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2 years ago

Find the surface area of the regular pyramid. Write your answer as a decimal.

Mathematics

2 answers:

Salsk061 [2.6K]2 years ago

4 0

Answer:

322.5 in²

Step-by-step explanation:

1 base triangle + 3 top triangles

(½×15×13) + 3(½×10×15)

322.5

Llana [10]2 years ago

4 0

Answer:

the answer is attached to the picture

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Without subtracting 8.5-4.64, determine what digit will be in the hundredths place. Explaine?

Eddi Din [679]

You can determine it because 10 minus 4 is 6. Since there is a 0 in 8.5 in the hundredths place, it is automatically ten (borrowing).

8 0

3 years ago

Question in the photo

yaroslaw [1]

Using translation concepts, the equation of g(x) is given as follows:

$g(x) = -\frac{35}{x + 10} - 1$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

$f(x) = \frac{1}{x}$

For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:

$g(x) = \frac{1}{\frac{1}{5}}x = \frac{5}{x}$

For a vertical stretch by a factor of 7, we have to multiply by 7, hence:

$g(x) = \frac{35}{x}$

For a reflection in the y-axis, we have to find g(-x), hence:

$g(x) = \frac{35}{-x} = -\frac{35}{x}$

For a translation of 10 units left, we have to find g(x + 10), hence:

$g(x) = -\frac{35}{x + 10}$

For a translation of 1 unit down, we have to subtract one, hence:

$g(x) = -\frac{35}{x + 10} - 1$

More can be learned about translation concepts at brainly.com/question/28174785

#SPJ1

8 0

1 year ago

Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast a

8090 [49]

Answer: Length of shorter tree = 7.2 feet .

Step-by-step explanation:

Given : Height of two trees as 50 feet and 20 feet.

At same time the angle made by sun rays would be same for both trees.

Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.

Corresponding sides of similar triangles are proportional.

So $\dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2$