A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.

Answers

Answer 1

Answer:

The height is 7 inches

Step-by-step explanation:

Given

[tex]Base\ Area = 15in^2[/tex]

[tex]Volume = 105in^3[/tex]

Required

Determine the height [missing from the question]

The volume of a hexagonal prism is:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

[tex]Height = \frac{105in^3}{15in^2}[/tex]

[tex]Height = \frac{105in}{15}[/tex]

[tex]Height = 7in[/tex]


Related Questions

Can someone explain this to me

Answers

Answer:

[tex]\huge\boxed{\sf tan \ 28 = x / 14}[/tex]

Step-by-step explanation:

Since opposite and adjacent is given, we will use tan as trigonometric ratio.

Hence,

opposite = x , adjacent = 14 and [tex]\theta[/tex] = 28

So,

[tex]\sf tan \theta = opposite / adjacent[/tex]

tan 28 = x / 14

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

someone please tell me how to work out this type of problem i completely forgot

Answers

Answer:

Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.

Step-by-step explanation:

For x = -5:  y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)

For x = -2:  y = -3 - 2 * (-2) = 1, so the coordinates are (-2, 1)

(Etc.)

Then, plot these coordinates and draw a line through them to complete the graph.  

Which is the correct solution to the cubic equation,
3/ 3x-2=1

-3
-1
1
3

Answers

Answer:

x = 1

Step-by-step explanation:

[tex]\sqrt[3]{3x - 2} = 1[/tex]        Cube both sides of the equation

3x - 2 = 1

3x = 3

x = 1

Check:  [tex]\sqrt[3]{3(1) - 2} = \sqrt[3]{3 - 2} = \sqrt[3]{1} = 1[/tex]   Since x = 1 makes the original equation true, then x = 1 is the solution.

The correct solution for the given equation is x = 1.

What is an equation?

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

Given is a cubic equation, [tex]\sqrt[3]{3x-2}[/tex] = 1

Solving for x,

[tex]\sqrt[3]{3x-2}[/tex] = 1

Cubing both the sides,

([tex]\sqrt[3]{3x-2}[/tex])³ = 1

3x - 2 = 1

3x = 3

x = 1

Hence, the correct solution for the given equation is x = 1.

Learn more about equations, click;

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what is 500 times 10​

Answers

Answer:

500*10=5,000

hope this helps

Answer:

5,000

Step-by-step explanation:

please correct me if im wrong

Can someone help me, please? Also, can someone explain it?

Answers

Answer:60m^2

Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60

1) Using the image to the right, which of the following pairs of lines are parallel? A. a||b B. c||d C. a||d D. a||c HELP PLEASE

Answers

Answer:

C

Step-by-step explanation:

Answer:

c 100 percent

Step-by-step explanation:

Question :
25+25 -25 = ____​

Answers

Answer:

25+25-25=25+0=25 is your answer

Answer:

25 +25-25=25

Have a nice day!

A quadratic in factored form is given as (x + 5) (2x - 3) = 0, what are the solutions of this given equation?
X = and x =

Answers

Answer:

x = -5, x = 1.5

Step-by-step explanation:

If the two expressions multiplied together is 0, that means that one of the expressions would have to equal 0. This gives us two possible answers. Our two equations are now:

x + 5 = 0

2x - 3 = 0

We will first solve the first one!

To isolate x, we subtract 5 from both sides to get:

x = -5

Onto the second one!

We begin to isolate x by adding 3 to both sides.

2x = 3

Now we divide both sides by 2.

x = 3/2 or 1.5

Answer:

Step-by-step explanation:

if a wind turbine costs 1.3 million per megawatts how much would it cost to build a 2.6 megawatts wind turbine​

Answers

Answer:

It would cost 3.38 million for 2.6 megawatts.

Step-by-step explanation:

1.3 X 2.6 = 3.38

3.38 million for 2.6 megawatts.

The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t is the number of days. a. Is this function growth or decay? b. What percent is the bacteria decreasing by each day? c. How many grams of bacteria will there be in 1 week? d. After how many days will there be half the initial amount of bacteria left?

Answers

Answer:

Step-by-step explanation:

a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.

b. The bacteria is decreasing by 75% per day exponentially.

c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A

A = 200(0.75)^7

A = 26.7 bacteria after 1 week

d. In order to calculate this we need to substitute the variable A with 100 and solve for t

100 = 200(0.75)^t   ... divide both side by 200

0.5 = 0.75^t

[tex]\frac{ln(0.5)}{ln(0.75)}[/tex] = t

2.4 = t

It will be half the initial amount after 2.4 days.

write the ratio in simplest form

30/55​

Answers

Answer:

6:7

Step-by-step explanation:

Hope it helps

#CARRY ON LEARNING

6/11

The numerator and denominator can each be divided by five. Once the denominator has been divided by five, it is now prime. That is as far as you can go.

What is the volume of a square pyramid with a base area of 36 and a height of 9 cm?
o 36 cm
o 108 cm
o 18 cm
o 324 cm

Answers

Answer:

D (108)

Step-by-step explanation:

I did test

The volume of a square pyramid with a base area of 36 and a height of 9 cm is 108 cm. The correct option is B.

What is pyramid?

A pyramid is a polyhedron with triangular faces that meet at a common vertex and a polygonal base.

The name of the pyramid is determined by the shape of the base. A pyramid with a square base, for example, is called a square pyramid; a pyramid with a triangular base, a triangular pyramid; and so on.

The formula to find the volume of a square pyramid is given by:

V = (1/3) x base area x height

Substituting the given values, we get:

V = (1/3) x 36 x 9

V = 108

Thus, the correct option is B.

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HELP ME PLEASE!
The graph below shows a line graphed through the points

Answers

Answer:

The answer is C.) y = 2x + 5

multiple choice question pls help!

Answers

pretty sure it's 18

Help needed quick. I attacked the picture plz look

Answers

Answer: 55.3 is the correct ans

area of parallelogram=b*h

=7*7.9

=55.3

The area of a circle is 0.5024 square centimeters. What is the circle's radius?

Answers

r≈0.4cm
A Area
Hope this helps

Can anyone help me with these questions? I am sorry if they aren’t a lot of points.

Answers

Answer:

Question 1: A

Question 2: B

Question 3: C

Step-by-step explanation:

Please give me brainliest if this helps! :)

find the function. f(-7) if f(x) = 8x+15
f(-7) =
-4?
7
0 ​

Answers

Answer:

-41.

Step-by-step explanation:

Replace the x by -7:

f(-7) = 8(-7) + 15

= -56 + 15

= -41.

A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time period?

The rate of change in profit for this time period is per month.

Answers

Answer:
Rate of change of profit for this period = $2750 / month

Explanation

11. Cory owns x shoes. Nico has y shoes. The
number of shoes Cory owns is 1 less than 2 times
the number Nico owns. Together they have a total of
11 pairs of shoes. How many shoes does Cory and
Nico have each?

Answers

Answer:

5 and 6

Step-by-step explanation:

Answer: Cory owns 7 shoes, Nico owns 4.

Angle
& angle
Fill in all the missing angles in the picture.
are a vertical angle pair.
& angle
are an alternate interior
Angle
pair
are an alternate
Angle & angle
exterior pair
Angle
& angle
are a linear angle pair.
29°
are a corresponding
Angle & angle
angle pair

Answers

Answer:

hope this helps

Step-by-step explanation:

Angle _1_and angle _4_ are vertical angle pairs.

Angle _4_ and angle _5_ are an alternate interior pair.

Angle _2_ and angle _6_ are alternate exterior pair.

Angle _1_ and angle _2_ are a linear angle pair.

Angle _2_ and angle _7_ are corresponding angle pair.

what is the measure of angle 1 ? pls i need help ​

Answers

This is a chord, chord angle problem.

Angle 1 = (50 + 56)/2. This leads to 53 degrees.

Answer:

58

Step-by-step explanation:

(50 + 56)/2 = 116/2 = 58

Graph the following exponential function given the table of
values.

Answers

Answer:

D

Step-by-step explanation:

Here, we want to select the graph of the given exponential function values

Let us take a look at the y-intercept

At the y-intercept, the value of x is 0

The y-intercept for this particular equation is 1

This mean that the y-intercept value is 1

hence, the graph will touch the y-axis at the point y = 1

looking at the graphs , only the graph D provides this, and that should be our answer

PLEASE HELP!
For what values of x are the following expressions equal to each other:
the trinomials 3x^2 - 4x +3 and x^2+x+1

Answers

Answer:

x = 0.5, 2

[or 1/2, 2 if you want in fractions)

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

x=2

X=1/2 or 0.5

Step-by-step explanation:

First of all , i transfer every thing that was in the right side to the left side of equation and put 0 instead of them , then factor the new equation out by grouping them .

Good luck , hope it was helpful .


If the line segment at right is subdivided
into equal parts, what is the length of
the marked portion of the line?
75

Answers

Answer:

50

Step-by-step explanation:

75 dived into 3 parts can also be written as 75/3. 75/3 is 25 making each part worth 25. 2 segments are included in the marked portion so its 50 or (25 + 25)

Find m∠E

*geometry problem*

Answers

8x+4=9x-5
when you solve that out you get x =9
then you plug in x everywhere in the chart

3(9)=27
9(9)-5=76
180-76-27= 77°

angle E =77°

please mark brainiest if you can

HELP PLEASE!! No websites allowed please, complete 1,2,3, and 4.

NO WEBSITES! OR YOU ARE REPORTED thank you

Answers

Answer:

1: 31.5. 2: 5. 3: 4.6 4: 45

9/3
Streak
8 20th
3970
If you save $800 in the bank with an interest rate of 4%, how much money will you
have at the end of 5 years?

Answers

Answer:

$960

Step-by-step explanation:

Given data

Principal=$800

rate= 4%

time= 5years

Applying the compound interest expression we have]

A=P(1+rt)

substitute

A=800(1+0.04*5)

A=800(1+0.2)

A=800*1.2

A=$960

someone pls just comment something again​

Answers

Answer:

?

Step-by-step explanation:

Answer:

こんにちは、お元気ですか?

あなたの質問があれば、私もうまくやっています。日本での生活はとても楽しいです!日本に来てください。

Step-by-step explanation:

Gina bought a thumbdrive and 12 writting pads for $13y . Each writting pad cost$2 Find the cost of the thumbdrive​

Answers

Answer:

its 24 since each one cost 2$

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