Find the area of a kite with diagonal length of 10 and 25 meters.

Answers

Answer 1

The Area of the kite with the given diagonals is: 125 square meters.

What is a Kite?

A kite can be described as a quadrilateral having four (4) sides, which can be categorized into two pairs of congruent sides, each of them is adjacent to the other. A kite has two diagonals that intersect, where by the longer diagonal divides the smaller diagonal into equal halves.

An example of a kite is shown in the image attached below, where:

JL and KM are the diagonals of the kite.

How to Find the Area of a Kite?

The formula for finding the area of a kite is given as:

Area = 1/2 × (product of the lengths of the diagonals)

Given the following:

Length of diagonal 1 = 10 meters

length of diagonal 2 = 25 meters

Area = 1/2 × (product of the lengths of the diagonals) = 1/2 × (10 × 25)

Area of kite = 1/2 × (250)

Area of kite = 1/2 × (250)

Area of kite = 125 square meters.

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Find The Area Of A Kite With Diagonal Length Of 10 And 25 Meters.

Related Questions

what is the equation of 7.2+c=19 ?

Answers

7.2 + c = 19

c = 19 - 7.2

c = 11.8

Answer:

Your answer is 5.

Step-by-step explanation:

7.2 + c = 19

or, 14 + c = 19

or, c = 19 - 14

or, c = 5       ans.

Hope its helpful :-)

16. A rectangle's area is 18 m². Its perimeter is 18
m. One side is
(A)2 m
(B) 6 m
(C) 9 m
(D) 18 m

Answers

Answer is (B) 6
Reason
3 x 6 = 18 (area)
3 + 3 + 6 + 6 = 18 (perimeter)

The answer of your question is option (B)

Plot the axis of symmetry and the point where the maximum value occurs for this function: h(x) = -(x 2)2 8.

Answers

See attachment for the axis of symmetry and maximum point.

What is a function?A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depends on another quantity.

To plot the axis of symmetry:

The given function is: [tex]h(x) = -(x+2)^{2} +8[/tex]This function is in the form: [tex]g(x) = a(x-h)^{2} +k[/tex]Where the axis of symmetry is given by, x = h.y comparison, we have -h=2.This implies h=-2Therefore the axis of symmetry is x = -2.

Therefore, the maximum value occurs at the vertex, given by (h,k)=(-2,8).

So, see attachment for the axis of symmetry and maximum point.

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Ramiya is using the quadratic formula to solve a quadratic equation. her equation is x = startfraction negative 3 plus or minus startroot 3 squared minus 4(1)(2) endroot over 2(1) endfraction after substituting the values of a, b, and c into the formula. which is ramiya’s quadratic equation?

Answers

The quadratic equation exists [tex]$x^{2}+3 x+2=0$[/tex].

What is the formula of the quadratic equation?

If a quadratic equation exists [tex]$a x^{2}+b x+c=0$[/tex], the utilizing the quadratic equation the solutions for x will be given by

[tex]$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$$[/tex]

The solution for x exists

[tex]$x=\frac{-3 \pm \sqrt{3^{2}-4(1)(2)}}{2(1)}[/tex]

Comparing equations (1) and (2) we get, a = 1, b = 3 and c = 2.

Therefore, the quadratic equation exists [tex]$x^{2}+3 x+2=0$[/tex].

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Answer:

One guy said it was B. but I'm going with A.

Step-by-step explanation:

Ramiya is using the quadratic formula to solve a quadratic equation. her equation is x = startfraction negative 3 plus or minus startroot 3 squared minus 4(1)(2) endroot over 2(1) endfraction after substituting the values of a, b, and c into the formula. which is ramiya’s quadratic equation?

What is the smallest positive integer having eactly 5 different positive integer divisors?

Answers

The smallest positive integer having exactly 5 different positive integer divisors is 60.

What are positive integers?Positive integers are the numbers that we use to count: 1, 2, 3, 4, and so on. A collection of positive integers excludes numbers with a fractional element that is not equal to zero and negative numbers. Positive integers can be used for addition, subtraction, multiplication, and division operations.

To find the smallest positive integer having exactly 5 different positive integer divisors:

Take out the LCM of 1,2,3,4, and 5.The LCM of 1,2,3,4, and 5 is 60.

Therefore, the smallest positive integer having exactly 5 different positive integer divisors is 60.

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For 17-20, Find the value of each variable.

Answers

The unknown angles are as follows;

x = 180 degrees

r = 90 degrees.

How to find the angles of each value in a circle?

The angle subtended by an arc of a circle at its centre is twice the angle it subtends anywhere on the circle's circumference.

Therefore,

x = 2(90)

x = 180

Therefore, the sum of angle in a circle is 360 degrees.

Hence, the 2 angles of the arc are the same.

Therefore,

360 - 180 = 2r

2r = 180

divide both sides by 2

2r / 2 = 180 / 2

r = 90 degrees.

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Find the co-ordinates of a point which lies on the line joining M(7, -3) and N(-2,-5). If x ordinates of that point is 3.​

Answers

Answer:

(3, -3 8/9)

Step-by-step explanation:

Use a slope calculation or a graph to find the slope of the line.

m = (y-y)/(x-x)

m = (-3- -5)/(7- -2)

m = 2/9

Then write the equation of the line. I used point-slope form. (You could use y=mx+b, slope-intercept form, but you'd have to first calculate b as well)

Point-slope form:

y -Y = m(x-X)

y - -3 = 2/9(x- 7)

y + 3 = 2/9(x - 7)

We know the x-coordinate of the point we're looking for is 3. Fill that in as well and calculate the y that goes with it.

y + 3 = 2/9(3-7)

y+3=2/9(-4)

y = -8/9 - 3

y = -3 8/9

In decimal form this is -3.8888repeating

see image.

The point at x=3 on the line between M(7,-3) and N(-2,-5) is (3, -3 8/9).

To promote a new brand of shoes, a shoe store will run
a promotion using a jar containing 3 red balls marked
"10% off," 2 white balls marked "30% off," and
1 green ball marked "60% off." Each customer will
randomly select 1 ball from the jar to determine the
discount that the customer will receive on any single
pair of the new brand of shoes. Given that the new
brand of shoes regularly costs $60 per pair, what is the
average discount amount, in dollars, that the store can
expect to give each customer due to this promotion?

Answers

Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.

How much discount will the shoe store give on average?

The average discount in percentages will be:

= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)

= 5% + 10% + 10%

= 25%

The average discount in cash amounts is:

= 25% x 60

= $15

In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.

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PLS help

What is the area of the circle?

A. 50.24 m 2
B. 176 / 7 m 2
C. 100.48 m 2
E. 64 m 2

Answers

Answer is 50.24 m2.

Step by step.

Area is found with the formula A=pi radius squared.

We know radius is 1/2 diameter, so radius is 4.
Fill in the formula A = (3.14) (4^2) = 50.24 m2

Select the correct responses in the table.
The relationship between two numbers is described below, where xrepresents the first number and y represents the second number.
The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to
the first number multiplied by 7.
Select the equations that form the system that models this situation. Then, select the solution(s) of the system.
Equations
y² +16=x
x²=y+16
1-4y=7x
(2x)² =y+16
7y-1=4x
4y-1 =7x
(1,15)
(2.-12)
Solutions
(5,9)
(8,48)
(9,3)

Answers

The system that can help to model this are

x² = y + 164y - 1 = 7x

How to solve for the system of equation

We have the following equation. Remember that a good understanding of the question is what would help us to write the equation

The condition says:

The square of first number is equal to the sum of the second number and 16:

First number = x. Square of x = x²

second number = y + 16

For the second

The difference of 4 times the second number and 1 is equal to the first number multiplied by 7:

second number is y

4*y - 1= x*7

= 4y - 1 = 7x

Hence we would have the following as our equations

x² = y + 16

4y - 1 = 7x

The solution to the equation when graphed = 5, 9

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In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the
engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high
gear, the engine runs at the same speed as the drive shaft.
Engine speed = 2,100 r.p.m.
Transmission in first gear
Drive-shaft speed:

Answers

Engine is currently in first gear as mentioned in question

Speed=2100rpm

Drive shaft speed be x

3x=2100x=700rpm

Answer:

700 rpm

Step-by-step explanation:

A driveshaft is a shaft that transmits mechanical power.

Its speed is measured in rpm (revolutions per minute).

Engine speed

First gear: 3 × drive-shaft speedSecond gear: 1.6 × drive-shaft speedThird gear:  equal to drive-shaft speed

Given engine speed:

2,100 rpm

Therefore, the drive-shaft speeds in the different gears are:

First gear

Drive-shaft speed = 2100 ÷ 3 = 700 rpm

Second gear

Drive-shaft speed = 2100 ÷ 1.6 = 1312.5 rpm

Third gear

Drive-shaft speed = 2100 rpm

use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.
Find the accumulated value of an investment of $15,000 for 6 years at an interest rate of 5.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.

Answers

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Part (a): semiannually

Given:

P = $15,000r = 5.5% = 0.055n = 2t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}[/tex]

[tex]\implies \sf A=15000\left(1.0275}{2}\right)^{12}[/tex]

[tex]\implies \sf A=20771.76[/tex]

Part (b): quarterly

Given:

P = $15,000r = 5.5% = 0.055n = 4t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}[/tex]

[tex]\implies \sf A=15000\left(1.01375}\right)^{24}[/tex]

[tex]\implies \sf A=20817.67[/tex]

Part (c): monthly

Given:

P = $15,000r = 5.5% = 0.055n = 12t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}[/tex]

[tex]\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}[/tex]

[tex]\implies \sf A=20484.80[/tex]

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)

Part (d): continuous

Given:

P = $15,000r = 5.5% = 0.055t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=15000e^{0.055 \times 6}[/tex]

[tex]\implies \sf A=20864.52[/tex]

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Given f(x) = 3x - 5 which statement is true? Explain how.
(1) f(0) = 0
(2) f(3) = 4
(3) f(4) = 3
(4) f(5) = 0

Answers

Answer:

(2)

Step-by-step explanation:

by substituting the values of x into f(x) and evaluating

f(0) = 3(0) - 5 = 0 - 5 = - 5 ≠ 0

f(3) = 3(3) - 5 = 9 - 5 = 4 ← True

f(4) = 3(4) - 5 = 12 - 5 = 7 ≠ 3

f(5) = 3(5) - 5 = 15 - 5 = 10 ≠ 0

Hence, statement 2 is true for the equation f(x) = 3x-5

What is equation?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

 Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.

  Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

  Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.

  Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

Substituting the values of x into f(x) and evaluating

f(x) = 3x - 5

put x = 0

f(0) = 3(0) - 5

= 0 - 5 = - 5

put x = 3

f(3) = 3(3) - 5

= 9 - 5

= 4

put x = 4

f(4) = 3(4) - 5

= 12 - 5

= 7

put x = 5

f(5) = 3(5) - 5

= 15 - 5

= 10

hence statement 2 is true.

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How many 5-letter words can be made using exactly 5 of the letters from
TEXAS and MEXICO? Letters may only be used as many times as they appear. (For
example, XETEX is allowed. However, MATEA is not allowed, since the A appears twice
in MATEA but only once in the given words.)

Answers

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = [tex]3C_{1} ^{5} + 2C_{2} ^{5}[/tex]

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = [tex]3C_{1} ^{5} + 2C_{2} ^{5}[/tex]

Total number of ways = [tex]3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )[/tex]

Total number of ways = [tex]3(5) + 2(10)[/tex]

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

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can someone please help me(20 points will give brainliest!!!)

Answers

Answer:

Step-by-step explanation:

F starts at 200 and ends at 900

V starts at 0 and ends at 100

points(0,200) and (100,900)

200-900/0-100

= -700/-100

=7 which means every 7 it goes you another 100

this is all I got hope it helps

Calling out to anyone who knows this. Seeking assistance!

Answers

Answer: someone already answered this check the link out

Step-by-step explanation. https://brainly.com/question/11711784

Examine the ratios to find the one that is not equivalent to the others.

StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction

Which ratio is different from the other three?

Answers

The ratio is different from the other three is StartFraction 6 Over 10 EndFraction; 6/10.

Ratio

A ratio is a number representing a comparison between two named things.

StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction

2/5 = 6/10 = 8/20 = 12/30

2/5 = 0.4

6/10 = 0.6

8/20 = 0.4

12/30 = 0.4

Therefore, the ratio is different from the other three is StartFraction 6 Over 10 EndFraction; 6/10

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What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?

Answers

Answer:2

Step-by-step explanation:

help with Trigonometric identities

Answers

Answer:

Option 2

Step-by-step explanation:

Since theta is in the third quadrant, the sine of theta is negative.

By the Pythagorean identity,

[tex]\sin \theta=-\frac{\sqrt{105}}{13}[/tex]

So, using the double angle formula for sine, we get that

[tex]\sin 2\theta=\frac{16\sqrt{105}}{169}[/tex]

At what rate of interest will the sum of Rs . 5000 give an interest of Rs . 1450 in 1year ?​

Answers

Answer:

I = (PTR)/100

1450=(5000*1*R)/100

1450*100=5000R

145000/50000=R

29=R

Step-by-step explanation:

We know,

[tex] S.I. = \rm\cfrac{P*R*T}{100}[/tex]

Given,

Principal P = 5000

Rate R = R(Assume)

Time T = 1

Interest = 1450

Plug:

[tex]1450 = \frac{5000 \times r \times 1}{100} [/tex]

Solve:

[tex]1450 \times 100 = 5000 \times r[/tex]

[tex]145000 \div 5000 = r[/tex]

[tex]r \: = \: 29 \%[/tex]

Rate = 29

Therefore,the rate of Interest is 29%.

Using Euler's formula, how many
edges does a polyhedron with 9
faces and 14 vertices have?
[?] edges
Euler's Formula: F+ V=E+2

Answers

Answer:

Euler's Formula = F+V=E+2

F=9

V=14

So, 9+14=E+2

23=E+2

23-2=E

21=E

Hence, E (edges) = 21

Step-by-step explanation:

which expression shows how the distribuive property can be used to multiply 8x29?

Answers

The expression which shows how the distributive property of the can be used to multiply 8×29 as in the task content is; 8(20 + 9).

Which expression can be used to show how the distributive property can help multiply 8×29?

It follows from the task content that the given product to be multiplied is; 8×29.

Consequently, it follows from convention that the distributive property of multiplication allows that the multiplication in this case can be rewritten as follows;

8×29 = 8 (20 + 9)

Hence, we have; (8×20) + (8×9).

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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

The answer to this question is 32

Answer:

22

Step-by-step explanation:

| 2^3 - 4*3^2 |  - 4 = | 8 - 36| - 4 =  28-4 = 24

There was an earthquake in San Francisco April 18, 1906. More recently there was another earthquake in Columbia June 27, 2014. Earthquakes are measured using the associated amplitude on the Richter scale. Let a1 be the amplitude for the San Francisco earthquake and a2 be the amplitude for the Columbian earthquake.

San Francisco earthquake equations is below:

R1=log(a1/T)+B=7.8


Columbia earthquake equations is below:

R2=log(a2/T)+B=5.6



a. Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below: a1/a2

Answers

Solving a logarithmic equation, it is found that the San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.

How to find the ratios of the intensity of earthquakes?

As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are R1 and R2, with R1 greater than R2, the ratio of the intensities, that is, how much intense R1 is than R2, is given as follows:

[tex]r = 10^{\frac{R_1}{R_2}}[/tex]

For this problem, the intensities are given as follows:

San Francisco: R1 = 7.8.Columbia: R2 = 5.6.

Then, the ratio of the intensities is given as follows:

[tex]r = 10^{\frac{7.8}{5.6}} = 24.71[/tex]

The San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.

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Find the radius of a circle with
circumference of 23.55 feet.
Use 3.14 for í.
Hint: C = 2πr
radius = [?] feet please explain your answer so I can understand how to do the rest

Answers

Answer:

r = 3.75

Step-by-step explanation:

C = 2(pi)r (write equation)

r = c / 2pi (rearrange for r)

r = 23.55 / 2(3.14) (plug in variables)

r = 23.55 / 6.28 (simplify)

r = 3.75 (solve)

Arc CD is Two-thirds of the circumference of a circle. What is the radian measure of the central angle?
StartFraction 2 pi Over 3 EndFraction radians
StartFraction 3 pi Over 4 EndFraction radians
StartFraction 4 pi Over 3 EndFraction radians
StartFraction 3 pi Over 2 EndFraction radians

Answers

Using proportions, it is found that the radian measure of the central angle is given as follows:

[tex]\frac{4\pi}{3}[/tex] radians.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The entire circumference is equivalent to a central angle of [tex]2\pi[/tex] radians. Hence the radian measure of the central angle considering two-thirds of the circumference is given as follows:

[tex]\frac{2}{3} \times 2\pi = \frac{4\pi}{3}[/tex]

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Answer:

Step-by-step explanation:

c edge

What is the solution set 5.5x+15.5>32

Answers

Answer:

(3, ∝) or all values of x greater than +3

Step-by-step explanation:

The inequality is [tex]5.5x + 15.5 > 32[/tex]

Subtracting 15.5 from both sides yields

5.5x > 32 - 15.5 or 5.5x > 16.5

Dividing by 5.5 on both sides yields

x > 16.5/5.5 or x > 3

This means the inequality is valid for all values of x > 3

The solution set is the interval (3, ∝ )

1.Name 4 other angles whose cosine is the same as cos pi/3 . Explain using mathematical language how you know this is true.

2.Is this statement true or false? Explain your answer.
All angles that have the same cosine will have the same sine.

Answers

The trigonometry illustrates that the four angles whose cosine is the same as cos pi/3 will be 7∏/3, 13∏/3, 19∏/3, and 31∏/3

How to illustrate the information?

From the information, given cos (x), the value that is similar to cos x will be the sum of the angle and multiple of 360.

Therefore, for the angle cos(∏/3), the angles that are similar to this angle will be expressed as Cos(2∏n + ∏/3) where n is any positive integer.

Then the other four angles will be 7∏/3, 13∏/3, 19∏/3, and 31∏/3. Also, the statement that all angles that have the same cosine will have the same sine is false. The sine of an angle is simply equal to the cosine of the complementary angle.

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A circle is formed using a ribbon which has a radius of 28 cm. If a square has to be formed using the same ribbon, determine the length of the side of the square formed using the ribbon.​

Answers

The length of the side of the square is [tex]44 cm[/tex].

What is a Circle?A circle is made up of all points in the same plane that are equidistant from one another. Only the bordering points make up the circle.The following are a few examples of circles in daily life: the bicycle's wheel. Dinner dish. Coin.A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also the location of points evenly spaced apart from the center. The radius of a circle is measured from the center to the edge.

Determine the length of the side of the square:

Radius of circle[tex]=28.[/tex]

Circumference[tex]=2\pi r[/tex]

                        [tex]2\pi (28)=176[/tex]

Side of the square[tex]=\frac{176}{4} =44cm.[/tex]

The length of the side of the square is [tex]44 cm[/tex].

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A square field was enlarged by adding 5 feet to the length and width of the original field. if the area of the enlarged field is 576 square feet, what was the side length of the original field?

Answers

The side length of the original field is 19 feet.

What is square?

A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one). A square has four axes of symmetry, and its two finite diagonals (as with any rectangle) are equal. Bisection of a square by a diagonal results in two right triangles.

Suppose the original square is x feet wide. Since its the length and width are the same,

So, length of side of enlarged field = x+5

Area of new enlarged field =  side²  = ( x + 5 )²

So, the enlarged shape would be = ( x + 5 ) ( x + 5)

  Then ,  ( x + 5 ) ( x + 5) = 576

               ( x + 5 )²= 576

                x + 5 = √576

               x + 5  = 24

                 x = 24 - 5 ⇒ 19

Hence, The side length of the original field is 19 feet.

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