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guajiro [1.7K]
3 years ago
11

how many gallons of paint are needed for the outside walls of a building 26 ft high by 42 ft by 28 ft if they are 480 square fee

t. Of windows ? One gallon covers 400sq feet
Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

The answer is 7.9 gallons of paint.

Step-by-step explanation:

According to the measurements of the building, it has two sides that have an area of 28x 26 = 728 square feet and two sides that have an area of 42 x 26 = 1092 square feet. Which means the total area of the building is (1092 + 728 ) x 2 = 3640 square feet. If 480 square feet of this area is windows, then the area to be painted is a total of 3160 square feet. If one gallon of paint covers 480 square feet, then the total amount of paint that is needed is 3160 / 400 = 7.9 gallons.

I hope this answer helps.

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Answer:

Step-by-step explanation:

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Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

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5 0
2 years ago
Someone please help me with this lol… have no idea what I’m doing
Sholpan [36]

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

\sin \theta

Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

\sin^2\theta +\cos^2\theta =1

\sin^2\theta=1-\cos^2\theta

\sin \theta=\pm \sqrt{1-\cos^2\theta}

It is only negative because \theta lies in Quadrant IV. So,

\sin \theta=-\sqrt{1-\cos^2\theta}

After substituting \cos \theta =\dfrac{3}{5}, we get

\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}

\sin \theta=-\sqrt{1-\dfrac{9}{25}}

\sin \theta=-\sqrt{\dfrac{25-9}{25}}

\sin \theta=-\sqrt{\dfrac{16}{25}}

\sin \theta=-\dfrac{4}{5}

Therefore, the correct option is B.

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