two buildings are built 10m apart. *the angle of depression from the top of the shorter building (y) to the foot of the taller building (p) is 53. *the angle of elevation from the top of the shorter building to the top of the taller building (x) is 28. *calculate the height (xp) of the taller building. page 262 trigonometry topic 11 of text book​

Answer:

distance = 10

2/7 /(22) = 10

Answer:

Isosceles

Step-by-step explanation:

An Isosceles triangle has an acute angle (less than 45°), and this photo shows a triangle with two matching sides with one side being longer.

A right triangle would have a 90° angle which this photo doesn't have

An Equilateral triangle has all 60° sides, since it doesn't have all matching sides, it cannot be the answer.

A Scalene triangle is similar to this photo except it has 30° 60° and 90° angles, which this photo doesn't have.

I hope this helps!

f(x) = -1/ 3x and f(x) = -z/xy are both examples of inverse variations. Option B

Inverse variation can be defined as the relationships between variables represented in the form of y = k/x

where;

From the options given, we can see that;

f(x) = -1/ 3x

f(x) = -z/xy

Both take the form of inverse variations

Thus, f(x) = -1/ 3x and f(x) = -z/xy are both examples of inverse variations. Option B

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Answer:

[tex]3.5 - 2 \times 100 \div 2[/tex]

Answer:

The percentage increase in the puppy's weight is 75%.

Step-by-step explanation:

We can find the percentage increase using the following formula:

[tex]\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}[/tex].

In this case,

• initial = 2 kg

• final = 3.5 kg

Substituting these values into the formula:

[tex]{\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}[/tex]

                ⇒ [tex]\frac{1.5}{2} \times 100[/tex]

                ⇒ [tex]0.75 \times 100[/tex]

                ⇒ 75%

The roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

The equation of the function is given as:

f(x) = x^2 - 93987

The above equation is a quadratic equation

Express the equation as a difference of two squares

f(x) = (x - √93987)(x + √93987)

Set the equation of the function to 0

(x - √93987)(x + √93987) = 0

Split the factors of the above function equation as follows

x - √93987 = 0 and x + √93987 = 0

Solve for x in the above equations

x = √93987 and x = -√93987

Hence, the roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

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The conversion of 9.204 to a mixed number will be 9 51/250.

It should be noted that converting decimal to mixed numbers simply means changing them to whole numbers and fractions.

Therefore, 9.204 will be:

= 9 204/1000

= 9 51/250

The percentage equivalent of 3 7/8 will be:

= (3 × 100) + (7/8 × 100)

= 300 + 87.5

= 387.5%

Dividing 72 in the ratio 2:3:4 will be:

= 2/9 × 72 = 16

= 3/9 × 72 = 24

= 4/9 × 72 = 32

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Answer:

25.12 rounded.

Step-by-step explanation:

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

C=[tex]\pi[/tex]d

C = [tex]\pi[/tex](8)

C = 25.12 rounded.

Answer:

25 and 1/7 mm

Step-by-step explanation:

Diameter = circunference / π

π = 3.1416    aprox.

Then:

8 = citcunference / 3.1416

8 * 3.1416 = circunference

25.1428 = circunference

1/7 = 0.1428

Then:

25.1428 = 25 + 1/7

= 25 1/7

Using proportions, the missing side length in the image below is of 20.

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.

In this problem, the side lengths are proportional, being related by the rule of three given as follows:

x/10 = 14/7

Applying cross multiplication:

7x = 14 x 10

7x = 140

x = 140/7

x = 20.

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The events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)

The probability values are given as:

P(A) = 0.3

P(B) = 0.6

P(A or B) = 0.8

For mutually exclusive events, we have:

P(A or B) = P(A) + P(B)

Substitute the known values in the above equation

P(A or B) = 0.3 + 0.6

Evaluate the sum

P(A or B) = 0.9

From the given parameters, we have

P(A or B) = 0.8

Hence, the events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)

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Answer:

D

Step-by-step explanation:

edge 2023

The sum of P(A) and P(B) is not equal to P(A or B).

Answer:

∠JKL = 98

Step-by-step explanation:

the two small vertical lines on JK & KL means that

JK & KL are the same length which means that

same length means same degrees

∠KJL & ∠KLJ are the same degrees

∠KJL & ∠KLJ are both 41 degrees

triangles are 180

41 + 41 = 82

180 - 82 = 98

The point of intersection of the two lines is at (1,-1)

The given system of expression is shown below

x - 2y = 3

5x + 3y = 2

The solution to the system of equation is the point of intersection

From equation 1

x = 3 + 2y

Substitute into 2

5(3+2y) + 3y = 2

15 +10y + 3y = 2

13y = -13

y = -1

Substitute y = -1 into 3

x = 3 + 2y

x = 3+(-2)

x = 1

Hence the point of intersection of the two lines is at (1,-1)

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Answer:

23 customers on payment plan B

13 customers on plan text B

Probability: 13/23

Step-by-step explanation:

The function increased at the highest rate in the interval [1/8, 1/2], as can be seen from the function value and its interval values.

A function's maxima and minima are its highest and lowest values, respectively, either on the entire domain or inside a certain range. They are referred to as the function's extrema collectively. The plural forms of maximum and minimum for a function are respectively known as maxima and minima.

The extreme values of a function—their maximum and minimum values—are referred to by the words maxima and minima. Maximum refers to the maximum value or amount that is feasible. A function's biggest value within its range is known as its absolute maximum.

f(x)=6log2x-3

For the interval x ∈[2, 6]

f(x) ∈ [-0.678, 3]

For the interval x ∈ [1/8, 1/2]

f(x) ∈ [ -9.96, -5.32]

For the interval x ∈ [1, 2]

f(x) ∈ [-3, -0.67]

For the interval x∈ [1/2, 1]

f(x) ∈ [-5.32, -3]

The function increased at the highest rate in the interval [1/8, 1/2], as can be seen from the function value and its interval values.

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Answer:

Hight = 22 cm

Volume of BlueCone=  92 [tex]cm^2[/tex]

Step-by-step explanation:

Finding the Hight of The Red Cone(Check the Image)

Volume of The Blue Cone(Check Image Below)

Answer:

Below in bold.

Step-by-step explanation:

Minimum 24

Lower quartile 29

Median  43

Upper quartile = (49 + 51) / 2 =  50

Maximum = 56

Interquartile range =  50-29 = 21.

The midpoint of the given line in coordinate form (x, y) is -0.5, 0)

The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:

M(x, y) = {x1+x2/2, y1+y2/2}

Given the coordinate points on the line (-2, 1) and (1, -1)

Substitute the given coordinate points into the formula to have:

M(x, y) = {-2+ 1/2, 1-1/2}

M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)

Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)

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The sinusoidal equation will be Y=4.25 sin[(π/26)(t-11)]+12.25

The following can be deduced:

Function Y=Asin(wt-Φ)+β

Amplitude A=(16.5-8)/2=4.25 hours

Vertical shift  β= (16.5+8)/2=12.25

Period is 52 weeks, thus 52=2π/ω→ω=2π/52=π/26

The phase shift Φ can be gotten if we divide the whole year in 4 sub-intervals each interval would be :

[0,13], [13,26],[26,39],[39,52]

The summer solstice occurs at the end of week 24.

The winter solstice occurs at the end of week 51.

The maximum of sine function happens at the end of the first sub-interval [0,13]

Here, Φ is 11, thus, the function would be

Y=4.25 sin[(π/26)(t-11)]+12.25.

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Answer:

g = 6 / 3 x 2

Step-by-step explanation:

g = 6 / 3 x 2 because 92 / 2 = 46. 46 x 3 = 138. so / 3 = 46 x 2 = 92

Thus, Erin required 4 gallons of gas to drive 92 miles.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the gallon used by Erin bey and distance traveled be x
Now fuel consumed by Erin is directly proportional to the distance traveled i.e.
y ∝ x
y = ax   - - - - - - (1)
where is the constant

Now put y = 6 and x = 138
6 = a * 138
a = 6/138
a = 0.043
Now put a in equation 1

y = 0.043x

The above expression is a required expression that implies how mush gallons of gas Erin used to travel a certain distance.

Erin needs to drive 92 miles,
Put x = 92 in above expression
y = 0.043 * 92
y = 4 gallon

Thus, Erin required 4 gallons of gas to drive 92 miles.

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Answer:

  ∠1 = 36°

Step-by-step explanation:

All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...

  10(∠1) = 360°

  ∠1 = 36° . . . . . . . . divide by 10

Answer:   36°

Step-by-step explanation:   Trust Me!

Answer is correct on Edge.  Good Luck! :)

In the regular decagon shown, what is the measure of angle 1?

360° is always the sum of all measures of all exterior angles of a convex polygon. A decagon have 10 sides.

Since ∠1 = 36°, then each other angle should measure the same, 36°.

In order to know whether the sum of all the angles equal 360°,
we need to multiply:  36° x 10.

36° x 10= 360°.

And sure enough the answer is correct.

The speed of the wave is 0.83 m/s.

According to the statement

we have given that the equation and we have to find the speed of the wave.

So, For this purpose, we know that the

The given equation is y(x,t) = (9. 13 mm) sin [(6. 65 m^-1)x - (5. 52 s^-1)t]

Then we have to find the speed of the wave

So, Comparing y(x,t) = (9. 13 mm) sin[(6. 65 m-1)x - (5. 52 s-1)t]

to the general expression y(x,t)=y m sin(kx−ωt),

Because the general expression is y(x,t)=y m sin(kx−ωt)

we see that k= 6.65 m −1 and ω= 5.52 rad/s.

The speed of the wave is

v=ω/k=(5.52 rad/s)/(6.65 m )= 0.83 m/s

So, The speed of the wave is 0.83 m/s.

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Answer:

Step-by-step explanation:

Hello!

apply distributive law

[tex]a(b - c) = ab - ac[/tex]

2(3-8y)=2.3-2.8y

=6-16y

Hope it helps!

DPU is the number of defects in a sample divided by the number of opportunities while DPMO is the number of defects divided by the number of units tested within a sample. Option B

Defects per unit (DPU) can be defined as the number of defects divided by the number of opportunities

It is also seen as the universal measure of quality.

For example, if there are 100 defects in 1,000 units produced, then the defects per unit will be 0.01.

Defects per million opportunities can be defined as a mathematical calculation of the estimated quality of a process

From this information, we can conclude that DPU and DPMO are measure of defects in a sample.

Thus, DPU is the number of defects in a sample divided by the number of opportunities while DPMO is the number of defects divided by the number of units tested within a sample. Option B

Complete question is;

________ is the number of defects in a sample divided by the number of opportunities while ________ is the number of defects divided by the number of units tested within a sample.

a. DPMO, DPU

b. DPU, DPMO

c. RTY, FTY

d. FTY, RTY

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Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

Check the picture below.

[tex] \sqrt{112x {}^{6}y {}^{3} {z}^{5} } \\ \sqrt{(2 {}^{4} \times 7 )x {}^{6}y {}^{2}yz {}^{4} z } \\ 2 {}^{2}x {}^{3} yz {}^{2} \sqrt{7yz} [/tex]

The cost of each jersey is $8 dollar and that of shorts is $5

This are expression that contain unknown equation and two or more equation.

According to the question, a soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

The system of equation that represent the expression is given as;

12x + 12y = 156

4x + 6y = 62

____________
6x + 6y = 78

4x + 6y = 62

Subtract

6x-4x = 78 - 62

2x = 16

x = 8

since 4x + 6y = 62

2x+3y = 31

2(8) + 3y = 31

3y = 31-16

3y = 15

y = 5

Therefore the cost of each jersey is $8 dollar and that of shorts is $5

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Answer:

2:3

Step-by-step explanation:

ratio = 4:7

4 parts = 48

1 part = 12

Mary has 48

Anne has 84

Mary will have 56

56:84 = 2:3

225/0.88*100%

255.68*100

25,568 pounds in pantry