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Shtirlitz [24]
3 years ago
5

3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the near

est whole degree. ​

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)

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Write down an expression for the total cost of four pencils and two rubbers
Vsevolod [243]

Answer:

4x + 2y

Step-by-step explanation:

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6 0
2 years ago
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
Explain why 7 times x/7=x. How does your answer help you solve a division equation such as x/7=2?
tatiyna
Dear Ajtocute, let's have x=9 Multiply 7 by 9 to get 63. Then, you divide 63 by 7 to get back to 9. You just cancel out the multiplication with division.
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3 years ago
On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked which candidate he
gayaneshka [121]

Answer:

It's not possible to reach a conclusion about who will vote candidate Taylor because this is a random sample and not a population census or experiment.

Step-by-step explanation:

It is impossible to reach a conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likely voters in a large city.

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Name the line and plane shown in the figure.
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Answer: I think your answer is B, but I'm not positive

Step-by-step explanation:

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