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Sphinxa [80]
3 years ago
14

Help me please, Find a, b, and c.

Mathematics
2 answers:
Maksim231197 [3]3 years ago
5 0

Answer:It’s C

Step-by-step explanation:

Mama L [17]3 years ago
3 0

Answer:

a = 6*\sqrt{3}

b = 12

c = 6\sqrt{2}

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths 1-1-\sqrt{2}.

A 30-60-90 right triangle has side lengths 1 - \sqrt{3} -2.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length \sqrt{3}. Therefore, a = 6*\sqrt{3}.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to \sqrt{2}. This means \sqrt{2} was multiplied by 12 = \sqrt{2} * \sqrt{72}. This means that side c is \sqrt{72}=6\sqrt{2}.

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Answer:

SA = 69.6in²

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Step-by-step explanation:

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V= 8 × 1.5 × 2.4 = 28.8in³

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3/2(4x – 1) – 3x = 54 – (x + 2)?
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alukav5142 [94]

Answer:

s = 8+b\\2s+3b=156

Step-by-step explanation:

To find which systems of equation represents the situation, we can break down the key information and create two variables:

<u>Variables:</u>

Let s = number of sundaes sold.

Let b = number of banana splits sold.

<u>Given information:</u>

Sundae: \$2

Banana Splits: \$3

8 more sundaes sold than banana splits. This can be expressed by s=8+b.

Total sold was \$156. This can be expressed as 2s+3b=156.

∴ The systems of equation that expresses this situation are s=8+b and 2s+3b=156.

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Equations are:
6x+4y=24  Equation 1
2x-4y=-8  Equation 2
First find the intercepts or ordered pair for each equation.

6x+4y=24
When x=0
6(0)+4y=24
4y=24
y=6  Ordered pair is (0,6)
When y=0
6x+4(0)=24
6x=24
x=4  Ordered pair is (4,0)

Now for equation 2.
2x-4y=-8
When x=0
2(0)-4y=-8
-4y=-8
y=2 Ordered pair is (0,2)
When y=0
2x-4(0)=-8
2x=-8
x=-4  Ordered pair is (-4,0)
Now graph the points on the graph, we get the attached graph. 
Solution is (2,3)
From the graph, it is clear that the solution lies in the first quadrant.
The x-coordinate is 2 and y-coordinate is 3.

Answer: Option C, D and F are correct.

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