Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.

Answers

Answer 1

Answer:

[tex]Total = 32.4in^2[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

The surface area of the pyramid

To do this, we calculate the surface area of each of the pyramid faces.

For the equilateral triangle.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.9in[/tex]

The area is:

[tex]A_1 = 0.5 * Base * Height[/tex]

[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]

[tex]A_1 = 8.775in^2[/tex]

There are 3 isosceles triangles of equal dimension.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.5in[/tex]

The area of one of them is:

[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]

[tex]A_2 = 7.875in^2[/tex]

For the 3, the surface area is:

[tex]3A_2 = 7.875in^2 * 3[/tex]

[tex]3A_2 = 23.625in^2\\[/tex]

The total surface area is:

[tex]Total = 8.775in^2 + 23.625in^2[/tex]

[tex]Total = 32.4in^2[/tex]

Rafael Is Cutting Pieces Of Wood To Make A Triangular Pyramid Like The One Shown Below. The Base Of The

Related Questions

what is 15%of8700 please give the right answer

Answers

15% becomes 0.15
multiply it by 8700
0.15x8700=1305

Step-by-step explanation:

8700x.15 is 1,305. that is your answer

A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?

Answers

10 slices will cost 10 dollars

using the da tat shown on the table, which statements are correct

Answers

Answer:

C

Step-by-step explanation:

I hope everyone who sees this has a wonderful day :)

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: That is a common saying used in the USA as well as many other places. People enjoy when people say this because it helps them feel good and be grateful!

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The measures of one interior angle of a regular polygon is 140o. What is the name of the polygon?

Answers

Answer:

nonagon/enneagon

Step-by-step explanation:

Let n be the number of length of the polygon

(n-2)x180 = 140n

180n - 360 = 140n

n = 9

The name of the polygon is call nonagon/enneagon

140= (n-2)×180/n140n=180n-360180n-140n=36040n=360n=360/40n=9

The triangle below has side measurements of 24 17 and 9. Match the side length of the triangle to the appropriate side using what you know about triangle relationships.

Answers

Answer:

See attachment for triangle

Step-by-step explanation:

Given

[tex]Side\ 1 =24[/tex]

[tex]Side\ 2 =17[/tex]

[tex]Side\ 3 =9[/tex]

Required

Draw a triangle that represent the given sides

No template is given. So, I will draw the triangle from scratch

But first, we check if the given sides are valid for a triangle (using triangle inequality theorem).

This states that:

[tex]Side\ 1 + Side\ 2 > Side\ 3[/tex]

[tex]Side\ 3 + Side\ 2 > Side\ 1[/tex]

[tex]Side\ 1 + Side\ 3 > Side\ 2[/tex]

All three inequalities must be true.

Substitute values of each side in the three inequalities

[tex]24 + 17 > 9[/tex] --- True

[tex]9 + 17 > 24[/tex] --- True

[tex]24 + 9 > 17[/tex] --- True

Since the sides are valid, then the triangle can be drawn (See attachment for triangle)

write an equation for the following problem

Answers

Answer:

x+68=90 degrees

Step-by-step explanation:

Answer:

90-68 or 68+22

Step-by-step explanation:

this works becuz it is a 98 degree angle

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answers

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

[tex]Section = 4847.3205\ in^3[/tex]

Step-by-step explanation:

Given

[tex]h = 15in[/tex] -- height

[tex]d = 22in[/tex] -- diameter

Required

85% of the volume

First, calculate the radius

[tex]r = \frac{1}{2} * d[/tex]

[tex]r = \frac{1}{2} * 22= 11in[/tex]

The volume (V) is then calculated using:

[tex]V = \pi r^2h[/tex]

[tex]V = 3.142* 11^2 * 15[/tex]

[tex]V = 5702.73\ in^3[/tex]

85% of the volume is:

[tex]Section = 85\% * V[/tex]

[tex]Section = 85\% * 5702.73\ in^3[/tex]

[tex]Section = 4847.3205\ in^3[/tex]

Answer:

The answer above me is correct.

Step-by-step explanation:

will give brainliest and 100 points
Factor the trinomial. Show ALL work: x2 − 5x + 6

Answers

Answer:

(x−2)(x−3)

Step-by-step explanation:

x²−5x+6

number = x-y = -5

x*y=6

-2+-3 = -5

-2*-3 = 6

we get

(x-2)(x-3)

Answer:

(x−2)(x−3)

Answer: x=3,x=2: (x-3)(x-2)

Step-by-step explanation: Lets factor. What two numbers multiply to get 6 and add to get 5.

The two numbers are 3 and 2 so lets start factoring.

First since its not a perfect square trinomial we know it wont be something squares.

We put (x  ?)(x   ?) the question marks are numbers that will go in so the two numbers are 3 and 2 and since the sign in front of the 5x is a minus sign both numbers will be negative. So we would do (x   3)(x   2) and both signs would be negative so we get (x-3)(x-2)

Which function defines (g•f)(x)?

Answers

Answer:the Awnser would be d

Step-by-step explanation:

Plato

This relationship represents between f(x) and g(x) :

(g•f)(x) = 5xlog(5x) + 4log(5x) which is correct option(D).

What is function?

The function is defined as mathematics expression defines a relationship between one variable and another variable.

f(x) = log(5x)

g(x) = 5x + 4

Multiply by f(x) in g(x),

(g•f)(x) = (5x + 4)f(x)

(g•f)(x) = 5xf(x) + 4f(x)

Substitute value of f(x),

(g•f)(x) = 5xlog(5x) + 4log(5x)

Learn more about function here:

brainly.com/question/12431044

#SPJ5

The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)

P = _____ (1 - ____ ) t

Answers

Answer: P=2300 (1- 0.05)^x

Step-by-step explanation:

Explain what steps you take to find the greatest common factor of 24 and 32

Answers

Answer:

So first what I do is I list the factors of 24 and 32. So for 24, I would write 1, 2, 3, 4, 6, 8, 12, and 24. Then for 32, I would write 1, 2, 4, 8, 16, and 32.  Finally, I would look through both lists and try to find the greatest number in common, which would be 8.

Step-by-step explanation:

ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?

Answers

Answer:

Company A = $13

Company B = $12.73

Company B

Step-by-step explanation:

To determine the unit cost for each company, divide the price of chocolate by the number of pounds

Unit cost = price ÷ total pounds offered

Company A

$32.50 ÷ 2 1/2

$32.50 ÷ 5/2

$32.50 x 2/5  = $13

Company B

$35 ÷ 2 3/4

$35 ÷ 11/4

$35 X 4/11 = $12.73

$12.73 is less than $13. Company b has a lower price per pound

Please answer I’ll make brainliest. I have other questions too that I’ll be posting shortly

Answers

Answer:

16 ft

Step-by-step explanation:

The equation is a^2+b^2=C^2

a= 30^2 = 900

b= we need to find

c= 34^2=1156

so the equation looks like this so far

900 + B^2 = 1156

we are going to subtract 900 so B^2 can be alone

1156 - 900 = 256

Now the equation looks like =

B^2 = 256

now we square root 256  

which gives you 16

B = 16

How many solutions 9+p=2p-3 have

Answers

Answer:

Only one solution

Step-by-step explanation:

p=12

Solution below:

subtract p on both sides

9=p-3

add 3 on both sides

p=12

9+p=2p-3
p=2p-12
-p=-12
p=12
One solution

What is 300% of 15? Please show your work

Answers

Answer:

300/100*15=45 plz mark me branliest

20 points
3) Yolanda is building a patio in her backyard. She is interested in using
both bick and woof for the flooring of the patio. Below is the plan she has
created for the patio. All measurement are in feet. Select the expressions
that represent the area of the patio? (SOL 6.7, 6.13) *

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu


At a track meet, eight runners are running the 200 m dash. Assuming no ties, how
many ways can the first three finishers come in?

Answers

Answer:

6

Step-by-step explanation:

1. One comes first, two comes second, and three comes last.

2. one comes first, two comes last, and three comes second.

3. One comes second, Two comes first, and three comes last.

4. One come last, Two comes first, and three comes second.

5. One comes second, Two comes last, Three comes first.

6. One comes last, Two comes second, and Three comes first.

If the graph of the function moves to the right two units what is the new vertex of the function

Answers

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

Timothy spent 1 hour 22 minutes less than Bill reading last week. Bill spent 47 minutes less than Pete. Pete spent 3 hours reading. How long did Timothy spend reading?

Answers

Answer: 51 minutes

Step-by-step explanation:

Firstly, Pete spent 3 hours reading. Bill spent 47 minutes less than Pete reading so Bill spent:

= 3 hours - 47 minutes

= 2 hours 13 minutes

If Bill spent 2 hours 13 minutes reading and Timothy spent 1 hour 22 minutes less than this, the amount of time that Timothy read for was:

= 2 hours 13 minutes - 1 hour 22 minutes

= 51 minutes

Perform the indicated operation. m/m+n + n/m+n

Answers

Answer:

(2mn+m+n)/2

Step-by-step explanation:

Alonzo and Mitra wanted to share a pizza. Mitra ate
1/4
of the pizza, and Alonzo ate
3/4
of the pizza.
How much more pizza did Alonzo eat than Mitra?

Answers

Answer: 2/4 more pizzia

Step-by-step explanation: Becuse if Mirtra ate 1/4 of the pizzia then you have 3/4 left and alonzo ate 3/4 of the pizza and if you subtract those the differce ends up to be 2/4.

PLEASE HELP FAST!!!
Emile is a long distance trucker. In one week he drives 750 miles from his home in fort lauderale,FL, to Benson, NC he then drives 2,488 miles to Barstow, CA and continues driving 155 miles to Bakersfield,CA. From there, Emily drives 1,015 miles to Seattle, WA.
Estimate the total distance Emile travels by first rounding each distance to the nearest hundred.

Answers

Answer:

4500 miles

Step-by-step explanation:

750 rounded to the nearest hundred is 800. 2,488 rounded to the nearest hundred is 2,500. 155 rounded to the nearest hundred is 200. 1,015 rounded to the nearest hundred is 1,000. So 800+2,500+200+1,000= 4,500

Please help me with this and find x!! Thank you, only if you know!

Answers

Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 14^{2} - 10^{2}[/tex]

[tex]a^{2} = 196 - 100[/tex]

[tex]a^{2} = 96[/tex]

[tex]\sqrt{a^2} = \sqrt{96}[/tex]

[tex]a = 9.7979[/tex] ⇒ 9.8

Answer:

The value of x=4√6cm or √96cm

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Hypotenuse given=14cm

Base=10cm

Perpendicular=x

14²=P²+10²

196=P²+100

196-100=P²

96=P²

√96=P

4√6cm=x

True or false

(Question in the picture)

Answers

Answer:

False

48° + 77° + 66° ≠ 180°

Step-by-step explanation:

Find the missing side ​

Answers

16 or 17Hope I helped I’m not 100% sure sorry if the answer is wrong
just solved it!
the answer is 17

The actual width of the building shown in the model below is 60 feet: What is the actual height od the building shown in the model?

100ft
150ft
210ft
300ft


the building shows the height as 5 and width is 2...​

Answers

Answer:

100ft I'm not completely sure but

Step-by-step explanaon                                                                                                                    5x5=25 2x2=4 25x4=100    

what are the mean and medium to introduce peolpe​

Answers

Wym by that ask in a different way

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader

Answers

Answer:

6.67 yards

Step-by-step explanation:

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?

Please note that:

1 foot = 0.333 yard

20 feet = x yards

Cross Multiply

1 foot × x yards = 20 feet × 0.333 yards

x yards = 20 feet × 0.333 yards/1 foot

x yards = 6.66667 yards

Approximately = 6.67 yards

Therefore, the measurements in yards is 6.67 yards.

3.14x(3x5)+34 hjghjhg

Answers

Answer:

81.1 is the answer ..,eksks

81.1 is the answer !
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