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1 year ago

8. Which situation BEST represents an inverse variation ?

Mathematics

1 answer:

Mademuasel [1]1 year ago

4 0

The correct answer is option D.

Explanation:

Inverse variation implies negative relationship. This means that as one of the quanties being compared increases the other decreases and vice versa..

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The diagram shows two vertical masts, AB and CD, on horizontal ground. The height of AB is 500m and the height of CD is 350m. Th

Zina [86]

Given:

The lines AB and CD, on horizontal ground.

The height of AB is 500 m.

The height of CD is 350 m.

The angle of elevation of B from D is 30°

We need to determine the distance AC.

Length of BE:

Let us construct a line that is parallel to AC.

Let the line be ED.

The length of BE is given by

$BE=AB-AE$

$BE=500-350$

$BE=150$

Thus, the length of BE is 150 m

Length of ED:

The length of ED can be determined using the trigonometric ratio.

Thus, we have;

$tan \ 30^{\circ}=\frac{ED}{BE}$

Substituting the values, we get;

$\frac{\sqrt{3}}{3}=\frac{ED}{150}$

$\frac{\sqrt{3}}{3}\times 150=ED$

$50\sqrt{3}=ED$

Thus, the length of ED is 50√3 m

Length of AC:

From the figure, it is obvious that the sides ED and AC have the equal length.

Thus, we have;

AC = ED = 50√3

Simplifying, we get;

$AC=50 \times 1.732$

$AC=86.6 \ m$

Hence, the length of AC is 86.6 m

5 0

3 years ago

Triangle xyz is similar to triangle xvw. write the congruence statements that must be true.

Lunna [17]

Answer:

∠ Y = ∠ V

∠ Z = ∠ W

$\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}$

Step-by-step explanation:

It is given that Δ XYZ is similar to Δ XVW.

Since corresponding angles of similar triangles are equal,

∠ X = ∠ X

∠ Y = ∠ V

∠ Z = ∠ W

Also, since corresponding sides of similar triangles are in proportionate,

$\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}$

7 0

3 years ago

Read 2 more answers

Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?

nlexa [21]

Answer:

uuummm i need this answer too actually

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

You build 7 model airplanes during the summer. At the end of the summer, you have 25 model airplanes. How many model airplanes d

zimovet [89]

Answer:

Step-by-step explanation:

You have 25 when you are done, but you made 7, so subtract that from 27.

25-7 equals 18.

6 0

4 years ago

You leave a 15% tip of $3.12. How much was the bill?

dangina [55]

Answer:

$3.61 cents

Step-by-step explanation:

Given the following question:

15% of 3.12

To find the answer we use the formula to calculate percentages, then we add that answer to the initial bill.

$\frac{p\times n}{100}$
$\frac{15\times3.12}{100} =15\times3.12=46.8\div100=0.468$
$=0.468$

Round:
$0.468$
$8 > 5$
$0.47$
$t=0.47$

Now add:
$3.14+0.47=3.61$
$=3.61$

After leaving a 15% tip, the total amount you would pay is "$3.61 cents."

Hope this helps.

6 0

2 years ago