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2 years ago

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

Mathematics

1 answer:

neonofarm [45]2 years ago

5 0

Area of three rectangles

3LB
3(8)(6)
24(6)
144units²

Area of two triangles

1/2(6)(4)
3(4)
12units²

Total

144+12
156units²

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Complete the proof by providing the missing statement and reasons.

seraphim [82]

2. Definition of perpendicular lines

3. Given

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3 years ago

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Abby used the law of cosines for TriangleKMN to solve for k.

torisob [31]

Answer:

m∠K = 37° and n = 31

Step-by-step explanation:

A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

a² = b² +c² -2bc·cos(A)
k² = 31² +53² -2·31·53·cos(37°)

<h3>Comparison</h3>

Comparing the two equations, we note these correspondences:

a = k
b = 31
c = 53
A = 37°

Comparing these values to the given information, we see that ...

KN = c = 53 . . . . . . . . . . matching values 53
NM = a = k . . . . . . . . . . . matching values k
KM = b = n = 31 . . . . . . . matching values 31
∠K = ∠A = 37° . . . . . . . matching side/angle names

Abby apparently knew that ∠K = 37° and n = 31.

<em>Additional comment</em>

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

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2 years ago

Please help me!!!!!!!!!!!!! I'll give brainleist !!

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If your looking for the answer, this question is invalid. However, if the question is asking for the function equation, the answer is y=3x-2

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3 years ago

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Which of the following statements are true? The product of two numbers with the same sign is negative. The quotient of a positiv

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The answer is II and III

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The function c(x)=18x-10 represents the cost in dollars. How many tickets can you buy?

Goryan [66]

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$c(x)=18x-10$

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

$y = mx+b$

where m is the slope and b is the y-intercept

comparing with the slope-intercept form of the line equation

here:

rate of change = 18

c(x) or y represents the cost

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $188

In order to determine the value of x, set c(x) = 188

i.e.

188 = 18x -10

switch sides

188x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 188 + 10

18x = 198

Divide 18 to both sides

18x/18 = 198/18

x = 11

Therefore, if you can buy x = 11 tickets if you pay 170 dollars.

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3 years ago