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notka56 [123]
3 years ago
10

The legs of a right triangle are 3 units and 7 units. What is the length of the hypotenuse? Round your answer to the nearest hun

dredth.
4.00 units
5.00 units
6.32 units
7.62 units
Mathematics
2 answers:
Maksim231197 [3]3 years ago
6 0

it would be 6.32 units

marysya [2.9K]3 years ago
6 0

Answer:

7.62

Step-by-step explanation:

The formula for the Pythagorean Theorem is a^2 + b^2 = c^2

If we input the number 3 and 7 into the equation, we get 3^2 + 7^2 = c^2

3^2 is 9, and 7^2 is 49, and 49 + 9 is 58

The square root of 58 is 7.62

Sorry that I'm late, I hope this can help someone in the future!

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Find the length of the missing side. The triangle is not drawn to scale.
suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

a^2+b^2=c^2

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it  is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

a^2+15^2=17^2

Simplify exponents:

a^2+225=289

Isolate the variable. Subtract 225 from both sides:

a^2+225-225=289-225\\a^2=64

Find the square root of both sides:

\sqrt{a^2}=\sqrt{64}\\  a=8

The missing leg length is 8.

7 0
3 years ago
I am a 3-digit number. If rounded off to the nearest hundreds. I become 500. If rounded off to the nearest tens, I become 540. I
dimulka [17.4K]

Answer:

535 is the cirrext answer

6 0
3 years ago
Katie gives Maggie half of her pencils. Maggie keeps 5 and gives the rest to jamil. Write an expression for the number of pencil
Inga [223]

Answer

Write an expression for the number of pencils Maggie gives to jamil.

To prove

Let us assume that the number of pencils Katie have = x

As given

Katie gives Maggie half of her pencils.

Katie\ gives\ Maggie\ half\ of\ her\ pencils = \frac{1x}{2}

As given

Maggie keeps 5 and gives the rest to jamil.

Thus

Number\ of\ pencils\ Maggie\ gives\ to\ jamil = \frac{1x}{2} - 5

Therefore the expression for the number of pencils Maggie gives to jamil are  \frac{1x}{2} - 5.





5 0
3 years ago
Read 2 more answers
At the library, 56 people borrowed
irina [24]

Answer:

24 people borrowed the books on Friday

Step-by-step explanation:

Every day, the number of books is being subtracted by 2.

56 - Monday (-8)

48 - Tuesday (-8)

40 - Wednesday (-8)

32 - Thursday (-8)

24- Friday

5 0
2 years ago
Law of cosines <br><br> HELP MES
Lorico [155]

Answer:

70.52 degrees

Step-by-step explanation:

To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that

XY = 5+4 = 9 CM

XZ = 6+5 = 11 CM

ZY = 4+6 = 10 CM

Now we can apply the cosine rule

C\:=\:\sqrt{A^2+B^2-2ABcosx}

We need to rearrange the rule to solve for x, our missing angle

x\:=\:cos^{-1}\left(\frac{a^2+b^2-c^2}{2ab}\right)

solving for our unknown angle:

x\:=\:cos^{-1}\left(\frac{9^2+10^2-11^2}{2\cdot 9\cdot 10}\right)

x\:=\:70.52^{\circ }

Therefore angle YXZ is 70.52 degrees

7 0
3 years ago
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