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makvit [3.9K]
3 years ago
14

-6(1 + 2v) – 7(v + 1) = -13

Mathematics
1 answer:
docker41 [41]3 years ago
6 0
The answer is V=0.3157=0.32
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Draw an angle in standard position whose terminal side contains the point
kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

Hypotenuse^2 = (7)^2+(-6)^2

Hypotenuse^2=49+36\\Hypotenuse^2=85

Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0
3 years ago
Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5
Galina-37 [17]

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

  • width = 2.5 yd
  • length = 6 yd

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

  • cost of fence = $2.25 per foot

⇒ total cost = 17 x 2.25

                    = $38.25

7 0
2 years ago
Read 2 more answers
Please help quickly
Crank

Answer:25 m

Step-by-step explanation:

3 0
3 years ago
A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is the volume of the room?
KonstantinChe [14]
The formula for volume is width * height * length or w*h*l. to do this problem you have to do 8*6*10 which is 480. so, the volume of the room is 480 ft^3 (cubed).
7 0
2 years ago
Simplify by combining like terms: 15x +2 - 7 - 5x​
Step2247 [10]

Answer:

10x-5

Step-by-step explanation:

You subtract 15x-5=10x. Then you do -7+2. The 7 is negative . So it would be -7 plus two. So it would equal -5. So it's 10x-5

5 0
3 years ago
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