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svlad2 [7]
3 years ago
6

A house has 3 rectangular countertops. Each countertop is 4 and 3/8 by 2 and 2/5 feet. How many square feet of tile is needed to

cover all the countertops?
A. 8 3/20

B. 10 1/2

C. 24 9/20

D. 31 1/2
Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

31\frac{1}{2}ft^2

Step-by-step explanation:

From the information given each of the three rectangular countertops has dimension 4\frac{3}{8} by  2\frac{2}{5} feet.

The area of a rectangular shapes is the product of the dimensions.

Each rectangular countertop has area;

4\frac{3}{8}\times 2\frac{2}{5}=\frac{35}{8}\times \frac{12}{5} =10\frac{1}{2}ft^2

Therefore the number of square feet tiles needed to cover all the countertops is D.

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3 years ago
the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 31 degrees. if the vertical distance
Eduardwww [97]

Answer:

The ride lasts 10 minutes.

Step-by-step explanation:

The triangle that is formed is attached.

In order to find out how long the ride lasts, we need to figure out the horizontal distance d.

From trigonometry we have:

tan(31^o)=\frac{902}{d}.

Therefore

d=\frac{902\:feet}{tan(31^o)}=1501\:feet.

Now the amount of time t the gondola ride lasts is equal to the distance d divided by the speed of the gondola:

t=\frac{1501ft}{155ft/sec} =\boxed{9.69\:minutes.}

To the nearest minute this is 10 minutes.

7 0
4 years ago
What is the mean absolute deviation of her math scores?<br> 5.4<br> 6.4<br> 7.8.<br> o<br> 8.8
lara [203]

Answer:

The mean absolute deviation (MAD) of her Math scores would be 1.2.

Step-by-step explanation:

Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1

7.1 - 5.4 = 1.7

7.1 - 6.4 = 0.7

7.1 - 7.8 = 0.7

7.1 - 8.8 = 1.7

Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2

hope this helps :)

3 0
3 years ago
Help find the answer to this question
marusya05 [52]
First, find the area of the entire traingle using the formula bh/2.
18*9/2=81 cm^2
Then subtract the area of the smaller triangle within the larger one (white triangle). It has the same base but a height of only 4.
18*4/2=36 cm^2
81-36=45
Final answer: 45 cm^2

6 0
3 years ago
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