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Sidana [21]
3 years ago
11

Find all solutions for a triangle with a = 6,b = 8, and A = 150°

Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

6/sin 150 = 8 / sin B

Step-by-step explanation:

6/sin 150 = 8 / sin B

sin 150 = 1/2 so you cross multiply to get 6 sin B = (1/2) • 8

6 sin B = 4

sin B = 4/6

B = inverse sin (4/6) = 42º or 138º

But both of those add to 150 to go over 180 so there are no solutions.

Back in geometry, you had that the larger angle of a triangle is opposite the longer side, right?  You can see that 150º can't be opposite 6 because then the angle opposite 8 would have to be larger than 150º which is impossible for a triangle.

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A local playground is rectangular and has an area of 76.5 square meters. One side of the playground is 10 meters long. Maria say
Aleks04 [339]

Answer:

The length of the other side is 7.65m

Step-by-step explanation:

Maria's mistake was that she wanted to move the decimal point 2 places to the left, when she should have moved it 1 place, since that is the number of zeros that the number 10 has.

To find the length of the rectangle, we simply divide the area by the width

a = area = 76.5 m

w = width = 10m

l = length

l = a/w

l = 76.5m² / 10m

l = 7.65m

The length of the other side is 7.65m

3 0
3 years ago
It cost eight dollars to get in the fair your mom gives you $50 right in an inequality for how many days you can go to the fair.
zaharov [31]
You would do 50-8X for the equation.
4 0
3 years ago
I need to find x in #9 and w in #10
elena-s [515]

Step-by-step explanation:

9. 131+106+67+x=360

237+67+x=360

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6 0
3 years ago
What is a and b . y=ab^x
VladimirAG [237]

Answer:

a = 4, b = \frac{1}{2}

Step-by-step explanation:

Use any ordered pairs of points from the table.

Substitute into the equation and solve for a and b, that is

Using (0, 4), then

4 = ab^{0} = a

Hence a = 4

Using (2, 1), then

1 = 4b^{2} ( divide both sides by 4 )

b² = \frac{1}{4} ( take the square root of both sides )

b = \frac{1}{2}

Equation is

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4 0
3 years ago
The lengths of the sides of a triangle are in the extended ratio 8 ​: 9 ​: 10. The perimeter of the triangle is 108 cm. What are
ValentinkaMS [17]

Answer:

A(8)=32cm

B(9)=36cm

C(10)=40cm

Step-by-step explanation:

let 8:9:10=A:B:C

∑ratios=8+9+10=27

Therefore lengths or triangles:-

Length A=\frac{A}{A+B+C}*108\\               =32\\Length B= \frac{B}{A+B+C}*108\\                =36\\Length C=\frac{C}{A+B+C}*108\\               =40

6 0
3 years ago
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