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timurjin [86]
3 years ago
5

A builder makes drainpipes that drop 1cm over a horizontal distance of 30cm to prevent clogs. A certain drainpipe needs to cover

a horizontal distance of 700cm.
What is length L of this drainpipe?
Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

700.39cm

Step-by-step explanation:

For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope

Using the concept of cross multiplication

30cm=1 cm drop

700 cm=x

30x=700

X=700/30=70/3=23 ⅓

Utilizing pythagoras theorem, the length of pipe will be

L=√(23⅓)²+700²

L=700.38878092417 cm

Rounded off, the length is approximately 700.39 cm

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What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
Read 2 more answers
Please help ASAP thank you so much
blagie [28]
Answer : 6

I am pretty confident that this is the answer. all you have to do is count the points from point a to b.
6 0
2 years ago
Read 2 more answers
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