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adoni [48]
3 years ago
6

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

(-2, 3)

Step-by-step explanation:

The point B is:

B(x,y)

x

AB(A to B) is twice BC(B to C)

AB is 2 - x. BC is x - (-4) = x + 4.

So

2 - x = 2(x + 4)

2 - x = 2x + 8

3x = -6

x = -2

y

Same logic as above.

AB is -5 - y. BC is y - 7.

-5 - y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y = 3

The point is (-2, 3).

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The Angle of depression from the top of the flagpole to an object on the ground it's 33° if the object is 60 feet from the base
N76 [4]

Answer:

The flag pole is 38.96 feet tall.

Step-by-step explanation:

The angle of depression from the top of the flagpole to an object on the ground is 33°.

The object is 60 feet from the base of the cliff.

We need to find the height of the flag pole.

Here, base, B = 60 feet

We know that,

\tan\theta=\dfrac{P}{B}

Put all the values to find P.

P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft

So, the flag pole is 38.96 feet tall.

6 0
2 years ago
The scatter plot shows the number of years of experience x and the hourly pay rate y for each of 25 cashiers in Ohio.
astra-53 [7]

Answer:

a) y= 0.95*7 +7.95 =14.6

b) y= 0.95*0 +7.95 =7.95

c) For this case we can use the slope from the linear model to answer this question, the 0.95 on this case represent the increase in the hourly pay rate per each year of experience, for example if we have one year of experience the pay rate increase 0.95. So then the answer for this case is 0.95.

Step-by-step explanation:

Assuming the following question: "The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 25 cashiers in Ohio. x represent the number of years of experience and y the hourly pay rate. The line adusted is:  y=0.95x+7.95, to answer the questions below. Give exact answers, not rounded approximations. "

(a) What is the predicted hourly pay rate for a cashier with 7 years of experience?

For this case we can use the lineal model given:

y = 0.95 x +7.95

And we can replace x =7 years and we got:

y= 0.95*7 +7.95 =14.6

(b) What is the predicted hourly pay rate for a cashier who doesn't have any experience?

For this case we just need to replace in the linear model x=0 since that means no experience and we got:

y= 0.95*0 +7.95 =7.95

(c) For an increase of one year of experience, what is the predicted increase in the hourly pay rate?"

For this case we can use the slope from the linear model to answer this question, the 0.95 on this case represent the increase in the hourly pay rate per each year of experience, for example if we have one year of experience the pay rate increase 0.95. So then the answer for this case is 0.95.

6 0
3 years ago
CEE
Aneli [31]

Looks like you have to attach a picture. It wont work, because all you did was copy it.

3 0
3 years ago
Do 8feet + 10feet + 12feet make a right triangle
bija089 [108]

9514 1404 393

Answer:

 no

Step-by-step explanation:

If triangle side lengths are an arithmetic sequence (have a common difference), they must have the ratios 3:4:5 to make a right triangle. Here, the ratios of the side lengths are 4:5:6, so will not be a right triangle.

4 0
3 years ago
When multiplying 4.73 by 2.1 how many decimal places will the product have
hichkok12 [17]

it would be 9.93300

so 3 decimal places because the zeros don't count


3 0
3 years ago
Read 2 more answers
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