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An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual buildi

Sever21 [200]

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.

8 0

3 years ago

A basic cellular phone plan costs $4 per month for 70 calling minutes. Additional time costs $0.10 per minute. The formula C= 4+

Harrizon [31]

Answer:

For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.

Step-by-step explanation:

The problem states that the monthly cost of a celular plan is modeled by the following function:

$C(x) = 4 + 0.10(x-70)$

In which C(x) is the monthly cost and x is the number of calling minutes.

How many calling minutes are needed for a monthly cost of at least $7?

This can be solved by the following inequality:

$C(x) \geq 7$

$4 + 0.10(x - 70) \geq 7$

$4 + 0.10x - 7 \geq 7$

$0.10x \geq 10$

$x \geq \frac{10}{0.1}$

$x \geq 100$

For a monthly cost of at least $7, you need to have at least 100 calling minutes.

How many calling minutes are needed for a monthly cost of at most 8:

$C(x) \leq 8$

$4 + 0.10(x - 70) \leq 8$

$4 + 0.10x - 7 \leq 8$

$0.10x \leq 11$

$x \leq \frac{11}{0.1}$

$x \leq 110$

For a monthly cost of at most $8, you need to have at most 110 calling minutes.

For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.

8 0

3 years ago

The radius of the bull’s-eye of the dartboard is 8 inches. The radius of each concentric circle is 8 inches more than the radius

UNO [17]

Answer with Step-by-step explanation:

The radius of the bull’s-eye of the dartboard is 8 inches.

The radius of each concentric circle is 8 inches more than the radius of the circle inside it.

Radius of first circle=8 in.

Radius of second circle=16 in.

Radius of third circle=24 in.

Radius of fourth circle=32 in.

Area of C=Area of the third circle-Area of second circle

= π×24×24-π×16×16

= 320π sq. in.

Total area of dartboard=Area of fourth circle=π×32×32

=1024π sq. in.

P( the dart will hit in area C)= area of c/total area of dart board

=320π/1024π

= 5/16

Hence, correct option is:

B.5/16

5 0

3 years ago

A line goes through the points (4,16) Ana (7,19). Write a linear function rule in terms of x and y for this line

Eva8 [605]

Linear function rule in terms of x and y for this line is y = x + 12

Solution:

Given that a line goes through the points (4, 16) and (7, 19)

To find: linear function rule in terms of x and y for this line

A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line

The slope "m" of a line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=4 \text { and } x_{2}=7 \text { and } y_{1}=16 \text { and } y_{2}=19$

$m=\frac{19-16}{7-4}=\frac{3}{3}=1$

Thus the slope of line is 1

Substitute m = 1 and (x, y) = (4, 16) in y = mx + c

16 = 1(4) + c

c = 16 - 4 = 12

Substitute c = 12 and m = 1 in slope intercept form

y = 1x + 12

y = x + 12 is the required linear function rule

6 0

3 years ago

Oswaldo has read 65 pages of a book. That is 20% of the total number of pages. How many pages long is Oswaldos book? Plz plz plz

Katen [24]

We must multiply 20% by 5 in order to reach 100%.

To find out the total number of pages in Oswaldo's book, we must multiply his 20% (65) by 5, therefore:

65 * 5 = 325 total pages

6 0

2 years ago