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3 years ago

15

The diagonal of the floor of a square room is 6 meters.what is the length of a side of the room? round to the nearest tenth.

1 answer:

shutvik [7]3 years ago

4 0

Side of the room = x.
From the right triangle, where sides of the square are legs of the right triangle, and the diagonal of the square is a hypotenuse of the right triangle.
x²+x²=6²
2x²=36
x²=18
x=√18 =√(2*9)=3√2≈4.2m

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A circle has the equation x2 + (y−7)2 = 121. What is the length of the diameter of the circle?

Reika [66]

Answer:

22

Step-by-step explanation:

The standard form for an equation of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius of the circle. Therefore, the radius of this circle squared is 121, meaning that the radius of the circle is 11. Since the diameter of a circle is twice the radius, the radius of this circle is 22. Hope this helps!

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3 years ago

4. Two points on a line are (-10, 1) and (5, -5). If

Vsevolod [243]

Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$(-10,1),(5,-5)$

substitute in the formula

$m=\frac{-5-1}{5+10}$

$m=\frac{-6}{15}$

Simplify

$m=-\frac{2}{5}$

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

so

Find the slope between the points

$(x,-3),(5,-5)$

Remember that

$m=-\frac{2}{5}$

substitute in the formula

$-\frac{2}{5}=\frac{-5+3}{5-x}$

$-\frac{2}{5}=-\frac{2}{5-x}$

the denominators must be the same

$5=5-x$

$x=0$

therefore

The x-coordinate of another point is zero

3 0

2 years ago

Find the slope of the following 2 points (2,-5), (9,3)

Rama09 [41]

Answer:

8/7

Step-by-step explanation:

(2,-5) (9,3)

3-(-5)=8 because you apply your keep change change

9-2= 7

so 8/7

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3 years ago

Can you walk me through on how to do this

denpristay [2]

Answer:

h=v/πr²

Step-by-step explanation:

v=πr²h

v/π=r²h

v/πr²=h

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3 years ago

What is 4*6 i need help

vlabodo [156]

Answer:

24

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers