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Fofino [41]
3 years ago
9

Given: EFGH is a square Find the length of FH.

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

B) 3√2

Step-by-step explanation:

FH = √GH²+FG² = √18 = 3√2

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If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

8 0
3 years ago
What is the equation shown in the graph? Explain your answer.
Yuliya22 [10]

Answer:

y=x

Step-by-step explanation:

The graph is going 1 up and 1 to the right. You can plug in a value for x and get y. So if you plug in 1 for x, you get 1 for y and if u plug in 2 for x, you get 2 for y, so when you graph (1, 1) and (2, 2) you know the graph is y=x.

(can I get brainliest please)

4 0
3 years ago
Is 30/12 and 40/16 equivalent?
vlabodo [156]
We\ pull\ the\ whole\ numbers\ from\ fractions:\\\\ \frac{30}{12}=2\frac{6}{12}=2\frac{1}{2}\\\\
\frac{40}{16}=2 \frac{8}{16}=2\frac{1}{2}\\\\\
\frac{30}{12}=\frac{40}{16}\\\\They\ are\ equivalent.
6 0
3 years ago
Find the missing value <br> 3/8 +1/?=5/8<br> 3/4-1/?=1/4<br> ?/6 + 1/8= 23/24
steposvetlana [31]
1st one : is 1/4 ( subtract 3/8 from both sides and simplify 5/8 - 3/8 to 1/4. )

2nd one : is 1/2 ( subtract 3/4 from both sides, simplify 1/4 - 3/4 to 1/-2, and then multiply both sides by -1 )

3rd one : is 5/6 ( subtract 1/8 from both sides and simplify 23/24 - 1/8 to 5/6).
6 0
3 years ago
Read 2 more answers
I got the answer as letter C, can someone check me to make sure that is correct? Thank you in advance.
Flura [38]

Answer:

The x's cancel  so definitely is choice C:  1/9

Step-by-step explanation:

We have   root( 1/(x^2) )  *  root ((x^2) / 81)

simplifying this we get as follows:

root( 1/(x^2) )  *  root ((x^2) / 81)

= \sqrt{(1/x^2 )}  * \sqrt{(x^2)/81}

=  ( 1/x )   *  (x/9)

the x's cancel

= 1/9

choice C   1/9

3 0
3 years ago
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