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Romashka [77]
3 years ago
6

The picture below shows a box sliding down a ramp:

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0

Answer:

AC=15.1\ ft

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

so

sin(68\°)=\frac{AB}{AC}

substitute the values and solve for AC

sin(68\°)=\frac{14}{AC}

AC=\frac{14}{sin(68\°)}

AC=15.1\ ft

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Which graph represents the function y = 2x – 4? A coordinate plane with a line passing through (negative 4, 0) and (0, 2). A coo
VARVARA [1.3K]

Answer:

The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."

Step-by-step explanation:

Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.

For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.

For (0,-4):  y = 2x - 4 becomes:

(-4)=2(0)-4\\-4=0-4\\-4=-4 which is a TRUE statement

For (2,0):  y = 2x - 4 becomes:

(0)=2(2)-4\\0=4-4\\0=0 which is also a TRUE statement.

This option is the only one that verifies both given points as truly being part of the given line.

8 0
3 years ago
Read 2 more answers
a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did th
Zinaida [17]

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × \frac{9\pi }{8}

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft

4 0
3 years ago
How can tell if a table values is proportional
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Answer:

You can

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them.

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