Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC

Identify the biggest perfect square for 75

mr_godi [17]

Answer:

We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3. 3 doesn't have a pair. Thus 75 × 3 = 225 and √225 is 15.

Step-by-step explanation:

8 0

2 years ago

1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism

ivanzaharov [21]

Answer:

(1)750 cubic feet

(2)8 Times

Step-by-step explanation:

<u>Question 1</u>

<u>Dimensions of the Right Triangular Base</u>

Base = 20 feet
Height= 120 inches = 10 feet

Base Area of the Prism

$=\dfrac12 \times 20 \times 10\\=150$ square feet$

Height of the Prism = 5 feet

Volume of the Prism = Base Area X Height

= 150 X 5

=750 cubic feet

<u>Question 2</u>

Length: 12 inches
Width: 4 inches
Height: 8 inches

Volume = 12 X 4 X 8 =384 cubic inches

<u>Havana's box</u>

Havana has a shipping box similar to Jake's box, but each dimension is half as long.

Therefore:

Length: 12/2=6 inches
Width: 4/2=2 inches
Height: 8/2=4 inches

Volume = 6 X 2 X 4 =48 cubic inches

Now:

384/48=8

Therefore, the volume of Jake's box is 8 times larger than Havana's box.

6 0

4 years ago

A city spent about 1/4 of its budget on buildings and maintenance, which was about 1/8 of the total budget less than it spent on

Yuliya22 [10]

Answer:

1/8 of the budget was left for other expenses.

Step-by-step explanation:

1/4 of the budget - buildings and maintenance.

Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.

Therefore:

3/8 of the budget - administrative personnel.

Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.

For other expenses :

1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8

Finally, 1/8 of the total budget was for the other expenses.

6 0

3 years ago

What property is this?<br> (13+a)+4a+2<br> GIVING 30 POINTS

ddd [48]

Answer: 5a+ 13

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Ruchi measured the area of her kitchen as 2.81 times 10 Superscript 4 square units. When she recorded the area, she wrote 2.81 t

yanalaym [24]

Answer:

The following statement is true:

She is incorrect because 2.81 times 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.

Step-by-step explanation:

Area of the kitchen measured = 2.81 · 10⁴ = 28100

Lets evaluate all the statements

<h3>1) She is correct because dimensions of rooms must always be measured in feet and area would be square feet.</h3>

This statement is WRONG because if the dimension were measured in feet, the total area of the kitchen would be 28100 ft², which is too large of a kitchen. 28100 ft² can easily fit 10 medium sized full house of 2800 ft² or even a big building.

<h3>2) She is correct because 2.81 times 10^4 ft squared is equivalent to 2, 810 ft squared, which is an average size for a kitchen since area is always so much more than length</h3>

This statement is wrong because 2.81 ft· 10⁴ft = 28100 ft² NOT 2810 ft².

28100 ft² cannot be the size of the kitchen as discussed before.

<h3 /><h3>3) She is incorrect because 2.81 times 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.</h3>

The statement is CORRECT because 2.81 in· 10⁴in = 28100 in² ≅ 30000 in² = 208 ft² , which can easily be the size of a kitchen.

<h3 /><h3>4) She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.</h3>

The number she calculated was not 2.81, it was 2.81 · 10⁴, which in yards become a very large value for a kitchen

3 0

3 years ago

Read 2 more answers