What is the volume of the composite solid?

Answer:

Length of diagonal paper is 5.15 inch.

Step-by-step explanation:

Please refer to the images attached.

As per the cylindrical image, we have radius given as 2 inches.

Height as 3.5 inches - 0.25 inches = 3.25 inches

If we look closely, we actually have a right angled triangle whose

Base = 2+2 = 4 inches

Height = 3.25 inches

And we have to find the hypotenuse of triangle:

According to pythagoras theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]

[tex]\text{ Diagonal}^{2} = 4^{2} + 3.25^{2}\\\Rightarrow 16 + 10.5625\\\Rightarrow 26.5625\\\Rightarrow \text{Diagonal = }5.15\ inch[/tex]

Hence, Length of diagonal paper required is 5.15 inch.

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

Answer:

1.b = 7500[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

Number 1 Answer: 1.b = 7500\sqrt{3}

Step-by-step explanation:

Answer:

Cluster sampling

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

To find the mean add all the values and divide by the amount of values and when you add everything up it is 14 and dividr by 5 to get 2.8

Answer:

P_1st year   =  P0 x (1 + r/n)               = P0 x (1 + r/n)^1

P_2nd year =  P0 x (1 + r/n) (1 + r/n)  = P0 x (1 + r/n)^2

...

P_n year      = P0 x (1 + r/n)^n

Hope this helps!

:)

Answer:

C. 448 square centimeters

Step-by-step explanation:

38+18/2(16)

=448 square centimeters

:3

Answer:

The answer is 4^2 (-16)

Step-by-step explanation:

The answer is 3/8

because 2/4 × 2 = 4/8

7/8 - 4/8 = 3/8

Answer:

3/8 of a mile more

Step-by-step explanation:

2/4=4/8

7/8-4/8=3/8

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

Answer:

6

Step-by-step explanation:

36:    2 2 3 3  

78:    2   3   13

GCF:    2   3  

2x3=6

hope this helps

Answer:

y = 90°

Step-by-step explanation:

y + x = 110° because the sum of two interior angles is equal to an interior angle

x + 70° = y ➡ y - x = 70°

y + x = 110°

y - x = 70° add two equations

2y = 180° (x eliminated -x)

y = 90°

Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

Answer:

First table: y=x+5

Second table: y=x+3

Step-by-step explanation:

Subtract the x value from y to find the relationship between the two numbers.

Hope this helps!

Answer:

Y=X+5        Y=X+3

Step-by-step explanation:

2+5=7

3+5=8

4+5=9

5+5=10

6+5=11

0+3=3

1+3=4

2+3=5

3+3=6

4+3=7

Answer:

quadrilateral

Step-by-step explanation:

bc they all have 4 sides...... some one correct me if I am wrong ......bit not in a rude way

Answer:

72% of students chose burritos

Step-by-step explanation:

first you would add up the total of kids that said they liked the other two options, which was pizza and sandwiches: 10+4=14

then you would take that number and subtract it from the total of all students: 50-14=36

and then you would take that number and divide it by 50: 36/50=.72

turn that into a percent and you'd get 72%

Answer: 16.1

Step-by-step explanation:

x^2 = 8^2 + (28/2)^2

x^2=64 + 196

x^2= 260

Take the square root of 260 and get 16.1!

The value of x is x=16.1

The perpendicular from the center of a circle bisects the chord

A line from the center of the circle to the circumference of the circle is the radius of the circle

Lets connect the center of the circle to the other end of the chord that is at the circumference of circle

The diagram attached below

The line OA from the center bisects the chord

AB= half of 28 = 14

the triangle AOB forms a right angle triangle

apply Pythagorean theorem to find out the value of x

[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]

The value of x is 16.1

Learn more information about 'perpendicular line ' here

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Answer:

1. Z =  1.75

2. False Positive

Step-by-step explanation:

1. mean = 1750 calories

standard deviation, sd = 200 calories

value of interest, x = 2,100

z-score is computed as follows:

Z = (x - mean)/sd

Z = (2100 - 1750)/200

Z =  1.75

2. A false positive happens, when a negative case is detected as a positive case

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

Learn more here: https://brainly.com/question/20548958

Answer:

Undefined

Step-by-step explanation:

A slope is found using the formula rise (change in y) over run (change in x). The change in x is 0, and the change in y is -2. The answer is -2/0, but dividing by 0 gives you undefined. Don't believe me? Look at the attached image.

Hope this helps!

Answer:

Undefined

Step-by-step explanation:

Use the formula:

[tex]m=\frac{y+2-y_1}{x_2-x_1}[/tex]

Plug in the numbers/coordinates accordingly:

[tex]m=\frac{6-8}{2-2}[/tex]

[tex]m=\frac{-2}{0}[/tex]

m = undefined

When x = 0, the slope is undefined.

Answer:

I believe the answer is 37.5 (37 1/2)

Step-by-step explanation:

First you convert 7 1/2 to a decimal to make it easier (7.5) then multiply 7.5 by 5 to get 37.5 , then you convert that back to fraction which would be 37 1/2

Hope this helps!!

The area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have length of the room = 7 1/2 = 15/2 inches

Width of the room = 5 inches

Area of the room = (15/2)(5) = 75/2 square inches

Scale: 1/2 in = 1 ft

1/4 square inches = 1 square ft

1 square inches = 4 square ft

= (75/2)×4

= 150 square ft

Thus, the area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

Learn more about the rectangle here:

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Answer:

I believe it is C

Step-by-step explanation:

Hope this helps

and if it at all possible and you mark me brainlyest please

Answer:

5 pts isnt a lot but ok.. and yes it is c

Step-by-step explanation:

Answer: 4,772.8 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate measures of the rectangular label:

The width of the label is equal to the height of the can (8 cm), and the length is equal to the perimeter of the top or bottom of the can.

Perimeter of a circle (circumference): 2 π radius

Replacing with the values given:

C = 2 (3.14) 5 = 31.4 cm

So, the area of one label is:

Area of a rectangle: length x width = 31.4 x 8 = 251.2 cm2

Multiplying for the number of labels (19)

251.2 x 19 = 4,772.8 cm2

Feel free to ask for more if needed or if you did not understand something.

Answer:

Wednesday, #3 : 8x + 54

Step-by-step explanation:

First, sorry this the one I really knew fast.

-2 (-6x -9) -4x (x + 9)

12x + 18 - 4x + 36

8x + 54

Answer:

Tuesday, 1: 30 pounds

Tuesday, 2: 40% of the apples

Tuesday, 3: x ( or any variable) + 8

Tuesday, 4: 9a-3b

Step-by-step explanation:

Since she weighs 38% of the normal weight, you multiply the decimal form to the original weight, which is 78. So .38 multiplied by 78 is 29.64, and rounding it to the nearest pound would make it go up to 30.

38%=.38

.38 x 78=29.64

29.64 rounded = 30

If 3/5 of the apples are ripe, that means that 2/5 are not. An easy way to turn this fraction into a percent is to make the number out of 100. Since 5 x 20 is 100, you multiple both the numerator and denominator by 20. 2 x 20 is 40, 5 x 20 is 100, hence 40/100. The numerator will be the percentage.  

5/5-3/5 = 2/5

2/5 x 20/20 = 40/100

40/100 = 40%

The unknown score would become a variable, and since its increasing by 3 it is +8.

Since the perimeter is adding all sides, you'd add all of the equations. The 3a's times 3 would be 9a, and the -b would become -3b.

3a - b + 3a - b + 3a - b

9a - b - b - b

9a - 3b

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

Answer:

By finding the y- intercept in the graph.

Step-by-step explanation:

This is the only point in the graph that is on the y axis.

Answer:

1.61 * 10 ^8

3.3    * 10^-7

Step-by-step explanation:

Multiply the numbers  and then add the exponents

2.3 * 10^1  * 7 * 10^6

2.3 *7     * 10^(1+6)

16.1    * 10^7

We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent

1.61 * 10 ^8

Multiply the numbers  and then add the exponents

1.1* 10^-5    3*10^-2

1.1 *3     * 10^(-5+-2)

3.3    * 10^-7

Answer:

1. B

2. C

Step-by-step explanation:

1. 2.3 × 10¹ × 7 × 10⁶

2.3 × 7 × 10^(1+6)

16.1 × 10⁷

1.61 × 10⁸

2. 1.1 × 10^-5 × 3 × 10^-2

1.1 × 3 × 10^(-5-2)

3.3 × 10^-7

Answer:

length of arc=2r+teete ×2πr

360

2×13+155°×2×22×13

360. 7

26+155°×572

360. 7

26+88660

2520

88686

2520

35.404

Answer:

1 3/5

Step-by-step explanation:

Flip the small triangle around to make it look like the big triangle. Find the ratio between triangles (2/5 = .4). .4 is the ratio. Multiply 4 (the side corresponding with x) by .4. You will get 1.6. 1.6 is the same as 1 3/5.