Find the volume of the solid brow, composed of two pyramids connected by the same vertical square base

Find The Volume Of The Solid Brow, Composed Of Two Pyramids Connected By The Same Vertical Square Base

Answers

Answer 1

Check the picture below.

so we can simply get the volume of each and sum them up.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=base's~area\\[-0.5em] \hrulefill\\ h=6\\ B=\stackrel{8\times 8}{64} \end{cases}\implies V=\cfrac{(64)(6)}{3}\implies V=128[/tex]

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=base's~area\\[-0.5em] \hrulefill\\ h=12\\ B=\stackrel{8\times 8}{64} \end{cases}\implies V=\cfrac{(64)(12)}{3}\implies V=256 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 128~~ + ~~256~~ = ~~384~\hfill[/tex]

Find The Volume Of The Solid Brow, Composed Of Two Pyramids Connected By The Same Vertical Square Base

Related Questions

Lydia received her salary on Friday. She spent one-half of her salary on rent and then spent $168 on her electric and water bill. Next she spent one-half of what was left on her phone bill. After spending $57.00 on gas for her car, Lydia had $92.00 left. How much did Lydia spend on rent?

A. $298
B. $466
C. $764
D. $932

Answers

Answer:

B) $466

Step-by-step explanation:

Let the amount of rent is R

Calculate the value of R in reverse order of spending

R = (92 + 57)*2 + 168 = 466

Correct choice is B

Answer:

B. $466

Step-by-step explanation:

[tex]\textsf{let}\: x= \textsf{Lydia's salary}[/tex]

[tex]\implies \textsf{rent}=\dfrac{1}{2}x[/tex]

Modelling the given information to find the total salary:

[tex]\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317[/tex]

[tex]\implies x-(\frac{1}{2}x-168)=634[/tex]

[tex]\implies x-\frac{1}{2}x+168=634[/tex]

[tex]\implies \dfrac{1}{2}x=466[/tex]

[tex]\implies x=932[/tex]

Therefore, Lydia's total salary was $932

[tex]\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466[/tex]

f p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)

Answers

Answer:

[tex]2x^{2} - 16x + 30[/tex]

Step-by-step explanation:

Here we have to find p(q(x))

q(x) =x -3

we will plug value of q(x) in x of p(x)

p(x) =2x2-4x

p(q(x)) = 2(x-3)2-4(x-3)

= 2(x2-6x+9)-4(x-3)

=2x2-12x+18 -4x+12

[tex]2x^{2} + 16x + 30[/tex]

Graph y=|3x| using as many points as needed

Answers

Answer:

Graph is below

Step-by-step explanation:

I am going to use 3 points to make this graph

(0,0)

(-1,3)

(1,3)

Answer:

(0,0), (-1,3), (1,3)

Step-by-step explanation:

The graph is below!

Hope this helps!!!!!!!!!!!!

ANSWER FOR A BRAINLY plEASE

Answers

Answer:

91 I believe. 7x4 is 28, divide by 2, you get 14. there is two triangles that have the same area so multiply by two to get 28 for the top half. then 7x9 is 63, divided by 2 times 2 is 63. add 63 and 28 to get 91

F(x)=2x-5 if x is 0




Please help hurry

Answers

Answer: -5

Step-by-step explanation:

2(0)-5

0-5 = -5

What is the probability that he will hit fewer than 8 of the bottles?

Answers

Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, we have that:

The probability of a bottle being hit is of p = 0.95.There are n = 10 bottles.

The probability that he hits fewer than 8 of the bottles is given by:

[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]

In which:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746[/tex]

[tex]P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151[/tex]

[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]

Hence:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988[/tex]

[tex]P(X < 8) = 1 - P(X \geq 8) = 0.012[/tex]

The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

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Solve for x
4(x + 6) = 3x – 7

Answers

Answer:

-31 = x

Step-by-step explanation:

Step 1    4x + 24 = 3x - 7

Step 2   x + 24 = -7

Step 3   x = -31

Hope this help!!!

What is the median of the following data set ? {3,4,2,8,5}

Answers

4

Explanation:

3, 4, 2, 8, 5

arrange in ascending order

2, 3, 4, 5, 8

Identify the integer at the middle

median: 4

{3,4,2,8,5}

Arrange in ascending order

{2,3,4,5,8}

Median term=(5+1)/2=6/2=3rd term=4

Median is 4

Solve the system using elimination.

Answers

Answer:

3x +2y = 11 .... 1

x +5y = 8....2

x + 5y = 8

multiply by -3 on both sides

-3x - 15y = -24

-3x - 15y = - 24

3x +2y = 11

-13y = -13

y = 1

substitute the value of y in 1 or 2

3x +2y = 11

3x = 11 - 2y

3x = 11 - 2(1)

3x = 9

x = 3

(x;y) ( 3 ; 1)

3x+2y=11--(1)x+5y=8--(2)

eq(2)×3

3x+15y=24-(3)

eq(1)-eq(3)

-13y=-13y=-13/-13y=1

Putting in eq(2)

x+5=8x=8-5x=3

Pair

(3,1)

Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side
GH. Round your answer to the nearest tenth if necessary.
5
E
23.3
H
C
7

Answers

Answer: 32.6

Step-by-step explanation:

Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.

Answers

Answer:

see explanation

Step-by-step explanation:

the graph has a maximum turning point at (- 2, 2 )

the maximum value is the value of the y- coordinate of the vertex , then

maximum at 2

the domain is the values that x takes, in this case

domain is all real numbers

the range is the values that y can have, in this case

range is y ≤ 2

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Maximum = 2Domain : all real numbersRange : y ≤ 2

Express the following rate as a unit rate.
63 jumping jacks in 3 minutes
_____ jumping jacks per minute

Answers

Answer:

21 jacks/min

or 21 jacks per minute

Step-by-step explanation:

63/3 = 21

write it as ___ unit/rate

please mark brainliest

Pls help me and show work! Thank you <3

Answers

Answer: 18

Step-by-step explanation:

By the consecutive interior angles theorem, [tex]5x+7x+24=180 \longrightarrow x=13[/tex].

So, this means that using the corresponding angles theorem, [tex]7x+24=6y+7[/tex], and since [tex]x=13[/tex], this means that [tex]7x+24=115[/tex].

So, [tex]6y+7=115 \longrightarrow \boxed{y=18}[/tex]

Use cubic regression to find a
function that fits the following
points.
(1,-1), (2,-13), (3,-45),(-1,11)
y = [?]x3+[ ]x2+0 ]x+[ ]

Answers

The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3

How to determine the function?

The points are given as:

(x,y) = (1,-1), (2,-13), (3,-45), (-1,11)

A cubic regression function is represented as:

y = ax³ + bx² + cx + d

Next, we determine the cubic function using a graphing calculator.

From the graphing calculator, we have the following coefficients:

a = -2b = 2c = -4d = 3

Recall that:

y = ax³ + bx² + cx + d

So, we have:

y = -2x³ + 2x² - 4x + 3

Hence, the cubic regression function of the points is y = -2x³ + 2x² - 4x + 3

Read more about regression functions at:

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PLEASE HELP WILL GIVE BRAINLIEST 60 POINTS Given the triangle congruence statement ΔUVW≅ΔABC and the triangles below, mark each of the triangles appropriately for corresponding angles and sides. Then create a list of congruent sides and angles using the table.

Corresponding Sides Corresponding Angles

Answers

Congruent triangles are those triangles which have the same size and form.

What are congruent triangles?

Congruent triangles are those triangles which have the same size and form. This signifies that the matching sides and angles are the same.

The two triangles ΔUVW≅ΔABC, therefore, the corresponding sides can be written as,

WU = BAUV = ACWV = BC

The corresponding angles will be,

∠W = ∠B∠U = ∠A∠V = ∠C

Learn more about Congruent Triangles:

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Factor completely 25-64x^2

Answers

Answer:

(5+8) (5-8)

Step-by-step explanation:

They are both perfect squares.

Answer:

(5+8x)(5-8x)

Step-by-step explanation:

This is a 'difference of two squares" Difference means subtraction and 25 is a perfect square and 64x^2 is a perfect square.

If you know how to factor quadratic trinomials like

ax^2 + bx + c, you can do the same thing here, using:

64x^2 +0x + 25

BUT, there's a shortcut. It is a pattern that you memorize. Since 25 is 5^2, put 5 first in the parenthesis. And since 64x^2 is 8x squared, put 8x second in the parenthesis like this:

(5 8x)

Make two of them:

(5 8x)(5 8x)

Make one a plus and one a minus.

(5 + 8x)(5 - 8x)

Done!

Well, if the directions say "factor" then you are done. If the directions say "solve" then put each piece equal to zero and solve for x.

Hope this helps!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

20 units

Step-by-step explanation:

Given: Bases of the trapezoid

[tex]b_1 = 14\: units [/tex]

[tex]b_2 = 26\: units [/tex]

To find: Length of midsegment

Solution: Formula for length of midsegment of a trapezoid is given as:

[tex] Length\: of \:midsegment =\frac{b_1+b_2}{2}[/tex]

Plugging the values of [tex]b_1 \:and \: b_2 [/tex] in the above formula we find:

[tex] Length\: of \:midsegment =\frac{14+26}{2}[/tex]

[tex]\implies Length\: of \:midsegment =\frac{40}{2}[/tex]

[tex]\implies Length\: of \:midsegment =20\: units[/tex]

what is the slope of a line that is perpendicular to the line shown? A-1/3 B-1 C-2/3 D-3/2

Answers

Answer:

-1

Step-by-step explanation:

perpendicular = always has a slope of neg 1

Answer:

-1

Step-by-step explanation:

It is -1. I can't explain, I just did it in my head, so sorry!

A rectangle has a perimeter of 36 feet and a base of 14 feet. What is the height?

Answers

Answer:

The answer is 4.

Step-by-step explanation:

If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.

Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F
a.
-5°F, -8°C, 40°F, 10°C
b.
-5°F, -8°C, 10°C, 40°F
c.
-8°C, -5°F, 10°C, 40°F
d.
-8°C, -5°F, 40°F, 10°C

Answers

Answer: A

Step-by-step explanation: I hate when theres problems like this, considering theres celcius and fahrenheit but the correct answer is A




Triangle E has a perimeter of 125 inches. Two of
its side lengths are 26 inches and 55 inches.
What is its missing side length?

Answers

Answer:

44 inches

Step-by-step explanation:

perimeter of triangle = length of side 1 + length of side 2 + length of side 3

length of side 1 = 26

length of side 2 = 55

125 = 26 + 55 + length of side 3 = 81 + length of side 3

subtract 81 from both sides to get the length of side 3

length of side 3 = 44 inches

Question 10
If y varies inversely as x and y = -6 when x = 4, find the value of y when x = 5.

Answers

answer:
78x
Explanation: add and subtract then multiply

How many inches are in one and a half yards

Answers

Answer:

54

Step-by-step explanation:

54 inches

hope it helps...!!!

Which term describes BCD

Answers

Check the picture below.

Can someone help with this I don't understand

Answers

Answer:

  1. B 15

  2. C Hexagon

Step-by-step explanation:

1.

Euler's formula tells you the relation between numbers of faces, vertices, and edges of a polyhedron is ...

  F +V = E +2

Solving for the number of faces, we have ...

  F = E +2 -V

For the given numbers, the missing number is ...

  F = 26 +2 -13 = 15

  Faces: 15

__

2.

The cross section (shaded figure) is described by the number of edges it has. You can count them. There are three pairs of parallel edges, for a total of 6 edges. That makes the figure a hexagon.

How do complementary angles relate to right angles?

Answers

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle

HELP ME PLEASE!!!!!!!!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

you multiply them all together

The angle XYZ has and angle y which is twice the size of x. If the third angle is 20 degree what is the value of x and y

Answers

The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The angle XYZ has an angle y which is twice the size of x. Thus,

2x=y

The third angle is 20 degree, which is Z. Thus,

z=20

By the triangle angle sum theorem,

x+y+x=180

x+2x+20=180

3x=180-20

x=160/3

x=53.33

The measure of angle y is,

y=2×53.33

y=106.66

Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

Learn more about the triangle angle sum theorem here;

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What is the missing fifth term in the
pattern below?
1,8, 27, 64, ___

Answers

Answer:

the pattern is going in the form of 1³ , 2³ , 3³ , 4³

therefore next term should be 5³ which is equal to 125. So the missing term is 125

I hope you got that.

By : Modern Einstein

use the graph of the parabola to fi in the table​

Answers

Answer:

line of symmetry: x = -3

intercepts...

x - intercept: (-4, 0) and (-2, 0)

y - intercept: (0, 8)

vertex: (-3, -1)

Step-by-step explanation:

The image isn't that clear but what I can get is what listed

line of symmetry is the line straight down the middle as if the graph is reflected to the other side

intercepts...

x - intercept is when y = 0, note there is 2 of these a negative and positive root

y - intercept is when x = 0

vertex is the turning point

for an upward curve its a min

for a downward curve it a max

I attached an example of each on of these

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