All categories

3 years ago

Find the area of right triangle. If necessary, round to the nearest tenth.

Mathematics

1 answer:

Finger [1]3 years ago

5 0

Answer:

b. 24 yd

Step-by-step explanation:

Hi, since we have a right triangle we have to apply the Pythagorean Theorem:, to find the missing side.

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (10 yd) and a and b are the other sides.

Replacing with the values given:

10^2 = 6^2 + b^2

100 = 36+b^2

100-36 = b^2

64 = b^2

√64 = b

b= 8

Now, we can calculate the area:

A =1/2x base x height = 1/2 x 8 x 6 = 24 yd

Feel free to ask for more if needed or if you did not understand something.

You might be interested in

Please help!!<br>fully simplify<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B300%7D%2B%5Csqrt%7B27%7D-%5Csqrt%7B

bija089 [108]

Answer:

The answer is 2

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

6 0

3 years ago

Read 2 more answers

A tangerine juice container is in the shape of a rectangular prism. The width is 26

geniusboy [140]

Answer:

V = 26d^2 + 624d

Step-by-step explanation:

Volume = Width x Depth x Height

V = 26 (d) (d+24)

Now distribute 26

V = 26d(d+24)

Then distribute 26d

V = 26d^2 + 624d

6 0

3 years ago

What two rational expressions sum to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B2%7D%7Bx%5E%7B2%7D-9%2B8%20%7D" id="TexFor

bulgar [2K]

Answer:

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

Step-by-step explanation:

Given

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

Required

Fill in the gaps

Going by the given parameters, we have that

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

$x^2 - 9x + 8$ , when factorized is $(x-1)(x-8)$

Hence; the expression becomes

$\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}$

Combine Fractions

$\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}$

Simplify the denominators

$4x + 2 = A + B$

By direct comparison

$A = 4x$

$B = 2$

Hence, the complete expression is

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

3 0

3 years ago

Read 2 more answers

A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerica

Vinvika [58]

0.45+19(0.35)

Total cost $7.10 (0.45+6.65)

8 0

3 years ago

Read 2 more answers

How do you solve 8a squared plus 2 = 634

Inga [223]

Answer:

a ≈ 8.9

Step-by-step explanation:

Set up the equation as so:

8a^2 + 2 = 634

First, subtract two from both sides:

8a^2 = 632

Then, divide by 8 to further isolate the variable.

a^2 = 79

To get rid of the squared, you have to take the square root of both sides. The square root of 79 is roughly 8.9. Ergo, a ≈ 8.9

8 0

3 years ago