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kotykmax [81]
3 years ago
6

The flagpole in front of VHS 50 feet tall. The angle of elevation from the end of its shadow to the top of the flagpole is 46°.

what is the length of the shadow? Round your answer to the nearest foot
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

The length of the shadow is 48.28 feet.

Step-by-step explanation:

The flagpole at its shadow form a 46, 44, 90 triangle.

Let AB be the flagpole.  AC is the shadow.

Let's use the sine law to calculate AC.

\frac{AC}{sin(44)}=\frac{50}{sin(46)}\\AC=\sin(44)*\frac{50}{sin(46)}AC=48.28

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Kazeer [188]

Answer:

  21 kWh

Step-by-step explanation:

1. Subtract 25% from the original amount.

  25% of 28 kWh is ...

  0.25 × 28 kWh = 7.00 kWh

Subtracting this from 28 kWh, we find the usage after reduction to be ...

  28 kWh - 7 kWh = 21 kWh

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2. We know that if we reduce 100% of a quantity by 25%, then the resulting amount is (100 -25)% = 75% of the original. As a fraction, this is 75/100 = 3/4 of the original amount. Then the reduced usage is ...

  (3/4) × (28 kWh) = 3·(7·4)/4 kWh = 3·7 kWh = 21 kWh

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Mario must reduce his usage to 21 kWh or less.

7 0
3 years ago
Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)
dolphi86 [110]

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

Since the product of their slope is -1, hence AB and CD are perpendicular

5 0
3 years ago
Johan ran 36.25 miles in 5 hours. How many miles did he run every hour?
stira [4]
Johan ran 7.25 miles every hour for 5 hours
8 0
3 years ago
A line is parallel to y = 2x – 8 and
Naya [18.7K]

Answer:

y=2x+7

Step-by-step explanation:

When an equation is parallel to another, it shares the same slope.

Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)

This means that our slope is 2 because m represents the slope.

The slope of our parallel line will then also be 2.

<u>We can begin to plug that into point-slope form which is:</u>

y - y1 = m(x - x1)

This is where (x1, y1) is a point the line intersects, and m is the slope.

<u>Plugging in the slope, we'll have:</u>

y - y1 = 2(x - x1)

We also know it intersects the point (-4, -1)

We can plug this into our equation as well.

y - (-1) = m(x - (-4))

y+1=2(x+4)

<u>Now, we can simplify it into slope-intercept form:</u>

y+1=2(x+4)

Distribute

y+1=2x+8

Subtract 1 from both sides

y=2x+8-1

y=2x+7

5 0
3 years ago
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Elizabeth is going to roll a fair 6-sided die 600 times. Complete the following statement with the best prediction. Elizabeth wi
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Answer:

Close to 300 but not exaclty 300.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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