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nadezda [96]
3 years ago
15

The dimensions of a triangular prism are shown.

Mathematics
2 answers:
Serhud [2]3 years ago
7 0

9514 1404 393

Answer:

  B.  32 square inches

Step-by-step explanation:

Each of the two triangular faces has an area of ...

  A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²

The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.

  LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²

So, the total area is the area of the two base and the lateral area:

  SA = 2A +LA

  SA = 2(12 in²) +8 in² = 32 in²

The surface area of the prism is 32 square inches.

Anika [276]3 years ago
4 0

Answer:

That would be the answer B

Step-by-step explanation:

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Given the information in the diagram below, find the measure of angle N. Use RACE and complete sentences to show how you found t
Sonja [21]

Answer:

m<N = 76°

Step-by-step explanation:

Given:

∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).

m<J = 64° (given)

Required:

m<N

SOLUTION:

m<K = m<J (base angles of an isosceles ∆ are equal)

m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

m<M = m<MLN (base angles of isosceles ∆MNL)

m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

4 0
3 years ago
A polynomial has been factored, as shown below: f(x) = (x − 6)(x + 5)(x − 9) What are the zeros of the polynomial? (5 points)
soldi70 [24.7K]

<span>x=6</span>, <span>x=−5</span> or <span>x=9</span>

Explanation:

<span><span>f<span>(x)</span></span>=<span>(x−6)</span><span>(x+5)</span><span>(x−9)</span></span>

If all of the linear factors are non-zero, then so is their product <span>f<span>(x)</span></span>.

If any of the linear factors is zero, then so is their product <span>f<span>(x)</span></span>.

5 0
3 years ago
Maria has three red dresses, 2 white dresses, and one blue dress . What is the probability she will wear a blue dress at her par
dedylja [7]

Answer:

1/6

Step-by-step explanation:

there are 6 dresses altogether and 1 blue dress.

8 0
3 years ago
Read 2 more answers
I need help on this question please and thank you!
Kay [80]

Answer:

The 2nd one.

Step-by-step explanation:

185 degrees is farther than a straight line, and the 2nd one is the only one like that.

5 0
1 year ago
I really need help! will give brainliest!!
TiliK225 [7]
Answer is A) AC= 20 and angle A=37°
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The angle stays the same no matter how much you increase or decrease the size

And AC= 5 x4= 20
8 0
3 years ago
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