Consider a prism ABCA'B'C' whose base is an equilateral triangle of side a. The projection of A' onto ABC is the centroid of ABC. The side AA' makes an angle of 60° with the base. Calculate the volume of prismatic block.

Answers

Answer 1

Answer:

lsu is there to help you with this question

Step-by-step explanation:


Related Questions

A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.
What is the area of the shaded portion of the circle?

(16π – 32) in2
(16π – 8) in2
(64π – 32) in2
(64π – 8) in2

Answers

Answer:

(16π – 32) in2 (A/1st answer)

Step-by-step explanation:edge

The Area of the shaded portion is given by (16 π -32) sq.inch, the correct option is A.

What is a Circle?

A circle is a round shaped figure whose all points lie in one plane and the distance between the center of the circle and all the points on the circle is constant.

The area of the shaded portion is equal to the difference of the area of the arc and  Area of the Triangle.

Area of an Arc =( [tex]\rm \theta[/tex] / 360) * π r²

Area = (90/360) * π * (8) ²

Area of the arc = 16 π sq.in

Area of the triangle = (1/2) * base * height

Area of the triangle = (1/2) * 8 * 8 = 32 sq.in

Area of the shaded portion = (16 π -32) sq.inch

To know more about Circle

https://brainly.com/question/11833983

#SPJ5

4D+5P=$25

3D+4P=$26

Find the Value of D and P

Answers

Answer:

P= $29  and D = -$30

Step-by-step explanation:

4D + 5P = $25

5P = $25 - 4D

P = ($25 - 4D)/5            equation(i)

Noe substitute the value of P

3D + 4P = $26

3D + 4($25 -4D)/5 = $26

3D*5 + ($100 -16D)/5 =$26*5

15D + $100 - 16D =$130

-D = $130 - $100

D = -$30

Again substitute the vale of D in equation(i)

P = ($25 + 4D)/5

=$25 + 4*$30/5

=$25 + $120/5

=-$145/5

=$29

Answer:

P = 29, D = - 30

Step-by-step explanation:

Given the 2 equations

4D + 5P = 25 → (1)

3D + 4P = 26 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D

12D + 15P = 75 → (3)

- 12D - 16P = - 104 → (4)

Add (3) and (4) term by term to eliminate D

0 - P = - 29

- P = - 29 ( multiply both sides by - 1 )

P = 29

Substitute P = 29 into either of the 2 equations and solve for D

Substituting into (1)

4D + 5(29) = 25

4D + 145 = 25 ( subtract 145 from both sides )

4D = - 120 ( divide both sides by 4 )

D = - 30



Can someone help me with this.

Answers

Answer:

33.51 sq units

Step-by-step explanation:

A=Θπr^2/360= 60 x pi x 8^2/360=33.51032164=33.51 sq units

0.202 round to the hundredth

Answers

Answer:

0.20

Step-by-step explanation:

find (a) the perimeter and (b) the area of the figure. use 3.13 or 22/7 for n. round your answer to the nearest hundredth, if necessary

Answers

Answer:

;)))

Step-by-step explanation:

Y’all know the answer?

Answers

9514 1404 393

Answer:

  (b)  36 in²

Step-by-step explanation:

The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...

  √(5² -3²) = √16 = 4

Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...

  A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²

__

You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.

List the intercepts and test
for symmetry
y = x² - 2x-8

Answers

Answer:

heloooooooooooooooooooooio

Step-by-step explanation:

oooooooooo oooooooooo oooooooooo

X intercepts: (4,0) and (-2,0)
Y intercept: (0,-8)
Axis of symmetry: X=1

What is the inequality shown?

Answers

Answer:

The inequality shown is 5.

Step-by-step explanation:

It's just asking for the inequality so you can basically just add the distance like 4 + 5 = 9.

The inequality shown is 5

Which of the following numbers is closest to 11?
O A. V120
O B. V118
OC. V123
OD. V115

Answers

Answer:

a

Step-by-step explanation:

my math teacher told me

I need someone to check my answer for this graph
(I chose negative )

Answers

Answer:

The answer is D) Undefined because the equation is x=-11.

Would be d because it’s not moving left or right

A pencil case with a cylinder shape with diameter= 10 cm
and height = 12 cm .
What is the length of the longest pencil that can fit in the pencil case?

Answers

Answer:

length of the longest pencil that can fit must be less than 13cm

Step-by-step explanation:

To get the longest pencil that fit the case, we will use the pythagoras theorem;

diameter = 10cm

radius = 10/2

radius = 5cm

Height = 12cm

Get the length of the longest side

l² = r²+h²

l² = 5²+12²

l² = 25 + 144

l² = 169

l = √169

l = 13cm

Hence the length of the longest pencil that can fit must be less than 13cm

Simplity: (3(2a)^1/3) 2
24a3
216a3
72a3
342a

Answers

72a3 is the right answer

Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?

Answers

Answer:

[tex]x = \frac{16}{3} [/tex]

Step-by-step explanation:

Solve the equations:

[tex]4x \: 2 - 5x = 16[/tex]

Multiply the monomals:

[tex]8x - 5x = 16[/tex]

Combine like terms:

[tex]3x = 16[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x = 16 \div 3[/tex]

Calculate:

[tex]x = \frac{16}{3} [/tex]

help quickly pls! i will give thanks, rate, and maybe a brainliest!

Answers

Answer:

false

Step-by-step explanation:

1+2/5 = 5/5 + 2/5 = 7/5

1. Which of the following sets is a FUNCTION?(X can't repeat)
*
O (3,4) (3,5) (3,9) (3,2)
O (3,4) (2,8) (9,3), (5,6)
O (3,4) (2,8) (3,7) (5,6)

Answers

Answer choice 1 because if you multiply each number it will give you a multiple

lamar had 2/5 of land. he planted 2/3 of this land with corn. how many acres did he plant with corn? answer in the simplest form

Answers

The answer is 2.5 I think not sure

Approximately how long will it take $200 to double to $400 when the annual interest rate is 8 1/2?

Answers

Answer:

200/17 years

Step-by-step explanation:

Simple interest = (principle * time * rate) / 100i

SOMEONE PLEASE HELP THIS IS DUE TOMROROW EZ WORK


PLEASE ANSWER THEM PROPERY FULL SENTENCES

Answers

Answer:

1.) At times, designing a good structure with a specific function may often be difficult. If the structure is not well-designed or strong enough for the function it will not properly work. So in order for the design to be well-built, both the structure and function must cooperate.

2.) Symmetry is a balanced arrangement on the opposite sides of a structure. In order for for a structure to be stable and properly work without complications, it most commonly needs to be symmetrical. This is a very important part of designing a structure.

3.) If the structure cannot withstand the function nor the possible forces that it may encounter. It is likely that it will break or even be completely destroyed.

4.) Shape, line, color, texture, movement, space. The designer may have taken into consideration whom the desk may be used by for the shape and space. Color, texture, and line may have been based on the environment (ex. A carpenter, student, computer desk) it would be in. Although the designer may not have an exact knowledge of where the desk would be, he still could consider what the desk could "possibly" be used for. Once again, the designer could take into consideration the user, for the movement of the desk. If the desk was to be moved around on wheels, or possibly could even fold. The designer must take into consideration EVERY detail.

6.) When people design something, often times you do not know how well that design is going to work without testing it with a prototype. Yes, prototypes are expensive. Yet, if they were to build something without testing their design, something may be wrong with it. So as a result, you will spend more money manufacturing something with a defect than testing it with a prototype.

For question 5, I think it might be best if you answer that one. It is based on YOUR opinion and what YOU use. If you are asked about it, they will know it's from you and your opinion. Lol! But I hope I helped you out with the other questions! ;)

whoch expression is equivalent to -20 - (-4)​

Answers

Answer:

D

Step-by-step explanation:

-(-4)=+4

so it is -20+4

Answer:

D) -20 + 4 is the answer.

Step-by-step explanation:

1) Record the terms .

[tex]4 - 20[/tex]

2) Use this rule: a - b = -(b - a)

[tex] - (20 - 4)[/tex]

3) Use algorithm method.

(see the attached picture)

4) After simplifying, we have:

[tex] -(20 - 4) = - 16[/tex]

5) therefor, -20 + 4 = -16

[tex] - 16[/tex]

The function f(x)= StartRoot negative x EndRoot is shown on the graph.

On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).

Which statement is correct?

The range of the graph is all real numbers less than or equal to 0.
The domain of the graph is all real numbers less than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.

Answers

Answer:

The domain of the graph is all real numbers less than or equal to 0

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The domain of the graph is all real numbers less than or equal to 0.

Mariano quiere comprar un reloj de $4500. por el pago de contado le hacen un descuento de 900$. a) Qué porcentaje es el descuento? *

Answers

Answer:

100

Step-by-step explanation:

Which polynomial below could produce this graph?

Answers

Answer:

f(x) = (x + 20)(x - 24)(x + 10)(x + 12)

Step-by-step explanation:

This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.

It also has zeroes at x = -20,-12 ,-10 and x = 24.

So it is the first option.

PLSSS HELP I ONLY HAVE A FEW MINUTES LEFT.
Which of the following is equivalent to 2^3sqrt x^4

Answers

Answer:

Hi, there your answer is C

Step-by-step explanation:

You have to rewrite as rational [tex]2x^{\frac{4}{3} }[/tex]exponents

Use this to help you rememeber

[tex]\sqrt[n]{a^{x} } =a^{\frac{x}{n} }[/tex]

Hope this helps :)

Answer:

2[tex]x^{\frac{4}{3} }[/tex]

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]\sqrt[n]{x^{m} }[/tex] = [tex]x^{\frac{m}{n} }[/tex] , then

2[tex]\sqrt[3]{x^{4} }[/tex]

= 2[tex]x^{\frac{4}{3} }[/tex]

how many lbs is 3.25 tons?​

Answers

Answer:

6500 lba

Step-by-step explanation:

hope this helps. Goodluck <3

Answer:

2.939279

Step-by-step explanation:

metrict ton

During the carnival, tickets were sold for a raffle. Carnival workers counted sales every 30 minutes. The number of tickets sold were: 123, 145, 110, 256, 123. What was the median number of tickets sold?

Answers

Answer:

123

Step-by-step explanation:

First arrange in ascending or descending order

110,123,123,145,256

Then pick the number in the middle which is 123

but if you have 2 middle numbers add them together and divide by 2

Which expressions represent rational numbers? Check all that apply.

Answers

Answer:

they're all rational numbers

Step-by-step explanation:

rational numbers are positive, negative, or zero integers. they can be decimals as well.

first expression = 2.449.... + 3 = 5.449 (yes, it is rational)

second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)

third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)

fourth expression = 4 + 13 = 17 (yes, it is rational)

fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)

sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)

Malik wanted to give away \frac{1}{5} 5 1 ​ of his bag of balloons to his 3 friends. What fraction of balloons will he give away?

Answers

Answer:

The answer is 3/5

Step-by-step explanation:

The amount of balloon to be given away= 1/5

The number of friends to

receive the balloon = 3

Therefore the total fraction of balloons that he gave away = 1/5 × 3

=3/5

simpifly this expression, i only need answer b :)

Answers

Answer:

1) x³y²

2) 6x²y³

Step-by-step explanation:

hope it helps...

30/20+30/40 simplify the equation

Answers

Step-by-step explanation:

LCM of 20 and 40 is 40

So,

60/40+30/40

90/40.... Answer

hope it helps

Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes.

Answers

The question is incomplete, the complete question is:

Carmella works 37.5 h per week for Century Home selling electronics equipment. She earns a base salary of $12/h and receives a commission of 5¢ for every dollar of sales she makes. What is Carmella’s weekly base salary?

Answer: The base salary of Carmella is $450

Step-by-step explanation:

We are given:

Amount of hours worked by Carmella = 37.5 hours

Amount earned as a base salary = $12/hr

To calculate the base salary, we multiply the total amount of hours worked and the amount earned each hour for it.

[tex]\text{Base salary}=\$ 12/hr\times 37.5hr\\\\\text{Base salary}=\$ 450[/tex]

Hence, the base salary of Carmella is $450

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