Use the figure below to find AC<br><br> A. 16<br><br> B. 20<br><br> C. 40<br><br> D. 50

The two shortest sides of a right triangle are 10 in. And 24 in. long. What is the length of the shortest side of a similar righ

ivanzaharov [21]

If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
$\sqrt{10^2 + 24^2}$
= $\sqrt{676}$
= $26$

Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If $x$ = the scale factor the first triangle is enlarged by then
$26x = 39$ and $24x = 36$
⇒ $x = 1.5$

Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
$10(1.5) = 15$
So the length of the shortest side of the other triangle is 15in.

You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.

5 0

4 years ago

Read 2 more answers

Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must

maks197457 [2]

Answer: $3,581

Step-by-step explanation:

As she plans to save from her net income, we have to find the net income first:

= Net income - Federal taxes - Social and Medicare taxes

= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)

= $23,875.50

The savings will be:

= Net income * Savings percentage

= 23,875.50 * 15%

= $3,581.325

= $3,581

8 0

3 years ago

Using the functions f(x) = (3 - x)/(x2 + 4) and g(x) = 3x, find the value of (f*g)(2).

wariber [46]

9514 1404 393

Answer:

(f×g)(2) = 3/4

Step-by-step explanation:

For each of the functions, put 2 where x is and evaluate the expression.

f(2) = (3 -2)/(2² +4) = 1/8

g(2) = 3×2 = 6

Then the product is ...

(f×g)(2) = f(2)×g(2) = (1/8)×6 = 6/8

(f×g)(2) = 3/4

4 0

3 years ago

If both cars in Exercise 62 are on one side of the plane and if the angle of depression to one car is 38∘ and that to the other

Sati [7]

The two cars lying on one side of the plane are 50 meters apart.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

let us assume that the height is 100 m. Let d represent the horizontal distance. For depression of 38°, Ф = 90 - 38 = 52°, hence:

tan(52°) = d / 100

d = 128 m

For depression of 52°, Ф = 90 - 52 = 38°, hence:

tan(38°) = d / 100

d = 78 m

Distance apart = 128 - 78 = 50 m.

The two cars lying on one side of the plane are 50 meters apart.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0

2 years ago

The following set of numbers represents the number of hours a group of students spent reading over the course of two weeks.

irina1246 [14]

Answer:

i don't know. sorry!

Step-by-step explanation:

5 0

3 years ago

Use the figure below to find AC A. 16 B. 20 C. 40 D. 50