The horizontal cross-sectional shapes of the given prism are all congruent.

The arc length of the sector will be 15.7 inches. Then the correct option is A.

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The diagram is given below.

r = 3

θ = 5/3 π

Then the arc length will be

Arc = (5/3 π/2π) 2π x 3

Arc = 5/3 x π x 3

Arc = 15.7 inches

Then the correct option is A.

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Answer: C.

Step-by-step explanation:

Answer:

C) v = 10u u + 10 

Step-by-step explanation:

Answer:

q-22=24. Hope this helps.

Step-by-step explanation:

22 less than a number, meaning 22 is subtracted FROM an unknown variable. Going by this you would add 22 on both sides, giving you an answer of 46.

Answer

The answer is 46. q minus 22 = 24: Add 22 to both sides.

Step-by-step explanation:

''Twenty-two less than a number is twenty-four''

The equation q -22 = 24 because a number [q] less than [22] is [24]

Therefore, the answer is 46.

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

Answer:

904.78

Step-by-step explanation:

I think, I hope this helps!!

Answer:

D. 15 feet, 7.5 square feet

I got it right on edge

Answer:

6- 9in

7- B

8- D

9-C

10-C

Step-by-step explanation:

Answer: There were 89 retail stores in 1997.

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the number of years since 1990(x).

1997-1990 = 7 years

Now, we simply substitute x=7 (years) in the equation given

y=11x+12

y=11(7)+12

y=77+12

y = 89 retail stores

There were 89 retail stores in 1997.

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

Answer:

x = -5

y = -2

Step-by-step explanation:

Since you have y, plug that into the equation:

-2x - 7y = 24

-2x - 7(-2) = 24

-2x + 14 = 24

Then, subtract 14 from both sides:

-2x + 14 = 24

      - 14   - 14

__________

-2x = 10

Finally, divide both sides by -2:

-2x = 10

x = -5

So now you have, x = -5 and y = -2.

Answer:

Yes

Step-by-step explanation:

4<10

which is true therefore it is a solution

Yes, (3, 4) is a solution of y < 4x – 2.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

y < 4x – 2

for (3,4),

we get,

4<10

which is true therefore it is a solution.

hence, Yes, (3, 4) is a solution of y < 4x – 2.

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Answer:

Coordinates of original figure:

(-9, 2), (-9, 7), (-7, 6), (-5, 8), (-6, 5)

Coordinates of new figure:

(1, 2), (1, 7), (-1, 6), (-3, 8), (-2, 5)

Plot these points. Then connect them to form the reflected figure.

Answer:

Negative

Step-by-step explanation:

i don’t know

Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

Answer:

x=5.35

Step-by-step explanation:

2x - 1.7 = 9

2x - 1.7 + 1.7 = 9 + 1.7

2x = 10.7

2x/2 = 10.7/2

x=5.35

Hope this Helps :)

The solution of the equation 2X-1.7 = 9 is x=5.35

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

For example, 3x – 5 = 16 is an equation.

Given is an equation, 2x-1.7 = 9 we need to solve for x,

2x - 1.7 = 9

2x - 1.7 + 1.7 = 9 + 1.7 [addition property of equality]

2x = 10.7

2x/2 = 10.7/2 [division property of equality]

x=5.35

Hence, the solution of the equation 2X-1.7 = 9 is x=5.35

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Answer:

(320/6t)+20

Step-by-step explanation:

Answer:

$24.50

Step-by-step explanation:

Answer:

your answer will be 24.50

Answer:

37 degree

Step-by-step explanation:

AB = 180 it is a straight line

ACD = 90 degree

DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.

DE = 53 deg

DCB = 90-53= 37 degree

g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.

Without additional information, such as a diagram or specific measurements, we can't solve the presented problem. The problem seems to involve Properties of Intersection and possibly Trigonometry. Further details or a specific diagram are needed for an accurate solution.

I'm sorry, but without additional information, such as a diagram, specific measurements, or the relationship involving variable 'g', we cannot solve the problem you've presented. Segments AB, EF, and CD intersecting at point C and angle ACD being a right angle, doesn't indicate how or where 'g' is related to these elements within your problem.

The principle that you seem to be dealing with is the Properties of Intersection and possibly the concepts of Trigonometry.

Should 'g' be an angle, trigonometry might be used to find its value. If 'g' is a segment, then concepts of intersection, parallel lines, or angle properties might solve it. Nevertheless, please provide further details or a precise diagram for an accurate solution.

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Answer: X>X & -4+x>-2+X

Step-by-step explanation:

Answer: A & C

Step-by-step explanation:

EDGE 2023

Answer:

V = 3239

Step-by-step explanation:

The volume formula for a regular hexagonal prism is 3√3/2a^2h when you input the values you get 3238.74, rounded to the nearest whole number you get 3239, the student most likely used the radius of the hexagon in the equation instead of the height.

Please mark as brainliest :)

Answer:

volume is 3,439 cm

Step-by-step explanation:

The volume formula for a regular hexagonal prism is 3√3/2a^2h when you input the values you get 3238.74, rounded to the nearest whole number you get 3239, the student most likely used the radius of the hexagon in the equation instead of the height.

I hope this helps

Answer:

Incomplete question, check attachment for diagram of the question

Step-by-step explanation:

Given that,

AD = 20cm

DC = 15cm

BC = 7cm

AB = 24cm

Since the shape consist of two right angle triangle,

Then, we will find the area of each triangle and add them together to find the area of the quadrilateral ABCD

Area of a triangle can be calculated using

A = ½b×h

Then,

For triangle 1, its area is

A_1 = ½ × DC × AD

A_1 = ½ × 15 × 20

A_1 = 150 cm²

Fro triangle 2

A_2 = ½ × BC × AB

A_2 = ½ × 7 × 24

A_2 = 84 cm²

Then, the total area is

A = A_1 + A_2

A = 150 + 84

A = 234 cm²

Area of the quadrilateral ABCD is 234cm²

Answer:

Step-by-step explanation: it’s 234 no cap

Answer:

22

Step-by-step explanation:

Subtract 2.5 to -3 to get -5.5 and then divide that to -0.25 to get 22.

Answer:

2 1/2 hours

Step-by-step explanation:

multiply their rate by the number of hours

4*2=8

2*2=4

We want them to both equal 15 when added together

8+4≠15

So it's not 2 hours

So now our next answer choice is 2 1/2 hours

Ok that's easy, we can still use what we did from the last answer choice (2 hours)

Since it says 1/2 that means we can multiply the rate by 0.5 or divide it by 2

4/2=2

2/2=1

2+1=3

Now we add that to 8+4

8+4=12

2+1=3

12+3 = 15

Now that we've gotten 15 we know the rest of the answers are incorrect.

Answer:

y = x + 12

Step-by-step explanation:

y= x+ 12 is the only one that does no represent the relationship because it adds x to 12, instead of multiplying x by 12, which would accurately represent the relationship

-7 -5 / 4 -2 / -12/2

-12/2 = -6

Slope: -6x

5 = 2(-6) + b

5 = -12 + b

-12 + 17 = 5

Slope intercept Form: y = -6x + 17

The equations is the variable isolated

A variable is an alphabet or phrase that stands in for an unknowable quantity, value, or number. Particularly in the case of algebraic expressions or algebra, the variables are utilised.

Given:

We know when we find the value of variable we need to isolate the variable.

We have given some equations, the isolated variable means only the variable on one side of the equal.

So, among the Equation only x = 9/2 + 4 has isolated variable x.

The other parts have some number or other quantities along with variable.

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Answer:

W=50cm

Step-by-step explanation:

160000=80*W*40

Divide both sides by 80

2000=W*40

Divide both sides by 40

50=W

W=50

Final answer:

The equation representing the widget production relationship between Sam (S) and Mary (M) is S = 5M - 3, where Sam makes 5 times the widgets as Mary, but needs to stop for a few minutes during which Mary makes 3 widgets.

Explanation:

The question is asking us to create an equation that represents the relationship between Sam's and Mary's widget production per hour.

Since Sam manufactures 5 times as many widgets as Mary does, we know that Sam's production, S, is equal to 5 times Mary's production, M.

However, Sam needs to stop for a few minutes every hour during which time Mary makes 3 widgets.

This means we need to subtract those 3 widgets from Sam's total production to represent the time he is not working.

Therefore, the correct equation that represents this relationship is: S = 5M - 3.

This is because for every hour, Sam's production is 5 times Mary's, minus the 3 widgets Mary produces while Sam is taking a break.

Answer:

y = 4[tex](2)^{x}[/tex]

Step-by-step explanation:

An exponential function in standard form is

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

Use ordered pairs from the table to find a and b

Using (0, 4), then

4 = a [tex]b^{0}[/tex] ( note that [tex]b^{0}[/tex] = 1 ), so

a = 4, then

y = 4 [tex]b^{x}[/tex]

Using (1, 8)

8 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 2

y = 4 [tex](2)^{x}[/tex] ← represents the values in the table

Answer:

Step-by-step explanation:

Coastal areas are a focus of conservation efforts:  because they support a variety of wildlife. They are also important for a number of migrating species. The loss of coastal habitats, therefore, affects a number of different species, causing conservationists to focus on their preservation.

Conservation can be defined as a process of preserving resources, habitats, culture, species etc.

conservation is very  important as it ensures the sustenance of a valuable or rare material.

In conclusion, coastal areas are a focus of conservation efforts:  because they support a variety of wildlife. They are also important for a number of migrating species. The loss of coastal habitats, therefore, affects a number of different species, causing conservationists to focus on their preservation.

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