Answer:
27.2 ft
Step-by-step explanation:
Let's set up a ratio that represents the problem:
Object's Height (ft) : Shadow (ft)
Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.
34 : 30
Find the unit rate:
The unit rate is when one number in a ratio is 1.
Let's make the Shadow equal to one by dividing by 30 on both sides.
Object's Height (ft) : Shadow (ft)
34 : 30
/30 /30
1.13 : 1
Now, let's multiply by 24 on both sides to find the height of the tree.
Multiply:
Object's Height (ft) : Shadow (ft)
1.13 : 1
x24 x24
27.2 : 24
Therefore, the tree is 27.2 feet tall.
Answer:
B. x > 4
Step-by-step explanation:
12 < 8 + x
12-8 < 8-8 +x
12-8 < x
4 <x
x > 4
Answer:
A' = (- 5, - 1)
Step-by-step explanation:
The coordinates of point A = (- 6, 2)
Under the translation (x + 1, y - 3)
Add 1 to the x- coordinate of A and subtract 3 from the y- coordinate of A
A' = (- 6 + 1, 2 - 3) → A' = (- 5, - 1)
<span>On a certain survey it says:
12 out 15 people in the United States prefer eating at the restaurant rather
than home.
To know how many percent is this.
=> 12 / 15
=> 0.8 which is also 80%
Now, the 80% of the those people in the
survey is 400.
Find the total number of people who took
the survey.
Since we already have the 80%, we need to find the number of 20%
=> 400 x 20%
=> 400 x .20
=> 80
=> 400 + 80
=> 480 => the total number of people who took the survey
</span>