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dalvyx [7]
3 years ago
15

A brace for a shelf has the shape of a right triangle. Its hypotenuse is 16 inches long and the two legs are equal in length. Ho

w long are the legs of the triangle?
Mathematics
1 answer:
Flura [38]3 years ago
8 0
Using pythag a^2+b^2=16^2
16^2=256
and since a=b the equation is 2x^2=256
/ each side by 2
x^2=128
x=sq rt of 128=11.31 roughly
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Which statement describes the graph of f(x) = 4x2 + 20x + 25?
Montano1993 [528]
This  is a perfect square  parabola
 f(x) = (2x + 5)^2 

the graph will be a parabola opening upwards and will touch the x-axis at x = -2.5
8 0
3 years ago
Read 2 more answers
The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
abruzzese [7]

Answer:

  • A. Acute Triangle

Step-by-step explanation:

<u>Lets verify with Pythagorean:</u>

  • 17² = 289
  • 13² + 14² = 169 + 196 = 365
  • 289 < 365

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles<u> are less than 90°</u>.

With this the triangle is <u>acute</u>.

Correct choice is A.

6 0
3 years ago
Find the mean absolute deviation
pantera1 [17]
First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28
6 0
3 years ago
Read 2 more answers
a company is offering a job with a salary of $30,000 for the first year and a 5% raise each year after that. if the 5% raise con
Ber [7]
<span>First year is 30,000.
</span><span>Earn 5% raise every year.
</span>Growth factor is 1.05 this sounds a lot like a geometric ratio.

An = A1 × r^(n-1)Sn = A1 × (1 - r^n) / (1-r)<span>n = 40
A1 = 30,000
A40 = $30,000 * 1.05^39 = $201,142.53

S40 = A1 * (1 - 1.05^40) / (1-1.05) which becomes:
S40 = 30,000 * -6.039988712 / -.05 which becomes: 
</span>S40 = -181,199.6614 / -.05 which becomes:
S40 = $3,623,993.227

<span>The individual yearly calculations are shown below: </span>

8 0
4 years ago
Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
Marta_Voda [28]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

B = 26°

Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

Please mark as brainliest if you found this helpful! :)
Thank you <3
4 0
3 years ago
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