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Aleksandr-060686 [28]
3 years ago
14

Lexie is making a model of the Empire State Building. The scale of the model is 1 inch = 9 feet. The needle at the top is 31.5 f

eet tall. How big should the needle be on the model?
Mathematics
2 answers:
Alex787 [66]3 years ago
8 0
The needle at the top of the model should be 3.5 inches.
torisob [31]3 years ago
5 0

Answer:

3.5 inches

Step-by-step explanation:

Set up a proportion:

\frac{9 ft}{1 in} = \frac{31.5 ft}{x in}

Cross multiply in order to solve for x:

9x = 31.5

Divide by nine:

x = \frac{31.5}{9}

Simplify:

x= 3.5

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4 0
2 years ago
10 points!!!!! Do 14 and 15 only hurry please.
Aleksandr [31]

Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

3 0
2 years ago
Read 2 more answers
What is In 7 days, a group of workers can plant 21 acres. What is their rate in acres per day?
FromTheMoon [43]
So do 21/7 to give you how much they do in a day. The answer is three so they do 3 aceres in a day.
8 0
3 years ago
Maria is m inches tall. Blaire is 2 inches taller than Maria. If Blaire is 52 inches tall, which equation could be used to find
Setler79 [48]
The answer would be C. m+2=52
7 0
2 years ago
Read 2 more answers
Money is borrowed at 15% simple interest. After one year,$1181.05 pays off the loan. How much was originally borrowed?
marin [14]

Answer: $787 was originally borrowed.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

Total amount = $1181.05

Interest = total amount - principal

I = 1181.05 - P

R = 15%

T = 1 year

Therefore,

1181.05 - P

Therefore,

1181.05 - P = (P × 15 × 1)/100

1181.05 - P = 0.15P

P + 0.15P = 1181.0

1.5P = 1181.05

P = 1181.05/1.5

P = $787

5 0
3 years ago
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