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3 years ago

two similar figures have an area of 25 in^2 and 4 in^2, what is the ratio of the corresponding sides?

Mathematics

1 answer:

choli [55]3 years ago

7 0

Answer:

5/2

Step-by-step explanation:

ratio of sides=(√25)/(√4)=5/2

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Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit

mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

<u>Height of the kite: </u>

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

From the given data, the values are $\theta=42^{\circ}$ , opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

$sin \ 42=\frac{h}{105}$

Multiplying both sides of the equation by 105, we get;

$sin \ 42 \times 105=h$

$0.669 \times 105=h$

$70.245=h$

Rounding off to the nearest meter, we get;

$h=70$

Thus, the height of the kite is 70 meters.

8 0

3 years ago

f(x) = 7x g(x) = 7x + 6 Which statement about f(x) and its translation, g(x), is true? The domain of g(x) is {x | x > 6}, and

Cloud [144]

The asymptote of g(x) is the aymptote of f(x) shifted six units up

7 0

3 years ago

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A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c

BartSMP [9]

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

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3 years ago

A rectangular prism has a length of 10 cm and width of 5 cm. If the volume of the prism is 250 cm3 , find the height. (Volume of

belka [17]

Height = 5cm

This is because

L=10

W=5

10 x 5 = 50

50 x ? = 250

---- ------

50 50

? = 5

The height is 5

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3 years ago

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2/5 + k/4 = 9/10 (solve with work)

Alla [95]

The LCD of 2/5 + k/4 = 9/10 is 20. Applying this LCD, we get:

8 + 5k = 18. Subtracting 8 from both sides: 5k = 10. Then k = 10/5, or k = 2.

6 0

3 years ago

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