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Tems11 [23]
2 years ago
13

Guy wires 80 feet long support a 65-foot tall telephone pole. to the nearest degree, what angle will the wires make with the gro

und
Mathematics
1 answer:
Usimov [2.4K]2 years ago
3 0
Answer: The guy wires will make a 54 degree angle with the ground.

Start by drawing a right triangle. The hypotenuse will be 80 and the side opposite our angle will be 65. 

Since we are working with the opposite side and hypotenuse, we can write and solve the sin equation below.

Sin(X) = 65/80  (Take the inverse sign of both sides)
x about 54 degrees
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A rectangular table is positioned in a 10-foot by 10-foot room as shown.
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Answer:

40 and 20

Step-by-step explanation:

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2 years ago
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kevin draws a figure that has four sides all sides have the same length . his figure has no right angles . what figure does kevi
Oksanka [162]
A diamond because there are no right angles, and there are all the same length
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3 years ago
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Three snack bars contain 1/5, 0.22, and 19% of their calories from fat. Which snack bar contains the least amount of calories fr
BabaBlast [244]
Converting all values to decimal, we have
1/5 = 0.2
19% - 19/100 = 0.19

Therefore the snack that contains 19% has the least amount of calories from fat.
4 0
2 years ago
Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of
Nikitich [7]

Answer:

The answer is given below

Step-by-step explanation:

Given that:

f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}

The function is an exponential function.

The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:

Domain: x = (-∞, ∞)

The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:

Range: y = (0, ∞)

8 0
2 years ago
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Your utility company charges 11 cents per​ kilowatt-hour of electricity. Complete parts​ (a) and​ (b) below. a. What is the dail
Colt1911 [192]

Answer:

a. 9.9 cents

b. 26.5 dollars

Step-by-step explanation:

The first thing they mention to us is the cost of energy 11 cents / kwh

a) In the first point they ask us to calculate the daily cost of keeping the flashlight on for 12 hours, they tell us that it consumes 75 watts per hour, but this value must be passed to kW because the cost is given in kWh

to pass it, it would be: 75 watt * 1 kw / 1000 watt = 0.075 kw,

the formula to apply would be like this:

Daily cost = flashlight cost * time * energy cost

we all know them so we replace:

Daily cost = 0.075 kw * 12 h * 11 cents / kwh = 9.9 cents

b) Now, to know the annual savings, we must calculate the difference between the expense of the normal flashlight and the LED, let's calculate the daily cost of the LED, like this:

20 watt * 1 kw / 1000 watt = 0.02 kw

Daily cost = 0.02 kw * 12 h * 11 cents / kwh = 2.64 cents

Now by calculating the difference we multiply by 365 which are the days of a year.

Savings / year = (9.9 - 2.64) * 365 = 2649.9 cents = 26.5 dollars.

5 0
2 years ago
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