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3 years ago

6

a construction worker has 15 feet of pipe he needs to divide the pipe into 9 equal parts which location on a number line represe

nts the number of feet in each section of pipe?

1 answer:

Maslowich3 years ago

7 0

SENT THE SOLUTION WITH DRAWINGS THE HELP.

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Does anyone know this?

Neko [114]

"c" is the hypotenuse of the largest triangle, and "a" is that triangle's shortest side. Thus the ratio is

... (longest side)/(shortest side)

Since all the triangles in the figure are similar, to complete the proportion, you need to recognize the triangle that "a" is the longest side of, then find the shortest side of that triangle.

"a" is the longest side (hypotenuse) of the smallest triangle. The shortest side of that triangle is "r". So, your proportion is ...

... c/a = a/r

The appropriate choice is the 2nd one, ...

... r

8 0

3 years ago

Explain why -4 is not a real number but -8 is two equations below of what they look like

Margarita [4]

-4 isn't a real number because there is no square root of -4. However, there is a cube root of -8, because -2 * -2 * -2 = -8.

7 0

3 years ago

The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?

pentagon [3]

Answer:

x= -2 and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

x=6, y= 10 is one point

x=-2 and y = -6 is the other point

5 0

3 years ago

Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

$q+3\leq 15...(1)$

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

$0.25q+3(0.10)\geq 2.85...(2)$

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

$q+3-3\leq 15-3$

$q\leq 12$

From 2nd inequality, we will get:

$0.25q+0.30\geq 2.85$

$0.25q+0.30-0.30\geq 2.85-0.30$

$0.25q\geq 2.55$

$\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}$

$q\geq 10.2$

Upon combining our both inequalities, we will get:

$10.2\leq q\leq 12$

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0

3 years ago

Please answer quickly!!!!

Natalka [10]

The volume of the rectangular prism can be found with the formula
v= length × width × height
V = 10×10×30 = 3000

the volume of the triangular prism can be found with
v = 1/2(base×width×height)
v=1/2×30×9×10 = 1/2×2700
v = 1350

Now add the two volumes together for the total volume...

3000+1350 = 4,350 in^3

5 0

3 years ago