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romanna [79]
3 years ago
15

a tree 40 feet high casts a shadow 58 feet long. find the measure of the angle of elevation pf the sun.

Mathematics
1 answer:
ddd [48]3 years ago
8 0
163 is the answer for me
but if its not right just message me
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If angles are congruent, solve by setting expressions equal to each other.<br><br> True<br> False
Taya2010 [7]
Answer: True, angles that are congruent are equaled to each other
3 0
3 years ago
Can u guys PLEASE ANSWER this question ASAP.
qwelly [4]

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

We have:

- The sum of x and 12 is: x+12

- The sum of half of x and 5 is: \frac{1}{2}x+5

So, the equation to write in this problem is

x+12=\frac{1}{2}x+5

We solve it as follows:

1) First, we subtract \frac{1}{2}x from both sides, and we get

x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5

2) Then, we subtract 12 from both sides:

\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7

3) Now we multiply both sides by 2:

\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14

So, this is the solution.

8 0
3 years ago
We would like to estimate the proportion of UF students who owns a scooter to within 1% of the truth, with 95% confidence. We do
professor190 [17]

Answer:

Option A) 9604

Step-by-step explanation:

We are given the following in the question:

Confidence level = 95%

Standard error = 1%

p = q = 0.5

Formula for sample size:

n = (z_{stat}\times \dfrac{p(1-p)}{\text{Standard error}})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

n = (1.96\times \dfrac{0.5(1-0.5)}{0.01})^2 = 9604

Thus, the sample size must be

Option A) 9604

8 0
3 years ago
ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1). Find the coordinates of O' a
Setler79 [48]
Given:
T (-3,4) ; O (-4,1) ; Y (-2,3)
T'(-1,1) ; 

T
-3 move forward 2 points to reach -1
4 move forward 3 points to reach 1

O
-4 move forward 2 points to reach -2
1 move forward 3 points to reach -2

Y
-2 move forward 2 points to reach 0
3 move forward 3 points to reach 0.

O'(-2,-2) ; Y'(0,0)   1st option.

3 0
3 years ago
Read 2 more answers
If ΔABC and ΔGEF are congruent by the ASA criterion, which pair of angles must be congruent?
pishuonlain [190]

Answer: B: CAB and GEF

Step-by-step explanation:

7 0
3 years ago
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