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3 years ago

How to solve for a, b,

Mathematics

1 answer:

professor190 [17]3 years ago

3 0

It looks like the length of a and b should be the same. You can use the Pythagorean theorem (only works with right triangles):

a² + b² = c² (c is the hypotenuse or the longest side of the triangle, a and b are the other side lengths of the triangle)

a² + (4)² = (5)²

a² + 16 = 25

a² = 9

a = 3

a and b have a length of 3

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The length of a rectangle is twice as long as the width. The area is 400 feet. Find the length and with of the rectangle.

stich3 [128]

Answer:

A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200= $W^{2}$ , $\sqrt{200\\$ = W, L=2( $\sqrt{200\\$ ) and W= $\sqrt{200\\$ , W=14.14 and L=28.28

Step-by-step explanation:

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3 years ago

5) What is the name of a triangle with only 2 equal sides?

Dmitriy789 [7]

Answer:

isosceles triangle

Step-by-step explanation:

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

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3 years ago

Read 2 more answers

P varies directly with the square of R. When R is 4, P is 56. Find the value of P when R is 6

Sav [38]

Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!

6 0

3 years ago

Help pls will choose brainliest

Cerrena [4.2K]

Answer: B

Step-by-step explanation:

$||\overrightarrow{u}||=\sqrt{5^2+(-12)^2} =13\\\\||c\overrightarrow{u}||=|c|*||\overrightarrow{u}||=3*13=39\\\\\\answer\ B$

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3 years ago

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Tobys office had already recycled 7 kilograms this year before starting the new recycling plan, and the new plan will have the o

iren [92.7K]

Answer:

32 weeks.

Step-by-step explanation:

Let w represent number of weeks.

We have been given that the new plan will have the office recycling 1 kilogram of paper each week. So kilograms of paper recycled in w weeks would be $1\cdot w=w$ .

We are also told that Toby's office had already recycled 7 kilograms. So total kilogram of paper recycled in w weeks would be $w+7$ .

Since Toby's office has to recycle a total of 39 kilograms of paper, so we will equate 39 with paper recycled in w weeks as:

$w+7=39$

$w+7-7=39-7$

$w=32$

Therefore, it will take 32 weeks for Toby's office to recycle a total of 39 kilograms of paper.

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3 years ago