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Svetllana [295]
3 years ago
13

The sun’s rays are striking the ground at a 55° angle, and the length of the shadow of a tree is 56 feet. How tall is the tree?

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
Tan 55 = h / 56  where h = height of the tree.
h = 56 tan 55
   =  79.98 feet

Its a
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
atroni [7]

Answer:

14.97

Step-by-step explanation:

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3 years ago
Point S is on line segment RT. Given RS = 4x – 10, ST = 2x – 10, and
borishaifa [10]

Answer:

The numerical length of RS is 22 units

Step-by-step explanation:

∵ Point S is on the line segment RT

→ <em>That means S divide RT into two parts RS and ST</em>

∴ RS + ST = RT

∵ RS = 4x - 10

∵ ST = 2x - 10

∵ RT = 4x - 4

→ <em>Substitute them in the statement above</em>

∴ 4x - 10 + 2x - 10 = 4x - 4

→ <em>Add the like terms in the left side</em>

∴ (4x + 2x) + (-10 + -10) = 4x - 4

∴ 6x + (-20) = 4x - 4

∴ 6x - 20 = 4x - 4

→ <em>Add 20 to both sides</em>

∴ 6x -20 + 20 = 4x - 4 + 20

∴ 6x = 4x + 16

→ <em>Subtract 4x from both sides</em>

∴ 6x - 4x = 4x - 4x + 16

∴ 2x = 16

→ <em>Divide both sides by 2 to find x</em>

∴ \frac{2x}{2}=\frac{16}{2}

∴ x = 8

→ <em>Substitute the value of x in Rs to find its length</em>

∵ RS = 4(8) - 10

∴ RS = 32 - 10

∴ RS = 22 units

The numerical length of RS is 22 units

3 0
3 years ago
. Write an equation for the line parallel to y = 7x + 11 that contains P(-5, 7).
m_a_m_a [10]
A) x – 7 = -7(6y + 5)

x – 7 = -42y + -35

x – 7 + 35 = -42y

x + 28 = -42y

y = (1/42)x – 14/21

c) y – 7 = 7(x + 5)

y – 7 = 7x + 35

y = 7x + 42

b) y – 7 = -7(x + 5)

y – 7 = -7x -35

y = -7x – 28

d) y + 7 = 7(x + 5)

y + 7 = 7x + 35

y = 7x + 28
3 0
3 years ago
Susan earned $12 for babysitting her cousin for 3 hours. At this rate, how long will it take her to earn $90?
Anna11 [10]
The answer 22.5 hours
8 0
3 years ago
Read 2 more answers
In a certain Algebra 2 class of 26 students, 5 of them play basketball and 12 of them play baseball. There are 12 students who p
loris [4]

Answer:\dfrac{7}{13}

Step-by-step explanation:

There are only two games basketball and baseball.

Any student who plays could play basketball or baseball.

Given that there are 26 students in total.

Given that there are 12 students who don't play any game at all.

So,there are 26-12=14 students who play play some baseball or basketball.

Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}

The required probability is \frac{14}{26}=\frac{7}{13}

6 0
3 years ago
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