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Svetradugi [14.3K]
3 years ago
7

If UV=5x, VW = 8x - 17, and UW = 11x+11, what is UW

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0

Answer:

UW=165

Step-by-step explanation:

UV + VW =UW

5x + 8x-17= 11x +11

13x - 17 = 11x + 11

Subtract 11x and add 17 to both sides:

2x= 28

Divide 2 both sides:

x=14

Plug in x to the equation of UW:

11 (14) +11

165

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Please help me, if you help then thanks!
vredina [299]

The formula for volume always involves three dimensions.  

In this case, the volume of a cube is V=s^3, where s is the side length of the cube.

To solve for that side length, you'd need to use a cube root.

8 0
3 years ago
At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the
Dmitry [639]

Answer:

2.5\ m/s^2

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

Force(F)=Mass(m)\times Acceleration(a)

Initially:

Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m

At the end of the road:

Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma

Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2

8 0
3 years ago
Revenue is 3,000,cost of goods is 1,500, selling expense is 500 what is the prophit?
tia_tia [17]
In this situation the revenue is the total sales you make before all expenses.
To find the profit: 3000 - 1500 - 500 = 1000.
Your profit is $1,000.
4 0
3 years ago
Read 2 more answers
Please help me answer all parts of question 3 in the photo.
Nookie1986 [14]
(i.) CA = πrl
CA = π (5*13)
CA = 65π

(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π

(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12

(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π


5 0
3 years ago
Three planets are in line and are orbiting round a sun, one take 1 week to orbit the sun another takes 9 weeks and the other tak
patriot [66]

Answer:

27 weeks.

Step-by-step explanation:

You need to calculate the minimun common multiple between the three times.

1 week = 1^1 week

9 weeks = 3^2 weeks

27 weeks = 3^3 weeks

You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.

7 0
3 years ago
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