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Natali [406]
4 years ago
12

Use trigonometric ratios to solve for X to the nearest tenth

Mathematics
1 answer:
Elan Coil [88]4 years ago
6 0

Answer: x = 106.5

<u>Step-by-step explanation:</u>

You can use either sin or cos.  I will use cos.

cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ 62^o=\dfrac{50}{x}\\\\\\x\ cos\ 62^o=50\\\\\\x=\dfrac{50}{cos\ 62^o}\\\\\\.\quad=\dfrac{50}{0.469}\\\\\\.\quad=106.5

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Answer:

-1.5

Step-by-step explanation:

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9-4 then square root of k to the 2nd power
4 0
3 years ago
What is the area of the shaded region to the nearest tenth?
Aleks04 [339]

Answer:

15.1

Step-by-step explanation:

We know that the area of the circle is \pi r^{2}, but we are looking for the portion of the circle, this means we multiply it by the portion of the circle that is shaded.

Area of shaded region = \pi r^{2} (\frac{x}{360} )

where r = 4 and x = 108, the 360 comes from the fact that the total degrees around the circle is 360, so dividing the total amount of degrees by the angle will give us the portion we are looking for.

Area of shaded region = \frac{108}{360} \pi 4^{2} = 15.1

Another way to think about it is that the area of the total circle is \pi r^{2}, multiplying it by a fraction, a number less than 1, would give us a smaller value.

Hope this helps.

5 0
3 years ago
The equation y = 35.25x + 40 gives the labor cost y of repairing a car if takes x hours to repair the car.
Lady_Fox [76]
Y = 32.25 x + 40
If it takes 6 hours to repair a car:
y = 32.25 * 6 + 40 = 193.5 + 40 = $233.50
The closest are $251.50 and $211.50.
$251.50 - $233.50 = $18
$233.50 - $211.50 = $22
$18 < $22
Answer:
The closest estimate is A ) $251.50
3 0
3 years ago
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If the sales tax rate is 5% in Texas, then how much sales tax would you pay in Houston for a $52 bag of dog food?
Alekssandra [29.7K]

The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sales tax percentage in Texas = 5 %

                                                          = 5 / 100

                                                          = 0.05

The cost of 1 bag of dog food in Houston = $ 52

Now ,

The sales tax cost is calculated by the equation ,

The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston

The sales tax cost = $ 52 x 0.05

                              = $ 2.60

And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost

Total cost of 1 bag of dog food = $ 52 + $ 2.60

                                                   = $ 54.60

Therefore , the sales tax cost is $ 2.60

Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

To learn more about equation click :

brainly.com/question/10413253

#SPJ1

3 0
1 year ago
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