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Radda [10]
3 years ago
11

10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

The parasailor height is 47ft

Step-by-step explanation:

We can think of the problem as a right triangle, the string would be the hypotenuse and the height of the parasailor would be a leg.

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 36°

a: adjacent

o: opposite  = ?

h: hypotenuse  = 80ft

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

is the sine

sin α = o/h

sin 36° = o/80

sin 36° * 80 = o

47.02 = o

if we round to the nearest tenth

47.02 = 47.0

The parasailor height is 47ft

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A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
Sunny_sXe [5.5K]

Answer:

\frac{27}{8}m^3 or 3.375m^3

Step-by-step explanation:

The formula for volume is Base * Height * Width; and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

13.5 m/6 = 2.25 or \frac{9}{4} m per wall

With the area of each wall you can find the base and height:

base * height =  area

b=\sqrt{\frac{9}{4} } = \frac{3}{2}

base = \frac{3}{2}m

height = \frac{3}{2}m

since: base=height=width, the width also equals \frac{3}{2}m

volume = (\frac{3}{2})^3= \frac{27}{8}

sorry it took so long for you to get an answer

8 0
3 years ago
Which table of ordered pairs represents a proportional relationship?<br> plss help!
kvv77 [185]
The second graph because 2x5=10, 4x5=20, 6x5=30!
4 0
3 years ago
Which expression is equivalent to 3 to the 2 power multiplied by 3 to the −5 power
Agata [3.3K]
1/27 is the awnser i think
5 0
3 years ago
Read 2 more answers
Subtract:<br> (-9z-7) – 11z
umka2103 [35]

Answer: -20z-7

Step-by-step explanation:

(-9z-7) – 11z

−9z−7−11z

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-20z-7

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3 0
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Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
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