The cylinder above has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder above? (Use 3.14 for .)

Answer: Well if you were going to think of a circle you can divide it into 4 equal sizes in one of the is equal to two pentagons and a half. If you add all is equal to a loop full of pentagons [which makes 10 pentagons]. Because the ring is made out of regular pentagons, we can work out that each of the interior angles of each pentagon is 108* degrees. By extending the lines that two pentagons share, assuming they will all meet in the middle, it will create a triangle. As we know each angle of a [regular] pentagon is 108* degrees, we know the two base angles of the triangle would equal to 72** which leaves the top angle to be 36 degrees. As [the sum of] angles at a point is 360 degrees, and 36 is divisible by 360, it will make a complete ring. Also, as 360 ÷ 36 = 10, we know that the ring will be made out of 10 pentagons. as formula to calculate the the size of a interior angle of a polygon is (n×180−360)÷n (for n being the number of sides that the polygon has). because the triangle is made by extending the lines, and angles on a line is 180 degrees, 180−108 (an interior angle of a pentagon) =72.

Answer:

8x+6

Step-by-step explanation:

1/2[4x + 6(2 + 2x)]

Work inside out

Distribute inside

1/2[4x + 12 + 12x)]

Combine like terms

1/2[16x +12]

Distribute

8x+6

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[tex]\sf{ }[/tex]

x=width of pool

2x=length of pool

the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4

the area of this rectangle minus the area of the pool is 196 square feet

(2x+4)(x+4)-(x)(2x)=196

2x^2+4x+8x+16-2x^2=196

combine similar terms

12x+16=196

12x=196-16

12x=180

x=180/12

x=15 feet is the width of the pool

check: 34*19-30*15=196

646-450=196

196=196

Answer:

Step-by-step explanation:

Answer:

65%×80=52

(80-52=28) no of classmates who liked sports

75%×64=48

(64-48=16) no of relatives who liked sports

no of classmates who liked sports - no of relatives who liked sports

= 28-16 = 12

Hence, 12 more of her classmates like sports as compared to her relatives

There are total 4 more of her classmates like sports as compared to her relatives.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the information given in the question,

Total number of students surveyed = 80

Percentage of students who like sports = 75%

So,

(80 × 65)/100

= 5200/100 = 52

Total number of Relatives = 64

Percentage of relatives who like sports = 75%

So,

(64 × 75)/100

= 4800/100 = 48

Then, the number more of her classmates like sports compared to relatives will be:

52 - 48

= 4

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Answer: 5/2

Yes it has to be 5/2

Answer:

5/2

Step-by-step explanation:

Answer:

The Answer is 0.03

Step-by-step explanation:

Andrea = 3.12/8 flower per cupcake

   3.12/ 8 = .39

Corey = 2.25/ 7 flower per cupcake

   2.25/ 7 = .36

So Corey's recipe needs

( 0.39 - 0.36) = 0.03  flower per cupcake

Answer:

y = -x-2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = mx-2

Using the point (2, -4)

-4= m(2) -2

Add 2 to each side

-4+2 = 2m-2+2

-2 =2m

Divide by 2

-2/2 = 2m/2

-1 =m

y = -1x -2

y = -x-2

Answer:

y=-x-2

Step-by-step explanation:

Since we know two points on the graph (2,-4) and (0,-2) we can find the slope because slope= change in y over change in x. By doing so, we can see that the slope is -1. We know that y=mx+b and m is slope and b is y-intercept so we have all the variables needed. y=-1x-2 or y=-x-2.

Answer:

A

Step-by-step explanation:

7a+5b-3a+4b

first rearrange

7a-3a+5b+4b

4a+9b

Answer:2 and 3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer: D(2.8a-12a-3.6

hope that helped <3

Answer:

c

Step-by-step explanation:

Answer: 3

Step-by-step explanation: I think

Answer:

-(x^5)/3+2x^4+(23/3)x^3+8x^2+36x

Step-by-step explanation:

The polynomial is - 1/3(x-9)(x)(x-2i)(x+2i)(x+3)=-(x^5)/3+2x^4+(23/3)x^3+8x^2+36x

Answer:

See explanation

Step-by-step explanation:

From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.

The question is incomplete; so, I will give a general explanation.

The rule for 90 degrees rotation about the origin is:

[tex](x,y) \to (-y,x)[/tex]

For instance:

A point (4,6) will become (-6,4) after rotation.

Answer:

1.) 10

2.) 14

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a,b,c are the same thing just in different forms so d is the right one.

also a is suppose to be a/1 i think for question d

Answer:

[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]

Answer:

The gradient (slope) is -4.

Step-by-step explanation:

Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3).  As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8.  Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.

Answer:

5 spaces

2×(-5)=-10

Answer=10

Step-by-step explanation:

Answer:3

Step-by-step explanation:

looks like 3

Answer:

c = 4n

Step-by-step explanation:

The total cost (c) is going to be of the 4 notebooks together

We don't know how many notebooks Greg got, so it's represented by n.

It doesn't matter how many notebooks Greg purchased, because each of them were $4.

So to represent the total cost of the notebooks, you would write c = 4n

Answer:

a...............

Step-by-step explanation:

125.00 ÷ 2

Answer:

-3

Step-by-step explanation:

math

Answer:

-3

Step-by-step explanation:

Adding -3 to 3 makes the sum equal to 0:

3 + (-3) = 3 - 3 = 0

Answer:

a. 640 kernels

b. 3 pounds

Step-by-step explanation:

a:

Total kernels = 16 * 50 = 800

White kernels = 800 * 0.2 = 160

Yellow kernels = 800 * 0.8 = 640

b:

1 ear weight = 0.25 pounds

12 ears weight = 12 * 0.25 = 3 pounds

a. The number of kernels which are yellow is 640.

b. The amount of kernels will be 3 pounds.

An expression is a combination of symbols, variables, numbers, and operators that represents a value or a computation. It can consist of constants, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more.

Expressions can be simple or complex, involving multiple terms and operations. They are commonly used in mathematics, computer programming, and symbolic logic to represent calculations, equations, and relationships between quantities.

a:

Total kernels = 16 x 50 = 800

White kernels = 800 x 0.2 = 160

Yellow kernels = 800 x 0.8 = 640

b:

1 ear weight = 0.25 pounds

12 ears weight = 12 x 0.25 = 3 pounds

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The sales tax rate = 5.29%

"Tax rate = (Tax amount / Price before tax) × 100% "

"Tax amount = Final price - Price before tax"

For given question,

Olivia pays $189 for a painting, including tax.

⇒ Final price = $189

The actual price of the painting is $179.50

⇒ Price before tax = $179.50

Using the formula of tax amount,

⇒ Tax amount = Final price - Price before tax

⇒ Tax amount = 189 - 179.50

⇒ Tax amount = 9.5

Now we find the sales tax rate.

Using the formula of tax rate,

⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%

⇒ Tax rate = [tex]\frac{9.5}{179.50} \times 100~\%[/tex]

⇒ Tax rate = 5.29%

Therefore, the sales tax rate = 5.29%

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Answer:

first one, [2.5, 3]

Step-by-step explanation:

2a + 3 [tex]\geq[/tex] 8

2a [tex]\geq[/tex] 8 - 3

a [tex]\geq[/tex] 5/2

a [tex]\geq[/tex] 2.5

if we put a =2 .5 in the equation

2a +3 [tex]\geq[/tex] 8

2(2.5) + 3 [tex]\geq[/tex] 8

5+3 [tex]\geq[/tex] 8

8 [tex]\geq[/tex] 8

which is true.

if we put a = 3 in the equation

2a + 3 [tex]\geq[/tex] 8

2(3) +3 [tex]\geq[/tex] 8

6+3 [tex]\geq[/tex] 8

9 [tex]\geq[/tex] 8

which is also true.

Explanation:

The altitude to the base of an isosceles triangle meets the base at right angles, dividing the triangle into two right triangles. The hypotenuse of each of these triangles is one of the congruent sides of the isosceles triangle, so the hypotenuses are congruent. The altitude is congruent to itself, so comprises congruent legs of the right triangles.

The right triangles are congruent to each other by the HL congruence theorem. The remaining side of each of the right triangles is part of the base of the original isosceles triangle. Those sides are congruent by CPCTC, so the altitude meets the base at its midpoint. Hence the altitude to the base is a median of the isosceles triangle.

__

Here's the same argument with vertices defined.

Define isosceles triangle ABC such that AB≅AC. Define altitude AD⊥BC. Then ΔADB and ΔADC are right triangles with AB≅AC and AD≅AD. Then ΔADB≅ΔADC by the HL theorem, and DB≅DC by CPCTC. Hence D is the midpoint of BC, and AD is a median.

Answer:

8

Step-by-step explanation:

56/7 = 8