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katen-ka-za [31]
3 years ago
5

Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If t

he surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?
Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

Total percent of the room did she paint green = 60%

Step-by-step explanation:

Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.

To find - What percent of the room did she paint green ?

Proof -

Given that,

The surface area of the walls in her room = 720 ft²

Total area painted in yellow color = 288 ft²

So,

Total area painted in green color would be = 720 - 288 = 432 ft²

Now,

Let the total percent green color painted = x

So,

720 × x% = 432

⇒720*\frac{x}{100}  = 432

⇒ x = \frac{432*100}{720} = 60

∴ we get

Total percent of the room did she paint green = 60%

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3 years ago
For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.
Contact [7]

The expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's  speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

\rm Distance = Speed \times Time

For the first part of the journey:

Distance = 80 miles

Time = \rm t_1

And Speed = s

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = \rm t_2

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}

Therefore,

Adding both the time to represent the total time of her trip in hours,

\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}

Hence, The required expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

For more details refer to the link given below.

brainly.com/question/21043759

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

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Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

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step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

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step 3

Find the measure of angle A

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The measure of interior angles in a triangle must be equal to 180 degrees

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∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

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B=61.1\°

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substitute

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