Find the total surface area.

Find The Total Surface Area.

Answers

Answer 1

The pyramid consists of 4 congruent triangular faces, and 1 square base.

Area of 1 triangular face:

1/2 * (5 in)/2 * (5.6 in) = 7 in^2

Area of base:

(5 in)^2 = 25 in^2

Then the total surface area is

4 * (7 in^2) + 25 in^2 = (28 + 25) in^2 = 53 in^2


Related Questions

can someone explain how to use sin cos and tan on right angled triangles

Answers

Answer:  d = 47.3897287242421 approximately

Round this however you need to

=================================================

Explanation:

The reference angle is 56 degrees. The side 26.5 is adjacent to this angle as it is the leg closest to the angle (in contrast to the opposite leg or opposite side that is furthest from the reference angle)

The hypotenuse is d. The hypotenuse is always the longest side. The longest side is always opposite the largest angle of a triangle.

We will use the cosine ratio as it is the ratio of adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

cos(56) = 26.5/d

d*cos(56) = 26.5

d = 26.5/cos(56)

d = 47.3897287242421

You use your calculator for the last step shown above. Make sure your calculator is in degree mode. Round that value however you need to.

Here is the formula of sin cos tan :

sin x = opposite/hypotenuse

cos x = adjacent / hypotenuse

tan x = opposite / adjacent

d = hypotenuse

x = the angle known in your pic

like example if in your picture:

adjacent = 26.5

if want to find the d

cos x = adjacent / hypotenuse

cos 56 = 26.5 / d

d = 26.5 : cos(56)

d = 47.390 (3 significant figures)

and if want to find the opposite

tan x = opposite/adjacent

tan 56 = opposite/ 26.5

opposite = 26.5 × tan(56)

opposite = 39.288

-> Sorry if im wrong

8³=512 indique o expoente

Answers

Your answer is 8 is exponent

Jamie and Imani each play softball. Imani has won 5 fewer games than Jamie. Is it possible for Jamie to have won 11 games if the sum of the games Imani and Jamie have won together is 30?

Answers

Answer:

No.

Step-by-step explanation:

They are giving us the information that Imani has 5 fewer wins than Jamie and they combine for 30 wins total. The question is asking us is it possible for Jamie to have one 11 games. To find how many games Imani won, we have to subtract 5 from Jamie's wins. 11-5 = 6. To then see if the wins add up to 30, we have to add Jamie's and Imani's wisn together, 11 + 5 ≠ 30, so therefore it is not possible for Jamie to have won 11 games.

g(x)=sqrt8x what is domain of g

Answers

Answer:

x > or equal to 0

Step-by-step explanation:

you're welcome

Answer:

x > or equal to 0

HELP ME PLEASE THE DIAGRAM SHOWS A CIRCLE INSIDE A CIRCLE WORK OUT THE AREA OF THE CIRCLE

Answers

Answer:

64π

Step-by-step explanation:

Since the diameter of the circle is 16, the radius is half of that which is 8.

Area = πr² = 64π

Answer:

200.96 units[tex] {}^{2} [/tex]

Step-by-step explanation:

Radius = 8 cm

Now, finding the area of circle:

[tex]\pi \: {r}^{2} [/tex]

Plug the values

[tex] = 3.14 \times {8}^{2} [/tex]

Evaluate the power

[tex] = 3.14 \times 64[/tex]

Calculate the product

[tex] = 200.96 \: {cm}^{2} [/tex]

Hope this helps..

Best regards!!

Please help I’m being timed!!! System shows there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?

Answers

Answer:

4th one

Step-by-step explanation:

which graph represents exponential decay ​

Answers

Answer:

1

Step-by-step explanation:

Solve for x. 60 10 20 120

Answers

Answer:

Hey there!

We have the angle is equal to half the measure of the arc of 120 degrees. (Just another rule for circles)

7x-10=0.5(120)

7x-10=60

7x=70

x=10

Hope this helps :)

Answer:

x = 10

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

7x-10 = 1/2 ( 120)

7x -10 = 60

Add 10 to each side

7x -10+10 = 60+10

7x = 70

Divide by 7

7x/7 = 70/7

x = 10

On a trip mrs. ahmed drove 188 miles in 4 hours. On the return trip, she took a different route and traveled 197 miles in 4.5 hours. What was the average rate of speed for the trip?

Answers

Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time.  To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

--------------------------------------------------------

Edit:  Thanks to Chegsnut36 for calculation correction

Answer:

≅45.29

Step-by-step explanation:

Hey there!

To find the average rate speed we need to add all the same number.

188 + 197 = 385

4 + 4.5 = 8.5

Now to find the average rate we do,

385 ÷ 8.5 ≅ 45.29

Hope this helps :)


Determine the inequality represented by the following diagram

Answers

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

A climbing structure needs to be built in the shape of a square-based pyramid. Look at the diagram below. What is the perimeter of the flat, orange shape? PLEASE HELP A GIRL OUT

Answers

Answer:

40 m

Step-by-step explanation:

The perimeter of the flat, orange shape is the sum of all the sides that forms a boundary around the shape.

The shape is made up of 4 triangles having 2 equal side lengths each, which surrounds the center square.

Each side length of the triangle, that forms a boundary round the shape = 5 m.

There are 8 of this equal side length.

Perimeter = 8(5m) = 40 m

...............................

Answers

Answer:

[tex]2 \sqrt{10} [/tex]

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

[tex] = \sqrt{40} [/tex]

Simplify the radical expression

[tex] = \sqrt{2 \times 2 \times 10} [/tex]

[tex] = 2 \sqrt{10} [/tex]

Hope this helps...

Best regards!!

HELP PLEASE! Find the standard deviation for Data set 1 and 2. round to the nearest hundred. DATA SET ONE: 8.2, 11.6 8.7, 10.6, 9.4, 10.1, 9.3 DATA SET TWO: 9.3, 10.2, 8.1, 12.3, 8.7, 9.9, 10.1

Answers

Answer:

0.92 and 1.25 respectively

Step-by-step explanation:

0.92 and 1.25 respectively

first the mean of each value which is 9.7 and 9.8 respectively

standard deviation = square root of the mean deviation of each value

then deduct the mean from each element

and square each value and add them together. not you should square each deviation value before you add them

at last divide the result by the number of frequency and find it's square root

Answer:

0.92 and 1.25

Step-by-step explanation:

My other answer was deleted, I'm not sure why.

Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true? This triangle exists because the sum of any two side lengths is greater than the length of the third side. This triangle exists because the sum of 4 and 12 is less than 17. This triangle does not exist because the sum of any two side lengths is greater than the length of the third side. This triangle does not exist because the sum of 4 and 12 is less than 17.

Answers

Answer:

The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."

Answer:

This triangle does not exist due to the fact that the sum of 4 and 12 is less than 17

Step-by-step explanation:

The triangle formaction rule states that the 2 smaller sides must be able to combine and be greater than the greatest side.

Triangle

Sides - 3, 4, 5

3+4=7

Meaning the two smaller sides add up to because greater than 5.

Non-Triangle

Sides - 5, 6, 13

5+6=11

This means that this is not a triangle because the smaller sides ‘5 and 6’ do not add up to become greater than 13.

Gemma’s Triangle

Sides - 4, 12, 17

4+12=16

Hence, Gemma‘s figure is not a triangle because the 2 smaller sides ‘4 and 12’ don‘t add up to be greater than 17.

What the answer question now

Answers

Answer:

UW=41

Step-by-step explanation:

the tangent line and the radius always meet at a right angle(90 degrees)

UWV is a right angle triangle, apply the Pythagorean theorem:

a²+b²=c² (a=40, b=9, c=UW)

40²+9²=c²

c=√40²+9²=√1600+81=√1681

c= 41

the equation y=2(3^t) shows the number of infected people from an outbreak of the norovirus. the variable y represents the number of infected people and t represents time in weeks.

in how many weeks will the number if infected people reach 1458?

Answers

Answer:

Step-by-step explanation:

We have the equation

[tex] 2(3^t) = 1458[/tex]

Dividing by 2 on both sides we get

[tex] 3^t = 729[/tex]

Taking the natural logarithm on both sides we get

[tex] t \ln(3) = \ln(729)[/tex]

So t = \frac{\ln(729)}{\ln(3)} = 6.

So at 6 weeks we get 1458 infected people.

Given trapezoid PQRS, find the length of midsegment TU.

Answers

Answer:

Option (4)

Step-by-step explanation:

In the given picture,

Trapezoid PQRS has two points T and U as the midpoints of sides PS and RQ.

Segment TU joins the midpoints of the sides PS and RQ.

Mid-segment theorem states that "If a line joining midpoints of a trapezoid is parallel to the bases, length of this segment is half the sum of lengths of the bases."

Therefore, m(TU) = [tex]\frac{1}{2}(m\text{PQ}+m\text{SR})[/tex]

7x - 26 = [tex]\frac{1}{2}[(3x+23)+(9x-3)][/tex]

7x - 26 = 6x + 10

7x - 6x = 26 + 10

x = 36

m(TU) = 7x - 26

          = 7(36) - 26

          = 252 - 26

          = 226

Therefore, Option (4) will be the answer.



1. Following is the Receipt and Payment A/c. of a club for the year ended 31-03-2014.

Receipt ₹ Payment ₹

To Balance b/d 75,000 By Salaries 22,000

To Subscription By office expenses 8,000

2012-13 35,000 By Sports equipment

2013-14 9,50,000 (Purchased on 1-10-2013) 6,00,000

2014-15 55,000 10,40,000 By Telephone charges 12,000

To Donation 90,000 By Electricity charges 18,000

To Entrance Fees 60,000 By Travelling Expenses 6,000

To Locker rent 20,000 By 10% Fixed Deposit

To Donation for Building 1,50,000 (made on 1-07-2013) 7,00,000

By balance c/d. 69,000

14,35,000 14,35,000

Additional information:

a) Outstanding subscription for 2013-14 ₹80,000. Outstanding salaries as on 1-04-2013 were ₹2,000 and as on 31-03-2014 were ₹4,000.

b) One third of Entrance fee to be treated as General income.

c) Locker rent rate is ₹2,000 per month.

d) Depreciation on sports equipment 10% p.a.

Prepare Income and Expenditure A/c. for the year ending 31-03-2014.

Answers

Answer:

Excess of income over expenditure is ₹1,185,500.

Step-by-step explanation:

Note: The data in this question are merged together. They are therefore sorted before answering this question. See the attached pdf file for the sorted question.

The question is now answered as follows:

Question: Prepare Income and Expenditure A/c. for the year ending 31-03-2014.

Answer and explanation:

Note: See the attached excel file for the Income and Expenditure A/c. for the year ending 31-03-2014.

Both receipts and payments account and income and expenditure account are prepared by not-for-profit organizations such as charity organizations, human right campaign, clubs, etc.

Receipts and payments account is an account gives a summary of all the cash transitions, cash received and paid, that the organization engaged in during a particular period. It is similar to the cash book prepared by profit making organizations. The receipts and payments account is prepared in or to determine the balance of cash in hand or at bank or bank overdraft at the end of the period.

Income and expenditure account is an account gives a summary of all incomes and expenses of an organization during a particular period. It is similar to the trading and profit and loss account prepared by profit making organizations. The income and expenditure account is prepared in order to determine whether there is a surplus or a deficit balance during the period.

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cm

Answers

Answer: Choice B) 4 cm and 7 cm

=======================================================

Explanation:

For any parallelogram, the opposite sides are the same length. Think of a rectangle, though we could have angles that aren't 90 degrees.

(5n-6) and (3n-2) are the lengths of the opposite sides. Set them equal to one another and solve for n.

5n-6 = 3n-2

5n-3n = -2+6

2n = 4

n = 4/2

n = 2

We can use this to find the length of the opposite sides

5n-6 = 5*2-6 = 10-6 = 4

3n-2 = 3*2-2 = 6-2 = 4

We get 4 each time which helps confirm we have the correct value for n.

The opposite sides are 4 cm each. The other side is

2n+3 = 2*2+3 = 4+3 = 7

Looking at adjacent sides (sides that are next door neighbors), we see 4 cm and 7 cm.

We could easily say "7 cm and 4 cm" as order doesn't matter. Though this isn't listed so we'll go with "4 cm and 7 cm" instead.

Given: EG - diameter m arc FG =41°, m arc EH =53° Find: m∠E, m∠GPF

Answers

Answer: m∠E = 20.5°

              m∠GPF = 47°

Step-by-step explanation: An inscribed angle is an alge formed with its vertex on the circle. Its relation with arc is that the measure of an inscribed angle is half the measure of the intersected arc. For that reason:

m∠E = [tex]\frac{arcFG}{2}[/tex]

m∠E = [tex]\frac{41}{2}[/tex]

m∠E = 20.5°

Angle in F is:

m∠F = [tex]\frac{arcEH}{2}[/tex]

m∠F = [tex]\frac{53}{2}[/tex]

m∠F = 26.5°

The angle GPF is external to the triangle EPF, so the angle can be found by the following definition: The measure of an external angle of a triangle equals the sum of the non-adjacent angles, i.e.:

m∠GPF = m∠E + m∠F

m∠GPF = 20.5 + 26.5

m∠GPF = 47°

Answer:

b

Step-by-step explanation:

Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).

Answers

Answer:

2x-(3x+5) = -x-5

Step-by-step explanation:

     2x + 0

-

     3x + 5

-———————-

     -x - 5

The athletic club at school sold raffle tickets to raise money for equipment. The club sold a total of 1050 tickets,515 to teachers and 235 tickets to staff. If the winning ticket was picked at random what is the probability of the teacher or other staff member?

Answers

Answer:

Probability of the teacher or other staff is 0.7143

Step-by-step explanation:

pr(teacher or other staff) = pr(teacher) + pr(other staff) - pr(teacher and other staff)

Total number of tickets = 1050

Number of tickets sold to teachers = 515

Number of tickets sold to other staff = 235

pr(teacher) = [tex]\frac{515}{1050}[/tex]

                 = 103 [tex]\frac{2}{10}[/tex]

                 = 0.4905

pr(other staff) = [tex]\frac{235}{1050}[/tex]

                    = 47 [tex]\frac{2}{10}[/tex]

                  = 0.2238

Since the picking of the wining ticket is mutually exclusive, then;

pr(teacher and other staff) = 0

Thus,

pr(teacher or other staff) = 0.4905 + 0.2238 - 0

                                         = 0.7143

rational equations representing work and rate

Answers

Answer:

3.6hours

Step-by-step explanation:

kevin-6hrs

so he gets 1/6 called in 1 minute

Anne-9 hrs

so she gets 1/9 called in 1 minute

together

1/6+1/9=5/18 called in one minute

so what about all which are 18/18

you get 3.6 hrs I guess

How many three-digit numbers can you make if you are not allowed to use any other digits except 1 and 2? (You may use 1 and 2 in a number more than once or not at all!)

Answers

The first digit can be 1 or 2.

For each one ...

The second digit can be 1 or 2.

For each one ...

The third digit can be 1 or 2.

That's (2•2•2)= 8 different possibilities.

PLEASE I NEED HELP ASAP! The function below represents the interest Jessi earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 1,000(1 + 0.05)x 1,000 1 0.05 1.05

Answers

Answer:

1000

Step-by-step explanation!

The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:

P = the amount of money invested (the principal)

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 1000(1 + 0.05)^x

In comparison, we can see that the term that represents the amount of money originally invested is 1000.

Answer:

(A) 1,000

Step-by-step explanation:

i just took the test

BEGINNING COORDINATES:
A- 2,2
B- 0,2
C- 4,4

Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′?
Question 1 options:


A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)


B)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)


C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)


D)
A′ (4, 0), B′ (0, 4), C′ (8, 8)

Answers

Answer:

The correct option is;

A'(4, 4), B'(0, 4), C'(8, 8).

Step-by-step explanation:

The beginning coordinates are;

A -2, 2

B - 0, 2

C - 4, 4

Given that triangle ABC is dilated by 2, the center of dilation being the origin, (0, 0), we have;

Given that the center of dilation is the origin, we multiply the x, and y values by the scale factor as follows;

(x, y) → (2·x, 2·y)

Which gives;

A - (2, 2) → A'(2×2, 2×2) = A'(4, 4)

B - (0, 2) → B'(2×0, 2×2) = B'(0, 4)

C - (4, 4) → C'(2×4, 2×4) = C'(8, 8)

The correct option is A'(4, 4), B'(0, 4), C'(8, 8).

Five years ago, Alan was thrice as old as Aron. After ten years, Alan will be twice as old as Aron. How old are Alan and Aron?

Answers

Alan will be 50 yrs old and Aron will be 20 yrs old

How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.
39π in3

117π in3

1053π in3

1521π in3

Answers

Answer:

1521 pi in^3

radius x radius x height x pi = volume

13 x 13 x 9 = 1521

We do not multiply by pi because it is already included

Hope this helps

Step-by-step explanation:

Multiply: (6x - 1)(6x +1)

Answers

i’m not positive but i think it’s 36x^2 -1

Answer:

36x^2 -1

Step-by-step explanation:

6x times 6x= 36x^2

6x times 1= 6x

-1 times 6x= -6x

-1 times 1= -1

so, ...

36x^2+6x+(-6x)+(-1) = 36x^2 -1

A driver decends 20 feet in the water from the boat at the surface of the lake. He then rose 12 feet and decends another 18 feet. At this point what is his depth in the water

Answers

Answer:

-26 ft  or 26 ft below the surface

Step-by-step explanation:

Starting at the surface

0

Descending 20 ft

0 -20 = -20

Rose 12 ft

-20 +12 = -8

Descends 18 ft

-8 -18= -26 ft

Other Questions
Which sentence from "Island of Hope, Island of Tears" is written using a cause-and-effect text structure? Her brother placed a housework-wanted ad in a local paper, and Katherine was soon hired as a governess with a wealthy family. After a brief courtship, he and Vida Dixon married and sailed to the United States in 1923. His brother Salvatore followed in 1908 and their siblings Antonio, Maria Anna, and Angelina joined them in 1913. The Sicurella family typified the kinds of professions many Italian immigrants undertook once they came to America in the early 1900s. Simplify the polynomial expressions by combining like terms, and then multiply the resultingbinomial expressions to find their product.(6x - 9 - 2x)(8 + 5x - 5) WILL MARK AS BRAINLIEST!!! 5. A 2011 study by The National Safety Council estimated that there are nearly 5.7 million traffic accidents year. At least 28% of them involved distracted drivers using cell phones or texting. The data showed that 11% of drivers at any time are using cell phones . Car insurance companies base their policy rates on accident data that shows drivers have collisions approximately once every 19 years. Thats a 5.26% chance per year. Given what you know about probability, determine if cell phone use while driving and traffic accidents are related. Step A: Let DC = event that a randomly selected driver is using a cell phone. What is P(DC)? (1 point) Step B: Let TA = event that a randomly selected driver has a traffic accident. What is P(TA)? Hint: What is the probability on any given day? (1 point) Step C: How can you determine if cell phone use while driving and traffic accidents are related? (1 point) Step D: Given that the driver has an accident, what is the probability that the driver was distracted by a cell phone? Write this event with the correct conditional notation. (1 point) Step E: What is the probability that a randomly selected driver will be distracted by using a cell phone and have an accident? (2 points) Step F: For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent events? Explain your answer. (2 points) Please can someone help Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentage). Assume that tip rates are normally distributed. 18.5 18.2 20 21.3 17.9 17.9 18.1 17.5 20 18 a) Express the null and alternative hypotheses in symbolic form for this claim. H0 : Select an answer Ha: Select an answer b) What is the test statistic. Round to 2 decimals. c) What is the p-value. 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The sample contains 250 men and 250 women, of which 44% of the men and 52% of the women favor his candidacy. Do these values indicate a difference in popularity?Use a 0.01 significance level.What are the hypothesis statements?a) H0:pm=pwHA:pmb) H0:pm=pwHA:pm>pwc) H0:pm=pwHA:pmpw Molarity of NaOH: From the following data calculate molarity of NaOH. Molar mass of KHP is 204.23 g/mol. Show calculation. Mass of Erlenmeyer flask + KHP 84.847 g Mass of Erlenmeyer flask 84.347 g Mass of KHP ??? Final buret reading 12.25 mL Initial buret reading 0.50 mL Volume of NaOH added ??? Individuals in the __________ adulthood stage tend to feel more responsible, more capable, and more financially independent than adolescents, yet they feel less capable than adults. A. Older B. Middle C. Young D. Emerging A box contains 6 red, 3 white, 2 green, and 1 black (total 12) identical balls. 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