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3 years ago

The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {2, 3, 4, 5, 6} and B = {5, 6, 7, 8, 9}, find the following.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

the answer is b

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Solve for x. Enter the solutions from least to greatest.

Anna [14]

Answer:

lesser x = -6

greater x = 12

Step-by-step explanation:

(x - 3)^2 - 81 = 0

(x - 3)^2 = 81

x - 3 = +/- 9

x - 3 = 9 or x - 3 = -9

x = 12 or x = -6

5 0

3 years ago

What is x/13-5=25/26

Juliette [100K]

$\frac{x}{13} -5=\frac{25}{26}$ Add 5 on both sides

$\frac{x}{13}=\frac{25}{26}+5$ Make the denominators the same

$\frac{x}{13}=\frac{25}{26}+\frac{130}{26}$

$\frac{x}{13}=\frac{155}{26}$ Multiply 13 on both sides

$(13)\frac{x}{13}=(13)\frac{155}{26}$

$x=\frac{2015}{26}$

$x=\frac{155}{2}$

4 0

4 years ago

The circumference of a circle is 65?. In terms of pi, what is the area of the circle?

iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) $\pi=\frac{c}{d}$ , where c is the circumference of a circle and d is its diameter

(2) $A=\pi r^2$ , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) $d=2r \rightarrow r=\frac{d}{2}$ .

We can rearrange equation (1) to put d in terms of π and c, giving us (4) $d = \frac{c}{\pi}$ , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

$A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}$

We can now substitute c for our circumference, 65, to get our answer in terms of π:

$A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi$

8 0

3 years ago

Read 2 more answers

What is the equation of a line with a slope of −4−4 and a point (−2,5)

Darya [45]

Here, we can formulate the slope-intercept equation from the point and the slope:

Slope = -4/-4 = 1
x1 = -2
y1 = 5

By point-slope form:

(y-y1) = m (x - x1)
(y-5) = 1(x +2)

y-5 = x +2

Simplifying to slope-intercept form:

y = x + 7

Therefore, the slope-intercept form would be y = x+7

I hope my answer has come to your help. God bless and have a nice day ahead!

7 0

3 years ago

A wheelbarrow has a wheel with a diameter of 10 inches. What is the distance, in inches, that the

DIA [1.3K]

Answer:

Step-by-step explanation:

Using the formula for finding the circumference of a circle.

C = 2πr

r is the radius

radius = diameter/2

radius = 10/2

radius = 5in

C ,= 2(3.14)(5)

C = 20(3.14)

C = 31.4×2

C = 62.8in (for 1 rotation)

For 16 rotations;

C = 16×62.8

C = 1004.8in

The distance covered is 1004.8in

6 0

3 years ago