Suppose a rope is nailed to a pole 35 meters above the ground and extended away from the base of the pole. The distance from the base of the pole to the end of the rope is 15 meters. What is the angle made by the rope and the ground?

A. 21.2∘
B. 66.8∘
C. 25.4∘
D. 64.6∘

Answers

Answer 1

Answer:

[tex]B. \: \boxed{66.8}[/tex]

Step-by-step explanation:

[tex]to \: solve \: this \: little \: poblem : we \:apply \: the \: pythagrean \: rule \to \\ \boxed{SOH} \boxed{CAH} \boxed{TOA} \to \\ we \: are \: been \: given : \to \\ the \: \boxed{opp }\: of \: the \: required \: angle \: = 35. \\ the \: \boxed{adj }\: of \: the \: required \: angle \: = 15. \\ now \: lets \: apply \: \boxed{TOA}\to \: \tan( \theta) = \frac{opp}{adj} \to\\ \tan( \theta) = \frac{opp}{adj} = \frac{35}{15} = 2.3333333333 \\ \theta = \tan {}^{ - 1} (2.3333333333) \\ \boxed{\theta = 66.80}[/tex]

♨Rage♨


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What does acosd mean?​

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Answer:

Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].

Step-by-step explanation:

The angle that is an alternate interior angle with angle 1 is angle ?

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Answer:

the alternate angle is angle 2

Answer:

2

Step-by-step explanation:

Alternate interior angles are two angles that are on opposite sides of the transverse and on the inner (interior) side of the two parallels.

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the answer is c .............

Danny took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the correct answers? (Round your answer the the nearest hundredth)

A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

Answers

Answer:

1. 78%

2. 16

Step-by-step explanation:

35 + 10 = 45

Danny got 35/45 answers correct.

Divide 35 into 45

35 ÷ 45 = .777777778

.777777778 ≈ .78

To convert a decimal to a percentage, move the decimal point two spaces behind.

.78 = 78%

Danny got 78% of the answers correct.

80% = .8 = [tex]\frac{8}{10}[/tex]

Multiply [tex]\frac{8}{10}[/tex] by 20 to get the answer

[tex]\frac{8}{10}[/tex] × [tex]\frac{20}{1}[/tex] = [tex]\frac{160}{10}[/tex]

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[tex]\frac{160}{10}[/tex] = 16

Pine trees and juniper trees are common to the San Bernardino

mountains. Pine trees have a mean height of 52 meters with a

standard deviation of 3 meters. Juniper trees have a mean

height of 22 meters with a standard deviation of 5 meters.

(a) At the base of a trail, there is a 48-meter-tall pine tree and a

33-meter-tall juniper tree. Calculate the Z-score for each of

these trees.

If necessary, round your answers to the nearest 2 decimal

places. Write both answers in the text box below.

Answers

Answer:

Z-score = 0.9450

Step-by-step explanation:

Step(i):-

 mean height of pine tree (x₁⁻) = 52

standard deviation of pine tree σ₁ = 3

Mean height of Jupiter tree ((x₂⁻) = 22

standard deviation of Jupiter tree  σ₂ = 5

Size of first sample n₁ = 48

size of second sample n₂ = 33

Step(ii):-

Z-score

               [tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]

              [tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]

             Z = 0.9450

             

             

             

what is 2x + y = -14 in slope intercept form?

Answers

Answer:

 y = -2x - 14

Step-by-step explanation:

Slope intercept form: y = mx + b

2x + y = - 14

      y = -2x - 14

Write the constant term in 5a3b + 2ab2 + 3.

Answers

Answer:

the answer will be this

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A decrease of 250 attendees

Answers

Answer:

-250 attendees or you owe 250 attendees

Step-by-step explanation:

Decrease means negative or subtracting of something.

So a decrease of 250 attendees is -250  

You work for a landscaping company and need to purchase a new trailer. The original price of the model you are looking at is $1,799, but the trailer is currently on sale for 15% off.

Answers

The new cost of the trailer, with the 16% discount, is $1,529.15. If you multiply 1,799 by .85 (as with the discount applied, you are paying 85% of the original cost), you would be $1,529.15.

You could also multiply .15 by $1,799, you get 269.85 (which is the discount with the sale). Subtract this value from 1799 and you would get the current price of the trailer (above)

Help please
1/4 (8x + 12y +16z)

Answers

Answer:

8+12+164

Step-by-step explanation:

g(n) = n + 2; Find g(6)

Answers

Answer:

g(6)=8

Step-by-step explanation

they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2

g(6)=8

The graph below shows the hours students spent studying and their language arts test scores.

Hours Spent Studying vs. Language Arts Test Scores
A graph has hours spent studying on the x-axis and language arts test scores on the y-axis. A line goes through points (2.5, 60) and (5, 80).

Based on trend line on the graph, what is the expected test score for a student who did not study?
0.5
8
40
45

Answers

Answer:

cccc

Step-by-step explanation:

it is correct on edge

The expected test score for a student who did not study is 40.

Option C is the correct answer.

We have,

Given that the line on the graph passes through the points (2.5, 60) and (5, 80), we can use this information to estimate the expected test score for a student who did not study.

Let's calculate the slope of the line using the two given points:

Slope = (change in y)/(change in x)

= (80 - 60)/(5 - 2.5)

= 20/2.5

= 8

The slope of the line is 8, which indicates that for every additional hour spent studying, the test score increases by 8 points.

Since we are looking for the expected test score for a student who did not study (0 hours spent studying), we can substitute x = 0 into the equation of the line to find the corresponding y value (test score).

y = mx + b (where m is the slope and b is the y-intercept)

Using the given points, we can find the y-intercept (b) by substituting one of the points into the equation:

60 = 8(2.5) + b

60 = 20 + b

b = 60 - 20

b = 40

The equation of the line is y = 8x + 40.

Now, substitute x = 0 into the equation to find the expected test score:

y = 8(0) + 40

y = 0 + 40

y = 40

Thus,

The expected test score for a student who did not study is 40.

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What is the mode for the set of data? 6,7,10,12,12,13

10
12
13
11

Answers

12
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What implications can you draw based on the coefficient of variation from these two data sets?

Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:

Weight Height

Mean 160 pounds 66 inches

SD 30 pounds 4 inches

You cannot compare these two data sets using a coefficient of variation because they are in different units

A. That both sets of data are equally variable.

B. That the weight data is more variable than the height data.

C. That the height data is more variable than the weight data.

Answers

Answer:

B. That the weight data is more variable than the height data.

Step-by-step explanation:

Given that :

_________ Weight _____ Height

Mean ___ 160 pounds ___ 66 inches

SD _____ 30 pounds ____ 4 inches

The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.

Weight in pounds :

Standard deviation in pounds / mean in pounds

30 / 160 = 0.1875

Height in inches :

Standard deviation in inches / mean in inches

4 / 66 = 0.060

0.1875 > 0.060

Hence, weight data is more variable than height data.

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Answer:

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−5 −4 −3 −2 −1
0
1
2
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5
Copyright © by Savvas Learning Company LLC. All Rights Reserved. 7
Name
Reteach to Build
Understanding
1-3
If you are adding two positive integers, the sum will be positive.
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Answers

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Step-by-step explanation:


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Answers

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Step-by-step explanation:

(●'◡'●)

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Answers

Answer:

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Step-by-step explanation:

The speed limit is 35 mph

Which equation represents the statement?

[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
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Answers

Answer:

[tex] b.~~s \le 35 [/tex]

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

[tex] s \le 35 [/tex]

Complete the third step to solve the equation,
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2.
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3.
Solve forx:
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation: i just completed the unit practice test and got 100%

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Answer:

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Step-by-step explanation:

Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.

In fact, most of the answers for this portion are wrong on here.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =

Answers

Answer:

2 x (5 x 6)

Step-by-step explanation:

When you switch the order around this way it comes out the same

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2 x (5 x 6) -> 2 x (30)-> 60

The table below shows the U.S. average life expectancy at birth, in years,
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Years since
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Answer:

the answer is c

Step-by-step explanation:

because all the other ones are wrong besides d and c and I did the math and it was c

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Step-by-step explanation:

solve
[tex] \frac{3x + 4}{2} = 9.5[/tex]

Answers

Answer: 5

Step by step:

(3x+4)/2 = 9.5
3x+4 = 9.5*2
3x+4 = 19
3x = 19 -4
3x = 15
x = 5

I started swimming at 8am.
12
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What time did I finish swimming?

Answers

Answer:

360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am

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