Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.

Answers

Answer 1

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Answer 2

Surface area of square pyramid is 95 square yard.

What is surface area of square pyramid?

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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Related Questions

A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?

Answers

Year 1: $1300x0.04= $52 + $1300 = $1352
Year 2: $1352x0.04 = $54.08 + $1352 = $1406.08
Year 3: $1406.08x0.04 = $56.24 + $1406.08 = $1542.62
Year 4: $1542.62 x 0.04 = $61.70 + $1542.62= $1604.32
Year 5: $1604.32 x 0.04 = $64.17
The Student will have $1668.14 at the end of 5 years. I broke it down by year I hope this helps

Please help me i dont know what to do

Answers

Answer:

Help you with what?

........................................................................................
Solve
........................................................................................

Answers

Answer:

10 - 15%

Step-by-step explanation:

Just guessing

United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.

Answers

Answer:

uh

Step-by-step explanation:

Find the value of x in the parallelogram below.

Answers

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Please help givin brainliest

Answers

Answer:

Answer H

Step-by-step explanation:

the answer i think is


H

Find the area of the composite figure?

Answers

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

The answer to your question is four hundred

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Answers

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?

Answers

Answer:

15.36mm

Step-by-step explanation:

The area of a triangle can be defined as B x H or L x H,

In your case, I'm assuming you meant base as length, so just plug into the equation:

L x H = 420.92mm2

27.4 x H = 420.92

H = 15.36

If you want to be exact, it is 15.3620438

The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.

The area of a rectangle is a product of is two adjacent sides i.e. length * width

Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36

Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

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9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answers

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost

Answers

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

[tex]$C= 0.12x+0.08y$[/tex]

Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]

Domain : [tex]$3 \leq x\leq 7$[/tex]

Range : [tex]$0\leq y\leq4$[/tex]

In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715. Based on a linear model, what is the predicted average price for 2014? Ston Down​

Answers

Answer:

The predicted average price for 2014 is of $38,304.

Step-by-step explanation:

Linear model:

In a linear model, the average price increases by the same amount during each period.

In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.

In a period of 6 years, the increase was of:

28715 - 19126 = $9,589

Based on a linear model, what is the predicted average price for 2014?

Another period of 6 years, so it will increase by 9589 more. Than

28715 + 9589 = 38304

The predicted average price for 2014 is of $38,304.

The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B

Answers

Answer:

(2,−4).

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Answers

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

The experimental probability that Jason will roll a 2 is 3/14.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

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perimeter 254 meters and dimension measures 6 meters​

Answers

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..

Answers

Answer:

edf

Step-by-step explanation:

I think it’s real numbers
Sorry if it’s wrong

please help asap ! no scam links or scam comments for points or reported.

Answers

Answer:

C

Step-by-step explanation:

it is -25x    X= each time he goes rock climbing

I need help with my math assignment please

Answers

Answer:

angles 1 and 6

Step-by-step explanation:

Answer:

C. angle 2 and angle 7

Step-by-step explanation:

hope this helps, have a nice day :)

blank plus 1/5 equals to 1/2

Answers

Answer: 3/10

Step-by-step explanation:

To get the value for the blank, treat it as a variable. Let’s say this blank is x.

x + 1/5 = 1/2

Subtract 1/5 from both sides:

x = 1/2 – 1/5

x = 3/10

The blank is 3/10.

Hope this helps!

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account

Answers

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

i am so confused. not sure how to solve need step by step instruction to help please

given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)

Answers

Answer:

13

Step-by-step explanation:

Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.

-2(-5)+3=13

ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!

Answers

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Each interior angle of a regular nonagon has a measure 13x+10°. What is x?

Answers

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

please help i am giving away brainliest

A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?

A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L

No dam links

Answers

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

help please. will give Brainly.​

Answers

Answer:

a10 = 15

an = 6n - 45

Step-by-step explanation:

a12 = 27 = a + 11d - eq 1

a14 = 39 = a + 13d - eq 2

eq 2 - eq 1

2d = 12

d = 6

a + 11(6) = 27

a + 66 = 27

a = -39

a10 = a + 9d = -39 + 9(6) = 15

Tn = a + (n-1)d

-39 + 6(n - 1)

-39 + 6n -6

an = 6n - 45

X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining

Answers

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

NEED HELP IN FINDING AREA

Answers

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}

425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}

425 + 312 + (6 * 12) {6 by 12 is 72.}

425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}

737 + 72

809 km²

The area of this figure is 809 km².

the probability that a student takes spanish is 70%. The probability that a student takes spanish and they are a freshman is 30% what is the probability that a randomly selected student is a freshman given that he/she takes spanish

Answers

30%....................................

Answer:  At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68

Step-by-step explanation: u divide

PLEASE HELP 25 POINTS

The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.




Which answer correctly identifies the elevations of both points on the map?






Point X= 1500m, Point Z= 2000m


Point X= 1550m, Point Z= 1600m


Point X= 1600m, Point Z= 2050m


Point X= 2050m, Point Z= 1600m

Answers

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

Help please!!!! I’ll appreciate it so much!

Answers

Question 1) x + 6 = 20
x + 6 - 6 = 20 - 6
x = 14

Question 2) x - 2 = 5
x - 2 + 2 = 5 + 2
x = 7

Question 3) 15 + m = 9
15 - 15 + m = 9 - 15
m = -6
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