A block of wood has the shape of a triangular prism. The bases
are right triangles. Find its surface area.
4.5 in.
6 in
16 in
75 in.
The surface area is in.2.

A Block Of Wood Has The Shape Of A Triangular Prism. The Basesare Right Triangles. Find Its Surface Area.4.5

Answers

Answer 1

Answer:

225 in.²

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)*L

Where,

b = 4.5 in.

h = 6 in.

s1 = 7.5 in.

s2 = 4.5 in.

s3 = 6 in.

L = 11 in.

Plug in the values

Surface area = 4.5*6 + (7.5 + 4.5 + 6)*11

Surface area = 27 + 198 = 225 in.²


Related Questions

At the movies, my friend bought a drink and popcorn. The total cost of my friend's purchase was $15. The drink cost $6. Which equation represents the total cost of my friend's purchase, along with the cost of the popcorn?

15 - 6 = p; p = 21

p + 15 = 6; p = 9

6 + 15 = p; p = 21

p = 15 - 6; p = 9

Answers

Answer:

The correct equation is: 6 + p = 15; p = 9.

Step-by-step explanation:

In this equation, p represents the cost of the popcorn, and the equation states that the total cost of my friend's purchase (the cost of the drink plus the cost of the popcorn) is $15. Therefore, the cost of the popcorn must be $9.

Answer:

Option D)

Step-by-step explanation:

Overall cost of both the items = $15

Cost of the drink = $6

Cost of popcorn = p

To Find : The equation that represents the Overall cost and the cost of the Popcorn

p + 6 = 15

p = 15 - 6

p = 9

Hence , the correct answer is p = 15 - 6; p = 9

if the perimeter of an equilateral triangle is 12 inches ,what is the side length

Answers

Answer:

4 in.

Step-by-step explanation:

By definition of a equilateral triangle, all sides and interior angle measurements are congruent.

Essentially, all interior angles = 60°

By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4

4 inches is the side length.

~

Answer:

4

Step-by-step explanation:

12 ÷ 3 = 4

all the sides are equal

Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.

Answers

Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

Which of the following terms correctly describe the object below?
Check all that apply.
D A. Prism
B. Solid
C. Cube
D. Pyramid
E. Polyhedron
F. Polygon

Answers

Answer:

A..is the answer of the question

Answer:

Polyhedron, Prism and Solid

Plzz help me Well Mark Brainliest if correct!
,

Answers

Answer:

B) 3:00

Step-by-step explanation:

Its B the answer is 3:00

Evaluate m - 16 when m = 30

Answers

[tex]m-16[/tex] when m is 30

Substitute for m with given value:

[tex](30)-16[/tex]

[tex]=\fbox{14}[/tex]

Answer:

Step-by-step explanation:

a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14

answer is 14

Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30)≥20 tell you?

Answers

The inequality g(30) ≥ 20 us that: D. Mona found no more than 20 seashells in the first 30 minutes.

What is an inequality?

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Greater than or equal to (≥).Greater than (>).Less than (<).Less than or equal to (≤).

How to determine the required function?

Assuming the variable g represents the total number of seashells and the variable x represents the total number of time (minutes), an inequality which would model the situation is given by;

g(x) ≥ x

when x = 30, we have;

g(30) ≥ 20

Therefore, Mona found no more than (less than or equal to) 20 seashells in the first 30 minutes.

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Complete Question:

Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.

What does g(30) ≥ 20 tell you?

It took at least 20 minutes for Mona to find 30 seashells.

Mona found at least 20 seashells in the first 30 minutes.

It took at least 30 minutes for Mona to find 20 seashells.

Mona found no more than 20 seashells in the first 30 minutes.

the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean

Answers

A 90% confidence interval for the population mean is; CI = (163.355, 166.655)

How to find the confidence Interval?

The formula to find the confidence level here is;

CI = x' ± z(s/√n)

Where;

CI is confidence  level

z-score at confidence level

x' is sample mean

s is standard deviation

n is sample size

We are given;

Sample mean; x' = 165

Sample size; n = 20

standard deviation; s = 4.5

z at CL of 90% = 1.645

Thus;

CI = 165 ± 1.645(4.5/√20)

CI = 165 ± 1.655

CI = (163.355, 166.655)

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I need help ASAP with this problem.

Answers

Using the arc length formula,

[tex]S=9\left(\frac{3\pi}{4} \right) \approx \boxed{21.2}[/tex]

Passes through
(-8, 3) and (8, -1).

Answers

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

How many tens do u need to make 280

Answers

Answer: 28

Step-by-step explanation:

280/10=28

(/=divide)

If you have 10 baskets and have 280 apples to evenly distribute them in every basket, you would have 28 in each basket. If that makes sense.

Hope this helps!

Find cos(a) in the triangle.

Answers

Answer:

B.)

Step-by-step explanation:

cosine is adjacent/hypotenuse

24/25

Answer: 24/25 (choice B)

This is because cosine of an angle is the ratio of the adjacent and hypotenuse

So,

cos(angle) = adjacent/hypotenuse

cos(a) = 24/25

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

Extra info:

Something like 7/25 would be for the sin(a) value, and 7/24 is tan(a). The reciprocal of 7/24 leads to 24/7, which is the value of cot(a).

30% of what number is 33.0

Answers

the answer is 110 i’m pretty sure. i hope this helps :) give me a thanks pleasee

How to Solve the problem 7/8 x 4 =

Answers

Answer:

The Answer is gonna be 7/8 x 4 =3.5

This is the right Answer :3

I hope you are having a great day ❤️❤️❤️

Answer = 3.5

First you do 7 divided by 8, then you multiply by 4

7/8 = 0.875
0.875 x 4 = 3.5

Brainliest would be appreciated. I hope I helped you

what is 4/5 divided by 2/3

Answers

Answer is 6/5
Step by step exploration
4/5 : 2/3 = 4/5 • 3/2= 12/10=6/5
4/5 divided by 2/3 =
switch the 2nd fraction around;
4/5 x 3/2

4 x 3 = 12
5 x 2 = 10

Answer: 12/10 or 6/5 (simplified) or 1.2 as a decimal

WILL MARK BRAINLIEST!!!

Which of the following are true statements about any regular polygon? Check all that apply.

Answers

Answer:

They are convex, all sides are congruent, their angles are congruent, and the sum of their exterior angles is 360º.

Step-by-step explanation:

If your good at compound interest i need help with this question 15

Answers

Answer:

4000

Step-by-step explanation:

10% of 3120 = 312

312 x 3 = 936

3120 + 936 = 4056

4056 rounded to the nearest thousanth = 4000

Mark as Brainliest

help meeeeeeeee PLEASEEEEE

Answers

Answer:

Step-by-step explanation:

5 blocks in 12 minutes

1 hour = 60 minutes

60 div. by 12 = 5

5 meaning theres 5, 12 mins in an hour

so, 5 x 5 = 25

25 meaning blocks per hours

25 + 25 = 50

50 blocks in 2 hours :)

y= -4(x+5)^2+4[tex]y=-4(x+5)^2+4[/tex]

Answers

9514 1404 393

Answer:

  x = -6 or -4

Step-by-step explanation:

Maybe you want to know the x-intercepts. They are found by ...

  0 = (x +5)² -1 . . . . . divide by -4

  1 = (x +5)² . . . . . . . add 1

  ±√1 = x +5 . . . . . . square root

  -5 ± 1 = x . . . . . . subtract 5

  x = -6 or -4

__

The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.

At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $? Assuming pi = 3.14
I 've been stuck on this for so long can someone please help me out?!

Answers

3x4 =12 (this is the square)
1.5 x 1.5 x 3.14= 7.065 however since it is a half of circle we divide 7.065 by 2 = 3.5325
Now add 3.5325 and 12 = 15.5325 round it to 15.53 then multiply by $2
The answer is $31.06

hello i need help with question 5 please i need help

Answers

a) The total cost of buying the car with HST is given as follows: $36,160.

b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.

c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.

How to obtain the costs?


The costs are obtained applying the proportions in the context of this problem.

The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.

Hence the total cost of buying the car, considering the HST tax, is given as follows:

1.13 x 32000 = $36,160.

The costs for leasing the car are given as follows:

$1,000 down payment.48 payments of $425.

Hence the total cost for leasing the car is given as follows:

1000 + 48 x 425 = $21,400.

Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:

36160 - 21400 = $14,760.

More can be learned about proportions at https://brainly.com/question/24372153

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HELP ASAP
Which three-dimensional figure is formed when the square is
rotated about the line?
O cube
O rectangular prism that is not a cube
O cone
O cylinder

Answers

A cylinder is formed

Answer:

a cylinder.

Step-by-step explanation:

I hope this helps

A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.​

Answers

Answer:

y = 8x + 12

Step-by-step explanation:

Slope-intercept form is y = mx + b where  m  is the slope and  b  is the y-intercept.

The problem just handed you everything you need!  Awesome!

Replace  m  with 8.  Replace b with 12.

If a line crosses the y-axis at (0, b), then b is the y-intercept.

below is the probability tree representing natalie selecting socks.

What is the probability that Natalie selects at least one black sock?

Answers

Answer:

[tex]P(Black \ge 1) = \frac{55}{64}[/tex]

Step-by-step explanation:

Given

The attached tree diagram

Required

[tex]P(Black \ge 1)[/tex] --- at least 1 black socks

To do this, we consider the following selections of black (b)

[tex]b = \{BB, BW, WB\}[/tex]

Where

[tex]B\to Black[/tex]

[tex]W\to White[/tex]

From the attached tree diagram, we have:

[tex]BB =\frac{25}{64}[/tex]

[tex]BW =\frac{15}{64}[/tex]

[tex]WB =\frac{15}{64}[/tex]

So:

[tex]P(Black \ge 1) = BB + BW + WB[/tex]

[tex]P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}[/tex]

Take LCM

[tex]P(Black \ge 1) = \frac{25+15+15}{64}[/tex]

[tex]P(Black \ge 1) = \frac{55}{64}[/tex]

you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

Answers

Step-by-step explanation:

1. move the decimal to make the numbers whole

0.25 - move to the right 2 times - 25

0.044 - move to the right 3 times - 44

2. Multiply 25 * 44 = 1,100

3. Add decimal

you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.

Answer - 0.01100 or 0.011

Anna and Jayla are reading the same
book. Anna is on page 150 and reads
7 pages a day. Jayla is on page 110 and
reads 15 pages a day. After how many
days will Anna and Jayla have read the
same number of pages? Explain.

Answers

answer: 5 days.
explanation:

Anna-

Day 1: 150+7= 157
Day 2: 157+7=164
Day 3: 164+7=171
Day 4: 171+7=178
Day 5: 178+7=185

Jayla-

Day 1: 110+15= 125
Day 2: 125+15= 140
Day 3: 140+15= 155
Day 4: 155+15= 170
Day 5: 170+15=185

Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1

Answers

Answer: 8 x + 5 y + 1

8x+5y+1

so that would be B)

Answer is B.) 8x + 5y + 1

Step by step.

3(x + 2y) + 5x -y + 1

PEMDAS is the rule of math order of operations. It says to perform parenthesis first. Distribute multiply 3 x both variables in ( ).

3x + 6y +5x -y +1

Now combine like terms
This means add x’s then y’s then constants.
You can only add like terms that are the same.

8x + 5y + 1

So B. Is your answer

Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6

Answers

Answer:

[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{n^{18}}[/tex]

Required

Determine its equivalent

[tex]\frac{1}{n^{18}}[/tex]

Express 18 as 3 * 6

[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]

This can be rewritten as:

[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]

Apply the following law of indices:'

[tex]\frac{1}{a^b} = a^{-b}[/tex]

[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]

Hence;

(d) is correct

Answer:D

Step-by-step explanation: cause im big brain

the average number of wins for a team is 7.6 for the season with a standard deviation of 1.3. What is the probability that the team will win more the 9 games this season?

Answers

The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %

How to find the probability ?

The Z-score formula is:

Z = (x - mean) / standard deviation

Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)

Z = (9 - 7.6) / 1.3

= 2.3 / 1.3

= 1.77

This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.

Find out more on probability at https://brainly.com/question/25660736

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What are the examples of METRIC SYSTEM AND COMMON FACTORS, ANGLES, And HEPTAGON sides?


Please i need your help!!​

Answers

Answer:

hey

Step-by-step explanation:

plea se solve step by step solve

it's very urgent plzz

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