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2 years ago

A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway

Mathematics

1 answer:

natali 33 [55]2 years ago

7 0

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

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How to find slope intercept form when slope equals 3 over 4 passing through 8, 2

IgorC [24]

Answer:

The slope intercept form would be y = 3/4x - 4

Step-by-step explanation:

To find the slope intercept form of this line, we start with using our given information in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 2 = 3/4(x - 8)

y - 2 = 3/4x - 6

y = 3/4x - 4

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3 years ago

Ema ate 6 slices of pizza. She ate 3/4 of a entire pizza. How many slices of pizza were there in all?

Taya2010 [7]

Divide 6 by $\frac{3}{4}$

$\frac{6}{1}$ ÷ $\frac{3}{4}$

Change $\frac{3}{4}$ to a reciprocal

$\frac{6}{1}$ × $\frac{4}{3}$ = $\frac{24}{3}$

Simplify and your answer is 8

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3 years ago

An aquarium is to be drained. The aquarium is shaped like a rectangular prism with length 33 in , width 26 in , and height 12 in

artcher [175]

Answer:

To empty the aquarium it takes 26 minutes

Step-by-step explanation:

step 1

Find the volume of the aquarium

The volume of rectangular prism is

$V=LWH$

we have

$L=33\ in\\W=26\ in\\H=12\ in$

substitute the given values

$V=(33)(26)(12)=10,296\ in^3$

step 2

Divide the volume by the rate of 396 in^3 per minute

$10,296/(396)=26\ minutes$

therefore

To empty the aquarium it takes 26 minutes

3 0

3 years ago

If point C (3, 8) is reflected over the y axis what would be point C'?<br>no links please

olga2289 [7]

Answer:

(-3,8)

Step-by-step explanation:

When reflecting over the y-axis, you are switching from positive to negative x-values. Since 3 was already positive, we change the integer and in this case, to negative, so it becomes -3. Since the y value remains the same we don’t change the 8. So (-3,8)

I hope this helps!

Please give thanks or brainliest if this helps!

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3 years ago

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A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone is what shape?

Vilka [71]

It's an isosceles triangle. The best way to solve these problems is to just visualize the cross section. If you just think about it, it makes sense.

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3 years ago

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