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chubhunter [2.5K]

2 years ago

6

Use the distributive property to express 30 + 75

1 answer:

navik [9.2K]2 years ago

7 0

Distributive property is when we take a common factor of the terms in the sum and writing the sum as a product-sum instead

30 + 75 ⇒ The greatest common factor of 30 and 75 is 5

we know that 30 = 5 × 6 and 75 = 5 × 25

So, by taking the common factor '5' out, we can write 30 + 75 as 5(6 + 25)

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Answer: the answer is 3.6 mph

Step-by-step explanation: to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by 3.25

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2 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

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Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

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2 years ago

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2 years ago

What is the slope of y=-3x-2

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Answer:

slope = -3

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6 0

3 years ago

Read 2 more answers

A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?

Paha777 [63]

We can use two different ways to solve this equation:

Because the board is 25 off, we can multiply the price and subtract the result:

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We can also solve by multiplying the total price by 0.75

(1 - 0.25)(30) = 0.75(30) = $22.50

The sales price is $22.50

4 0

3 years ago

Read 2 more answers