A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 6 yards long, and the height of the equilateral triangle is 5.2 yards. The pyramid's slant height is 7 yards. What is its surface area?

Answers

Answer 1

Answer:

78.6 sq. yards

Step-by-step explanation:

SA = (½×6×5.2)+(3×½×6×7)

= 15.6 + 63 = 78.6 sq. yards


Related Questions

Find the probability that a randomly selected dog owner
spent $100 or more on health care and the dog was a
mixed breed. (Type your answer in SIMPLIEST form)

Answers

55.5% or 5/9 (50 out of 90 people spent more than a hundred dollars on health care so converted to a percentage it would be 55.5%)

A 10 foot ladder is leaning against a building. It forms a 30 degree angle with the ground. How far away from the building is the foot of the ladder? Round your answer to the nearest hundredth. 5 feet, 5.77 feet, 8.66 feet, or 20 feet​

Answers

x = 8.66 ft

Step-by-step explanation:

cos 30 = adj/hyp = x/10

---> x = (10 ft)cos30

= 8.66 ft

the store is selling lemons at 0.53 each. each lemon yields about 2 tablespoons of juice. how much will it cost to buy enough lemons to make three 9inch lemon pies, each requiring half a cup of lemon juice?​

Answers

Answer:

$6.36

Step-by-step explanation:

3 pies require 3/2 cups of lemon juice

16 tablespoons = 1 cup

need 24 tablespoons of lemon juice

need 12 lemons at $0.53 each

total cost = 12 x 0.53 = $6.36

If the standard deviation of the data values in a sample is 13, what is the
variance of the data values?
A. 169
B. 225
C. 289
D. 361

Answers

Answer:

A. 169 is the correct answer

Find the perimeter of a
hexagon with each side
measuring 184 ft.?

Answers

Answer:

P = 1104

a - Side

Step-by-step explanation:

P = 1104

a - Side

Answer:

P=1140

Step-by-step explanation:

P=1140 BANANA SORRY THE ANSWER I DONT HAVE IT BUT HAVE A GOOD DAY

WITHIN THE NEXT 5 MIN I WILL GIVE U BRAINIEST
50 POINTS
1. Harold is at the bottom of the
Grand Canyon but he forgot his
phone at the top of the trail. We
decide to help him and lower his
phone to him. After the first
second, it is 16 feet closer to him,
after three seconds, it is 80 feet
closer to him. If the Grand
Canyon is 6000 feet deep, how
long will it take for the phone to
reach Harold?

Answers

Opps, wrong answer

Deleted

Of the sundaes recently sold at Ice Cream Haven, 4 had nuts and 20 did not. Considering this
data, how many of the next 84 sundaes sold would you expect to have nuts?

Answers

4/24= 1/6
(1/6)*84= 14 had nuts

20/24= 5/6
(5/6)* 84 = 70 no nuts

The expectation of having nuts in the 84 sundaes if 4 had nuts and 20 did not is 14.

What is division?

It is a fundamental operation in mathematics where you divide a number into smaller parts.

Given:

The sundaes had nuts = 4,

Total sundaes = 24,

So from this the possibility of having nuts in sundae = 4/24 = 1 / 6,

Hence, in 84 sundaes the possibility of having nuts is = 1 / 6 × 84 = 14,

Therefore, the expectation of having nuts in the 84 sundaes is 14.

To know more about division:

https://brainly.com/question/27566440

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2. If an older television with an aspect ratio of 4:3 has a screen area of 1550 square inches, but the image displayed has an aspect ratio of 16:9, how much area does the image actually occupy? First determine what percent of the screen does the image occupy?


a. 825.5 sq. in.
b. 1162.5 sq. in.
c. 1181.5 sq. in.
d. 1375.5 sq.in.​

Answers

I am not sure….. I think b

If not let me know

PLEASE HELP ILL GIVE BRAINLIEST AND A THANKS

Answers

Answer:

[tex]forth \: line \: - 5x - 3x + 3 = 6 \\ - 8x + 3 = 6 \\ - 8x = 3 \\ x = \frac{3}{ - 8} [/tex]

Find the volume of this solid figure. Use π = 3.14.

WITH SOLUTION PLEASE AND NO LINKS!​

Answers

Step-by-step explanation:

you can get simply V= ABh πr^2 h π3.14^2 x 17.9 then you get the answer Ihope I can help you

A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:

Student type
Region undergraduate graduate
East $10 $15
Central $12 $18
West $15 $21

The requirements for the survey are as follows:

The survey must have at least 1500 students.
At least 400 graduate students.
At least 100 graduate students should be from the West
No more than 500 undergraduate students should be from the East
At least 75 graduate students should be from the Central region
At least 300 students should be from the West

The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.

Required:
Clearly state the problem (objective function, constraints)

Answers

Answer:

Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6

The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.

The total minimum cost would $ 17586 +$260+ $300= $ 18146

Step-by-step explanation:

Let

X1 = # of undergraduate students from the East region,

X2 = # of graduate students from the East region,

X3 = # of undergraduate students from the Central region,

X4 = # of graduate students from the Central region,

X5 = # of undergraduate students from the West region, and

X6 = # of graduate students from the West region.

Then  the cost functions are

y1= 10x1 +15x2

y2= 12x3+18x4

y3= 15x5+ 21x6

According to the given conditions

The constraints are

x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A

15X2 +18X4+21X6 ≥ 400---------B

21X6 ≥ 100

X6 ≥ 100/21

X6 ≥ 4.76

Taking

X6= 5

10X1 ≤ 500

X1 ≤ 500/10

X1≤ 5

18X4 ≥ 75

X4 ≥ 75/18

X4 ≥ 4.167

Taking

X4= 5

Putting the values

15X5+ 21X6 ≥ 300

15X5+ 21(5) ≥ 300

15X5+ 105 ≥ 300

15X5 ≥ 300-105

15X5 ≥ 195

X5 ≥ 195/15

X5 ≥ 13

Putting value of X6 and X4 in B

15X2 +18X4+21X6 ≥ 400

15X2 +18(5)+21(5) ≥ 400

15X2 +195 ≥ 400

15X2  ≥ 400-195

15X2  ≥ 205

X2  ≥ 205/15

X2  ≥ 13.67

Taking X2= 14

Now putting the values in the cost equations to check whether the conditions are satisfied.

y1= 10x1 +15x2

y1= 10 (5) + 15(14)= 50 + 210= $ 260

y3= 15x5+ 21x6

y3= 15 (13) + 21(5)

y3= 195+105= $ 300

x1 +x2 + x3+x4+ x5+ x6 ≥ 1500

5+14+x3+5+13+5≥ 1500

x3≥ 1500-42

x3≥ 1458

y2= 12x3+18x4

y2= 12 (1458)  + 18 (5)

y2= 17496 +90

y2= $ 17586

The cost can be minimized if the number of students from

                                 Undergraduate         Graduate

East Region              X1≤ 5                            X2  ≥ 13.67

Central                      X3≥ 1458                   X4 ≥ 4.167

West                          X5 ≥ 13                          X6 ≥ 4.76

This will result in the required number of students that is 1500

Constraints:

East Undergraduate must not be greater than 5

East Graduate must not be less than 13

Central Undergraduate must  be greater than 1458

Central Graduate must  be greater than 4

West Undergraduate must  be greater than 13

West Graduate must  be greater than 4

The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.

The east region has a least cost of $260 and west region has a cost of $300.

The total minimum cost would $ 17586 +$260+ $300= $ 18146

In basketball each basket scored from inside the 3 point line is worth 2 points. Each basket scored from outside the 3 point line is worth 3 points. Part B

Answers

Thank you for the information. What is the question?

A school has a 20% sale on all headphones. With this discount, the price of headphones is $47. What was the original price of the pair of headphones?​

Answers

Answer:

$56.40

Step-by-step explanation:

If you take the $47.00 and add 20% you will get 56.4

A ski resort claims that there is a 75% chance of snow on any given day in January and that snowfall happens independently from one day to the next. A family plans a four-day trip to this ski resort in January. Let X represent the number of days it snows while the family is there. What are the mean and standard deviation of X?

Option Choices:

Answers

Answer:

Its D

Step-by-step explanation:

Using the binomial distribution, it is found that the mean and the standard deviation of X are given as follows:

[tex]\mu_X = 3, \sigma_X = 0.87[/tex]

What is the binomial probability distribution?

The expected value of the binomial distribution is:

[tex]\mu_X = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sigma_X = \sqrt{np(1-p)}[/tex]

In this problem, the proportion and the sample size are given as follows:

p = 0.75.n = 4.

Hence, the mean and the standard deviation are given by:

[tex]\mu_X = np = 4(0.75) = 3[/tex]

[tex]\sigma_X = \sqrt{np(1-p)} = \sqrt{4(0.75)(0.25)} = 0.87[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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i need 33 and 35!!!!!

Answers

33. Y= x/x-1 35. A=C^2/4pi

please help me someone​

Answers

Base = 5 * 12 = 60 in^2

Height = 4 in

Perimeter is the sum of all straight

Perimeter = 20 + 16 + 48

Perimeter = 84 in

Perimeter of base = 12 * 2 + 5 * 2 = 34

Can anyone help? ................

Answers

the square stands for a right angle which is 90

there is a 90 and a 26 which equals 116

a line equals 180 degrees

you have to subtract 116 from 180

x=64

answer:

x = 64

step-by-step explanation:

in order to solve this, we have to add up all the angles given and subtract from 360° in order to find xwe subtract from 360° because a circle adds up to 360°since there is a square shown as an angle, it is 90°

so we know that, 180 + 26 + x + 90 = 360°

now, we solve for x

180 + 26 + x + 90 = 360°

296 + x = 360

x = 64°

simplify: The question in photo ​

Answers

Answer:

Step-by-step explanation:

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double
the height.

The volume of the cylinder is __ in.³.

The volume of a cylinder with the same radius and double the height is __ in.³.​

Answers

about 78.54

V=π·5^2·1 = 78.54

Answer:

Find the volume of the cylinder.

[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times ( {5)}^{2} \times 1 }[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} =3.14 \times 25 \times 1 }[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} =78.50 \: in {}^{3} }[/tex]

Find the volume of a cylinder with the same radius and double the height.

[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times {(5)}^{2} \times 2}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times 25 \times 2}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 157 \: in {}^{3} }[/tex]

Pat Harford is a student taking a statistics course. unfortunately, Pat is not a good student. Pat does not read the textbook before class, does not do homework, and regularly misses class. Pat intends to rely on luck to pass the next quiz. the quiz consists of 10 multiple choice questions. Each question has five possible answers, only one of which is correct. Pat plans to guess the answer to each question.
1) What is the probability that Pet gets no answer correct?
2) What is the probability that Pat get two answer correct?​

Answers

Answer:

pz

Step-by-step explanation:

One recipe makes 8 1/2 cups of potato salad. If one serving is 1/2 cup, how many servings does the recipe make?

Answers

Answer:

17

Step-by-step explanation:

8.5 / 0.5

A number is equal to half the sum of the same number and ten. Set up and equation and find that number.

Answers

9514 1404 393

Answer:

n = n/2 + 1020

Step-by-step explanation:

Let n represent the number. Then half the number is n/2. We are told that ...

  n = n/2 +10 . . . . the number equals half the number plus 10

  n/2 = 10 . . . . . . .subtract n/2

  n = 20 . . . . . . . . multiply by 2

The number is 20.

One plumber charges a flat fee of $50 to come to the house and then
$20 per hour. If h represents the number of hours that the plumber spent
fixing the problem and C represents the total charge, which of the following
equations shows how to determine the total fee charged?

C=50+20h

C=(50+20)h

C=h+50+20

C=20+50h

Answers

Answer:

C=50+20h

Step-by-step explanation:

The $50 dollars in this equation is a flat fee, no variable to it. It doesn't increase or decrease depending on the number of hours. The $20 dollars is dependent on the number of hours the plumber works. If the plumber works 2 hours they get $40 dollars, the amount the plumber receives depends on the hours worked. The h in the equation is a placeholder for hours worked. To solve the equation just replace h with the hours worked and solve to get the answer.

Which equation shows 3/4 x+1/2y=1/8 converted to slope intercept form?
A. Y=3/2x-1/4
B.Y=-3/8x+1/16
C. Y=3/8x-1/16
D.Y=-3/2x+1/4

Answers

Answer:

D

Step-by-step explanation:

PLEASE HELP

Which equation is the slope-intercept form of this equation?

y−10=−2(x+6)

a) y−10=−2x−12
b) 2x+y=−2
c) y=−2x−2
d) x=−12y−1

Answers

Answer:

C.

Step-by-step explanation:

The slope intercept form is:

y= mx +b

so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.

Eight members of a school marching band are auditioning for 3 drum major
positions. How many ways can students be chosen to be drum major?
*

Answers

Answer:

Step-by-step explanation:

4x+(3x+2)=3x(4+2)................................

Answers

x=2/11 that’s the soul it ion

Find the surface area of the square pyramid.
S=

Answers

I believe the answer is 40 degrees

what is the lenght of rectangle whose area is 240cm​

Answers

Answer:

16

Step-by-step explanation:

I don't know  how to explain but it is 16

Answer:

Since the Width (W) of the rectangle is not given, the answer would be Length (L) = 240/W

Step-by-step explanation:

A = L*W

240 = L*W

240/W = L

A freshly isolatedsample of 90Y was found to have an activity of 8.9 x 105 disintegrations per minute at 1:00pm on December 3, 2003. At 2:15pm on Dec, 17, 2003, its activity was redetermined and found to be 2.6 x 104 disintegrations per minute. Calculate the half-life of 90Y.

Answers

Answer:

3960 minutes

Step-by-step explanation:

From;

0.693/t1/2 = 2.303/t log No/N

t1/2 = half life of 90Y

No = initial activity of 90Y =  8.9 x 10^5 disintegrations per minute

N= activity of 90Y after time t = 2.6 x 10^4 disintegrations per minute

t = time taken

Since the time elapsed is 20,235 minutes, we substitute into the formula above.

0.693/t1/2 = 2.303/20235 log 8.9 x 10^5/2.6 x 10^4

0.693/t1/2 =  1.75 * 10^-4

t1/2 = 0.693/ 1.75 * 10^-4

t1/2 = 3960 minutes

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A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer. What made Countee Cullen's poetry an important part of the Harlem Renaissance?A. his direct treatment of racial identity issuesB. his use of traditional forms and themesC. his attitude toward European literatureD. his longtime residency in New York City solve each inequality and show work.1) 4x - 2 > 2x + 82) -3x - 6 > 4x - 203) 4(x + 1) < 3x - 24) 2x + 3 + x < -2x + 1 + 125) 2(x - 1) > 4x + 4 - 5x6) 2 + 4x -7 < 8x + 2 - 2x Ill mark as brainliest!!!! Plz no links Select the type of job best demonstrated in each example.Linda works 15 hours a week as a member of her city council.Rafael is a Municipal Clerk who has a retirement plan provided by his employer, the municipal government.The number of hours that Amber works as an Air Crew Officer varies each week, but she is paid the same amounteach week no matter what 3. The human body has devised an excellent method to keep the body pH under control. a. What principle underlies the constant pH of human blood, and how does the blood achieve this What characteristics of government in ancient Greece are the same as those in the U.S. government today? What characteristics are different?Pls help PLease save me from this hw. g Given a state of stress and , where is a positive constant with units of , what is the maximum allowable value of to avoid failure according to the Tresca/von Mises criterion if the material has yield strength . Please help me, I haven't learned this yet so I have no idea what to do.I am giving 30 points for this. 4- What force must be applied to a surface area of 0.0025m , to create a pressure ol200.000Pa? what is the disadvantage of forgetting to do your homework 3. ContestoLogramos darle el ritmo adecuado al poema?una nia llegando al mar Find the volume of the pyramid. v= The beauty of the world lies in the diversity of its people -(unknown) Do you agree with this quote? Share your thoughts.. Where is Sonia when a six-year-old asks her if living with her disease ever gets easier? (a) In line for groceries. (b) A conference on juvenile diabetes. (c) A grammar school graduation. (d) Christmas dinner at her mother's house. How would not having a grocery store near your home affect you? (Four sentences) Boeing helped the United States during World War II by operating several bases to train troops. increasing its shipbuilding activities. expanding its commercial fishing operation. becoming a key aircraft producer. Does anyone know how toSolve this S(x)=5x+5T(x)=_3x +4The value of t(s(2))