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Svetlanka [38]
2 years ago
8

Please help! 8th grade geometry! Thank you<3

Mathematics
2 answers:
ivolga24 [154]2 years ago
8 0

Answer:

Length of the hypotenuse - 10

Step-by-step explanation:

To find the hypotenuse, we need to use the Pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = c^2

c^2 = 100

c = 10

Shkiper50 [21]2 years ago
7 0
Haven’t did this in a long time 6 times 8
answer : 48 maybe that’s what they’re looking for .
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Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanatio
motikmotik

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

<em>Subtract 5b from both sides</em>

10a=4.2-5b

<em>Subtract 4.2 from both sides</em>

10a-4.2= -5b

<em>Multiply both sides by -1</em>

-10a+4.2=5b

8a+10b=5.4

<em>Subtract 10b from both sides</em>

8a=5.4-10b

<em>Subtract 5.4 from both sides</em>

8a-5.4= -10b

<em>Multiply both sides by -1</em>

-8a+5.4= 10b

<em>Divide both sides by 2</em>

-4a+2.7=5b

<u>Combine equations:</u>

-4a+2.7= -10a+4.2

<em>Add 10a to both sides</em>

6a+2.7=4.2

<em>Subtract 2.7 from both sides</em>

6a=1.5

<em>Divide both sides by 6</em>

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

<em>Subtract 10a from both sides</em>

5b= -10a+4.2

<em>Subtract 4.2 from both sides</em>

5b-4.2= -10a

<em>Multiply both sides by -1</em>

-5b+4.2=10a

8a+10b=5.4

<em>Subtract 8a from both sides</em>

10b= -8a+5.4

<em>Subtract 5.4 from both sides</em>

10b-5.4= -8a

<em>Divide both sides by 4</em>

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

<em>Multiply both sides by -1</em>

-12.5b+6.75=10a

<u>Combine equations:</u>

-12.5b+6.75= -5b+4.2

<em>Add 12.5b to both sides</em>

6.75=7.5b+4.2

<em>Subtract 4.2 from both sides</em>

2.55=7.5b

7.5b=2.55

<em>Divide both sides by 7.5</em>

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

3 0
3 years ago
A cylinder has a volume of 198 and base has an area of 22 what is the height o the cylinder
Mumz [18]

Answer:

Step-by-step explanation:

The base of the cylinder is in the shape of a circle:

Area of the base=\pi *r^2

For Base area=22 square units

22=\pi *r^2

      22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}

Volume of the cylinder=\pi *r^2*h

For volume '198 cubic units' the height(h) is:

       198=\pi *r^2*h

       198=3.14*(\sqrt{7.01})^2*h

         198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\

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I got 5.5 but I could for sure be wrong :/
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