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3 years ago

Plz Help

Mathematics

1 answer:

Drupady [299]3 years ago

7 0

Answer:

The answer in the procedure

Step-by-step explanation:

Part A)

we know that

The measures of interior angle in a triangle must be equal to 180 degrees

In the triangle AUL

$m>3+25\°+52\°=180\°$

$m>3=103\°$

$m$ -----> by supplementary angles

$m$

The sum of the two nonadjacent interior angles is equal to

$25\°+52\°=77\°$

therefore

m<4 is equal to the two nonadjacent interior angles

Part B) $m$ ----> see the Part A)

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I will give you a good amount of points if you answer this correct

Colt1911 [192]

Answer:

I think the answer is B. The equation has infinitely many solutions.

Step-by-step explanation:

4(3x + 4) = 15x + 12 - 3x + 4

*group like terms so 4(3x+4) = 15x - 3x + 12 + 4

*add similar elements 15x - 3x = 12x

*add the numbers 12 + 4 = 16

*Expand to 12x + 16 - 16 = 12x + 16 - 16

*You simplify 12x = 12x

*Subtract 12x from both sides

*Then Simplify which is 0

Which means Both sides are equal to 0

True for all X

5 0

3 years ago

You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along

sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

$d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}$

Then, the time (speed divided by distance) is:

$t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1$

To optimize this function we have to derive and equal to zero:

$\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\ \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\$

$x$

As $d_b=x$ , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0

3 years ago

Use the conversions given below to change 127 cm into feet

svetoff [14.1K]

127/2.54 = 50 inches which equals 4.16 ft

4 0

3 years ago

Read 2 more answers

PLEASE HELP, need so I can graduate.

soldi70 [24.7K]

Answer: I think it's C

Step-by-step explanation:

7 0

3 years ago

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the

andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the cash register, 7 cooked food and washed dishes, 6 cooked food and operated the cash register, 6washed dishes and operated the cash register, 4 did all three jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

(b) Only operate the cash register?

Step-by-step explanation:

From the above question, we have the following information:

15 cooked food

12 washed dishes

21 operated the cash register

7 cooked food and washed dishes

6 cooked food and operated the cash register

6washed dishes and operated the cash register

4 did all three jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed dishes - Number of people that cooked food and operated the cash

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash register - Number of people that washed dishes and operated the cash register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

7 0

3 years ago