Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.

Answer:

X is 72 i think

Step-by-step explanation:

all triangle equal 180, triangle formula bxh/2, so i did that and got 72.

Answer: y = ± [tex]\frac{4}{3}x[/tex]

Step-by-step explanation:

Just believe it, it's the right one. I don't know how to explain it.

Answer:

Step-by-step explanation:

Remark

An amount no 9 people could consume. 114 kg is a huge amount of cooked rice. I' going to give a solution that says the rice is 114 grams of rice and see what happens.

Givens

rice =        114 grams

veggies = 500 grams

meat     =  410 grams

Solution

Add the givens

114

500

410

Total = 1024 grams

If 9 people are going to be present, (I assume that includes Tara), then each person will get 1024 / 9 = 113.8 which is none of the choices. There is something wrong with the problem. I would suggest you ask your teacher how this is done.

Answer

None of those given

Answer:

Vertical Reflection Apply a reflection over the line y=-1 The procedure to determine the coordinate points of the image is the same as that of the previous example with minor differences in that the change will be applied to the y-value and the x-value stays the same.

Step-by-step explanation:

Answer: 68850

Step-by-step explanation:

interest = 765000(3/100x3)

= 68850

if your finding total cost add 765000 + 68850 = 833850

The value of x in the diagram is : 75°

An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.

Analysis:

Since GF = EF

∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)

∠FGE + ∠FEG + ∠GFE  = 180°( sum of angles in a triangle)

(x - 18)° + (x-18)° + 66 = 180

2x -36 + 66 = 180°

2x + 30 = 150

2x = 180 - 30

2x = 150°

x = 150/2 = 75°

In conclusion, the value of x in the diagram is 75°

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Answer:

The angle is acute. This type of angle must be between 0° and 90°, and Orla's estimate is not.

Answer:

D.f(x-2)

g is f shifted to the right by 2. So, f(x-2) is the correct answer.

Hope this helps!!!

Please mark me as brainliest!!!

Answer:

There are a total of 144 students in soccer training.

Step-by-step explanation:

12x5=60

60-12=48

48=4/5

4/5=1/3

1/3 = 48

48x3= 144

Answer:

Option d

Step-by-step explanation:

The zeroes of given function can be obtained from graph when the graph intersects at x axis

Answer:

sale price

Step-by-step explanation:

price of an item that is being offered at a lower price than usual

The probability that a student chooses drama as an elective is 7%.

Probability is the study of the odds of obtaining each outcome of a random experiment. These odds are assigned the real numbers in the range between 0 and 1. Results closer to 1 are more likely to occur.

In this case, we can call:

So, the information given was:

The formula will be:

P(A or D) = P(A) + P(D) - P(A and D)

So:

[tex]20\% = 15\% + P(D) - 2\%\\P(D) = 20\% - 15\% + 2\%\\P(D) = 7\%[/tex]

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Answer: Е

Step-by-step explanation:

▪︎ a^2 - b^2 = (a-b)(a+b)

sin^2(2x) = 1

sin^2(2x) - 1 = 0

(sin2x - 1)(sin2x + 1) = 0

sin2x - 1 = 0 or sin2x + 1 = 0

sin2x - 1 = 0

sin2x = 1

2x = 90° + 360°n

x = 45° + 180°n

▪︎180° means half of the unit circle, therefore,

x = 45° + 360°n and

x = 45° + 180° + 360°n = 225° + 360°n

sin2x + 1 = 0

sin2x = -1

2x = 270° + 360°n

x = 135° + 180°n

therefore,

x = 135° + 360°n and

x = 135° + 180° + 360°n = 315° + 360°n

n is an integer

The histogram first represents the smallest variance option first is correct.

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have four histograms shown in the picture.

As we know in a histogram, the curves that resemble hills show groupings of statistics that are close collectively, leading to low variation.

Whenever the taller bars are farther away from the mean in a histogram, the variability is greater, and when the taller bars are closer to the mean, the variability is less.

In the histogram first, there is very less variability.

Thus, the histogram first represents the smallest variance option first is correct.

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Answer:

10

Step-by-step explanation:

48-20=28

28-18=10

that is how I see it at least

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{4}\\ \end{cases} \\\\\\ c=\sqrt{7^2 + 4^2}\implies c=\sqrt{65}[/tex]

Answer:

$288

Step-by-step explanation:

468 ÷ 26 = 18

so $18 per hour times 16 hours would give you $288, your right

Answer:

172.8 m^2

Step-by-step explanation:

7.2/2 = 3.6

3.6*4.8 = 17.28

17.28*10 = 172.8

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\bf\:tan \: Z= \frac{4}{3}}[/tex]

Step-by-step explanation:

We know that, tan θ = opposite side of ∠θ / adjacent side of ∠θ.

Here, we need to find tan Z,

In this triangle for ∠Z,

Then,

tan Z

= opposite side / adjacent side

= 28 / 21

= 4 / 3

[tex]\rule{150pt}{2pt}[/tex]

The correct value of z in this figure is 190⁰

The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.

– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.

145 + 24 + z = 360⁰

– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.

145 + 24 + z = 360⁰

170 + z = 360⁰

z = 360⁰ - 170

z = 190⁰

So, the value of z, will be 190⁰

Answer:

c=__ and a=__

Step-by-step explanation:

767.50=1.25(c)+2.25(a).

366=c+a

normally from here, I would just guess the number of adults and children. It does take a while doing it that way, but maybe you know a quicker way. Hope this helps :)

Answer:

d is the answer

Step-by-step explanation:

y=mx+b

m being the slope and b being the y intercept

Answer:

B': (-8,2)

C':(-8,9)

D':(-5,4)

Step-by-step explanation:

If im wrong pls tell me!

Considering the definition of combination, she could choose 190 different pairs of team.

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following formula is applied:

[tex]C=\frac{m!}{n!(m-n)!}[/tex]

The term "n!" is called the "factorial of n" and is the multiplication of all numbers from "n" to 1.

Ms. lewis has 20 students in her p.e. class. She puts each student's name in a hat and will select the names of 2 students at random as team leaders for a volleyball game.

So, you know that:

Replacing in the definition of combination:

[tex]C=\frac{20!}{2!(20-2)!}[/tex]

Solving:

[tex]C=\frac{20!}{2!18!}[/tex]

C= 190

Finally, she could choose 190 different pairs of team.

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Answer:

[tex](-4, -\frac{1}{2} )[/tex]

Step-by-step explanation:

A (-5, -4)

B (-3, 3)

We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]

[tex]= (-4, -\frac{1}{2} )[/tex]

hope this helped! :)

Answer:

13 m

Step-by-step explanation:

5m + 8m = 13m

The answer is 13m as both of them are like term and can be added....

The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

[tex]P=\dfrac{27}{50}\\[/tex]

The probability of not getting a head or getting a tail is,

[tex]P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}[/tex]

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

[tex]P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}[/tex]

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

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Answer:

[tex](x+1)^{2} +4[/tex]

a = 1

b = 4

Step-by-step explanation:

hope this helps!! p.s. i really need brainliest :)