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LenKa [72]
3 years ago
7

Find the total surface area of this square based pyramid. 10 in 5 in

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

125in

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

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2 A garden hose supplies 36 gallons of water in 3 minutes. Use a table or eq
Vilka [71]

Answer  ↣ 12 gallons per minute

Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.

Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.

To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.

Well to get from 3 to 1, you have to divide by 3.

Do the same thing to 36. 36/3 equals 12.

So the final ratio is 12:1

This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).

You can multiply 1 by any number and multiply 12 by the same number.

Here are some ratios...

m=minutes

g=gallons

1m:12g

2m:24g

3m:36g

4m:48g

5m:60g

Hope this helped!

BTW why do I sound like this I'm not a aesthetic person-

8 0
2 years ago
What is the force required to move a 2,000 kg car with an acceleration of 2 m/s/s?
Airida [17]

We know that According to Newton's Second Law that :

Force acting on an object is equal to the Mass of that Object multiplied by the Acceleration of that Object.

Given Mass of the Car as : 2000 kg

Acceleration of the Car as : 2 m/s²

Force required to move the Car = 2000 × 2 = 4000 Newton

6 0
3 years ago
Read 2 more answers
Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She dis
CaHeK987 [17]

Answer:

<u>C. 1 to 7.99</u>

Step-by-step explanation:

Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.

As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:

<u>C. 1 to 7.99</u>

4 0
2 years ago
Read 2 more answers
In the coordinates of A are (-2,3) and the coordinates of B are (7,-1), find the length of AB
nekit [7.7K]

Answer:

√97

Step-by-step explanation:

5 0
3 years ago
-. In Ms. Nice's class of 9 students, the average
frutty [35]

Answer: 94.5

Step-by-step explanation:

If average of 9 students is 94, their total will be 94x 9 = 846

If the 10th student scores 99, the new total is 846 + 99 = 945

So, the new average will be

945/10 = 94.5

6 0
3 years ago
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