1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
expeople1 [14]
1 year ago
6

Question 11-(3 marks available)

Mathematics
1 answer:
klasskru [66]1 year ago
5 0

Answer: 1080 cm^{2}

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

The sides of the triangular base are:

b1 = 13 in.

b2 = 14 in.

b3 = 15 in.

The triangular base is a right triangle, and so the height is one of our sides. We will use

h = 12 in.

The length of the prism is

l = 20 in.

total surface area = bh + (b1+b2+b3)*l

bh = 12*20 = 240 cm^{2}

l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 cm^{2}

TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 cm^{2}

to know more about prism,

brainly.com/question/16128664

You might be interested in
You read online that the probability of being dealt four‑of‑a‑kind in a five‑card poker hand is 1 / 4165. Explain carefully what
Lapatulllka [165]

Answer:

There is about 4,164/4,165 chances of not getting getting a four of a kind. So, it is extremely unlikely or even borderline impossible in that situation to get a four of a kind.

<u>But in the long run, it can be increased only if you keep drawing.  So, the awnser would have to be. D  </u>

Step-by-step explanation:

A. It does mean that if you are dealt 4165 five‑card poker hands, one will be four‑of‑a‑kind.

B.  It does not mean that all will be four‑of‑a‑kind. The probability is actually saying that only on the 4165 the poker hand will you get a four‑of‑a‑kind, not just on any of the 4165 poker hands.

C. The probability is actually saying that in the long run, with a large number of five‑card poker hands, the fraction in which you will be dealt a four‑of‑a‑kind is 1 / 4165.

D. The chance you will be dealt four‑of‑a‑kind is 1 / 4165 only on the first hand. This chance will then increase with each new hand you are dealt until you eventually win

6 0
2 years ago
an arts academy requires there to be 3 teachers for every 75 students and 6 tutors for every 72 students. How many students does
Zinaida [17]
Each teacher has 25 students. 75/3 would be 25. I hope this helped!
5 0
3 years ago
Brainliest pls help
Airida [17]
<h3>Volume:</h3>

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

<u>Rectangular prism Volume</u>

5*5*6.3

<em>157.5</em>

<u>Right triangle prism Volume</u>

(3*5*6.3) / 2

94.5 / 2

<em>47.25</em>

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

<em><u>204.8 cm^3 = Total Volume </u></em>

<h3>Surface Area:</h3>

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

<em>1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).</em>

<em>So, within each of these right </em>trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

<u><em>216.8 cm^2 = Total Surface Area</em></u>

<em />

8 0
2 years ago
Select the equivalent expression
slava [35]
Answer: c
hope this helps!
7 0
3 years ago
The area of a semi circle is 20
alisha [4.7K]

Answer:

A = 157 in^2

Step-by-step explanation:

First, we need to get the radius, we can do this by dividing our given diameter by 2.

20/2 = 10

Now, we have our radius of 10 inches.

Formula for Area of a Semi Circle: (1/2)(pi(r^2)

Input values.

(1/2)(3.14(10^2)

Solve.

(1/2)(3.14(100)

(1/2)(314)

1/2(314) = 157

Finally, we have our result which is 157 inches^2.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What's 1394 divided by 36
    13·2 answers
  • Mary mixes white paint in the ration 2:3
    15·1 answer
  • Please answer ASAP!<br><br> The number 650,000 written in scientific notation would be _____.
    10·2 answers
  • PLEASE HELLLLLLLPPPPPP!!!!!
    14·1 answer
  • Write 9% as a ratio.
    10·2 answers
  • Blah blah blah Help me please!!!
    9·2 answers
  • What is the mean of the data set?<br> 17, 24, 26, 13<br> 4<br> 13<br> 20<br> 80
    6·2 answers
  • I will mark you brainlist!
    15·1 answer
  • At East Junior High School, there are a total of 1175 students in the 7th and 8th
    10·1 answer
  • The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the ot
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!