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Ierofanga [76]
3 years ago
6

A kite is flying at an angle of elevation of about 40 degrees. all 80 m of string have been let out. ignoring the sag in the str

ing, find the height of the kite to the nearest 10 m.

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0
Sin 40° = h / 80 m
0.6427876 = h / 80 m
h = 0.6427876 · 80 m
h = 51.423 m ≈ 50 m ( to the nearest 10 m )
Answer:
The height of the kite is about 50 m.
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The following data represent the discrete probability distribution for the number of stars that reviewers have a first edition s
Shkiper50 [21]

Answer:

Step-by-step explanation:

given that the following data represent the discrete probability distribution for the number of stars that reviewers have a first edition statistics reference book.

Stars            5    4      3         2    1

Probability 25% 35% 20% 10% 10%

H0: Second edition is as per the above probabilities

Ha: atleast one is different from the above probability

(two tailed chi square test)

Alpha = 0.025

Assuming H0 to be true we calculate expected frequencies for total 80

chi square calculatons are shown below

df = 4

                  5     4         3 2 1      Total

Observed 28    28 13 6 5      80

Expected 20    28 16 8 8      80

chi square        

(O_E)^2/E 3.2 0 0.5625 0.5 1.125 5.3875

p value =0.1455

Since p value >0.025, we accept H0

The expected requency of three-star reviews is ________.16

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3 years ago
In a child's bank are 11 coins that have a value of S1.85. The coins are either
Karo-lina-s [1.5K]

Answer:

The child has 6 dimes and 5 quarters.

Step-by-step explanation:

Let q and d represent the number of quarters and of dimes respectively.

Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).

Multiply the 2nd equation by 100 to remove the decimal fractions:

25q + 10d = 185 (Equation C)

Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:

-10q - 10d = -110

25q + 10d = 185

--------------------------

15q         = 75, and so q = 75/15 = 5.

According to Equation A, q + d = 11.  Replacing q with 5, we get:

5 + d = 11, and so d = 6.

The child has 6 dimes and 5 quarters.

4 0
3 years ago
A square patio has a perimeter of (32x+8) feet. What is the length of the patio?
kotykmax [81]
<h3>Hello There!!</h3>

<u>Given</u>

Perimeter = (32x + 8)

<u>To </u><u>Find</u>

Length of the Patio

<u>We Know,</u>

\text{Perimeter of Square = 4 × sides}

\text{ 32x + 8} = 4 \times  \text{sides} \\  \\   \fbox{dividing each side with 4} \\  \\  \implies  \text{( 32x} \div 4) + (8 \div 4) =  \frac{4 \times  \text{sides}} {4} \\  \\ \implies  \text{8x + 2} =  \frac{ \cancel4 \times  \text{sides}} { \cancel4}   \\  \\  \implies  \text{sides} = \text{8x + 2}

\therefore \text{ Length of the Patio} =  \text \red{ \underline{8x + 2 feet}}

<h3>Hope this helps!!</h3>
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Answer:

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2 years ago
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