34 in.
16 in.
22 in.
Lateral Surface Area =
in squared
Total Surface Area =
in squared
Volume =
in cubed

34 In.16 In.22 In.Lateral Surface Area =in SquaredTotal Surface Area =in SquaredVolume =in Cubed

Answers

Answer 1

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = [tex]\sqrt{1156-256}[/tex]

     = [tex]\sqrt{900}[/tex]

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                           = [tex]\frac{1}{2}(30)(16)[/tex]

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

34 In.16 In.22 In.Lateral Surface Area =in SquaredTotal Surface Area =in SquaredVolume =in Cubed

Related Questions

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

Roller skates that usually sells for $125 is on sale for 35% off. Find the sale price.

Answers

Answer:

$81.25

Step-by-step explanation:

First find 35% of 125 which is 43.75

Next subtract 43.75 from 125

Your answer is $81.25

The diameter of the colosseum is about 167 meters. Therefore the circumference of the colosseum is

Answers

Answer:

C≈524.65m

Solving for C

C=πd=π·167≈524.64597m

A rectangle has a perimeter of 42 ft its length, L, is 3 feet more than twice its width, W.

(c) Solve the system of equations that you just created by substitution to find the values of the length and width.​

Answers

Answer:

Length of rectangle = 15 feet

Width of rectangle = 6 feet

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 ft

Length of rectangle = 2[Width of rectangle] + 3

Find:

Value of length and width

Assume:

Width of rectangle = w

SO,

Length of rectangle = 2[w] + 3

Perimeter of rectangle = 2[l + b]

42 = 2[2w + 3 + w]

2[3w + 3] = 42

6w + 6 = 42

6w = 42 - 6

6w = 36

w = 36 / 6

w = 6

So,

Width of rectangle = 6 feet

Length of rectangle = 2[w] + 3

Length of rectangle = 2[6] + 3

Length of rectangle = 12 + 3

Length of rectangle = 15 feet

Find the average number of people in these cities: New York, Philadelphia, Chicago and Detroit a. 3.35 million b. 40 million. C. 4.0 million d. 33.million

Answers

Answer:

The answer is maybe going to be D which is 33 million

Step-by-step explanation:

New york is a big city

He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.

Answers

Answer:

Percent error = -4.02 (Approx.)

Step-by-step explanation:

Given:

Estimated pool dimension = 15 ft long and 35 ft wide

Actual pool dimension = 14.5 ft long and 34.75 ft wide

Find:

Percent error

Computation:

Area of Estimated pool = 15 x 35

Area of Estimated pool = 525 ft²

Area of Actual pool = 14.5 x 34.75

Area of Actual pool = 508.875 ft²

Percent error = [(Actual - Estimated) / Estimated]100

Percent error = [(508.875 - 525) / 525]100

Percent error = [(-21.125) / 525]100

Percent error = -4.02 (Approx.)

Square 1 has a area of 24 square units if square 2 is half the size what is the ratio of the area of square one to square two?

Answers

Answer:

Step-by-step explanation:

I'm going to guess that 1/2 the size means the sides are 1/2 the size.

Square 1 has an area of 24. The sides are s, so the area is found by using s^2

The second square is made from sides that are 1/2 s

Area = 1/2 s * 1/2 s

Area = 1/4 s^2

Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 =  1/0.25

Write an expression showing 5 less than the number K

Answers

Answer:

K-5

Step-by-step explanation:

Five less than K would be K-5.

Real word example where a
piecework function might be used

Answers

9514 1404 393

Explanation:

Garment factory: workers may get paid by the number of pieces they complete.

__

Wood chopping: the worker gets paid by the number of cords of wood they produce, not by how long it takes.

__

Haircut -- the cost is the same (for the same type haircut) even if more time is spent

____

The above are instances where an individual worker gets paid by the piece they produce. There are numerous instances of companies getting paid by the job, regardless of the length of time or the quantity of materials required to do the job.

Lawn mowing -- the price is fixed each time the crew mows the lawn

Oil Change -- the cost of changing the oil in the car is not dependent on the time it takes or the amount of oil used

Car wash -- a fixed price is paid each time (at an automatic car wash)

which is the largest interval over which the function shown in the table is increasing?
x y=-- x2 ?
-4
-8
-
-2
-2
(x, y)
(-4,-8)
(-2,-2)
(0,0)
(2.-2)
(4.-8)
0
NO
-2
4
-8
O
A. x < -2
O B. x<0
C. X>0
D. X> 2

Answers

Answer:

x < 0

Step-by-step explanation:

If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0).  So, the graph is increasing from -∞ to 0.

4) What is the perimeter of a square that has an area of 262.44 feet?

Answers

Answer:

64.8 ft

Step-by-step explanation:

A square has all its sides equal

Therefore to get one side from its area is simply finding the square root of its area

√262.44=16.2ft

Having the one side then perimeter= to the four equal sides × the dimensions of one side

=4×16.2

=64.8 ft

m Find the measure of the angles.

Answers

A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m. Find the measure of θ in degrees. (Round your answer to one decimal place.)

Answer:

where is your figure please send it

Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?

Answers

Answer:

Dec 10

Step-by-step explanation:

0.25 liter = 250 ml

4 ml * 3 = 12 ml

250/12 = 20.83 days

Nov 20 - Nov 30: 11 days

Dec 1 - Dec 9: 9 days

On December 9, she can still take her 3 doses.

By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.

On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.

Please answer please

Answers

9514 1404 393

Answer:

  3629.84 cm²

Step-by-step explanation:

Put the given numbers into the area formula and do the arithmetic.

The area of a sphere is given by ...

  A = 4πr²

  A = 4(3.14)(17 cm)² = 3629.84 cm²

The ball has a surface area of about 3629.84 cm².

Replacing only the minimum value in a data to a smaller number will also change the mean

A.always

B. Sometimes

C.never true​

Answers

Don’t click the link in the other answer. The answer is b
Sometimes


Explanation

A chi-square test was conducted to investigate whether there is an association between a person's favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked to pick their favorite topping from chocolate sauce, peanuts, crumbled cookies, crushed candies, or none of these. The hypothesis test had a test statistic of 24.97 with an associated p-value of 0.015. If the significance level of the test was a = 0.05, which of the following is the correct decision for this hypothesis test?
A. There is not convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
B. There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
C. There is convincing statistical evidence to suggest there is not an association between favorite ice cream flavor and favorite topping.
D. There is proof that a person's favorite ice cream topping is dependent on the person's favorite ice cream flavor.
E. There is proof that a person's favorite ice cream topping is independent of the person's favorite ice cream flavor.

Answers

Answer:

B

Step-by-step explanation:

I hope it is correct :)

Answer:

The answer is definitely B

Step-by-step explanation:

I just did this question on my test.

Find a formula for the exponential function passing through the points
4
3,
and (1,20)
125
f(x) -

Answers

Answer:

[tex]y = 4*5^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-3,\frac{4}{125})[/tex]

[tex](x_2,y_2) = (1,20)[/tex]

Required

Determine the exponential equation

An exponential equation is of the form: [tex]y = ab^x[/tex]

In: [tex](x_2,y_2) = (1,20)[/tex]

[tex]20 = ab^1[/tex]

[tex]20 = ab[/tex] ---- (1)

In: [tex](x_1,y_1) = (-3,\frac{4}{125})[/tex]

[tex]\frac{4}{125} = ab^{-3}[/tex] --- (2)

Divide (1) by (2)

[tex]20/\frac{4}{125} = \frac{ab}{ab^{-3}}[/tex]

[tex]20/\frac{4}{125} = b^4[/tex]

[tex]20*\frac{125}{4} = b^4[/tex]

[tex]5*125 = b^4[/tex]

[tex]625 = b^4[/tex]

Take 4th roots of both sides

[tex]\sqrt[4]{625} = b[/tex]

[tex]5 = b[/tex]

[tex]b = 5[/tex]

Substitute [tex]b = 5[/tex] in [tex]20 = ab[/tex]

[tex]20 = a * 5[/tex]

Solve for a

[tex]a = 20/5[/tex]

[tex]a = 4[/tex]

Hence, the equation is:

[tex]y = 4*5^x[/tex]

Help please will mark brainliest!!!

Answers

Answer:

18

Step-by-step explanation:

113.1 approximately. Formula: pi X r^2 X height

What is the unit price of a granola bar if 8 granola bars cost $4.16

Answers

Answer:

divide 8 by 4.16

Step-by-step explanation:

Answer:

52 cents

Step-by-step explanation:

help me find the answers please

Answers

Answer:

x = 6.25

Step-by-step explanation:

Suppose y = 2x  - 2.5. Find x when y = 10

this gives us the equation:

10 = 2x - 2.5

add 2.5 to both sides

2x = 12.5

divide both sides by 2

x = 6.25

Please LMK if you have questions.

The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?

Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.

Answers

Answer:

Last one. Combine like terms onto side of the equation.

Step-by-step explanation:

The first step in determining the solution to the system of equations,   [tex]y = -x^2 - 4x - 3[/tex]  and [tex]y = 2x + 5[/tex] , algebraically is to set the two equations equal as  [tex](-x^2 - 4x - 3) = 2x + 5[/tex], will be to set the equations equal to each other.

What is system of equations ?

System of equations comprises of two or more equations of two or more variables and seeks common solutions to the equations.

We have,

  [tex]y = -x^2 - 4x - 3[/tex]  

  [tex]y = 2x + 5[/tex]

So, to determine solution to these System of equations,

We have to

Set the equations equal to each other and solve for the value of [tex]x[/tex],

i.e.

[tex]-x^2 - 4x - 3=2x+5[/tex]

[tex]-x^2-6x-8=0[/tex]

[tex]x^2+6x+8=0[/tex]

[tex]x^2+4x+2x+8=0[/tex]

[tex]x(x+4)+2(x+4)=0[/tex]

[tex](x+2)(x+4)=0[/tex]

⇒ [tex]x+2=0[/tex]

   [tex]x=-2[/tex]

   [tex]x+4=0[/tex]

  [tex]x=-4[/tex]

So, from the above solution we came to know that the first step in determining the solution to the given System of equations is to set the equations equal to each other.

To know more about System of equations click here

https://brainly.com/question/13760328

#SPJ2

Simplify: (3^5)^2 / 3^-2


A) 3^10

B) 3^9

C) 3^12

D) 3^8

Answers

Answer:

3^12

Step-by-step explanation:

(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441

= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12

Leanna opens a savings account with an initial balance of $100. She then deposits $50 each month. Use an equation, a table, and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Leanna opened the account, m.

Part A Write an equation to represent the problem. Explain how the value of a changes as m increases.

Part B Make a table to show the relationship between m and a. Find 5 ordered pairs.

Part C Use your table from Part B to draw a graph to represent the situation.

Please answer all questions

Answers

See the attached picture:

sorry for the bad picture. I’m confused on how to solve this as it feels like I don’t have all the information needed.

Answers

hey can you help me with my homework
Answer is B -1

Solution solved below plus sorry for the bad writing.

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = –6x
(-3, [?]); ([ ]), ([ ])

Answers

Answer:

[tex] {x}^{2} - 2x + 3 = - 6x \\ = {x}^{2} - 2x + 6x + 3 = 0 \\ \\ = {x}^{2} + 4x + 3 = 0 \\ = (x + 1)(x + 3) \\ = x = - 1and \: x = - 3[/tex]

what is the distance between x=-2 and x=10

Answers

Answer:

12 prob

Step-by-step explanation:

The answer is 12.
Explanation: Look on a number line and count how many numbers it takes you to get to 10.

An insect population triples every 4 months. If the population started out with 24 insects, how many
insects would there be in 16 months?

Answers

Answer:

After 16 months there will be a population of 1,944 insects.

Step-by-step explanation:

Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:

X = 24 x 3 ^ (16/4)

X = 24 x 3 ^ 4

X = 1,944

Thus, after 16 months there will be a population of 1,944 insects.

What is the arc measure of major arc \stackrel{\large{\frown}}{ACB}
ACB

A, C, B, start superscript, \frown, end superscript on circle PPP in degrees?

Answers

Answer:

286°

Step-by-step explanation:

A circle is the locus of a point such that its distance from a fixed point (known as the center) is always constant. This distance is known as the radius of the circle.

A major arc is an arc larger than a semicircle, therefore its measure is greater than 180°. A minor arc is an arc smaller than a semicircle, therefore its measure is less than 180°.

The arc measure of [tex]\stackrel{\large{\frown}}{ACB}=angle\ about\ a\ point-\stackrel{\large{\frown}}{AB}[/tex]

The arc measure of [tex]\stackrel{\large{\frown}}{ACB}=360-74=286^o\\[/tex]

Complete the sentence.
9 is 36% of ??

Answers

Answer:

25

Step-by-step explanation:

Ratios:

[tex]\frac{36}{100} =\frac{9}{x} \\\\36x=900\\x=25[/tex]

Double check:

25(0.36) = 9

Select the figure that is not a net for a cube. Complete the explanation.




When the figure is folded, _____
of the faces will overlap.

Answers

I believe it’s D, as 2 of the faces will overlap
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