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3 years ago

8. A truck drives down a 25-meter decline. The angle of depression of the decline is

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

8.96 ft

Step-by-step explanation:

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Quadrilateral ABCD is similar to quadrilateral EFGH. What is the length of<br> segment BC?

prohojiy [21]

So Basically, these are similar. So that means that (2x/5.5)=(3x-3/7.5). Then when you cross multiply, you find that x=11. So that means BA/FE=22/5.5=4. You can verify by checking (3*11-3)/7.4=4. So now that you know the scale factor is 4, just do 4*8=32.

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3 years ago

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Pls solve question 4b. Verrry urgent . Ok tyy

kodGreya [7K]

Answer:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

Step-by-step explanation:

Given equation:

$y = 3x^2 - 9x + 17$

Factor out 3 from the first 2 terms:

$y = 3(x^2 - 3x) + 17$

Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4

Add this inside the parentheses and subtract the distributed value of it outside the parentheses:

$y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}$

Factor the parentheses and combine the constants:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

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1 year ago

A student has a savings account earning 3% simple interest. She must pay $1200 for first-semester tuition by September 1 and $12

Bingel [31]

Using simple interest, it is found that she needs to earn $2,391.07 during the summer.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:

A(0.25) = 1200, t = 0.25, r = 0.03.

Hence we have to solve for A(0):

A(0)(1 + 0.03 x 0.25) = 1200

A(0) = 1200/(1 + 0.03 x 0.25)

A(0) = $1,191.07.

She also needs to earn $1,200 to pay the first-semester bill on time, hence:

1200 + 1191.07 = $2,391.07.

She needs to earn $2,391.07 during the summer.

More can be learned about simple interest at brainly.com/question/16646150

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1 year ago

How many solutions does 4x+5=10

11Alexandr11 [23.1K]

Hello there!

Before we answer the question, we must solve the equation first.

4x + 5 = 10

4x = 10 - 5

4x = 5

x = 5/4

Therefore,

The equation has one solution!

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2 years ago

Over a period of 12 hours, the temperature dropped 60 degrees. What was the average change in temperature in one hour?

dybincka [34]

The change in temperature for 1 hour would be -5. hope this helps.

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2 years ago

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