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kolezko [41]
4 years ago
13

The decimal equivalent of 5/8 is

Mathematics
1 answer:
storchak [24]4 years ago
3 0
.625 is your answer hope you have a nice day


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Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘.
stiv31 [10]

Answer:

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.  

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.  

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(10^{\circ})=\frac{120}{x}

x=\frac{120}{\text{tan}(10^{\circ})}

x=\frac{120}{0.176326980708}

x=680.5538183559

Upon rounding to nearest foot, we will get:

x\approx 681

Therefore, the campsite is 681 feet away from the base of the cliff.

4 0
3 years ago
which relation is a function? a. x −2 0 0 2 4 y 4 3 4 4 6 b. x 3 5 7 10 14 y 9 6 9 2 3 c. x −3 2 2 4 6 y 2 1 8 5 3 d. x −6 −1 1
Travka [436]
Option a is not a function because for x = 0, y = 3 and 4.
option b is a function.
option c is not a function because for x = 2, y = 1 and 8.
option d is not a function because for x = 1, y = -3 and 4


6 0
3 years ago
Read 2 more answers
joe runs 8.75 times around a track in 1,125.803 seconds. If one lap around the track is 420.3 meters, which is the best estimate
nikklg [1K]
8.75 x 420.3 = 3677.625 m
3677.625/1125.803 = 3.266668 ft/sec
7 0
4 years ago
Equivalent fraction of 12/16​
lana [24]
An equivalent fraction for 12/16 is 3/4 which is the simplest form but you another one would be 6/8
7 0
3 years ago
Read 2 more answers
HELP PLEASE VERY QUICK, I'LL MARK AS BRAINLIEST!
DENIUS [597]

Answer:

Greater ; Greater

Smaller ; Greater

Step-by-step explanation:

Slopes

First row

A: 15/2

B: (25-12.5)/(4-2) = 12.5/2

A has a greater slope than B

-4x + 2y = 8

2y = 4x + 8

y = 2x + 4

A: 2

B: 3/2

A has a greater slope than B

Second Row

A: (2.6-2)/(3-0) = 0.6/3 = 0.1

B: (5-4)/(4-0) = 1/4 = 0.25

A has a smaller slope than B

A: 60

B: (325-50)/5-0) = 275/5 = 55

A has a greater slope than B

4 0
3 years ago
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