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riadik2000 [5.3K]
3 years ago
12

1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s

cale factor did the sign-making store use? (JUSTIFY)
2. A fish tank is 16 inches long, 13 inches wide, and 11 inches high. Find its volume in cubic inches. (JUSTIFY)

please answer both questions. i will give brainliest
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

1. 12 feet = 144 inches

15 feet = 180 inches

144 inches / 8 inches = 18

180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

Volume = 16 x 13 x 11 = 2,288 cubic inches.

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Answer:

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8 0
2 years ago
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region
stich3 [128]

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

5 0
3 years ago
What is the factored form of the polynomial z² − 10z + 25?
qwelly [4]

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

3 0
3 years ago
More math questions there are 2
7nadin3 [17]

<em><u>Problem One</u></em>

Remark

You don't pay a sales tax until cash is exchanged for goods or services.

So what is 70% off

Solution

Sale price = given price * (100% - 70%)

Sale Price = 72 * 30%

Sale Price = 72 * 30/100

Sale Price = 72 * 0.3

Sale Price = 21.6 dollars.

The sales tax is 5% of this amount

21.6 * 5/100 = 1.08

The total cost is = 21.6 + 1.08 = 22.68

Problem Two

If they marked up 100%, effectively they doubled the price.

New Price = old price + 100% of old price.

New Price = 48.50 + 48.50 = 97 dollars.

The sales tax is 6% * 97 = 6/100 * 97 = 5.82

Total Cost = Cost of item + Tax

Total Cost =97 + 5.82

Total Cost = 102.82 Answer <<<<

4 0
3 years ago
Based only on the information given in the diagram, which congruence
Wewaii [24]

Answer:

Option B

Option E

Step-by-step explanation:

By the use of following postulates we can prove the two right triangles to be congruent.

1). HA - [Equal hypotenuse and an cute angles]

2). LL - [Two legs should be equal]

3). LA - [One leg and one angle must be equal]

4). ASA - [Two angles and the side containing these angles should be equal]

In the given right triangles,

1). OJ ≅ IL

2). ∠O ≅ ∠I

3). ∠J ≅ ∠L

Therefore, two postulates HA, ASA will be applicable for the congruence of the two triangles given.

Options A and E will be the answer.

3 0
3 years ago
Read 2 more answers
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