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3 years ago

15

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

1 answer:

ankoles [38]3 years ago

5 0

Answer: $8\sqrt{3}$

Step-by-step explanation: x^2 + b^2 = c^2 x^2 + 8^2 = 16^2 x^2 + 64= 256 x^2= 192 x= $\sqrt{192}$ x= 8 $\sqrt{3}$

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Solve x 2 - x - 5/2 = 0 using the quadratic formula.

rewona [7]

Answer:

your answer would be: x=1±√11 all divided by 2

Hope this helps

~QueenSupreme AKA Trinity

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3 years ago

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The ratio of shoes sold to sandals was 5:2. if there were 40 sandals sold, how many shoes were sold?

Angelina_Jolie [31]

It'd be best to put it into a proportion.
$\frac{2}{5} = \frac{40}{x}$
Cross multiply, divide by 2
The answer is 100 shoes.

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3 years ago

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If the measure of angle BCD=51 degrees, solve for x.

BabaBlast [244]

Answer:

$x=5$

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

so

$m\ angle BCD=m\angle BED=51^o$

$m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o$ --- > given problem

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EFD

$m\ angle FED+m\ angle FDE+m\ angle EFD=180^o$

substitute the given values

$25.5^o+55^o+m\ angle EFD=180^o$

$80.5^o+m\ angle EFD=180^o$

$m\ angle EFD=180^o-80.5^o$

$m\ angle EFD=99.5^o$

step 2

Find the measure of angle EFB

we know that

$m\angle EFB+m\angle EFD=180^o$ ---> by supplementary angles

we have

$m\ angle EFD=99.5^o$

substitute

$m\angle EFB+99.5^o=180^o$

$m\angle EFB=180^o-99.5^o$

$m\angle EFB=80.5^o$

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EBF

$m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o$

we have

$m\angle BEF=m\ angle FED=25.5^o$

$m\angle EFB=80.5^o$

$m\angle EBF=(14x+4)^o$

substitute

$25.5^o+80.5^o+(14x+4)^o=180^o$

solve for x

Combine like terms

$(14x+110)^o=180^o$

$14x=180-110$

$14x=70$

$x=5$

4 0

3 years ago

1/2 divided 1/4 Help me

s2008m [1.1K]

The answer is two my g

3 0

3 years ago

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Write the expression sin 37 degrees in terms of cosine.

sergiy2304 [10]

Answer:cos(53), cos 53 degrees

Step-by-step explanation: sin(angle)= cos(90-angle)

sin(37)=cos(90-37)=cos(53)

7 0

3 years ago