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2 years ago

What is the length of the hypotenuse ?

Mathematics

1 answer:

snow_lady [41]2 years ago

5 0

Answer:

3√2

Step-by-step explanation:

In a 45-45-90 triangle, the two legs are the same length while the hypotenuse is √2 times larger.

3*√2 = 3√2

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There are 221 students on a field trip.

Liono4ka [1.6K]

The equation that models the students is a linear equation

The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

<h3>How to determine the equation?</h3>

The given parameters are:

Students = 221

Van = 5

The rest students = 6 buses

Start by calculating the number of students remaining:

Remaining students = 221 - 5

Remaining students = 216

Represent the number of students in each bus with x.

So, we have:

6 buses * x = Remaining students

This gives

6x = 216

Divide both sides by 6

x = 36

Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

Read more about linear equations at:

brainly.com/question/15602982

4 0

2 years ago

Solve GHI. Round the answer to the nearest hundredth.

Sedaia [141]

Answer:

Part 1) $HI=15\ units$

Part 2)

Part 3) $< I=28.07\°$

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

$GI^{2} =GH^{2}+HI^{2}$

substitute the values and solve for HI

$17^{2} =8^{2}+HI^{2}$

$HI^{2}=17^{2}-8^{2}$

$HI^{2}=225$

$HI=15\ units$

Part 2) Find the measure of angle G

In the right triangle GHI

$cos(G)=\frac{GH}{GI}$

substitute the values

$cos(G)=\frac{8}{17}$

$G=arccos(\frac{8}{17})=61.93\°$

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values

$61.93\°+90\°+< I=180\°$

$< I=180\°-(61.93\°+90\°)=28.07\°$

7 0

4 years ago

sandra has $691.43 in her checking account how much does she have in her account after she makes on withdrawal of $327.19 and a

nordsb [41]

Answer:

576.99

Step-by-step explanation:hope this helps;)

7 0

3 years ago

If your grocery bill came to $205.67 and was reduced to $145.90 after coupons, what is the percent decrease?

katrin [286]

Answer:

I believe the answer is -29.06%

4 0

3 years ago

The sound intensity of rustling leaves is 100 times

DedPeter [7]

Answer: 20 Decibels

Step-by-step explanation:

I don't know

8 0

3 years ago

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