A circle has a radius of 11 cm. What is the approximate area of the circle? Use 3.14 to approximate pi. Write the answer to the nearest hundredth.

Answers

Answer 1

Answer: area of a circle is pi x r x r
then you substitute the numbers in
therefore you would get 3.14 x 11 x 11 = 379.994
to the nearest hundredth degree would to 379 cm squared because you are finding the area so you put a small 2 above the cm
the person above has done it wrong as they have halved the radius but you only have the diameter to get the radius and they have used the wrong equation

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A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors should be hired if the college wants to keep the same studentto instructor ratio?

Answers

$\begin{array}{ccc}2,000&-&50\n\n6,000&-&x\end{array}\n\n\n2,000x=50*6,000\ \ \ \ \ /:2,000\n\nx=(300,000)/(2,000)\n\nx=150\n\n150-50=100\n\nAnswer:100\ new\ instructors.$

HELP PLS this is my last question

Answers

Answer:

The solutions to the system of the equations are:

$y=1,\:x=3$

Step-by-step explanation:

Given the equations

$y=(2)/(3)x-1;\:y=-x+4$

solving the system of equation

$\begin{bmatrix}y=(2)/(3)x-1\n y=-x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-(2)/(3)x=-1\n y+x=4\end{bmatrix}$

$y+x=4$

$-$

$\underline{y-(2)/(3)x=-1}$

$(5)/(3)x=5$

$\begin{bmatrix}y-(2)/(3)x=-1\n (5)/(3)x=5\end{bmatrix}$

solving for x

$(5)/(3)x=5$

$5x=15$

Divide both sides by 15

$(5x)/(5)=(15)/(5)$

$x=3$

$\mathrm{For\:}y-(2)/(3)x=-1\mathrm{\:plug\:in\:}x=3$

$y-(2)/(3)\cdot \:3=-1$

$y-2=-1$

Add 2 to both sides

$y-2+2=-1+2$

$y=1$

Therefore, the solutions to the system of the equations are:

$y=1,\:x=3$

How do you factor 2n^2+3n-9

Answers

Find the factors that multiply to give 2n^2 and -9 but add to give 3n.
2n and n give 2n^2
-3 and 3 give -9
2n*3=6n ... (1)
n*(-3)=-3n ... (2)
(1)+(2)=3n
Group the factors that do not have an effect/interaction to each other from the above.
That is, 2n and -3, and n and 3

2n^2+3n-9=(2n-3)(n+3)

Solve for r , what is r equal to ?

Answers

Answer:

$r= \sqrt[3]{(3V)/(4\pi)}$

Step-by-step explanation:

$V = (4)/(3) \pi r^3 \n\n3V = 4\pi r^3 \n\nr^3 = (3V)/(4\pi)\n\n\huge \purple {r= \sqrt[3]{(3V)/(4\pi)}}$

If E is on the interior of ∠ABD, m∠ABE = (2x - 5)°, m∠EBD = (x + 1)°, and m∠ABD = 50°, find the value of x.

Answers

$\displaystyle \n m\ \textless \ ABE + m\ \textless \ EBD = m\ \textless \ ABD \n \n (2x - 5)^o + (x + 1)^o = 50^o \n \n 2x-5+x+1=50 \n \n 3x - 4 = 50 \n \n 3x = 50+4 \n \n 3x = 54 \n \n x = (54)/(3) = \boxed{18^o}$

After distributing the terms (2x + 3) (4x – 5), you get a new expression of the formax+ bx + c
What is the value of a?
What is the value of b?
What is the value of c?