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
Oksi-84 [34.3K]
2 years ago
7

Use the right triangular prism to find the total surface area of the prism. Leave label off answer.

Mathematics
1 answer:
9966 [12]2 years ago
4 0

Step-by-step explanation:

the total surface area is the sum of the 5 individual areas in the surface :

2 triangle sides (left and right).

1 back rectangle side

1 rectangle floor

1 inclined rectangle front side

to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90° angle).

c² = 3² + 4² = 9 + 16 = 25

c = 5

so, now, we have everything we need.

the area of a triangle side (since it is right-angled) :

4×3/2 = 6

2 sides, that makes 12

the area of the back side

6×3 = 18

the area of the floor

6×4 = 24

the area of the inclined front side

6×5 = 30

so, the total surface area is

12+18+24+30 = 84

You might be interested in
The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
nirvana33 [79]

Since x represents the year, year 15 will be 15 years.

Plug in "15" as your "x"

y = -2(15)^2 + 36(15) + 6

15^2 = 225 (Exponents come before multiplication)

y = -2(225) + 36(15) + 6

y = -450 + 540 + 6

y = 90 + 6

y = 96

<em>The answer is B</em>

3 0
3 years ago
In MON, J, K, and L are midpoints. If JL = 11, LK = 13, and ON = 20, and JL || MN, LK || MO, and JK || ON, what is the length of
In-s [12.5K]

Answer:

The lengths of MN is 22 units, MO is 26 units and JK is 10 units

Step-by-step explanation:

<em>A l</em><em>ine segment</em><em> joining the </em><em>mid-points of two sides</em><em> in a triangle is </em><em>parallel to the third side</em><em> and </em><em>equal to half its length</em>

In Δ MON

∵ J, K, and L are mid-points

∵ JL // MN and LK // MO

∴ L is the mid-point of ON

∴ J is the mid-point of MO

∴ K is the mid-point of MN

∵ J, L are the mid-points of MO and ON

∵ JL is opposite to MN

→ By using the rule above

∴ JL = \frac{1}{2} MN

∵ JL = 11 units

∴ 11 = \frac{1}{2} MN

→ Multiply both sides by 2

∴ 22 = MN

∴ MN = 22 units

∵ K, L are the mid-points of MN and ON

∵ KL is opposite to MO

→ By using the rule above

∴ KL = \frac{1}{2} MO

∵ KL = 13 units

∴ 13 = \frac{1}{2} MO

→ Multiply both sides by 2

∴ 26 = MO

∴ MO = 26 units

∵ J, K are the mid-points of MO and MN

∵ JK is opposite to ON

→ By using the rule above

∴ JK = \frac{1}{2} ON

∵ ON =20 units

∴ JK = \frac{1}{2} (20)

∴ JK = 10 units

∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units

3 0
3 years ago
Find the measure of the indicated angle to the nearest degree
shutvik [7]

\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}

7 0
2 years ago
mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and potatoes does he need for 15 serving
VLD [36.1K]
Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.
7 0
2 years ago
Terrance's garden is 3/ 5 yard by 1 2/ 5 yards. Each square is 1/ 5 yard long. He needs to know the area so he can buy the right
Vanyuwa [196]

Answer:

brain

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Bev earns $2 a week for taking out her neighbor’s trash cans. Complete the table of values. Then state the domain and range.
    8·1 answer
  • Negative 7 square root of 12+(-3)subtracted by 8=
    5·2 answers
  • Question<br> Translate and solve: What number is 132% of 694? Round to the nearest hundredth.
    15·1 answer
  • Simplify. Rewrite the expression in the form 5^n <br> 5^2*5^5
    8·2 answers
  • Why is 6/8 greater than 5/8 but less than 7/8
    13·1 answer
  • Solve the following equations using any method. Show your work and check your
    12·1 answer
  • A factory is producing a linear number of objects in each shipment. If x = the shipment number, which function can be used to de
    12·1 answer
  • FIRST ONE TO ANSWER GETS A BRAINLIEST! PLZ HELP ME! I NEED HELP!
    7·2 answers
  • What is the slope line ?
    12·2 answers
  • GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!