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KATRIN_1 [288]
3 years ago
5

A vertical pole 5 feet long casts a shadow of 2 feet.if at the same time a nearby tree casts a shadow of 10 feet, how tall is th

e tree? Please show work
Mathematics
1 answer:
ohaa [14]3 years ago
7 0
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as

h1/s1 = h2/s2

where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree

Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
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Question 1
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The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.

Explanation:

In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.

Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.

7 0
3 years ago
What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?
jonny [76]

Answer:IT DEFINETLY SHOULD BE B

3 0
3 years ago
Read 2 more answers
The sum of two numbers is 56. The first number is 2 times greater than the second number. What is the second number?​
weeeeeb [17]

Answer:

y = 56/3

Step-by-step explanation:

We need to write equations to solve

Let the two numbers be x and y

The sum is 56

x+y = 56

The first number is 2 times greater than the second number.

x = 2*y

Substitute this into the first equation

x+y = 56

2y+y=56

3y = 56

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3 0
1 year ago
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1) Alice is a truck driver who drives the same route every day for 5 days. On the
s2008m [1.1K]

Answer:

Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

Step-by-step explanation:

First, we need to <em>divide</em> 927.8 miles by 5.

927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.

Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.

185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.

Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.

168.26 x 5 = 841.3

Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

6 0
3 years ago
Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2
Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}

8 0
1 year ago
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