18. Find the surface area of the prism.​

Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs

Given Data

Total surface area of cylinder = 2πr(r + h)

TSA of 1 mug = 2*3.142*2(2+3.75)

TSA of 1 mug = 12.568(5.75)

TSA of 1 mug = 72.266 square inches

if the total surface area of one mug is 72.266 square inches

hence the total surface area of 4 mugs will be

= 72.266*4

= 289.064 square inches

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Answer:

30x + 18

Step-by-step explanation:

Using distributive property, you can find the answer like so.

Multiply 6 and 5x first

6(5x + 3)

30x + 3

Now multiply 6 by 3

6(5x + 3)

30x + 18

Hope I explained this well to you. :)

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

[tex]\frac{4}{7} =\frac{10}{x}[/tex]

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: [tex]w*l[/tex]

So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]

We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

[tex]c = 2 \pi \: r[/tex]

[tex]c = 2 \times 3.14 \times 14.5[/tex]

[tex]c = 91.06[/tex]

Answer:

2nd option - 45.53 inches

Step-by-step explanation:

Circumference of a circle when given the diameter is given by the formula :

[tex]\pi d[/tex]

Since we are given a certain value for pi we use that and multiply it by the diameter to given the cirumference:

3.14 × 14.5 in  =

45.53 inches

Therefore our answer is 43.53 inches (the 2nd option)

Answer:

19 ducks are NOT WINNERS
There is a 76% CHANCE that you will not choose a winning duck, so it is VERY LIKELY that you will choose a duck that is not a winner.

Step-by-step explanation:

Answer: 1.) 19 rubber ducks are not winners

2.) There is a 76% chance of not choosing a winning duck

1.) Step-by-step explanation: 25 times 0.24 equals 6, 25-6=19

2.) 0.24 is equal to 24% and 100-24= 76 so 76% chance of not choosing a rubber duck

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

Answer:

-2

Step-by-step explanation:

In the expression  [tex]8xy + 9x^2y -5x -2[/tex]

Therefore, the constant term is -2

Answer: -2  is the constant term in the expression 8xy + 9x2 y − 5x − 2

Step-by-step explanation:

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

the expression 8xy + 9x2 y − 5x − 2

now, we know that,

constant is the number with no variable attached to it.

-2  is the constant term in the expression 8xy + 9x2 y − 5x − 2.

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

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Answer:

9*9+40*40=41*41

Step-by-step explanation:

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

Step-by-step explanation:

Successive magnification:

In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.

ANSWER

I believe that the amount of the instant rebate is $30.  X represents the price of the bike, and 0.09 is the sales tax.

So if the bike cost $100:

0.09(100) + (100-30) = 9 + 70 = $79

Although I think I would want them to tax the bike after the instant rebate and not on the original price.

If I'm wrong about the instant rebate then it would be 1.09x-30.  Hope this helps.

Answer:

It's friday for me so here u go

Step-by-step explanation:

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Answer: the answer is 55 degrees

Step-by-step explanation:

Answer:

960 people.

Step-by-step explanation:

x = 0.6x + 384

x - 0.6x = 384

0.4x = 384

x = 384 / 0.4 = 960.

Answer:

81.25

Step-by-step explanation:

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2).

A rhomboid is a quadrilateral with two pairs of sides of equal length and two pairs of equal angles. A kite is a rhomboid whose vertices observe the following properties: [tex]P_{1} (x, y) = (-x, 0)[/tex]. [tex]P_{2} (x,y) = (0, y)[/tex], [tex]P_{3}(x,y) = (x, 0)[/tex], [tex]P_{4}(x,y) = (0, -y)[/tex].

In this question we must determine the coordinates of the fourth vertices according to the kite characteristics. After a quick comparison in the known points, the coordinates of the fourth vertex are E(x,y) = (0, -2).

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2). [tex]\blacksquare[/tex]

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Answer:

a, 1/4

b, 75%

Step-by-step explanation:

a, total mins meant to be played = 80mins

mins being played = 20mins

fraction of the match being played = 20 /80 = 1/4

b, percentage of the match left to be played

= 80 - 20 = 60

then we find the fraction of the match meant to be played

60 / 80 = 3 /4

then we multiply by 100 to get the percentage

3/4 × 100 = 75 %

if this helped pls give brainliest

Answer:

[tex]8x\sqrt{3xy[/tex]

Step-by-step explanation:

The answer is: No, the random condition is not met.

Answer:

4x+20=31

Step-by-step explanation:

So one hour of bowling is 20 dollars and they bowled for one hour hence the 1x20 which is equal to 20. That is the base coast we add to the variable of x that is the cost of renting one pair of shoes. And since they rented 4 pairs of shoes you multiply x by 4 to get 4x. Add the 20 dollars they paid to bowl and it is 4x+20. They paid 31 dollars in total so equal the equation to 31. 4x+20=31. Solution is $2.75 per pair of shoes. (If you want an explanation as to how to get the answer, just ask

Answer:

JM = 5 mm

Step-by-step explanation:

Δ JMK is the right angled triangle ⇒ JM² = JK² + KM²

JM² = 3² + 4²

JM = 5 mm

Answer:

1:5

Step-by-step explanation:

divide by 20 on both sides, 5 : 1.

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

Divide the area by the side length to find the length of the other side:

227.9/5.3 = 43 m

now calculate the perimeter:

43 + 43 + 5.3 + 5.3 = 96.6m

Answer: 96.6m

Answer:

96.6 m

Step-by-step explanation:

Let the length of the other side b x m .

Then the area = 5.3 * x

227.9 = 5.3x

x = 227.9 / 5.3

= 43 m

So the perimeter = 2 * (width + length)

= 2(5.3 + 43)

= 2 * 48.3

= 96.6 m

Using proportions, it is found that the rate of water flow was of 6 miles per hour.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying cross multiplication:

10x = 60

x = 60/10

x = 6.

Hence, the rate of water flow was of 6 miles per hour.

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