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Ahat [919]
2 years ago
11

What is the best approximation of the value of a? 2. 4 cm 2. 7 cm 3. 0 cm 3. 3 cm.

Mathematics
1 answer:
Drupady [299]2 years ago
8 0

You can use the sine law for the given triangle to find the measure of a.

The value of a is given by

Option D: 3 cm

<h3>What is law of sines?</h3>

For any triangle ABC, with side lengths |AB| = c units, |BC| = a units, and |AC| = b units, then

\dfrac{sinA}{a} = \dfrac{sinB}{b} = \dfrac{sinC}{c}

(If you draw it, you will notice that sin of an angle is sitting over the side length of its opposite side. This is the most important thing that people can mistake most commonly).

<h3>Using the above fact to calculate the measure of 'a' for the given context</h3>

We have these data

sin A = sin(40 degrees) = 0.643 approx

sin(b) = sin(95) degrees) = 0.996 approx

b = 4.7 cm

Using the first two inequalities, we get

\dfrac{sinA}{a} = \dfrac{sinB}{b} \\\\\dfrac{0.643}{a} = \dfrac{0.996}{4.7}\\\\a = \dfrac{0.643}{0.212} \approx 3 \: \rm cm

Thus,

The value of a is given by

Option D: 3 cm


Learn more about sine law here:
brainly.com/question/17289163

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the perimeter of a standard-sized rectangular rug is 84 ft the length is 22 ft longer than the width find the dimensions​
sergij07 [2.7K]

Answer:

The length would be 32 and the width would be 10

Step-by-step explanation:

For the purpose of this, we'll set the width as x. We can then define the length as x + 22 since we know it is 22 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

P = 2l + 2w

84 = 2(x + 22) + 2(x)

84 = 2x + 44 + 2x

84 = 4x + 44

40 = 4x

10 = x

Now since we know that the width is 10ft, we can add 22ft to it to get the length, which would be 32ft.

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3 years ago
Which is the best strategy to solve this problem?
nadya68 [22]
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6 0
3 years ago
Form a polynomial whose zeros and degree are given.
iris [78.8K]

Answer:

f(x) = (x  + 2)(x - 2)(x - 6)

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Step-by-step explanation:

Multiply factors.

7 0
2 years ago
HALP! EASY MATH (not for me obviously) <br>show work plz<br>halp!
galben [10]

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Infinitely many solutions

Step-by-step explanation:

Solve y = 3x+1 for y

y = 3x+1

Substitute 3x+1 for y in -6x+2y = 2

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4 0
3 years ago
What is the solution to the system?
nikdorinn [45]
Point slope form again

-3-9/3+1= -3

y+1=-3(x-9)

y+1=-3x+27

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y+1=2(x+1)

y+1=2x+2

y=2x+1

For your system of equations you have

y={y=-3x+26}
y={y=2x+1}

There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.

2x+1=-3x+26

5x+1=26

5x=25

x=5

So now you just plug in x = 5 for each quotation and you have your y's for both solution points

y=-3(5)+26
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y=2(5)+1
y=11

So this works out nice, your solutions for the set of equations is (5,11) since they are the same points

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