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2 years ago

Please help !! Geometry homework. Will mark brainliest answer !

Mathematics

1 answer:

sergeinik [125]2 years ago

3 0

For this case we have:

By trigonometric property we have:

$Cosine(\alpha)=\frac{AdjacentLeg}{Hypotenuse}$

Where:

$Adjacent Leg = 12\\Hypotenuse = 13\\\alpha= x$

Substituting:

$Cosine(x)=\frac{12}{13}$

Clearing x we have:

$x =Cosine^{-1}(\frac{12}{13})$

Thus, the equation is: $x =Cosine^{-1}(\frac{12}{13})$

Answer:

$x =Cosine^{-1}(\frac{12}{13})$

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Use the discriminant to determine the nature of the roots of the following equation.

kvv77 [185]

Discussion

The discriminate is b^2 - 4*a*c

The general equation for a quadratic is ax^2 + bx + c

In this equation's case

a = 1

b= -5

c = - 3

Solve

(-5)^2 - 4*(1)*(-3)

25 - (-12)

25 + 12

Note

Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.

4 0

2 years ago

Answer A, B, C, Please, and Thanks!

DochEvi [55]

A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.

The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.

(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.

B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.

C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.

Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
Divide the total cost by the unit price. $12/($3/lb) = 4 lb.

7 0

2 years ago

A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win

sveta [45]

Answer:

The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25% of their capacity, how much energy, in kilowatt-hours, can the region's wind farms generate in one year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year

Part B

Given that the average household in the region uses about 10,000 kilowatt-hours of energy each year, how many households can be powered by these wind farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

Amount of households = 4,818'000,000/10,000 = 481,800

8 0

3 years ago

mrs lim had some money she spent 4/7 of it on necklace and 1/6 of her remainig money on a bracelet she then had $990 left how mu

zmey [24]

Answer:

she spent $1782

Step-by-step explanation:

first we have to find out her total money then minus 990

to get that 990 /5 then multipliedby 6 is 1188

1188 over 3 then times by 7 is 2772

2772 is the total amount of money she had. minus what she had left which is 990 she has spent 1782 dollars

4 0

2 years ago

F(x) = -x times 9 +1 for x=-3

sineoko [7]

Substitute the given value into the function and evaluate.
The answer is -10

6 0

2 years ago