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xenn [34]
1 year ago
12

11) A building casts a shadow of 100 feet. The angle of elevation from the end of the shadow to the top of the

Mathematics
1 answer:
svp [43]1 year ago
5 0

Answer:

≈ 27 ft

Step-by-step explanation:

using the tangent ratio in the right triangle formed by the building and the ground.

tan15° = \frac{opposite}{adjacent} = \frac{?}{100} ( multiply both sides by 100 )

100 × tan15° = ? , then

? ≈ 27 ft ( to the nearest whole number )

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The students in a college marching band are arranged in rows. The recursive rule f(n) = f(n − 1) + 8 and f(1) = 13 gives the num
anzhelika [568]

Answer:

There are 24 more trumpet players than clarinet players

Step-by-step explanation:

The given information are;

The recursive rule or the number of band members in a row is f(n) = f(n - 1) + 8

Where f(1) = 13

The members of the band players in row 1 = The clarinet players

The members of the band players in row 4 = The trumpet players

Therefore, the number of clarinet players = f(1) = 13

The number of band members in row 2, f(2)  = f(1) + 8 = 13 + 8 = 21

The number of band members in row 3, f(3)  = f(2) + 8 = 21 + 8 = 29

The number of band members in row 4, f(4)  = f(3) + 8 = 29 + 8 = 37

Therefore, given that the trumpet players are in row 4, the number of trumpet players = The number of band members in row 4 = 37 Trumpet players

The difference in the number of trumpet and clarinet = The number of more trumpet players than clarinet players = 37 - 13 = 24 more trumpet players than clarinet players

There are 24 more trumpet players than clarinet players.

3 0
3 years ago
person A buys 12 granola bars and 7 cups of yogurt for $15.50. person B buys six granola bars and 11 cups of yogurt for $11.50.
tino4ka555 [31]

50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50.

7 0
3 years ago
What is the common difference in the following arithmetic sequence?7,3,-1,-5
Natasha2012 [34]

Answer:

-4

Step-by-step explanation:

The common difference is found by subtracting the second term from a previous term

So...

3-7 would give the common difference = -4

-1-3 would give the common difference= -4

-5-1 would give the common difference= -4

5 0
3 years ago
Determine the intercepts of the line. <br><br> Y-intercept (___,___)<br> X-intercept (___,___)
fenix001 [56]

Answer:

(-10,0) is the X intercept

(0,-45) is the Y intercept

Step-by-step explanation:

The x intercept is where it meets on the x axis, the y intercept is where it intercepts on the y axis

7 0
3 years ago
Please help!
bulgar [2K]
Let us assume the total amount of meal charge paid by Michael without tax = x
Then
Amount paid to the waiter by Michael = 15x/100
Sales tax paid by Michael = 5x/100
Now we get the equation as
x + (5x/100) + (15x/100) = 18
(100x + 5x + 15x)/100 = 18
120x/100 = 18
120x = 1800
x = 1800/120
   = 180/12
   = 15 dollars
So the amount paid by Michael for the meal before tax and tip is $15. I hope the procedure is clear enough for you to understand.
6 0
3 years ago
Read 2 more answers
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