Two isosceles triangular prisms were joined at their bases to form the composite solid shown. The width of base of both
prisms is 6 units

What is the surface area of this composite solid?
104
122
158
208

Answer:

1) 5×5×5

2) False

3) False

Step-by-step explanation:

5³ basically means 5 is multiplied thrice, i.e

5 × 5 × 5

4² = 4×4 = 16

4² is 16, not 8

(-3)² = -3 × -3 = 9

-(3)² = -9

Answer:

5×5×5

False

False

C. 33π in^2

Here is why:

The formula for the surface area of a cone is:

[tex]SA=\pi r^2+\pi rl[/tex]

We can plug in the numbers from the picture, but we will keep π and not put it as 3.14, since the answer choices are in π.

[tex]SA=(\pi *3*3)+(\pi *3*8)[/tex]

[tex]SA=9\pi +24\pi[/tex]

SA = 33π

Answer is:

33π in^2

Answer:

you could have asked nicely

Step-by-step explanation:

Answer: B

Step-by-step explanation:

I guessed and I got it right

Answer:

because he cleverly confuses the trolls until dawn

Gandalf was able to save the dwarves from the trolls in The Hobbit because he cleverly confuses the trolls until dawn.

Read related link on:

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Answer:

1/3

Step-by-step explanation:

there are 2 numbers greater than 4 on dice and there are 6 numbers on a die

Answer:

86%

Step-by-step explanation:

1) divide 2750 by 3201 to get a part/whole ratio for a percent

2) divide and get 85.91%

Answer:

x = 85.9%

Step-by-step explanation:

Step 1:  Make an equation

[tex]3201 * x = 2750[/tex]

[tex]3201x = 2750[/tex]

Step 2:  Divide both sides by 3201

[tex]3201x / 3201 = 2750 / 3201[/tex]

[tex]x = 0.859...[/tex]

Step 3:  Convert to percentage

[tex]x = 0.859... * 100[/tex]

x = 85.9%

Answer: x = 85.9%

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

Answer:

128

Step-by-step explanation:

Answer:

113.04 cubic inches

Step-by-step explanation:

V=π * r^2 *(h/3)

V= 3.14 * 36 * (3/3)

V = 3.14 * 36 * 1 = 113.04

Answer:

25.12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)²  + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

  = 2(x + 3)² - 18 + 1

  = 2(x + 3)² - 17 → C

Answer:

answer : C    2(x-3)²-17

Step-by-step explanation:

hello :

answer : C    2(x-3)²-17

calculate :   2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17

                  2(x-3)²-17 = 2x²-12x+1.....(right)

Answer:

I am not answering that lol

Step-by-step explanation:

Answer: 5.6

Step-by-step explanation:

5x:8=7:2

Ratio means division

So we can rewrite as

5x/8=7/2

Using cross multiply

5x×2=7×8

10x=7×8

10x=56

X=56/10

X=5.6

The value of X= 5.6

Answer:

x = 5.6

Step-by-step explanation:

Expressing the ratio in fractional form, that is

[tex]\frac{5x}{8}[/tex] = [tex]\frac{7}{2}[/tex] ( cross- multiply )

10x = 56 ( divide both sides by 10 )

x = 5.6

Answer:

it would be 20 hope this helps

Answer:

2a + b = 16

Step-by-step explanation:

You can write it as an equation and get:

2a+b-10=6

Simplify and you can get:

2a + b = 16

Any pair of values that satisfies this equation is correct.

Answer:

1.  Distribute the 3

Step-by-step explanation:

3(6+x)=24

You can do one of two things

1.  Distribute the 3

3*6+3x=24

Or

you can divide each side by 3

The only reason it is a good choice to divide each side by 3 is that 24 is divisible by 3

3(6+x)/3=24/3

6+x = 8

Either answer is an acceptable 1st step

Answer:

Acute

Step-by-step explanation:

The peak of the house forms acute angled triangle.

Answer:

70

Step-by-step explanation:

There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)

So you have:

8*7*6*5 = 1680

However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)

So we divide 1680 by 4! (4*3*2*1) to end up with 70.

You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.

Answer:

0.007

Step-by-step explanation:

( 0.006)  6 is the first significant number.

The number next to it is seven.  (0.0067) in which 7 is greater than 5.

therefore, add 1 .

the final answer is 0.007

0.006772 rounded to 1 significant figure is 0.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given,  0.006772  and we'll round this to 1 significant figure means only one digit it will have after the decimal place.

So,  0.006772

= 0.006770

= 0.00677

= 0.00680

= 0.00700

= 0.007

= 0.010

= 0.01

= 0.00

= 0.

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Answer:

d. 9.96

Step-by-step explanation:

Trust me, I kept googling this for almost an hour.

The Average of the Dinner is 20.66.

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

The data for dinner is:

18.8, 22.13, 20.79, 24.82, 16.74

The Average of the Dinner is

= ( sum of all data for dinner)/ Total Number of Dinner

As, sum of all data for dinner = (18.8 + 22.13 + 20.79 + 24.82 + 16.74)

                                                =103.28

and, Total Number of Dinner = 5

Now put the values we get

= (18.8 + 22.13 + 20.79 + 24.82 + 16.74) / 5

= 103.28/ 5

= 20.656

= 20.66

Thus, the average of the dinner is 20.66

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Answer:

Step-by-step explanation:

It would be C) 100,000

An easy way to remember this, is if your multiplying numbers that end in zero; you simply multiply the number in their 10th place together or hundredths (and so on). Then add the numbers you have in the numbers you multiplied, but it only works if both numbers have 0's and the 0's are at the end.

Ex. 60 x 50+ n

     6x5=30

        3,000

Answer:

104

Step-by-step explanation:

First, put the word equation into a numerical equation.

-4+5x=7x-212                            This is our equation

-4=2x-212                                  I subtracted 5x from both sides

208=2x                                     I added 212 to both sides

104=x                                         I divided both sides by 2

To solve the problem, we can set up an equation and solve for the variable 'x'. The number is x = -25.

To solve this problem, we can translate the given information into an equation. Let's assume the number is 'x'. The sum of -4 and 5 times 'x' is -4 + 5x. The equation becomes 3(-4 + 5x) = 7x - 212. We can simplify this equation and solve for 'x' to find the number.

First, distribute the 3 to -4 and 5x, which gives us -12 + 15x = 7x - 212. Then, combine like terms by subtracting 7x from both sides, which gives us -12 + 8x = -212. Next, add 12 to both sides to isolate the variable, resulting in 8x = -200. Finally, divide both sides by 8 to solve for 'x'. The number is x = -25.

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Answer:

78.04 square cm

Step-by-step explanation:

Area of shaded region = area of circle - Area of rectangle

[tex] = \pi \: {r}^{2} - l \times w \\ = 3.14 \times {6}^{2} - 7 \times 5 \\ = 3.14 \times 36 - 35 \\ = 113.04 - 35 \\ = 78.04 \: {cm}^{2} [/tex]

Answer:

78.04 cm^2

Step-by-step explanation:

Hope this helps!

Answer:

13,14,15

Step-by-step explanation:

Let x be the first number

x+1 is the second number

x+2 = third number

x+ x+1 +x+2 = 42

Combine like terms

3x+3 =42

Subtract 3 from each side

3x+3-3 = 42-3

3x = 39

Divide each side by 3

3x/3 = 39/3

x = 13

The numbers are 13

13+1 =14

13+2 = 15

Answer:

13,14,15

Step-by-step explanation:

What three consecutive integers have a sum of 42? Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

Answer:

This is not an equation, so m's value cannot be determined.

Step-by-step explanation:

Answer:

20260

Step-by-step explanation:

The area of the side lengths is base (75) * slant height (97.5) * 1/2 *4 = 14635

The area of the base is 75^2 = 5625

Add them together ot get 20260

Answer:

the answer is a

Step-by-step explanation:

Answer:

a. x=-1/3   y=2

b. x=-166  y=34

c. x=16/3   y=-1/9

Step-by-step explanation:

The answer is -1 or d, because -1 1/2 and 3/2 are equal, except for the fact that -1 1/2 is negative.

Answer:

plz insert the graph, ill revise my answer

Step-by-step explanation:

Final answer:

The volume of the cylinder is 1580.64 cubic inches.

Explanation:

To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.

In this case, the radius, r, is 6 inches and the height, h, is 14 inches.

So, the volume is calculated as follows:

V = π(6²)(14) = 3.14(36)(14) = 1580.64 cubic inches.