What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 3 units, and c = 6 units?

A. 90 cubic units
B. 60 cubic units
C. 45 cubic units
D. 180 cubic units

Pleaseee help and explain!!!!!

Answer:

24416.64 cubic centimeters

Step-by-step explanation:

The equation for the volume of a sphere is [tex]V=4/3\pi r^3[/tex]. The radius given is 18cm and we are instructed to use 3.14 instead of pi, so our equation will be [tex]V=4/3(3.14)(18^3)[/tex]. Once this is multiplied out, we see that the volume of the sphere is 24416.64 cubic centimeters.

Hope this helps! :)

Answer:

I think it is 4275cm square.

Answer:

Area= 4275cm

Step-by-step explanation:

The area formula for a rectangle is length x width so if we plug in the numbers and multiply we get 4275 as our product.

The experimental (aka empirical) probability for your friend is 1/500 = 0.002 since she hit the bulls eye once out of 500 tries. This is a 0.2% chance.

To calculate the theoretical probability, we have to determine the area of each circle:

A = smaller circle area = pi*r^2 = pi*(0.25)^2 = 0.0625pi

B = larger circle area = pi*r^2 = pi*6^2 = 36pi

Divide A and B to get the theoretical probability

A/B = (0.0625pi)/(36pi) = 1/576 = 0.0017 approximately

This is fairly close to the 1/500 = 0.002 your friend got, which in my opinion means that her result is expected. She does seem a bit more skilled than expected since she managed to hit the bulls eye in 76 fewer tries (576-500 = 76). However, I would stick to the "result is expected" answer, since problems like this tend to have variability.

Answer:

15x+9

Step-by-step explanation:

f(g(x))

=f(3x+2)

=5(3x+2)-1

=15x+9

Answer:

I think you are intended to pick A as your answer. But D is a thorn. The question especially D is not worded accurately.

Step-by-step explanation:

Remark

I take it that you are asked what the relationship between a and b is. What you can say is that a and b are a linear pair if a and be have 1 leg on a ray. I will treat it that way, but you should always question whether that is true or not.

Solution

Adjacent Math meaning: Each angle has a common side and a common point where they meet. A and B are adjacent: True.

Linear Pair. True A and B are adjacent angles and they are also supplementary. So C and E are both true.

That makes D incorrect.

Answer:

56 minute 40 seconds

Explanation:

unit rate: 6 meters per minute

The elevator starts from 20 m below ground level.

So, in total have to cover distance = 20 + 320 = 340 meter

Time taken = distance/speed

                   = 340/6

                   = 56.67 minute

                   ≈ 56 minute 40 seconds

Answer:

593190 cubic inches

Step-by-step explanation:

to solve this equation you must first find out the volume of one cube

that can be modeled by 13*13*13 or more simply 13^3

13^3 = 2197

then you multiply that to 270

2197 * 270 = 593190

that is your answer

If both printers work together. Then the number of the pamphlets will be 20x in four hours.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.

The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.

Let x be the number of the pamphlets are printed by the old printer in one hour.

Then the number of the pamphlets are printed by the new printer in one hour will be 4x.

Then if they work together, then the  number of the pamphlets in one hour will be 5x.

Then the number of the pamphlets in 4 hour will be

→ 5x × 4

→ 20x

More about the Algebra link is given below.

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Answer:

a) false

b) true

c) true

Step-by-step explanation:

The y-intercept of a function is the point when x = 0

⇒ f(0) = 2|0 + 2| + 3

          = 2|2| + 3

          = 4 + 3

          = 7

From inspection of the graph, the y-intercept of g(x) is (0, 7)

Therefore, the y-intercepts of f(x) and g(x) are the same.

"f(x) has a greater y-intercept" → false

From inspection of the graph, g(1) = 6

⇒ f(-1) = 2|-1 + 2| + 3

          = 2|1| + 3

          = 2 + 3

          = 5

Therefore,  g(1) > f(-1) → true

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

From inspection of the graph:

g(0) = 7

g(3) = 4

[tex]\textsf{average rate of change of g(x)} \implies \dfrac{4-7}{3-0}=-1[/tex]

f(0) = 7  (from part (a))

f(3) = 2|3 + 2| + 3

     = 2|5| + 3

     = 10 + 3

     = 13

[tex]\textsf{average rate of change of f(x)} \implies \dfrac{13-7}{3-0}=2[/tex]

Function g(x) decreases over [0, 3] at the rate of -1

Function f(x) increases over [0, 3] at the rate of 2

Therefore, "f(x) increases at a faster rate than g(x) over interval [0, 3]" is true

**Please see the attached graph for reference**

The interval [0, 3] is shaded in grey

f(x) is shown in red

The added 2 points are f(-1) and g(1)

Answer:

--------------------------- HeyA --------------------------

Explanation :

- GiveN :

Reflection in the line y = k :

P( x , y ) ----------------------P'( x , 2k - y )

-----------------HappY LearninG <3 -----------------

Answer:

That is a rectangular prism

Step-by-step explanation:

Because I'm smart

Answer:

  160

Step-by-step explanation:

Each cube is 1/2 inch, so there will be 2 cubes in each 1 inch of length. The dimensions of the prism in terms of the number of cubes are ...

  length: 4 in ⇒ 4×2 = 8 cubes

  width: 2 in ⇒ 2×2 = 4 cubes

  height: 2 1/2 in ⇒ (2 1/2)×2 = 5 cubes

Then the number of cubes required to fill the prism is ...

  8 × 4 × 5 = 160 . . . . cubes

The volume of the prism is equivalent to that of 160 1/2-inch cubes.

Answer:

A power model would best represent the relationship because scatterplot C is fairly linear.

Step-by-step explanation:

I think that is the answer but I am not sure between option 2 and 3. I would eliminate linear models for this graph for sure.

I hope I helped you a little!

Have a nice day! :)

It's not clear what is under the square root. Is it solely the x only?

In other words, is the equation this: [tex]y = \sqrt{x}+5[/tex] ?

If so, then the range is y≥5 because y = 5 is the smallest possible output. In other words, we can have y = 5 or y > 5. I recommend using a tool like Desmos to graph and verify.

-----

OR is the +5 also under the square root?

Is the equation this? [tex]y = \sqrt{x+5}[/tex]

If so, then the range would be y≥0

The smallest output possible of a square root function is 0. We cannot get negative outputs. This explains how y = 0 is the smallest output. So y = 0 or y > 0, or in short, y≥0

The solution is, the range of the function y=√x+5 is y∈(∞,∞) is Range, from the given options y≥0.

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

we know that,

Range of a function is defined as those values of y, for which x is Defined.

The given function is

y=√x+5

Squaring both sides

we get,

y² = x+5

or, x = y²- 5

x is defined for ,all Real values of y.

For any real y,we get defined value of x.

That is , y ∈ R

→→y∈(-∞,∞)⇒Range

Hence, The solution is, the range of the function y=√x+5 is y∈(∞,∞) is Range, from the given options y≥0.

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Answer:

21

Step-by-step explanation:

To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21

Answer:

AB=20, BC=40

Step-by-step explanation:

Let AB be x

Therefore, ATQ:

x+2x=60

x=60/3=20

AB=20

And BC =2(AB)

So BC=2*20=40

The domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

The given parameters are:

The area (y) of a square of side length x is:

y = x²

Make x the subject

x = √y

When y = 9, we have:

x = √9 = 3

When y = 4, we have:

x = √4 = 2

This means that the domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

See attachment for the graph

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Answer:2,652,400

Step-by-step explanation:

Answer:

D. quadrant III

Step-by-step explanation:

Answer:

Center: (2, -13)

Radius: 5√6

Explanation:

Equation: (x - 2)² + (y +13)² = 150

Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is the center points, r is radius

Rewrite the equation:

(x - (2) )² + (y - (-13))² = (√150)²

Identify following's:

h = 2, k = -13, radius = √150 = 5√6

Answer: 270

Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer

Answer:

5.88*10^12

Step-by-step explanation:

You have to move the decimal place over 12 times and to the left, so it's positive.

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km              Cross Multiply

Solution

1.6*x = 1 * 40000                  Divide by 1.6

x = 40000/1.6

x = 25000 miles

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = 1041.66 miles per hour

Answer: 1041.66 is what is to be entered as your answer

The formula to find the perimeter of a rectangle is as follows:

[tex]P=2l+2w[/tex]

We're given:

⇒ Plug the given information into the perimeter formula and solve for l:

[tex]P=2l+2w\\63=2l+2(7)\\63=2l+14\\49=2l\\l=24.5[/tex]

Therefore, the length of the desk is 24.5 inches.

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To find :-

The value of x

Given :-

Here 2 angles are given

142°, and (3x + 22)°

Solution :-

We can see here the 2 lines intersect each other.

And the angle is formed

Since the angles are just opposite to each other so they are equal.

142° = (3x + 22)° {vertically opposite angles}

[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]

Result :-

The value of x is 40°.

Answer:

I would say that the travling time is 3.5 hours and the Stationary time would be 2.5 hours.

Step-by-step explanation:

I'm sorry if I'm worng, (Can I get brainliest??)