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3 years ago

A right triangle has one angle that measure 40. What measure of the othe acute angle

Mathematics

2 answers:

Lostsunrise [7]3 years ago

5 0

Answer:

The other acute angle is 50 degrees.

Step-by-step explanation:

In order to find this, we need to know two things. Firstly, that a right triangle has a 90 degree angle. Secondly, that all triangles have 180 degrees of angle on the inside. So, to solve for the final angle, we can add the other two and x to get 180.

90 + 40 + x = 180

130 + x = 180

x = 50

butalik [34]3 years ago

3 0

a right triangle has one angle that measures 90 degrees. that leaves 90 degrees for the other 2 angles

90 = 40 + other angle

subtract 40 from each side

50 = other angle

Answer = 50 degrees

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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,

horsena [70]

Answer:

The mean oil-change time that would there be a 10% chance of being at or below is 15.46 minutes.

Step-by-step explanation:

We are given that records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.

On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Assuming that data follows normal distribution.

Let $\bar X$ = sample mean time

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean time = 16.2 minutes

$\sigma$ = standard deviation = 3.4 minutes

n = sample size = 35 oil changes

Now, the mean oil-change time that would there be a 10% chance of being at or below is given by;

P(X $\leq$ x) = 0.10 {where x is required mean oil-change time}

P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{x-16.2}{\frac{3.4}{\sqrt{35} } }$ ) = 0.10

P(Z $\leq$ $\frac{x-16.2}{\frac{3.4}{\sqrt{35} } }$ ) = 0.10

Now, in the z table the critical value of X which represents the below 10% of the probability area is given as -1.282, that means;

$\frac{x-16.2}{\frac{3.4}{\sqrt{35} } }$ = -1.282

x - 16.2 = $-1.282 \times {\frac{3.4}{\sqrt{35} } }$

x = 16.2 - 0.74 = 15.46 minutes

Hence, the mean oil-change time that would there be a 10% chance of being at or below is 15.46 minutes.

8 0

3 years ago

If 50 people can fit into 6 rooms. How many people fit into 42 rooms?

fiasKO [112]

Answer:

350 people can fit into 42 rooms

Step-by-step explanation:

So we can write it as a relation fraction equation:

$\frac{50}{6}=\frac{x}{42}$

Where:

x represents the people can fit in 42 rooms

$x=\frac{50*42}{6}$

$x=350$

Therefore, 350 people can fit into 42 rooms.

I hope it helps you!

6 0

3 years ago

Which of the following is not true for a firm in perfect competition? Profit equals total revenue minus total cost. Average reve

kotegsom [21]

Answer: Second option is not true for a firm in perfect competition.

Step-by-step explanation:

We know that

In perfect competition, number of buyers and sellers are in large number, free entry and exit of firms, it sells homogenous products and can't earn abnormal profit.

In this competition, "Firm is the price taker, industry is the price maker".

and AR = MR as there is constant price fixed by the industry.

Hence, Second option is not true for a firm in perfect competition.

4 0

3 years ago

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Brums [2.3K]

Answer:

I don't know what the answer is

5 0

3 years ago

What is the slope of the line?

GaryK [48]

y+1=3(x-4)

Multiply the bracket by 3

y+1=3x-12

Follow y=mx+b Move +1 to the other side. Sign changes from +1 to -1

y+1-1=3x-12-1

y=3x-13

Slope=m = 3

b= y-intercept=-13

Answer: Slope=m=3- D.

3 0

3 years ago

Read 2 more answers