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Sunny_sXe [5.5K]
3 years ago
7

• Trey attended a New Year's Eve event and watched a ball drop at midnight. Prior

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

x=60.9°

Step-by-step explanation:

Given that the height of ball from the ground is 150ft

The base of the pole with the ball is 80 ft from where Trey is standing

Trey's horizontal line of sight is 6 feet above ground, then;

The height of ball from Trey's horizontal line of sight is;

150ft-6ft = 144ft

To find the angle x, assume a triangle with a base of 80 ft , a height of 144 ft and a slant height that represent the line of sight at an angle x

To get angle x , you apply the tangent of an angle formula where;

tan Ф°= length of opposite site of the angle/length of the adjacent side of the angle

tan x°= 144/80

tan x°=  1.8

x°= tan⁻(1.8)

x°=60.9°

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Find the measure of z
IRISSAK [1]

Answer:

z=55

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

80 + 2z-10 = 180

Combine line terms

70 +2z = 180

Subtract 70 from each side

70-70 +2z= 180 -70

2z = 110

Divide by 2

2z/2 = 110/2

z = 55

5 0
3 years ago
Read 2 more answers
Can someone please explain how to solve it ?? ​
Alik [6]

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

4 \times 2

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

3 \times 2

add both equations and you get

(4 \times 2) + (3 \times 2)

The answer is 14cm! Don't forget to label. ;)

8 0
3 years ago
Dana needs 300 pickets for her colorful picket fence. She wants equal amounts of each of her 4 selected colors. She already has
Pavlova-9 [17]

Dana would need 75 pickets of each color to have an equal amount.

75x4=300

She would need 43 more red pickets to equal 75. (32+43=75)

49 more green pickets to equal 75 (26+49=75)

66 more yellow pickets to equal 75 (9+66=75)

75 blue pickets to equal 75. (0+75=75)

7 0
3 years ago
Read 2 more answers
A ball is thrown from ground level straight up into the air at an intitial velocity of 54 feet per second. The height of the bal
bonufazy [111]

Answer:

3 3/8 seconds.

Step-by-step explanation:

When it reaches the ground h = 0 so:

54t - 16t^2 = 0

16t^2 - 54t = 0

2t(8t - 27) = 0

t = 0 or t =  27/8   (we ignore the t = 0 ) so:

t =   3 3/8 seconds.

3 0
2 years ago
Problem<br> 1<br> + 10x + 13 = 4
lutik1710 [3]

Answer:

x = -1

Step-by-step explanation:

Equation: 1+10x+13=4

Step 1: Balance both parts of the equation.

1+10x+13=4

(10x)+(1+13)=4

10x+14=4

10x+14=4

Step 2: Reduce 14 from both parts of the equation.

10x+14-14=4-14

10x= -10

Step 3: Split both sides by 10, because \mathrn {10x = -10}.

\frac{10x}{10} = \frac{-10}{10}

10 / -10 = -1

Therefore, x = -1.

6 0
3 years ago
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