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kupik [55]
2 years ago
6

Which set of values could be the side lengths of a 30-60-90 triangle?

Mathematics
1 answer:
inn [45]2 years ago
4 0

Answer is B.

Step-by-step explanation:

Since we know that in 30-60-90 triangle, the side corresponding to angle 90 degrees is two times the length of side corresponding to 30 degree angle. The length of side corresponding to 60 degree angle is  times the length corresponding to 30 degree angle.

We can see from our given choices that the side corresponding to 30 degree angle is 5 units.  

Therefore, the side lengths of a 30-60-90 triangle will be  and option B is the correct choice.  





PLS MARK ME AS BRAINLIEST.

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When a bush was first planted in a garden it was 12 inches tall after two weeks it was 120% as tall when it was first planted ho
Juliette [100K]
14.4, 120% of 12 is 100+20, 12+2.4 is 14.4
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3 years ago
It is known that a cable with a​ cross-sectional area of 0.300.30 sq in. has a capacity to hold 2500 lb. If the capacity of the
vesna_86 [32]

Answer:

0.84 square in

Step-by-step explanation:

Since the capacity of the cable is proportional to its​ cross-sectional area. If a cable that is 0.3 sq in can hold 2500 lb then per square inch it can hold

2500 / 0.3 = 8333.33 lb/in

To old 7000 lb it the cross-sectional area would need to be

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5 0
3 years ago
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Calculate the Zscore of $80
gayaneshka [121]
The Z-score (z) is calculated according to the formula: z = (x - μ) / σ

Where: x is the raw score value, μ is the mean of the population, σ is the standard deviation of the population.

x = 80, μ = 5, σ = 4

z = (80 - 5) / 4

z = 75 / 4 = 18.7500

Z-score is 18.7500


3 0
3 years ago
The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
monitta

Part A

The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which  (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.

Part B

The domain is x ≤ 0

The range is f(x) ≥ 0

<h3>What is Real Number?</h3>

A real number is a value of a continuous quantity that can represent a distance along a line.

Here, The given and required information:

Given that √(-144) = Undefined, why is √(-x) not necessarily undefined

The given function, f(x) = √(-x)

Part A

The square root of a real number with a negative value is an imaginary number

The square root of a real number with a positive value or zero, is a real number

√(144) = ±12

A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument

The given function is f(x) = √(-x)

Where;

x = An argument of the function

When x ≤ 0, such that x is a negative real number or zero, we have;

x = R⁻ or 0

Therefore;

-x= -R⁻ or 0 = R⁺ or 0

-x = R⁺

From which we get;

f(-x)= √(-x) = √(R⁺) = Defined

f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0

An example, when x = -16, we have;

-x = -(-16) = 16

√(-x) √(16) = 4 (Defined)

Part B;

Thee domain where the function is defined is where x = -R⁻,  x ≤ 0

The output of the function f(x) is defined which is the range = f(x) ≥ 0

Thus, the reason why the √(-x) is not  necessarily undefined, is because the value of x can represent a negative real number or zero.

Learn more about real numbers here;

brainly.com/question/17201233

#SPJ1

6 0
2 years ago
The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
uysha [10]

Answer:

24 degrees

Step-by-step explanation:

If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.

7+17=24

3 0
3 years ago
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