Answer:
Bird house is 20 ft. high.
Step-by-step explanation:
Let the height of the bird house is h feet high casts a shadow of 14 ft long.
My friend is 5 feet high and casts a shadow of 3.5 feet.
Now we see both the triangles Δ ABC and Δ XYZ are similar.
By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.
(from similar triangles ABC and XYZ)
Therefore bird's house is 20 feet high.
Answer:
20 feet high
Step-by-step explanation:
Do the work
Answer:
Step-by-step explanation:
We are asked to represent as the product of the GCF and another sum.
First of all, we will find the greatest common factor of 18 and 24.
Factors of 18: 1, 2, 3, 6, 9, 18.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
We can see that greatest common factor of 18 and 24 is 6. Let us write our given expression as product.
Factor our 6:
Therefore, our required expression would be .
Answer:
The hourly rate Bruce charges is, $33.75
Step-by-step explanation:
Direct Variation states two variables that can be expressed by an equation in which one variable is equal to a constant times the other, or we can say that if one variable changes then the other changes in proportion to the other.
i.e or
y = kx where k is the constant.
Let x be the number of hours and y be the charges.
He charges $ 135 for 4 hours, by using direct variation;
⇒
Solve for k:
per hour
Now, for 6 hours he charges $ 202.50, by using direct variation.
⇒
Now, solve for above k: we have
per hour.
Therefore, the hourly rate Bruce charges to rent a snowmobile, k is, $ 33.75
Answer: Hourly rate of rent a snowmobile is $ 33.75.
Step-by-step explanation:
Since we have given that
Amount Bruce charges for 4 hours = $135
Amount Bruce charges for 6 hours = $ 202.50
Since there is direct variation, as with the increase in hours the cost will also increase.
So, it will be written like this :
But we need to find the hourly rate which will be
Hence, hourly rate of rent a snowmobile is $ 33.75.
Answer:
The number is 5
Step-by-step explanation:
if 3 is added to a number and the sum is tripled, the result is 19 more than the number
(n+3) *3 = n+19
Distribute the 3
3n +9 = n+19
Subtract n from each side
3n-n +9 = n-n+19
2n +9 = 19
Subtract 9 from each side
2n+9-9 = 19-9
2n =10
Divide by 2
2n/2 =10/2
n=5
The number is 5
Answer:
(x + 3)·3 = x + 19 --> x = 5