Victor spent 1/2 of his salary on rent, 1/4 of the remainder on food and saved \mbox{Sh 1500). How much was his salary?​

The coordinates of F is (8.5, 7)

The coordinates of the points are given as:

D = (-2, -5)

F = (5, 3)

DF : FE = 4 : 2

Rewrite the ratio as

m = 4 : 2

The coordinate of the partition is calculated as:

F = 1/(m + n) * (mx2 + nx1, my2 + ny1)

This gives

(5, 3) = 1/(4 + 2) * (4 * x + 2 * -2, 4 * y + 2 * -5)

Evaluate the sum and the product

(5, 3) = 1/6 * (4x - 4, 4y - 10)

Multiply both sides by 6

(30, 18) = (4x - 4, 4y - 10)

By comparison, we have:

4x - 4 = 30

4y - 10 = 18

Solve the equations

x = 8.5

y = 7

So, we have:

F = (8.5, 7)

Hence, the coordinates of F is (8.5, 7)

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Answer:

Step-by-step explanation:

The measurement used to describe a television is the length of its diagonal. The relation between the width, height, and diagonal is described by the Pythagorean theorem.

The Pythagorean theorem tells us the relation between the sides of a right triangle and its hypotenuse. The diagonal of a rectangle is the hypotenuse of a right triangle whose sides are the width and height of the rectangle. If 'c' is the number of "ratio units" in the diagonal, we have ...

  4² +3² = c²

  c = √(16 +9) = 5

The diagonal of the screen is 5 ratio units, so the width is 4/5 of the length of the diagonal, and the height is 3/5 the length of the diagonal.

The width is ...

  (4/5)(47 in) = 37.6 in . . . width

The height is ...

  (3/5)(47 in) = 28.2 in . . . height

The area is the product of the width and height:

  A = WH = (37.6 in)(28.2 in) = 1060.32 in²

The area of the screen is 1060.32 square inches.

The drop-down menu will be 3 and 2.

The complex number z = 27i.

The radius of the cube root is: [tex]r\sqrt[3]{x}[/tex]

                                                  [tex]r\sqrt[3]{27}[/tex]

                                                  [tex]r=3[/tex]

Cube roots are located in a circle with a center at the origin and a radius of 3 units.

The complex number,z=a+ib is; Θ = tan⁻¹(b/a)

The complex number z=0+27i is:

                                                     Θ = tan⁻¹(27/0)

                                                     Θ = π/2

Cube roots have more than 3 arguments that differ by 2 π.

Therefore, The drop-down menu will be 3 and 2.

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The cube roots exist found on a circle with a center at the origin and a radius of 3. The cube roots contain arguments that vary by 2π over 3.

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

z = 27i

The radius of the cube root is found as;

r = ∛x

substituting the values in the above equation, we get

r = ∛27

r = 3

The cube roots are located on a circle with a center at the origin and a radius of 3 units.

The argument of a complex number, z = a+ib will be

[tex]\theta[/tex] = tan⁻¹(b/a)

The argument of a complex number z = 0+27i

[tex]\theta[/tex] = tan⁻¹(27/0)

[tex]\theta[/tex] = π/2

The cube roots have arguments that differ by 2π over 3.

Therefore, the correct answer for the drop-down menu exists in 3 and 2.

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The equation be x/100 [tex]*[/tex] 28,600 = 33,500, then we get 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

If you would like to know Trevor's total employee advantages, you can estimate this utilizing the subsequent steps:

To find the percentage of the total employee benefits x% of $28,600 exists $33,500.

To estimate the value of x, bring the variable to the left side and bring all the remaining variables to the right side. Simplify the values to estimate the result.

x/100 [tex]*[/tex] 28,600 = 33,500

x = 33,500 [tex]*[/tex] 100 / 28,600

x = 117.13% = 117%

117% - 100% = 17%

x = 17%

The correct result would be 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

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Answer:

It is D

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

[tex]12 = 3.4 = 3 .2.2 = 3.2^{2}\\12^{3} = (3.2^{2} )^{3} = 3^{3}2^{6} \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator } =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2[/tex]  

Answer:

I think the answer is 12 because 8/6 is 1.3333.... Continously so the smaller traingel is 1.33333 times smaller then the bigger one. So you jus do 9 x 1.3333... To get the bigger angels side

Answer:

First and second angles going upward

Answer: 2, 4, 6

Step-by-step explanation:

[tex]\displaystyle\\Answer:\ r=\sqrt{\frac{3V}{\pi h} } .[/tex]

Step-by-step explanation:

[tex]\displaystyle\\V=\frac{1}{3} \pi r^2h.\\[/tex]

Multiply both sides of the equation by 3:

[tex]3V=\pi r^2h.[/tex]

Divide both sides of the equation by πh:

[tex]\displaystyle\\\frac{3V}{\pi h} =\frac{\pi r^2h}{\pi h} \\\frac{3V}{\pi h}=r^2\\ r^2=\frac{3V}{\pi h} .\\r*r=\sqrt\frac{3V}{\pi h} *\sqrt{\frac{3V}{\pi h} } \\r=\sqrt{\frac{3V}{\pi h} } .\\[/tex]

The end behavior of the given polynomial is that as x → -∞ or  x → ∞, then, f(x) → 5

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get;

f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or  x → ∞, then, f(x) → 5

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The solution for the inequality given exists x > -11/10. The inequality contains an infinite number of solutions as long as it is greater than -11/10.

Given: 4(2 – x) > –2x – 3(4x + 1)

The inequality can be simplified to

8 - 4x > -14x - 3

subtract 8 from both sides of the equation, and we get

8 - 4x - 8 > -14x - 3 - 8

- 4x > -14x - 11

Add 14x from both sides

- 4x + 14x > -14x - 11 + 14x

10x > - 11

x > - 11/10

The solution for the inequality given exists x > -11/10. This means that any number greater than -11/10 exists as a solution to the inequality given. The inequality contains an infinite number of solutions as long as it is greater than -11/10.

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Answer:    C,E

Step-by-step explanation:

you did the work

Tthe inequality that describes this graph is y ≤ 1/3x - 4/3

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(0, -1.3) and (3, -0.3)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-0.3 + 1.3)/(3 - 0)

Evaluate

m = 1/3

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1/3(x - 0) - 1.3

Evaluate

y = 1/3x - 4/3

From the graph, we have the following highlights:

The first highlight above implies, the inequality can be any of ≥ and ≤

While the second highlight above implies, the inequality is ≤

Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3

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Answer:

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

  x° = 180° -105°

  x° = 75°

__

The value of the other angle is similarly found:

  w° = 180° -80°

  w° = 100°

__

Additional comment

This result comes from the inscribed angle theorem. That theorem tells you the measure of the inscribed angle is half the measure of the intercepted arc.

The opposite angles of a cyclic quadrilateral intercept the circle at the same two points, dividing the total 360° circle into two parts. Each angle has a measure equal to half its corresponding arc, so the total of the two angles is half the total of the two arcs: 360°/2 = 180°. The angles are supplementary.

Two angles and a non-included side of one triangle.

The AAS rule states that:

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

In the diagrams below, if AC = QP,

∠ A = ∠ Q,

∠ B = ∠ R,

then triangle ABC ≅ QRP.

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

There are 5 main rules of congruency for triangles:

SSS Criterion: Side-Side-Side.

SAS Criterion: Side-Angle-Side.

ASA Criterion: Angle-Side- Angle.

AAS Criterion: Angle-Angle-Side.

RHS Criterion: Right angle- Hypotenuse-Side.

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Answer:

-7.1931540532314155

Step-by-step explanation:

-7.1931540532314155

Answer: 4

Step-by-step explanation:

f(g(x)) = f(x+2) = 3(x+2) = 18

x + 2 = 6

x = 4

Q1: For 30 minutes, a person jogged 10 times along the perimeter of a rectangular field at 12 kilometers per hour. Find the square meters of the field if its length is twice its width.

Q2: A car is traveling at a speed of 75 kilometers per hour. In one minute, how many meters does the car travel?

Q3: What is the length of 2000 millimeters in inches? Round your answer to the nearest hundredth.

Hope this helps =)

Answer:

B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =240.50

   - Six T-Shirts and Five Sweatshirts: $75 + $145 = $220

Step-by-step explanation:

A. - Three T-Shirts and Seven Sweatshirts: $27 + $213.50 = $240.50

   - Six T-Shirts and Five Sweatshirts: $54 + $152.5 = $206.5

B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =240.50

   - Six T-Shirts and Five Sweatshirts: $75 + $145 = $220

C. - Three T-Shirts and Seven Sweatshirts: $35.01 + $210 = $245.01

   - Six T-Shirts and Five Sweatshirts: $70.02 + $150 = $220.02

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Answer:

Step-by-step explanation:

D, -9, 62.85, 6.28x100(628)

Answer:

Step-by-step explanation:

The answer would be C

Since of course negative 5 is a negative and any negative number plus a positive number would end up being a negative number and that means that that would be the least since no other number is a negative. The square root of 132.... Can it be bigger than 7  5/16? Yeah. Because the Square root of 132, if rounded, it would be 11 which 11 is greater than 7 which would mean the correct order would be -5 x 10^2,   7  5/16,  and the square root of 132.

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Answer:

5 and 5

Step-by-step explanation:

[tex]AB = BC =\sqrt{(4-0)^2+(3-0)^2}=5[/tex]

Answer:

AB = 5

BC = 5

Step-by-step explanation:

The formula to find the distance between two points is: [tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

AB: 5

The two points are A(-4,0) and B(0,3).

In the formula, it will be expressed as:

[tex]\sqrt{(0-(-4))^2+(3-0)^2}[/tex]

-->  [tex]\sqrt{4^2+3^2}[/tex] .

-->  [tex]\sqrt{16+9}[/tex]

-->  [tex]\sqrt{25}[/tex]

--> 5

BC: 5

The two points are: B(0,3) and C(4,0)

In the formula, it will be expressed as:

[tex]\sqrt{(4-0)^2+(0-3)^2}[/tex]

-->  [tex]\sqrt{(4)^2 + (-3)^2}[/tex]

-->  [tex]\sqrt{16 + 9}[/tex]

-->  [tex]\sqrt{25}[/tex]

--> 5

So both AB and BC is 5.

The explicit formula is Tn = 18[[tex]\frac{2}{3} ^{n-1}[/tex]]

here, we have to find n.

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

These equations form a pattern.

That is Tn = (2/3)^(n-1)(18)

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For this exercise, you could get the following lengths by using a scale (ruler):

A line segment can be defined as the part of a line in a geometric figure such as a triangle, that is bounded by two (2) distinct points and it typically has a fixed length.

In Geometry, a line segment can be measured by using the following measuring instruments:

In this scenario, you're required to determine the lengths of the given line segments. However, the geometric figure wasn't included and as such an accurate answer can't provided.

For instance, you could get the following lengths by using a scale (ruler):

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The greatest force acting on the ball to slow it down is Gravitational force.

When ball is thrown upwards then there will be two forces on the ball opposite to the motion of ball

1. Gravitational force (mg)

2. Air friction or air drag

Both forces are opposite to the motion of the ball and it will cause the decrease in the speed of the ball.

Now here due to less value of drag coefficient on the ball we will say that ball will decrease its speed more due to gravitational force compare to friction force of air.

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Answer:

S(1,2)

Step-by-step explanation:

The value that is being altered is the y value if you go from Q to T and then T to S. The x value = 1 and remains the same for point S.

To go from Q to T, you go from 8 to 5 on the y value. Remember x remains the same. That's three units (8 - 5 = 3)

To go from T to S must be 3 units as well, since the small diagonal is bisected. 5 - 3 = 2 is the answer.

So point S is noted as S(1,2)

Answer:

RT = 16[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using the sine ratio in right triangle QRT and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RT}{QR}[/tex] = [tex]\frac{RT}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 RT = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

RT = 16[tex]\sqrt{3}[/tex]

Answer:

See below

Step-by-step explanation:

Here is one way .... I showed you how to use Law of cosines in another Q

 use this to find  CB

CB^2 = 13^2 + 21^2 - 2(13)(21) cos 91      <==== solve for CB

THEN use law of SINES to find angle B

sin B / 21  =  sin 91 / CB           (CB you found using law of cosines above)

Answer:

m∠B = 57.5°

Explanation:

Use cosine rule:

a² = b² + c² - 2bc cos(A)

  inserting values

a² = 21² + 13² - 2(21)(13) cos(91)

a² = 619.529

a = √619.529

a = CB = 24.89 km

Then use sine rule:

sin(A)/a = sin(B)/b

sin(91)/24.89 = sin(B)/21

sin(B) = 21sin(91)/24.89

sin(B) = 0.843583...

B = sin⁻¹(0.843583) = 57.52° ≈ 57.5°

Answer:

there are 54 buffalos in 150 acres

Step-by-step explanation:

1. determine the rate of buffalos per acres

45 buffalos per 125 acres =

45 / 125 =

0.36 buffalos per 1 acre

now we know the rate of buffalos per 1 acre, we can multiply it by the required amount of acres (in this case 150)

buffalos per 1 acre x total acres = total buffalos per total acres

0.36 x 150 = 54 buffalos

therefore, there are 54 buffalos per 150 acres.

hope this helps :)

The value of the given expression is 7.0 × 10⁸

From the question, we are to determine the value of the given expression

The given expression is

(3.5x10⁶)÷(5x10-³)

The expression can be simplified as follows

(3.5x10⁶)÷(5x10⁻³)

= (3.5 ÷ 5) × (10⁶ ÷ 10⁻³)

= (0.7) × (10⁶⁻⁽⁻³⁾)

= 0.7 × (10⁶⁺³)

= 0.7 × (10⁹)

= 7.0 × 10⁸

Hence, the value of the given expression is 7.0 × 10⁸

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Answer:

B. 10/13

Step-by-step explanation:

There are 52 cards in a deck. Divide that by 4 and get 13, thats how many diamonds there are. There are 36 number cards. Since 9 of the cards in diamonds are numbers, we dont count those ones. 13-9 is 4, so we add that to our total to get 40. 40/52 is the same as 10/13.

Answer: 10/13

Step-by-step explanation:

There are 52 cards in a deck. Every 13 cards, 9 will be number cards so there are 36 number cards. There are 13 diamond cards. There are 9 diamond cards that are number cards. So the probability of the following is (36+13-9)/52 = 40/52 = 10/13

Stephen read about 9 pages more each week.

What is a linear equation in math?

If stephen reeds 278 pages in 7 week ,

To find number of pages read in 1 week, divide 278 by 7

                    = [tex]\frac{278}{7}[/tex]  ⇒ 39.71

Another person reads 31 pages each week.

So stephen reads allmost 40  per week and alice 31.

Then, we need to find the difference between them

Difference = 40 - 31 = 9

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