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Elina [12.6K]
3 years ago
9

A blueprint has a rectangle with length 12 inches and width 8 inches. The actual dimensions of the rectangle are 96 feet by 64 f

eet.
What was the scale used?

A. 1 inch = 8 feet
B. 1 inch = 12 feet
C. 8 inches = 8 feet
D. 1 inch = 1 foot
Mathematics
2 answers:
Korvikt [17]3 years ago
8 0
The answer is A. 1 inch = 8 feet
Flauer [41]3 years ago
5 0

Answer:

<em>The correct option is:  A.  1 inch = 8 feet</em>

Step-by-step explanation:

In the blueprint, length is 12 inches and width is 8 inches.

In the actual rectangle, length is 96 feet and width is 64 feet.

So,

\frac{blueprint\ length}{actual\ length}=\frac{12\ inches}{96\ feet}=\frac{1\ inch}{8\ feet}

and

\frac{blueprint\ width}{actual\ width}=\frac{8\ inches}{64\ feet}=\frac{1\ inch}{8\ feet}

So, the scale used:  1 inch = 8 feet

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The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.
Kruka [31]

Answer:

34 and 17

Step-by-step explanation:

x+y=51

2y=x

2y+y=51

3y=51

y=17

2(17)=x

x=34

7 0
3 years ago
Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP
Sergio [31]

Answer:   294.4 m²

<u>Step-by-step explanation:</u>

Separate the shaded region into two parts:

  1. The section containing the central angle of 230° (360° - 130°)
  2. The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3

2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1

Area of shaded region = Area of (1) + Area of (2)

                                      =    247.3     +      47.1

                                      =               294.4

8 0
4 years ago
Read 2 more answers
There are no universally accepted definitions of the ages of Millennials and Generation Xers; the consensus is that the former a
nadya68 [22]

Answer:

<u>A. The probability that a Millennial is married is 0.089 or 8.9%.</u>

<u>B. The probability that a Baby Boomer is single, never married is 0.03 or 3%.</u>

<u>C. The probability that one person selected randomly (female or male) is married is 0.513 or 51.3% </u>

<u>D. The probability that someone who is living with a partner, but not married is a Generation X is 0.025 or 2.5%.</u>

Step-by-step explanation:

According to the information provided on the analysis table, we can answer the questions:

A. The probability that a Millennial is married is 0.089 or 8.9%.

B. The probability that a Baby Boomer is single, never married is 0.03 or 3%.

C. The probability that one person selected randomly (female or male) is married is 0.513 or 51.3% (Millennial 0.089 + Generation X 0.223 + Baby boomer 0.201)

D. The probability that someone who is living with a partner, but not married is a Generation X is 0.025 or 2.5%.

7 0
3 years ago
A cake recipe says to bake the cake until the center is 180 degrees F, then let the cake cool to 110 degrees F. The table shows
jeka94

Answer:

Check the explanation

Step-by-step explanation:

a) The following exponential model would fit the given dataset : \small y = 129.122 \times (0.9742)^x

b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.

4 0
3 years ago
A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the numb
34kurt

Answer:

1 cup of chocolate chips equals 18 cookies and 2 cups equals 36 and 3 cups equals 54

Step-by-step explanation:

3 0
3 years ago
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