The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?

Answer:

[tex] \: [/tex]

Step-by-step explanation:

It is given that, The circumference of a circle is 198 cm and we are to find the radius of the circle.

[tex] \: [/tex]

To find the radius of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_{(circle)}}}}}}} \: \: \bigstar \\ \\ [/tex]

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 \times 3.14 \times r \: =198}}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ \: 6.28 \times r \: =198}}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ r \: = \frac{198}{6.28} }}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 31.528 }}}}} \\ \\ [/tex]

Therefore,

Answer:

b) 70.6

Step-by-step explanation:

To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6

[tex]( 7 . 3^{6} ) ^{4}[/tex]Answer:

= [tex](7^{-3--2}[/tex] x [tex]3^{-8--2} ) ^{-4}[/tex]

= [tex](7^{-1}[/tex] x [tex]3^{-6}) ^{-4}[/tex]

= [tex]( 7^{1}[/tex] x [tex]3^{6}) ^{4}[/tex]

= [tex]7^{4}[/tex] x [tex]3^{24}[/tex]

OR

= [tex](\frac{3^{-8} }{7 . 3^{-2} }) ^{-4}[/tex]

= [tex](\frac{1}{7 . 3^{6} } ) ^{-4}[/tex]

= [tex]( 7 . 3^{6} ) ^{4}[/tex]

= [tex]7^{4}[/tex] x [tex]3^{24}[/tex]

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

The vector difference u -v can be represented on a vector diagram by the sum u +(-v), where -v is a vector the same length as v, but in the opposite direction.

__

This sum is shown in the attachment.

Answer:

3. -1/3  ± 2i√5 / 3

Step-by-step explanation:

3x^2 + 2x = -7

Divide through by 3:

x^2 + 2/3 x = -7/3

Completing the square:

x^2 + 2/3 x + (1/3)^2 = -7/3 + (1/3)^2

(x + 1/3)^2 = -7/3 + 1/9

(x + 1/3)^2 = -20/9

x + 1/3 =  ±√(-20) / 3

x + 1/3 = ± 2√-5/3

x  = -1/3  ± 2i√5 / 3

Answer:

11/14-2/10=41/70=0.58

Answer:

The answer is 12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Option B will be the best option.

Answer:

Each pencil costs 50 cents

Step-by-step explanation:

Step 1:  Determine the price per unit

(Price of Items) / (Amount of items)

($3) / (6)

$0.5

Answer:  Each pencil costs 50 cents

Answer:

6a + 6b

Step-by-step explanation:

Use  Distributive property: a( b +c) =(a *b) +(a*c)

6(a + b) = 6*a + 6*b

            = 6a+ 6b

Answer:

Lower Left!!

Step-by-step explanation:

Because Gina doesn't have the total price, that makes it the unknown or "?" answer, with the price before tax obviously $300.00, and the tax being 8%. Therefore, it's the lower left option.

Step-by-step explanation:

p(p-q) - q(q-p)

p²-pq - q² +pq

p² - q²

Choice 1

Answer:

it's 460 I think, because the last number is a five so if it's over a five you round up

circumference= 3.14m

the radius of the circle

Circumference of a circle = 2πr

Given, circumference = 3.14 meters

Therefore:

2πr = Circumference of a circle

2πr = 3.14

2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14]

6.28r = 3.14

r = 3.14/6.28

r = 0.5

Answer:

Step-by-step explanation:

f(-6) is the corresponding number of -6 and you can spot it on the y-axis

Answer:

  6076π ≈ 19088.3 cubic units

Step-by-step explanation:

The volume of a cylinder is found using the formula ...

  V = πr²h

__

For the given dimensions, the volume is ...

  V = π(14²)(31) = 6076π ≈ 19088.3 . . . cubic units

Answer:

first one is correct second one is 6 and third one is 2 and a half

Answer:

If one counts the blocks on the graph from the school to the stadium and back, there are three blocks one way and three blocks going back.

Altogether 6 blocks.

If Catelyn lives halfway between the park and the school, the amount of blocks is 5.

She lives halfway between.  Hence, what is 5 divided by 2?

2.5 or 2 1/2 blocks.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

Make a very crude diagram of what these points look like. You will find that

That gives you a hint about how to find the Length and width.

Givens

From (-8,-3) and (-3, 3) L = -8 - -3 = - 5

From (-8,6) and  (-8,3) w = 6 - 3 = 3

Solution

The length cannot be minus 5. The way to get around that is to call it and absolute value of (-5) which is 5

So the area = L*W

area = 5 *3

area = 15

Answer

Area = 15

Answer:

y= .45x + 11/3

Step-by-step explanation:

Those points are not on the same line but you can get pretty close with

y= .45x + 11/3

Answer:

1 trapezoid

2 triangle

3 rectangle

Answer:

14.9 %

Step-by-step explanation:

2  = double

2 = ( 1+ i)^5       i  = interest in decimal   5 = years

i = .149   = 14.9 %  

Answer:

1,080 square inches

Step-by-step explanation:

27 inches * 40 inches = 1,080 square inches

Answer:

To round 376.77 to the nearest dollar consider the tenths’ value of 376.77, which is 7 and equal or more than 5. Therefore, we have to round the amount up: the dollar part of 376.77, 376, increases by 1 to 377, and the decimal point and all digits (.77) are removed.

Step-by-step explanation:

Answer:

c)20 1/4

Step-by-step explanation:

[tex]9x^{2}y^{-2}[/tex]

If We replace x by -3 and y by 2 we get  :

[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}[/tex]

Or we have :

[tex]\left( -3\right)^{2} =9\ \text{and} \ \left( 2\right)^{-2} =\frac{1}{2^{2}} =\frac{1}{4}[/tex]

then

[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}=9\times9\times\frac{1}{4} = \frac{81}{4}[/tex]

on the other hand :

[tex]\frac{81}{4} =\frac{80+1}{4} =\frac{80}{4} +\frac{1}{4} =20+\frac{1}{4}=20\frac{1}{4}[/tex]

Answer:

he gained 188 kobo for selling 200 oranges or 192 if the trader selled the oranges for 8 kobo

Step-by-step explanation:

The house will cost approximately $246,359.85 seven years from now.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

In this problem,

P = $140,000

r = 0.07

n = 1 (compounded annually)

t = 7.

Plugging in these values.

A = $140,000 (1 + 0.07/1)^(1 x 7)

A = $140,000 (1.07)^7

A = $246,359.85

Therefore,

The house will cost approximately $246,359.85 seven years from now.

Learn more about compound interest here:

https://brainly.com/question/13155407

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