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kobusy [5.1K]
2 years ago
15

Can someone do this please?

Mathematics
1 answer:
amid [387]2 years ago
8 0

Answer:

<1 =73

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

72+ 35 + <1 = 180

Add like terms

107 + <1 = 180

Subtract 107 from each side

<1 = 180-107

<1 =73

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Vladimir [108]

Answer:

the answer to your question is 625

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3 years ago
Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

3 0
2 years ago
Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,
Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

0.08*0.6 + 0.4x = 0.2

0.4x = 0.2 - 0.08*0.6

x = \frac{0.2 - 0.08*0.6}{0.4}

x = 0.38

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0
3 years ago
What is the reciprocal of a negetive number? ​
lana [24]

Answer:

The reciprocals of a number is sometimes called the Multiplicative Inverse of the number. The product of a negative number and its reciprocal equals 1. If the number is negative then the reciprocal must also be negative to produce a product of +1. The reciprocal of -4 is -1/4.

Step-by-step explanation:

3 0
3 years ago
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
Ratling [72]

Answer:

{f}^{ - 1} (f(93)) = 93

f(f(7)) =  - 15

Step-by-step explanation:

A function and its inverse has the following properties

{f}^{ - 1} (f(x)) = x

This implies that;

{f}^{ - 1} (f(93)) = 93

From the table,

f(7) =  - 6

This means that:

f(f(7)) = f( - 6)

f(f(7)) =  - 15

Note that: f(7) means the value of f(x) when x=7.

From the table f(x)=-6 when x=7.

That is why f(7)=-6.

5 0
3 years ago
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