A triangular prism. The rectangular sides are 8 inches by 4 inches, 8 inches by 5 inches, and 8 inches by 3 inches. The triangular sides have a base of 4 inches and height of 3 inches.
The area of each triangular base is:

A = 1/2(b)(h)   A = 1/2(4)(3)

A = in.2
There are two bases, so total base area is in.2.
The lateral area is:

A = 8(4) + 8(3) + 8(5)

A = in.2
The total surface area is in.2.

Answer:

Solution for A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible ...

Step-by-step explanation:

The ratio of white T-shirts to yellow T-shirts should be 7:4, indicating for every 7 white, there are 4 yellow.

The ratio of the number of white T-shirts to the number of yellow T-shirts should be 7:4. This means that for every 7 white T-shirts manufactured, 4 yellow T-shirts should be produced. This is simply a way of representing the proportion of white to yellow T-shirts in a simple and understandable way. Using a ratio is useful to show relative size and proportions.

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The money in the Felix's account will be $6798 when he is 21.

Step-by-step explanation:

It is given that,

To find the money in Felix's account after 21 years :

The formula used here is,

⇒ [tex]A = P(1+r/n)^{nt}[/tex]

where A is the amount after 21 years.

⇒ [tex]2000(1+0.06/1)^{21\times 1}[/tex]

⇒ [tex]2000(1.06)^{21}[/tex]

⇒ [tex]2000\times3.399[/tex]

⇒ [tex]6798[/tex]

Therefore, The money in the Felix's account will be $6798 when he is 21.

Answer:no

Step-by-step explanation:

The circumference and radius are different

The circumference and the area of the circle is same.

Step-by-step explanation:

Given,

The radius (r) of the circle = 2 ft

To find the circumference and the area of the circle.

Formula

The circumference of a circle = 2πr

The area of a circle = πr²

Now,

The circumference of a circle = 2π×2 = 4π

The area of a circle = πr² = π×2² = 4π

Hence,

The circumference and the area of the circle is same.

Answer:

6.3cm

Step-by-step explanation:

The approximate length of the minor arc DE will be 6.3 cm. Then the correct option is A.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Then the angle is subtended by the arc is 36° and the radius of the circle is 10 cm.

Then the length of the arc DE will be

[tex]\rm ARC = \dfrac{\theta }{360} \times 2\pi r[/tex]

Then we have

[tex]\rm ARC = \dfrac{36}{360} \times 2\pi \times 10\\\\ARC = 6.283 \approx 6.3\ cm[/tex]

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Answer:

1,-1

Step-by-step explanation:

Answer:

X = 1/2

Step-by-step explanation:

x2 = -69 + 70

x2 = 1

x = 1/2

Answer: {11, -11}

Step-by-step-explanation: To solve for x in this equation, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

It's important to remember however that when taking the square root of both sides of an equation, we always use plus or minus.

In other words in this problem, since x² = 121,

x = + or - 11.

A common mistake is to say that x is just equal to 11. But notice that if you plug a -11 back into the original equation, it also checks.

So our answer to this problem is {11, -11}.

Answer: either 11 or -11

Step-by-step explanation:

you have to square root both sides. Then, you are left with the equation [tex]\sqrt{x^{2} } = \sqrt{121}[/tex]. That means that x either equals to 11 or -11.

:)

Answer:

0.5 is in the middle plz give branliest

Step-by-step explanation:

The distance between the numbers is 9

so if you divide them in half, you get 4.5

add 4.5 to -4 or subtract it from 5 to get 0.5

Answer:

j=300

Step-by-step explanation:

You multiply each side by 15.

j=300

Answer:

j should equal 300.

Step-by-step explanation:

j/15=20

you have to get j by its self. what you do to one side you must do to the other.

j/15(15) = 20(15)

the fifteens cancel out

j=300

Answer:

The answer is C. 56

Step-by-step explanation:

So if we replace C with 56, the equation would look like this, 2(56)=112.

Answer:

360

Step-by-step explanation:

break it up into two boxes. on will be 6x8x5. the other will be 6x4x5. find the area of them apart then add it together you get

Answer:

1320

Step-by-step explanation:

cut the diagram into two parts....left rectangle and right and add together.

left

V = l x w x h

= 5 x 6 x 12

=360

right

12 x 10 x 8

=960

Yes 1 5/7 and 4 2/7 is a solution. Adding those two numbers equals 6 because 5/7 + 2/7 = 1, then you have 4 + 1 +1 = 6

Two other solutions to x + y = 6 are any combinations of numbers when added together equal 6.

x = 5, y = 1

and

x = 2, y = 4

Answer:

1/4

Step-by-step explanation:

5/20

Divide the top and bottom by5

1/4

Answer:

the equation is y = (-2/15 in/min)x + 43 in

Step-by-step explanation:

We'll represent elapsed time with the letter t.  Then 12 p.m. corresponds to t = 0 sec.  Between 12 p.m. and 12:15 p.m., the change in time was 15 min and the change in water depth was (45 - 41) in., or 4 in.

Thus, the water depth changes by 4 in (a decrease) over 30 min.  

Part A:  The water depth rate of change is -4 in/30 min, or -2 in/15 min, or

(-2/15 in)/min (the depth is decreasing).

Part B:  We need to derive a linear function that describes the water depth at any given time x (or t).  Two points on the graph of this line are

(15 min, 45 in) and (35 min, 41 in):  the 'run' is 30 min and the 'rise' is -4 in.

As in Part A, the slope of this line is (-2/15 in)/min.

The desired equation is then y = mx + b, or 45 in = (-2 in/15 min)(15 min) + b, or 45 in = 2 in + b, or  43 in = b.  Then, in its most general form,

the equation is y = (-2/15 in/min)x + 43 in

Answer:

6¾

Step-by-step explanation:

¾ * 9/1 = 287/4

27/4=6 ¾

which equals 6.75

Answer:

That statement is true which relates to what activity was taken by most of the students of different categories in that particular group during the summers.

Step-by-step explanation:

A two-way frequency table (likewise called a possibility table) is a valuable instrument for inspecting connections between downright factors. The passages in the cells of a two-way table can be frequency checks or relative frequencies (simply like a single direction table). Two-way frequency tables show what number of information focuses fit in every classification.  

Assume you direct a review where you pose every individual two inquiries. When you have wrapped up the overview, you will have two bits of information from every individual. At whatever point you have two bits of information from every individual, you can arrange the information into a two-way frequency table.

Answer:

all false

Step-by-step explanation:

n > -5

{-5, -5.5, -6}   False cannot = -5  ( all are greater than or equal to -5)

{-5, -4.5, -3)   False cannot = -5

{-6,0,5}   False cannot = -6

{-6, -7,-8}False  these are less than -5

Answer:

The Nile River is 2,200 miles longer than the Rio Grande.

Step-by-step explanation:

4100-1900=2200

Answer:

Answer:

The Nile River is 2,200 miles longer than the Rio Grande.

Step-by-step explanation:

4100-1900=2200

Step-by-step explanation:

Answer:

the correct answer is A and B

Step-by-step explanation:

i found this by guessing on the question and getting it correct. Also yeet leave five stars and and thanks if u are a swaglord with drip unknown to human kind.

The theoretical probability of landing heads up is less than the experimental probability of landing heads up. Statement 2 is true.

Jacob flipped a coin and got heads 68 times and tails 32 times. The total number of flips is not given, so we cannot determine the exact probability of getting either heads or tails. However, we can make some statements about the experimental and theoretical probability based on the information given.

The theoretical probability of landing heads up is 0.5 or 50%, assuming the coin is fair and has two equally likely outcomes. The experimental probability of landing heads up is 68/(68+32) = 0.68 or 68%, which is greater than the theoretical probability of 50%. Therefore, the statement "The theoretical probability of landing heads up is less than the experimental probability of landing heads up" is false.

The theoretical probability of landing tails up is also 0.5 or 50%, assuming the coin is fair. The experimental probability of landing tails up is 32/(68+32) = 0.32 or 32%, which is less than the theoretical probability of 50%. Therefore, the statement "The experimental probability of landing tails up is less than the theoretical probability of landing tails up" is true.

We cannot compare the experimental probability of landing heads up with the experimental probability of landing tails up without knowing the total number of flips. Therefore, the statement "The experimental probability of landing heads up is less than the experimental probability of landing tails up" may or may not be true.

The experimental probability of landing heads up is 0.68 or 68%, and the theoretical probability of landing heads up is 0.5 or 50%. Therefore, the statement "The experimental probability of landing heads up is equal to the theoretical probability of landing heads up" is false.

In summary, statement 2 is true and statements 1, 3, and 4 are false.

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Answer:

D.) 12x -6x 90

Step-by-step explanation:

because it's right angle

Answer:

24y

Step-by-step explanation:

y*y*y = y^3 (y to the power of 3)

3*2*4 = 24

then your left with 24 times y^3 which is 24y^3

Hope this helps!

The expression 3 x y x 2 x y x 4 x y when simplified is 24y³

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

3 x y x 2 x y x 4 x y

Evaluate the product of similar variables

So, we have

3 x y x 2 x y x 4 x y = 24 x y x y x y

Evaluate the remaining product of similar variables

So, we have

3 x y x 2 x y x 4 x y = 24y³

Hence, the product is 24y³

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Answer: The domain for real numbers

Step-by-step explanation: taking it right now

The domain for both functions g(x) and f(x) is all real numbers. Then the correct option is C.

The domain means all the possible values of the x.

The exponential function g(x) is shown on the graph.

Suppose f(x) = x.

Then the domain of the function g(x) is a real number.

And the domain of the function f(x) is also a real number.

Then the domain for both functions is all real numbers.

More about the domain link is given below.

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Answer:

too compelx illegal

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

the average of 9, 8 , and 7 is 8

The upper quartile for the weights of six puppies, arranged in ascending order and given as 5, 5, 6, 7, 8, 9 ounces, is found by averaging the 4th and 5th points, resulting in 7.5 ounces.

The question seeks to find the upper quartile of the weights of six puppies, which are given in ounces as 8, 5, 7, 5, 6, and 9. To find the upper quartile, step-by-step explanation is necessary. First, we arrange the data in ascending order: 5, 5, 6, 7, 8, 9.

There are 6 data points, so to find the upper quartile (Q3), which divides the top 25% of data from the rest, we identify the data point that falls 3/4th of the way through the dataset. When there are 6 data points, Q3 is calculated by averaging the 4th and 5th data points ((7+8)/2 = 7.5). Therefore, the upper quartile of the data is 7.5 ounces.

Answer: The triangular prism container  is a better deal.

Step-by-step explanation:

Hi, to answer this question we have to calculate both containers volume and compare them.

Rectangular prism volume = base area x height

Replacing with the values given:

V = 36 x 5 = 180 cubic inches

Triangular prism volume = base area x height  

V = 32 x 6 = 192 cubic inches

The triangular prism container has more volume, so it can hold more popcorn.

Answer:

This is the standard form. Nothing else can be done with answer. Maybe your question was asking for something else.

Step-by-step explanation:

5y² + 2xy – 20x - 100

Step-by-step explanation:

Assume that the distance between City A and City B is x miles,

& the speed of the plane from City A to B is y mph;

The return trip is 20 mph slower so the plane's speed is (y – 20) mph

Since time = distance/speed; The time taken by the plane from City A to B is x / y hrs.

The time taken in return flight is;

x / (y - 20) hrs

The layover was 5hrs long. Therefore the total time taken on the who return trip journey is;

x/y  +  x/(y-20)  + 5

multiply each individual fraction with the LCM of the denominators

x(y-20) + xy + 5 y(y-20)

xy -20x +xy + 5y² – 100

5y² + 2xy – 20x - 100

Step-by-step explanation:

it means 13 tables have 6 chairs

and 7 tables have 4 chairs

so

total chairs in the cafeteria= 13×6 + 4×7 = 78+28=106