Refer to the figure. Given a is parallel to be and 7 = 94, find the measure of the following angles.

The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent var

AlladinOne [14]

If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.

In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.

It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.

7 0

2 years ago

Find the radius of a circle with area 49

lesya [120]

Answer:

r≈3.95

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=49

π≈3.94933

5 0

2 years ago

A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat tha

Dvinal [7]

Answer:

V = 18816.57 in^3

Step-by-step explanation:

So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.

55 - 2(11) = 33 inches

The radius is half of the diameter, so r = 16.5 inches.

Now just use the formaula V = $\frac{4}{3}\pi r^{3}$

V = (4/3) * 3.14 * (16.5)^3

V = 18816.57 in^3

<em>Also, just a side note.. this is one big coconut..</em>

7 0

3 years ago

What is the area of a regular nonagon with 10 cm sides and an apothem if 6cm?

bearhunter [10]

Answer:

The area of the nonagon is 270cm²

Step-by-step explanation:

The area of a regular polygon is given by

$= \frac{1}{2} ap$

where 'a' is the apothem and 'p' is the perimeter.

The apothem is a=6cm.

The perimeter is p=9×10=90cm.

We substitute the apothem and the perimeter to get:

$= \frac{1}{2} \times 6 \times 90 {cm}^{2}$

$= 270 {cm}^{2}$

8 0

2 years ago

The difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1

otez555 [7]

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

7 0

2 years ago