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Inessa05 [86]
3 years ago
5

A man knows that his apple tree is 51 ft high. At 11:00 am the tree casts a shadow of 68 ft. What is the angle of elevation of t

he sun? Round to the nearest tenth
Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

36.9 degrees

Step-by-step explanation:

This problem can be solved by drawing a right triangle and doing trigonometry. We can draw our triangle with a height of 51 and a base of 68. In order to find the angle from the ground to the sun we can use arctangent (tan^-1). Since tan(angle)=opposite/adjacent we can find the angle by doing angle=tan^-1(51/68)

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Write 16^8 as a power with a base of 4
ruslelena [56]

(4^2)^8 would be the answer 4^2=16 and 16^8 is the same thing

4 0
3 years ago
Read 2 more answers
Note: Figure is not drawn to scale. If m1 + m2 = 134°, what is m3? A. 138° B. 49° C. 46° D. 136°
NemiM [27]

Answer:

Measure of angle 3: C (46 degrees)

Step-by-step explanation:

As there is no attachment, I will assume the question is in reference to a triangle. Knowing that a triangle contains 3 angles the answer can be retrieved through simple steps:

m∠1 + m∠2 + m∠3 = 180 degrees, by Sum of Angles in Triangle Theorem, <em>thus;</em>

Through substitution + algebra:

134 + m∠3 = 180,

m∠3 = 46 degrees

8 0
3 years ago
What is the cost of 5 pounds of peppers if 4 pounds cost $2.60
sergeinik [125]

2.60

\frac{2.60}{4} =  \frac{13}{20} \times 5 = 3.25

so <em>5</em><em> </em><em>p</em><em>o</em><em>u</em><em>n</em><em>d</em><em>s</em><em> </em><em>o</em><em>f</em><em> </em><em> </em><em>p</em><em>e</em><em>p</em><em>p</em><em>e</em><em>r</em><em> </em><em>wou</em><em>ld</em><em> </em><em>c</em><em>o</em><em>s</em><em>t</em><em> </em><em> </em><em> </em><em> </em><em>3</em><em>.</em><em>2</em><em>5</em>

5 0
3 years ago
objective: central limit theorem assumptions. the factor(s) to be considered when assessing if the central theorem holds is/are
Eddi Din [679]

Answer:

Sample size

Step-by-step explanation:

Central Limit Theorem states that population with mean and standard deviation and if the sample size is large then the distribution of sample mean will be will be normally distributed. The central limit theorem holds assumptions that the factors to be considered when assessing central limit theorem is sample size.

8 0
3 years ago
n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However,
timurjin [86]

The difference (faculty-student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions. Option D is correct.

<h3>What is the standard deviation?</h3>

It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.

The standard deviation of the sampling distribution is found as;

\rm \sigma_F-\sigma_s= \sqrt{\frac{0.37 \times (1-0.37)}{28}+\frac{0.89 \times (1-0.89)}{100}  } \\\\  \sigma_F-\sigma_s=0.096

The difference in the sample proportions of those who think five minutes is not enough time for students to switch classrooms generally differs by roughly 0.096 from the actual difference in proportions.

Hence option D is correct.

To learn more about the standard deviation, refer to: brainly.com/question/16555520.

#SPJ1

6 0
2 years ago
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