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mezya [45]
3 years ago
6

you are a plumber installing a pipe the ratio of the outside diameter to the inside diameter is 1.5 to 1. you use a pipe with a

0.5 inch inside diameter what is the smallest diameter that you will need to drill to allow the pipes to pass through the wall
Mathematics
1 answer:
yanalaym [24]3 years ago
7 0
Since the outside is 1.5 to 1, we take half of the value of the inside diameter and add it to itself to get the smallest value needed. 0.5+0.25=0.75

So the smallest diameter possible would be 0.75 inches.
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QUESTION 3
eduard

Athe answer is -2  because it is behind the 0 and will be negative and it is two lines away from the 0 so the answer is -2

3 0
3 years ago
Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary
k0ka [10]
Hello,

very simple they intercept supplementary arcs. (making a sum of 360°/2 for inscribed angles )
4 0
3 years ago
I don’t know how to make a rule:(
Yuri [45]

Answer:

*assuming you know the concept of proportionality*

since L is directly proportional to T, an increase in L will result in an increase in T

so the solution of the first part is increases

in part 2, y is inversely proportional to x

which means that an increase in y will result in a decrease in x and vice-versa

So the answer of the second part is decreases

in part 3, since x is directly proportional to y, an increase in x will result in an increase in y

8 0
3 years ago
Please help i put a picture below
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

5 0
3 years ago
1. Choose the correct simplification of the expression −5x2(4x − 6x2 − 3).
nlexa [21]
1) <span>30x4 − 20x3 + 15x2

This is the answer to 1. Don't forget to rearrange the terms in ascending order. That can trip people up. 

2) </span><span>x3 + 8x2 + 13

Don't forget to check the terms sign. The subtraction symbol switches them all. </span>
6 0
3 years ago
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