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kvv77 [185]
3 years ago
11

15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 p

er year. The value () of his sister's car x years after 2005 is given by
the function V(x) = 250x + 4,000. Which statement correctly compares the values of the cars from 2005 until 2017?

Mathematics
1 answer:
nignag [31]3 years ago
5 0

Answer:

C

Step-by-step explanation:

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What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and an
Amiraneli [1.4K]

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

cosine=\frac{adjacent}{hypotenuse}

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

cos75=\frac{10}{x}

Now isolate the variable. Multiply both sides by x:

x(cos75)=x(\frac{10}{x} )

The x's on the right side cancel each other out. Simplify:

x*cos75=10

Now divide both sides by cos75°:

\frac{x*cos75}{cos75} =\frac{10}{cos75}

The cos75° on the left side cancels each other. Simplify:

x=\frac{10}{cos75}

Insert this value into a calculator to simplify the value of x:

x=38.6

The hypotenuse is 38.6 m.

:Done

3 0
3 years ago
Crafter’s Warehouse sells 5 yards of solid color fleece for $8.58. They sell 16 feet of patterned fleece for $11.00. Which fleec
scoundrel [369]

Answer:

6 yards = 18 feet

16.49/18=$0.92 per fleece

15.40/16=$0.96 per fleece

Crafter's warehouse is better the price is less per feet of fleece

Step-by-step explanation:

3 0
2 years ago
Which two lines must be parallel in the diagram?
djverab [1.8K]

Answer: j || k

Step-by-step explanation:

only j and k are explicitly shown to be 90 degrees, so they must be parallel since they have the same angle when intersected by line <em>l.</em>

8 0
3 years ago
Need to find the direction angle for each vector. #10 and #12 please!
crimeas [40]

Answer:

10)  - 45 degrees

12)  0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component:  4 - 8 = -4

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4}  = -1\\\theta = -45^o

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component:  - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3}  = 0\\\theta = 0^o

5 0
3 years ago
Angle P is an acute angle.
TEA [102]
A acute angle is always less than 90 degrees. So the answer is A. 
6 0
3 years ago
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