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3 years ago

How do i find the surface area of a sphere with only the circumference showing

1 answer:

8 0

divide the circumference Pi 3.14 that gives you the denominator / 2 that gives you the radius square the radius and multiply that also that gives you the area

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Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?

Lelu [443]

We can group the expression x³ + 4x² + 5x + 20 as (x³ + 4x²) + (5x + 20). We have factor out the common factors and have (x³ + 4x²) + (5x + 20) x²(x + 4) + 5(x + 4) From this, we have x³ + 4x² + 5x + 20 = x²(x + 4) + 5(x + 4). And thus, the answer is B.

4 0

3 years ago

Read 2 more answers

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

Please help me, ill mark brainliest

madam [21]

Answer: $(6,1.5)$ THE GRAPH IS ATTACHED.

Step-by-step explanation:

The Slope-Intercept form of the equation of a line is:

$y=mx+b$

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

In this case, you have the first equation:

$y=-\frac{1}{2}x+4\frac{1}{2}$

You can identify that:

$m=-\frac{1}{2}\\\\b=4\frac{1}{2}$

If you convert the Mixed number to a Decimal number, you get:

$b=4+0.5=4.5$

Then, knowing the slope and the y-intercept, you can graph the line.

The second equation is:

$3x-4y=12$

Solve for "y":

$-4y=-3x+12\\\\y=\frac{3}{4}x-3$

Knowing that:

$m=\frac{3}{4}\\\\b=-3$

You can graph the line.

The point of intersection between both lines, is the solution of the system. This is:

$(6,1.5)$

Observe the graph attached.

4 0

3 years ago

Select the number that is a multiple of 4. 42 46 48 54

Vesnalui [34]

Answer:

Step-by-step explanation:

48 is a multiple of 4 as these are the first multiples of number 4. (4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …)

7 0

3 years ago

Read 2 more answers

ASAP PLEASE HELP WILL MARK BRAINLIEST

Lubov Fominskaja [6]

Answer:

Clockwise 270° around the origin: (-5,-4)

Counterclockwise 270° around the origin: (5,4)

Step-by-step explanation:

Clockwise

A(x,y) -> A'(-y,x)

Counterclockwise 270° rotation rule:

A(x,y) -> A'(y,-x)

6 0

4 years ago