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The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

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Answer:

b. 132°

Step-by-step explanation:

The volume of the prism in the attached figure is calculated to be

672 m³

In the given problem, the formula used for volume of prism is

= area of base * height

Assuming a triangular base

area of triangular base = 1/2 * base * height

where

base = 12 m

height = 14 m

area of triangular base = 1/2 * 12 * 14

area of triangular base = 84 m²

The volume of the prism with a triangular base

volume of the prism = area of triangular base * height

where

area of triangular base = 84 m²

height = 8 m

volume of the prism = 84 * 8

volume of the prism = 672 m³

The volume of the prism is solved to be 672 m³

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Answer:

125 square units

Step-by-step explanation:

YYWW :)

Answer: 27

Step-by-step explanation:

Answer:

I think it would be 10 inches but I am not sure

Answer:

112

Step-by-step explanation:

8 players time 14 teams = 112

8*14=112

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

The answer is 3 and 7.

Step-by-step explanation:

Answer:

x =  1

Step-by-step explanation:

Answer:

hope this helps you out good luck

Answer:

Warmer than

Step-by-step explanation:

.......................

Answer:

warmer than

Step-by-step explanation:

-1.2°F is colder because the lower you go the colder you get

Answer: 7.083

Step-by-step explanation: all you have to do is divide 85 by 12 since there are 12 inches in one foot :)

Answer:

-15

Step-by-step explanation:

That's the answer because

-15+4=-11

-15+4=-11-11<-7

Answer:

If I'm not wrong, angle O should be 62°!

Step-by-step explanation:

since triangle MON and triangle DAY are equal, if we add 75° and 43° it would be 118°. We then subtract 118° from 180° and it should be 62°. :)

Answer:

43

Step-by-step explanation:

measure angle M = measure angle D = 75

measure angle O = measure angle A = 43

measure angle N = measure angle Y = 180 - (43 + 75) = 62

and each angle of MON corresponds to that of DAY

Answer: In the expression (3)(0.2)³(0.8)5, the value that represents the number of successes is 0.8.

This value is associated with the probability of success in the given expression, usually represented as "p" in a binomial distribution.

0.8 is probability of success

(0.8)5 represents number of successes.

It is important to note that 0.8 is a probability of success which means the probability of getting a success outcome in a single trial, and (0.8)5 is the probability of getting five successful outcomes in five trials.

Step-by-step explanation:

There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.

Steps to solve the inequality:

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Answer:

(E) - About 95% of all random samples of 30 wealthy customers from this population would result in a 95 percent confidence interval that captures the population mean happiness rating.

Step-by-step explanation:

The correct answer is (E). When we select a random sample from a population and use it to construct a confidence interval, the confidence level tells us what proportion of all such random samples we can expect to give confidence intervals that will capture the population parameter.

Answer:

y = x + 1/3

Step-by-step explanation:

We know

You drank x ounces of juice and someone drank 1/3 more than what you think

Let's y represent the total, we have the equation

y = x + 1/3

Answer: 4/3x (or 1/3 + x, since your wording's pretty odd)

Step-by-step explanation:

i can't tell if the one-third you're referring to is a third of how many ounces of juice you drank (meaning it will change if you drank 1, 2, 3 oz of juice and so on) or if it's always going to be a third of an ounce more than the amount of oz of juice you drank (in which case it'd be 1/3 + x). anyway just choose whichever answer you're looking for :3

Answer:

2.01 x 15 = 30.15

Step-by-step explanation:

2.01 x 15 = 30.15

or

201 * .15 = 30.15

Answer:

201 changes to 2.01 or 15 changes to 0.15

2.01 · 15 = 30.15

201 · 0.15 = 30.15

Step-by-step explanation:

Since 201 · 15 = 3015, and we want 30.15

We move the decimal two place to the left.

Since we did this on one side of the equation, we must do it on the other as well.

201 becomes 2.01. You could also change 15

15 becomes 0.15

Answer:

p = 48

Step-by-step explanation:

If p is inversely proportional to the square of q

This is written Mathematically as:

p ∝ 1/q²

p = k × 1/q²

p = k/q²

Cross Multiply

k = pq²

k = Constant of Proportionality

Step 1

We find k

When p is 3 when q was 12

k = pq²

k = 3 × 12²

k = 432

Step 3

determine p when q is equal to 3

p = k/q²

p = 432/3²

p = 48

The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18

From the question, we have the following parameters that can be used in our computation:

Expression: z − 2xy

Values: x = 3, y = -4 and z = -6

Substitute the known values in the above equation, so, we have the following representation

z − 2xy = -6 - 2 * 3 * -4

Evaluate the products

This gives

z − 2xy = -6 + 24

Evaluate the like terms in the equation

So, we have the following representation

z − 2xy = 18

Using the above as a guide, we have the following:

The solution is 18

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Answer:

(20,0) , (0,16) , (5,12) , (10,8) , (15,4)

Step-by-step explanation:

Total amount of tickets sold = 80

Per ticket price for students = 4 ; Per ticket price for non students = 5

Let no. of students be s , no. of non students be x

Equation : 4s + 5x = 80

So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20

Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16

Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)

Answer:

2s+2s

hope this helps

have a good day :)

Step-by-step explanation:

The velocity of an ant moving along the x-axis whose position is given by x(t) = 2cos(π/2 t^2) is v(t) = -πtsin(π/2 t^2) and acceleration is a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2). The ant moves in right direction in the time interval [-1, 0) and changes direction at t = 0.

(a) To find the velocity of the ant at any given time t, we need to take the derivative of the position function x(t) with respect to t. The derivative of x(t) = 2cos(π/2 t^2) is:

v(t) = -πtsin(π/2 t^2)

So the velocity of the ant at time t is given by -2πsin(π/2 t^2)

(b) To find the acceleration at any given time t, we need to take the derivative of the velocity function v(t) with respect to t. The derivative of v(t) = -πtsin(π/2 t^2) is:

a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2)

So the acceleration of the ant at time t is given by  -π²t²cos(π/2 t^2) - πtsin(π/2 t^2).

(c) To determine the values of t for which the ant is moving to the right, we need to look at the sign of the velocity function v(t) = -πtsin(π/2 t^2). Since the sine function oscillates between -1 and 1, this function will be positive when sin(π/2 t^2) is negative, and negative when sin(π/2 t^2) is positive. Moving rights means positive value of x.

Therefore, the ant is moving to the right when sin(π/2 t^2) < 0. That is

(π/2)t^2 < sin⁻¹(0)

sin⁻¹(0) = nπ, where n = ..., -2, -1, 0, 1, 2, ...

t is in interval [-1, 1] so π/2t^2 is in interval [0, π/2]

sin⁻¹(0) = 0

(π/2)t^2 < 0

Therefore t < 0

That is possible values of t is [-1, 0)

(d) To determine the values of t for which the ant changes direction, we need to look at the sign of the acceleration function a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2).

When ant change direction a(t) = 0.

-π²t²cos(π/2 t^2) - πtsin(π/2 t^2) = 0

πtcos(π/2 t^2) + sin(π/2 t^2) = 0

sin(π/2 t^2) = -πtcos(π/2 t^2)

tan(π/2 t^2) = -πt

On solving possible values of t in the interval [-1, 1] is 0.

So, the ant changes direction when t = 0.

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Answer:

[tex]4.5x - 4 = 14 \\ 4.5x = 14 + 4 \\ 4.5x = 18 \\ x = \frac{18}{4.5} \\ x = 4[/tex]

Answer: x=4

Step-by-step explanation:  4.5x-4=14

4.5x−4+4=14+4

4.5x/4.5=18/4.5

x=4

The required dimensions are solved using linear pair and vertical angle to get the result as

The value of x and y is calculated using linear pair theorem, the theorem implies that

solving for x

(3x + 5) + (x + 15) = 180

3x + x + 5 + 15 = 180

collecting like terms

4x = 180 - 15 - 5

4x = 160

x = 40

solving for y

(y + 20) + (4y - 15) = 180

y + 4y + 20 - 15 = 180

collecting like terms

5y = 180 - 20 + 15

5y = 175

y = 35

Angle AED

= 3x + 5

= 3 * 40 + 5

= 125 degrees

Angle AED = angle CEB = 125 degrees (vertical angles)

Angle DEB

= x + 15

= 40 + 15

= 55 degrees

Angle DEB = Angle AEC = 55 degrees (vertical angles)

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Answer:

6) 2nd option

7) 1st option

8) [tex]\sqrt{576} = 24[/tex] in

Answer:

Q6. A = s²

Q7. s = √A

Q8. 24 inches

Step-by-step explanation:

Q8.

√576 = 24in.

a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

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