Select all of the expressions that equivalent to 4 radical 5

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

4 0

3 years ago

Each output value is equal to the square of the input value minus five

Ivenika [448]

i think that A pair of an input value and its corresponding output value is called an ordered pair and can be written as (a, b). In an ordered pair the first number, the input a, corresponds to the horizontal axis and the second number, the output b, corresponds to the vertical axis.

We can thus write our values as ordered pairs

(0, 0) - This ordered pair is also referred to as the origin

(1, 2.5)

(2, 5)

(3, 7.5)

These ordered pairs can then be plotted into a graph.

6 0

3 years ago

Solve the expression x^2-100=0

enot [183]

Answer:

x = ± 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± $\sqrt{100}$ ← note plus or minus, hence

x = ± 10

6 0

3 years ago

1. The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi 2. The scale of a map is 7 in = 16 mi map: 4.9 in actual

alexandr402 [8]

We use ratio and proportion to solve each of these:

1. The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi
1 in / 19.5 mi = x in / 9.5 mi, x = 0.487 in

2. The scale of a map is 7 in = 16 mi map: 4.9 in actual: ______ mi
7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi

3. The scale factor for a model is 5 cm = ________ m Model : 72.5 cm actual: 165.3 m
5 cm / x m = 72.5 cm / 165.3 m, x = 11.4 m

4. The scale of a map is 1 in = 9.6 mi map: ________ in actual: 34.7 mi
1 in / 9.6 mi = x in / 34.7 mi, x = 3.62 in

5. The scale of a map is 1 ft = 9.6 mi map: ________ ft actual: 38.4 mi
1 ft / 9.6 mi = x ft / 38.4 mi, x = 4 ft

6. The scale factor for a model is 5 cm = ________ m Model : 22.4 cm actual: 155.2 m
5 cm / x m = 22.4 cm / 155.2 m, x = 34.64 m

7. The scale of a map is 5 in = 10 mi map: 8.7 in actual: ______ mi
5 in / 10 mi = 8.7 in / x mi, x = 17.4 mi

8. The scale of a map is 1 in = 13.5 mi map: ________ in actual: 65.9 mi
1 in / 13.5 mi = x in / 65.9 mi, x = 4.88 in

9. The scale factor for a model is 5 cm = ________ m Model : 61.5 cm actual: 143.2 m
5 cm / x m = 61.5 / 143.2 m, x = 11.64 m

10. The scale factor for a model is 5 cm = ________ m Model : 29.7 cm actual: 179.5 m
5 cm / x m = 29.7 cm / 179.5 m, x = 30.22 m

3 0

3 years ago

An office will randomly select one computer to check for viruses and other problems. Five of the office computers are less than

alisha [4.7K]

Your answer is going to be 4/9 :)

3 0

3 years ago

Read 2 more answers

Select all of the expressions that equivalent to 4 radical 5​

Select all of the expressions that equivalent to 4 radical 5