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3 years ago

He measure of angle AFB = 78°

Mathematics

2 answers:

velikii [3]3 years ago

8 0

It’s angle AFE because its the one in the same line as AFB and since the line is 180 degrees that means they add up to 180

Makovka662 [10]3 years ago

7 0

Angle AFE is supplementary to angle AFB because they are both along the line with points EFB. When two angles are along a straight line, they equal 180 degrees. This is also what the definition of supplementary is.

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At Crescent High School, 120 students plan on going to an in-state college and 70 students plan on going to an out-of-state coll

Finger [1]

In order to put two quantities as a relationship, just put a colon or a fraction bar in between them, in the order that the problem asks you.

In this problem, it's asking for the # of students planning to go to an instate college to the # of students planning to go to an out of state college.
So, 120 : 70

Even though it doesn't tell you to simplify, it will never hurt you, so always do it.
Both 120 and 70 can be divided by 10, so the simplified answer would be 12:7

Hope this helps!

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3 years ago

The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va

kow [346]

Answer:

$16\ acres$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{551,520}{20}=\$27,576\ per\ acre$

The linear equation is equal to

$y=27,576x$

Find out how many acres are on a farm with a total operating cost of $441,216

For y=$441,216

substitute in the linear equation the value of y and solve for x

$441,216=27,576x$

$x=441,216/27,576$

$x=16\ acres$

5 0

4 years ago

Read 2 more answers

Lily made a scale drawing of a house and its lot. The scale she used was 7 inches = 3 feet. What is the scale factor of the draw

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

7/3 inches = 1 ft

3 0

3 years ago

If x+y is rational,must x and y each br rational?

aniked [119]

Answer:

No.

Step-by-step explanation:

$x$ and $y$ could be irrational and $x+y$ be rational.

Example:

Let $x=\sqrt{2}$ and $y=-\sqrt{2}$ .

And $x+y=\sqrt{2}+-\sqrt{2}=0$ and 0 is rational.

3 0

3 years ago

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HELP PLEASE. 50 POINTS!!

valkas [14]

Answers:
(1) Option (B) 60.
(2) Option (C) 946.4 yd^2.
(3) D<span>egree of the central angle for sector C = </span>126°.

Explanations:
(1) The original area of parallelogram is = A = 120

Since
Area-of-parallelogram = (base)(height)
A = bh = 120

Now the base is reduced to one-fourth of its original length and height is doubled. Therefore the new Area will be:
$A_{new} = ( \frac{1}{4} b)(2h)$

Since bh = 120 (as stated above); therefore:

$A_{new} = ( \frac{1}{2} bh)
$

$A_{new} = ( \frac{1}{2} 120) = 60$

So the new Area will be 60.

(2) The area of a regular polygon = Area = (1/2)(apothem) (perimeter).
perimeter = 8 * (side-length) = 8(14) = 112 yards

(8 because it's octagon)
Area = (1/2)(apothem) (perimeter)Area = (1/2)(16.9) (112)Area = 946.4 yd^2
(3) For this you need to know the sector-angle formula:

(Area-of-a-given-sector) / (Total Area) = (Degrees-of-the-central-angle)/(Total-degrees)

Area-of-a-given-sector = 0.35
Total Area = 0.35 + 0.15 + 0.5 = 1.0
Degrees-of-the-central-angle = ?
Total Degree = 360°

Plug in the values in equation:
0.35/1 = (Degrees-of-the-central-angle)/360°

=> Degrees-of-the-central-angle = 0.35 * 360° = 126°

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4 years ago

Read 2 more answers