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2 years ago

Find the value of x.

Mathematics

1 answer:

BartSMP [9]2 years ago

5 0

Answer:

Step-by-step explanation:

We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.

2x+8+60=180

When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.

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Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

Perimeter = 400 ft

Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by 400 - 2W

A(W) = (400 - 2W) * W

$A(W) = -2W^2 + 400W$

Now we find out x coordinate of vertex to find the width that maximize the area

$W = \frac{-b}{2a}$

a= -2 and b = 400

$W = \frac{-(400)}{2(-2)}=100$

The width w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

$A(W) = -2W^2 + 400W$

$A(W) = -2(100)^2 + 400(100)= 20000$

the maximum area is 20,000 square feet

6 0

3 years ago

36x-2 + 34x+2 = 180 solve

nikklg [1K]

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

7 0

2 years ago

Read 2 more answers

Can someone please help me solve these 4

choli [55]

Answer:

find the area and then multiply

Step-by-step explanation:

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2 years ago

Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her

a_sh-v [17]

Answer:

yes.

Step-by-step explanation:

Because if you buy a re-usable water bottle you wont have to keep buying more water bottles

7 0

2 years ago

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Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

3 years ago