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Rama09 [41]
3 years ago
5

Which of the follong is the process of finding the factors of mathematical expression 2d²-8d​

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

2d(d - 4)

Step-by-step explanation:

Given

2d² - 8d ← factor out the common factor of 2d from each term

= 2d(d - 4) ← in factored form

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Each morning, Zack leaves his house at 6:35 A.M. It takes Zack 10 minutes to walk to the bus stop. Zack rides the bus for 30 min
skad [1K]
Zack will arrive at his office at 7:25 A.M.
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3 years ago
A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below
Serga [27]

Applying the sine ratio and law of sines, the correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft.

<h3>What is the Sine Ratio?</h3>

Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.

Find c using the law of sines:

C = 33°

A = 180 - 48 = 132 [linear pair]

B = 180 - 33 - 132 = 15° [triangle sum theorem]

b = 20 ft

c = ?

Using the law of sines, b/sin B = c/sin C, we have:

20/sin 15 = c/sin 33

(c)(sin 15) = (20)(sin 33)

c = (20 × sin 33)/sin 15

c ≈ 42.09

Use the sine ratio to find h:

∅ = 48°

Hypotenuse = c = 42.09

Opposite = h = ?

sin 48 = h/42.09

h = (sin 48)(42.09)

h ≈ 31.28

The correct measurements are:

B. m∠B = 15°

E. h ≈ 31.28 ft

Learn more about the sine ratio on:

brainly.com/question/2920412

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4 0
2 years ago
A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. If the interest received
marin [14]

Answer: $31000 was loaned at 13%.

Step-by-step explanation:

Let x represent the amount loaned out at 13% interest rate.

Let y represent the amount loaned out at 5% interest rate.

The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that

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The interest received made from $x in one year is

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The interest received made from $y in one year is

5/100 × x = 0.05y

If the interest received was $5880, it means that

0.13x + 0.05y = 5880- - - - - - - - - 1

Substituting x = 68000 - y into equation 1, it becomes

0.13(68000 - y) + 0.05y = 5880

8840 - 0.13y + 0.05y = 5880

- 0.13y + 0.05y = 5880 - 8840

- 0.08y = - 2960

y = - 2960/- 0.08

y = 37000

x = 68000 - y = 68000 - 37000

x = $31000

5 0
3 years ago
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sergiy2304 [10]

Answer:

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Step-by-step explanation:

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If 1/2 gallon of paints cover 1/4 of a wall,then how much paint is needed to cover the entire wall?
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