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3 years ago

On a number line suppose point E has a coordinate of -2 and EG =10 what are the possible coordinates of point G ?

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

| E - G | = EG

| -2 - G | = 10

-2 - G = 10 -2 - G = -10

- G = 12 - G = -8

G = -12 G = 8

Answer: -12 or 8

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

8 0

3 years ago

Read 2 more answers

A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover

padilas [110]

Answer:

Option (3)

Step-by-step explanation:

Area of a circle is given by the formula,

Area = πr²

Here, r = radius of the circle

Since, radius of the circular trampoline = 8 feet

Area of the cover required for the circular trampoline = π(8)²

= 64π square feet

Therefore, Option (3) will be the answer.

3 0

3 years ago

HELP ME PLEASE !!!!!!!!

lord [1]

Answer:

B and D

Step-by-step explanation:

A is false as it would be 3.08 when rounded.

C is false as it is rounded to the tenth not hundredth.

5 0

4 years ago

Read 2 more answers

Brainest for best answer only 5 mins left show your work

Kamila [148]

Answer:

Step-by-step explanation:

Problem One

Perimeter is in meters not square meters. The equation is

2*(6.8+x) + 2*12.5= 47 Remove the brackets. Combine like terms

13.6 + 2x + 25 = 47

38.6 + 2x = 47 Subtract 38.5 from both sides

2x = 47 - 38.6

2x = 8.4 Divide by 2

x = 4.2

Answer D

Problem 2

This problem is asking that you calculate the perimeter of a swimming pool.

The two semicircles on the ends make a whole circle.

The diameter of the semicircles is obtained from the difference of the two given lengths.

The rectangle has a length of 12. The length of the rectangle and the 2 semicircles is 16. The difference is 4. You could divide this by 2 to get the radius. I would just leave it as the diameter.

So the perimeter is pi*d + 2 * 12 [there are 2 lengths]

Perimeter = 4*pi + 24

Perimeter = 12.56 + 24

Perimeter = 36.56

Answer A

Problem 3

This is the circle inside the square.

The radius of the circle = 9

The diameter of the circle and the length of square's side = 2*9 = 18

The area of the square = s^2 where s = 18

The area of the square = 18^2 = 324

The area of the circle = pi * 9^2 = 3.24 * 81 = 251.34

The area of the Shaded area = 324 - 251.34 = 69.66

Answer C

Problem 4

b1 = 5

b2 = 11.5

h = 4.5

Formula

Area = (b1 + b2 ) * 4.5/2

Area = (5 + 11.5) * 4.5 /2

Area = 16.5 * 4.5 / 2

Area = 74.25/2

Area = 37.125

Answer D

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3 years ago

-5/32a ÷ 7/20a reduce to the lowest terms

Virty [35]

The answer is -25/56

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3 years ago