Volume of Composite Figure

Volume Of Composite Figure

Answers

Answer 1
68 cubic in.

Explanation:
The explanation is too long, just trust me and look at keep in mind these steps:

Separate that figure into 2 pyramids and 1 rectangular prism. Find the volume of each figure and add them all up

Keep in mind that the formula for volume of rectangular prism is length x width x height

The formula for volume of triangular prism is
1/2 x length x width x height.

Hope this helps! Comm.ent me if u have any questions

Mark me brainliest if I got this right!
-SpaceMarsh

Related Questions

624,612 rounded to the nearest hundred is

Answers

Answer:

624,600

Step-by-step explanation:

624,612

612 rounds to 600

624,600

Answer:

624,600

Step by step explanatiom:

cause math

Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x

Answers

Answer:

Which polynomial is a monomial?

O A. 2p-P

O B. 6 - 2x2 - 4x2 +45

O c. 5r283A

O D. 1 - 2x + 5x

. 5r283A

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

Answers

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]

Plug in known values

[tex]\frac{2}{300}=\frac{11}{AC}[/tex]

Cross-multiply

[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

juan carlos has two fair dice. the faces are numbered 1 through 6. if he rolls one die, which statement is true?​

Answers

please include the answer choices

Which scatterplot shows no correlation?
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together to form a curve.
On a graph, points are grouped closely together and decrease.
On a graph, points are scattered all over the graph.

Answers

Answer:

4th option

Step-by-step explanation:

As there is no clear curve or increase/decrease it is safe to assume it has no correlation

Answer:

Yup, it's D. The guy above me is right.

select the correct statement

Answers

Answer:

D 480 grams

Step-by-step explanation:

120 g ham for 2 pizzas

Divide by 2

60 grams for 1 pizza

We want 8 pizzas

60 * 8 = 480 grams

make x subject of the formula in y=2x+p​

Answers

Answer:

(y-p)/2

Step-by-step explanation:

take p to the left side. + p becomes - p. Now divide the whole thing by 2

Answer:

[tex] x = \frac{y - p}{2} [/tex]

Step-by-step explanation:

[tex]y = 2x + p \\ y - p = 2x \\ x = \frac{y - p}{2} [/tex]

if U= {1,2,3,4,5,6}, A ={1,2,3,}
B={2,3,5},and C ={4,5,6}
find (AUB)'n c

Answers

Answer:   {4, 6}

======================================================

Explanation:

A = {1,2,3}

B = {2,3,5}

A u B = {1,2,3,5}

The set A u B consists of anything in either set A or set B. This is a set union.

The complement of this is the complete opposite. So we only consider the items 4 & 6

(A u B)' = {4,6}

Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'

The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets

Therefore, (A u B)' n C = {4, 6}

The n refers to the intersection symbol.

find the length of arc AB help plz​

Answers

answer: C) 130.8
explanation: first, find the circumference of the entire circle.
circumference = 2(pi)r
2(3.14)150 = 942
next, the easiest method is to divide by the 360° of the entire circle, and then multiply by the angle of the arc (in this case is 50°)
940 / 360 = 2.6166667
2.6166667 x 50 = 130.8333
rounding to the nearest tenth, you get 130.8
Mark Brainliest please

Answer

Answer is C

Arc AB = 130.8997 ft
Explanation

When the central angle is given in degrees, the formula for the arc length is:


arc = 2πr(θ/360

arc = r·θ·pi/180

where:
s = the arc length
r = radius = 150 feet
θ = the central angle in degrees = 50°
pi = 3.14

By substitution,

The length of an arc = πrθ/180)

Length = 3.14 x 150 x 50/180

= 130.8997 ft.

Today is Leilas birthday. She is 5 years old. How old is leila in months

Answers

Answer:

60

Step-by-step explanation:

There are 12 months in a year, so 5 years×12 months=60 months.

**You may wish to revise multiplication or the calendar year. I'm always happy to help

Answer:

60

Step-by-step explanation:

The following figure shows AABC with side lengths to the nearest tenth.
24
B
130
5
Find BC in ABC!
Round to the nearest tenth.

Answers

Answer:

5.4

Step-by-step explanation:

angle A = 180 - 130 - 24 = 26

as the sum of all angles in any triangle is always 180 degrees.

a/sin(A) = b/sin(B) = c/sin(C)

with the side being always on the opposite side of the angle.

=>

5/sin(24) = BC/sin(26)

BC = 5×sin(26)/sin(24) = 5.4

A regular hexagon ABCDEF is shown……work out the size of angle x

Answers

Answer:

x=30

Step-by-step explanation:

Since this a regular hexagon, each angle measure is congruent.

A hexagon interior angles add to be

([tex]{6 - 2}) \times 180 = 720[/tex]

However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so

Angle A=120.

So using the triangle interior theorem, angle b and f must add up to 180.

[tex]120 + x + y = 180[/tex]

However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.

Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so

[tex]x = y[/tex]

[tex]120 + 2x = 180[/tex]

[tex]2x = 60[/tex]

[tex]x = 30[/tex]

The relative frequency table below summarizes a survey about support for candidate X in an upcoming
national election. In this survey, 210 randomly selected Virginians opposed candidate X.
How many people in this survey were Californians who opposed candidate X?
Does the table show evidence of an association between being from Virginia and opposing candidate X?
Choose all answers that apply:

Answers

Answer:

D.

Step-by-step explanation:

a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

The answer is D.

Step-by-step explanation:

Answer:

How many people in the survey were Californians?

- 250

Yes, because 50% of Californians support candidate X, but only 40% of all people support him.

Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.

simplify the following surd:-
1/4 √243 + √27/4

solve it with method
please hurry​

Answers

Step-by-step explanation:

1/4 √243 + √27/4 =

(¼ √81×3) + (¼ √9×3) =

9/4 √3 + 3/4 √3 =

12/4 √3 =33

the required time is 3 years.
mple 7: Find the compound interest of Rs 50,000 for 3 years if the rates of interest for
three years are 4 %, 5 % and 6 % p.a, respectively,​

Answers

Answer:

Step-by-step explanation:

For 4%

A = $56,363.59

A = P + I where

P (principal) = $50,000.00

I (interest) = $6,363.59

calculation step

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 50,000.00(1 + 0.04/12)(12)(3)

A = 50,000.00(1 + 0.003333333)(36)

A = $56,363.59

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 4% per year compounded 12 times per year over 3 years is $56,363.59.

for 5 %

A = $58,073.61

A = P + I where

P (principal) = $50,000.00

I (interest) = $8,073.61

calculation step

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 50,000.00(1 + 0.05/12)(12)(3)

A = 50,000.00(1 + 0.004166667)(36)

A = $58,073.61

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 5% per year compounded 12 times per year over 3 years is $58,073.61.

For 6 %

A = $59,834.03

A = P + I where

P (principal) = $50,000.00

I (interest) = $9,834.03

calculation step

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 50,000.00(1 + 0.06/12)(12)(3)

A = 50,000.00(1 + 0.005)(36)

A = $59,834.03

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 6% per year compounded 12 times per year over 3 years is $59,834.03.

A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"

The 95% confidence interval was (5.6, 10.2).

A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level

B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.

C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.

Answers

Answer:

A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level

Step-by-step explanation:

The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees

The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure

The 95% confidence interval obtained = (5.6, 10.2)

Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program

Kim bought a pair of jeans for $48 and 5 t-shirts. She spent a total of $158.00. How much did each t-shirt cost?

How do you write the equation?

Answers

Answer:

each t-shirt costed 22 dollars

48+ 5(x)=158

Step-by-step explanation:

158-48=110

110 divided by 5= 22

hope this helps!

please give brainist or give me a  follow if you can<3

What is the value of the dependent variable if the value of the independent variable is -4?
f(x)= -3x^2 + 5x
A. 28
В. -44
C. -68
D. 4

Answers

f(-4)= -3(-4)^2 + 5(-4)=-68
Option C is correct.
Hope it is useful!!

If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean is 0. Give the set of 3 numbers.

Answers

Answer:

{-2, -1 , 3}

Step-by-step explanation:

When we have a set like:

{x₁, x₂, x₃}

The mode is the value that appears the most, so if there is no mode, then each value appears just one time.

The median is the middle value, here we know that the median is -1, then we can rewrite the set as:

{x₁, -1 , x₃}

The mean is computed as:

Mean = (x₁ + x₂ + x₃)/3

in this case we know that the mean is 0, then:

0 =  (x₁ + x₂ + x₃)/3

then the numerator must be zero, so:

0 =  (x₁ + x₂ + x₃)

replacing the value of x₂ = -1 we get:

0 = (x₁ - 1 + x₃)

where:

-5 < x₁ < -1 < x₃ ≤ 3

Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.

here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).

then:

0 = x₁ - 1 + 3

Now we can solve this for x₁

0 = x₁ + 2

-2 = x₁

Then the set is:

{-2, -1 , 3}

pls help. will mark brainliest.

Answers

Answer:

b = -4

Step-by-step explanation:

multiply both sides by 3 to get:

4b-8 = 6b

-8 = 6b-4b

-8 = 2b

-8/2 = b

-4 = b

cari nilai k dengan keaadaan h^2(2k/5)=32​

Answers

Answer:

[tex] {h}^{2} ( \frac{2k}{5} ) = 32 \\ 2k. {h}^{2} = 160 \\ k {h}^{2} = 80[/tex]

[tex]k=\frac{80}{h²}[/tex]

Given that abc and def are similar find fd

Answers

Answer:

FD = 8

Step-by-step explanation:

since they are similar triangle .use these ratios to find FD

AB/DE = AC/FD

now substitute the values

6/x-3 = 12/x+1

do cross multiplication

12(x-3) = 6(x+1)

12x - 36 = 6x + 6

12x - 6x = 6 + 36

6x = 42

x = 42/6

x = 7

now substitute x

FD = x + 1

=7 + 1

=8

A) SAS
B) HL
C) AA
D) SSS
?

Answers

Answer:

AA cuz u have all the angles

Step-by-step explanation:

Insta: lankey.t

It would be c. Sjsnhsndhdndhbds

passes through (-2, 1) and (2, -5)

Answers

Answer:

The equation of the line is:

[tex]y = -\frac{3}{2}x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope:

We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So

Change in y: -5 - 1 = -6

Change in x: 2 - (-2) = 2 + 4 = 4

Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + b[/tex]

Passes through (-2, 1)

This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So

[tex]y = -\frac{3}{2}x + b[/tex]

[tex]1 = -\frac{3}{2}(-2) + b[/tex]

[tex]1 = 3 + b[/tex]

[tex]b = -2[/tex]

So, the equation of the line is:

[tex]y = -\frac{3}{2}x - 2[/tex]

9x4 + 24x3 - 27x2 + 12x

Answers

Answer:

3x(3x³ + 8x² – 9x + 4)

Step-by-step explanation:

9x4 + 24x3 - 27x2 + 12x =

9x⁴ + 24x³ – 27x² + 12x =

3(3x⁴ + 24x³ – 27x² + 12x) =

3x(3x³ + 24x² – 27x + 12).

3x³ + 24x² – 27x + 12 cannot be factored

[rational numbers].

PLEASE HELP ASAP
the graphs below have the same shape. what is the equation of the red graph?

Answers

Answer:

D

Step-by-step explanation:

I checked it on desmos and also the shift is 1 up that means subtracting from a larger number

Answer: d

Step-by-step explanation:

x= -1/8 ,y= -2/5 ,z= 10/12 find the answer if x*( y* z ) = ( x* y ) * z ​

Answers

Answer:

a. x × (y + z) = -13/240

c. x × (y × z) = 1/24

Step-by-step explanation:

The given values of the variables are;

[tex]x = \dfrac{-1}{8} , y = \dfrac{-2}{5} \ and \ z = \dfrac{10}{12}[/tex]

a. x × (y + z) = (x × y) + (x × z), by distributive property

Plugging in the values gives;

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right)[/tex]

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \dfrac{-1}{8} \times \left (\dfrac{13}{30} \right) = \dfrac{-13}{240}[/tex]

[tex]\left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{1}{20} + \dfrac{-5}{48} = \dfrac{-13}{240}[/tex]

Therefore;

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{-13}{240}[/tex]

c. x × (y × z) = (x × y) × z

Plugging in the values for 'x', 'y', and 'z' gives;

[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} \times \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) \times \left ( \dfrac{10}{12} \right) = \dfrac{1}{24}[/tex]

can someone help me? i really don’t understand

Answers

Answer:

Step-by-step explanation:

Trevor had 3/4 pound of peanut she wants to split them evenly among 4 people. How many pounds of peanuts would each person get?

Answers

Hi! Each person would get 3/16 pounds of peanuts. 3/4 / 4 = 3/16

I hope this helps, Goodluck! :)

How many vertices does this three-dimensional shape have?

Answers

Answer:

6

Step-by-step explanation:

I may be wrong.

If I am, delete this answer.

If it's right, please mark it as the Brainliest. I would really appreciate it.

The total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

What is Geometry?

Geometry is one of the earliest areas of mathematics, along with algebra. It is concerned with spatial qualities such as figure proximity, form, size, and relative location. A geometer is a mathematics who works in the discipline of geometry.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

In the given diagram, the upper part of the triangular pyramid has 3 corners and the lower part of the triangular pyramid has 3 corners.

Then the total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

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