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3 years ago

A car travels 180 miles in 3 hours. At the same rate of speed, how far will the car travel in h hours

Mathematics

1 answer:

Igoryamba3 years ago

6 0

Answer:

60h

Step-by-step explanation:

180/3: Divide 180 by 3 to get the rate of change.

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Find the area of the quadrilateral triangle with side 10cm. Help me yo

PilotLPTM [1.2K]

Answer:

The answer is 25√3cm²

3 0

3 years ago

Read 2 more answers

If tanA = 1/2 then evaluate cos A/sinA +sinA /1+cosA

Deffense [45]

Answer:

√5.

Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A = adjacent / hypotenuse = 2/√5.

and sin A = opposite / hypotenuse = 1 / √5

cos A / sin A = 2/√5 / 1/ √5 = 2.

sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)

= 1 / √5 ( (√5 + 2) /√5)

= 1 / (√5 + 2)

So the answer is:

2 + 1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

2 + 1 / (√5 + 2)

= 2(√5 + 2) + 1 / (√5 + 2 )

= { 2(√5 + 2) + 1 } / (√5 + 2)

Multiplying this by √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) / (5 -4)

= 2 + √5 - 2 / 1

= √5.

3 0

3 years ago

The elevation of the harbor is ____ than the elevation at sea level.

antoniya [11.8K]

Answer: less

Step-by-step explanation:

if when you say harbor you’re referring to were ships are docked im pretty it doesn’t get as elevated as the sea

7 0

3 years ago

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches. In two rolls, what is the

Katen [24]

Answer:

The area of the wall that she will paint in two rolls is 219.8 inches².

Step-by-step explanation:

Given:

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.

Now, to find the area of the wall that she will paint in two rolls.

So, we find the lateral surface area of roller.

Radius (r) = 1.75 inches.

Height (h) = 10 inches.

So, to get the lateral surface area we put formula:

$A_{L} =2\pi rh$

$A_L=2\times 3.14\times 1.75\times 10$

$A_L=109.9\ inches^2.$

Thus, the lateral surface area of the roller = 109.9 inches².

Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:

$109.9\times 2\\\\=219.8\ inches^2.$

Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².

3 0

3 years ago

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In the 2004 Olympics, Adam won a gold medal in the men's 500 m kayak race, with a time of 1 min and 37.9 sec. He also won the br

Sedbober [7]

Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be $\frac{500}{97.9}$ or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be $\frac{1000}{208.2}$ or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.

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3 years ago