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3 years ago

A certain flagpole that is 298 feet tall casts a shadow 139 feet long. Find the angle of elevation on the sun.

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Answer:

57.6159 round if needed

Step-by-step explanation:

We know the length of the triangle which is 298. We know the base of the triangle which is 189.

We need to find angle of elevation so we must use tangent function.

$\tan(x) = \frac{298}{189}$

Use inverse tan function

$\tan {}^{ - 1} ( \frac{298}{189} ) = 57.6159$

Round if needed.

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A number times 45 decreased by 12 is no more than 117

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Answer: n*4512 is less than or equal to 117

Step-by-step explanation: n=number N*45=X X=Number more than 117. X decreased by 12 is less than or equal to 117.

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3 years ago

Which of the following expressions is equal to P/17

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Answer:

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3 years ago

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each

stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0

3 years ago

AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

VMariaS [17]

Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

6 0

2 years ago