Solve 4,123 ÷ 78 two different ways using partial quotients.

2. Find the surface area of a cylindrical can of tennis balls if the height of the can is 8

alina1380 [7]

Answer:

125.7 square inches

Step-by-step explanation:

The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:

$A=2 \pi r^2 +2 \pi r h\\A=2 \pi r(r+h)\\A=2 \pi (2)(2+8)\\A=40 \pi\\A=125.7$

7 0

3 years ago

Read 2 more answers

simplify the exponential expression completely. pleeeease help me!!!!! thank you so so so much!!! *will give brainliest*

Marrrta [24]

Answer:

( C ) p5 / q4

Step-by-step explanation:

8 0

3 years ago

Please help ASAP brainliest.

lisov135 [29]

Answer:

$\left[\begin{array}{cc}2&8\\5&1\end{array}\right]$

Step-by-step explanation:

The transpose of a matrix $M^T$ is one where you swap the column and row index for every entry of some original matrix $M$ . Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation $p_{i,j}$ and $p^T_{i,j}$ to refer to the entry in the i-th row and the j-th column of the matrices $P$ and $P^T$ respectively:

$p_{1,1}=p^T_{1,1}=2\\p_{1,2}=p^T_{2,1}=5\\p_{2,1}=p^T_{1,2}=8\\p_{2,2}=p^T_{2,2}=1\\$

Constructing the matrix $P^T$ from those entries gives us

$P^T=\left[\begin{array}{cc}2&8\\5&1\end{array}\right]$

which is option a. from the list.

Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!

7 0

3 years ago

Multiply the number the number of minutes mr frotout spent on long distance calls by .45 the long distance rate then add 33 the

lara [203]

Answer:

0.45m + 33

Step-by-step explanation:

We are instructed to multiply the number the number of minutes Mr. Frotout spent on long distance calls by 0.45 the long distance rate then add 33 the flat monthly charge.

Assuming the number of long minutes spent on long distance calls by Mr. Frotout to be $m$ , we can express the given situation as follows:

$0 . 4 5 m + 3 3$

7 0

4 years ago

HELP!! Full Question in picture

drek231 [11]

a. The value of x is 7

b. The measure of ∠1 is 99°

<h3>Calculating angles </h3>

From the question, we are to solve for x

From the given diagram, we can write that

m∠NMQ + m∠MQN + m∠QNM = 180° (Sum of angles in a triangle)

From the given information,

m∠NMQ = 5x +19

m∠MQN = 8x -11

m∠QNM = 11x + 4

Then,

5x + 19 + 8x -11 + 11x + 4 = 180

Collect like terms

5x + 8x + 11x = 180 - 19 + 11 - 4

24x = 168

∴ x = 168/24

x = 7

Hence, the value of x is 7

b.
Measure of ∠1 + m∠QNM = 180° (Sum of angles on a straight line)

∴ Measure of ∠1 = 180° - m∠QNM

But m∠QNM = 11x + 4

∴ m∠QNM = 11(7) + 4

m∠QNM = 77 + 4

m∠QNM = 81°

Then,

Measure of ∠1 = 180° - 81°

Measure of ∠1 = 99°

Hence, the measure of ∠1 is 99°

Learn more on Calculating angles here: brainly.com/question/25716982

#SPJ1

5 0

2 years ago