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alexira [117]
2 years ago
13

6 = 2 (y + 2) find X please

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer: y = 1

there no x, i think you meant y?

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=2(y+2)

6=(2)(y)+(2)(2)(Distribute)

6=2y+4

Step 2: Flip the equation.

2y+4=6

Step 3: Subtract 4 from both sides.

2y+4−4=6−4

2y=2

Step 4: Divide both sides by 2.

2y over 2 = 2 over 2

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An obtuse triangle has angle measurements of 100°, 60°, and 20°. If the longest side of this triangle is 20 feet,
san4es73 [151]

Answer:

20/sin 100=x/s 20

x=(20s 20)/100

x=6.95 feet

The answer is 6.95 feet

Step-by-step explanation:

5 0
3 years ago
Conveyor belts called grain elevators are used to move grain into a silo. Answer the following questions knowing that the lower
Natalka [10]

From the given information,

a. The length of the belt is 180.28 ft

b. The height of the window from the ground is 100 ft

c. The length of the ramp needed is 141.42 ft

<h3>What is the Pythagorean theorem's formula?</h3>

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the triangle. I.e., (hypotenuse)² = (opposite)² + (adjacent)²

<h3>Calculation:</h3>

It is given that,

The height of the silo is 150 feet

The distance from the belt to the silo is 100 feet

With the given measurements, a right-angled triangle is formed.

a. Finding the length of the belt:

From the diagram,

The height of the silo, sh = 150 ft

The base distance, sb = 100 ft

So, the length of the conveyor belt is the hypotenuse (bh) of the triangle formed.

On applying the Pythagorean theorem,

bh² = sb² + sh²

⇒ bh² = (100)² + (150)²

⇒ bh² = 32500

⇒ bh = √32500 = 50√13

∴ bh = 180.28 ft

Thus, the length of the belt is 180.28 ft.

b. Finding the height of the window from the ground:

It is given that the angle of elevation from the lower end of the belt(b) to a window(w) on the side of the silo is 45°.

This creates a special right-angled triangle. I.e.,

The angles of the new triangle are 90°- 45°. So, the third angle also becomes 45° (Since the sum of angles in a triangle is 180°)

So, the new triangle has angles of 90°- 45°- 45°

Thus, the new triangle is said to be an isosceles right angled triangle.

So, the two legs of the triangle are equal. I.e., sb = sw = 100 ft

Therefore, the height of the window from the ground(sw) is 100 ft

c. Finding the length of the ramp(bw) to the window:

Since we have

sw = 100 ft and sb = 100 ft

On applying Pythagora's theorem,

bw² = sb² + sw²

⇒ bw² = (100)² + (100)²

⇒ bw = √20000 = 141.42 ft

Therefore, the length of the ramp to the window is 141.42 ft.

Learn more about the Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

3 0
1 year ago
For which values of s would the product of s/5 ×10 be greater than 10?
Neporo4naja [7]

Answer:

so I hope we're on understanding that I don't actually know the answer you know you have to earn points on this app so to like for it to keep answering your questions I've only done this once I'm so sorry yeahso we're going to be honest I don't really know the answer but good luck and I'm sorry for wasting your time so

Step-by-step explanation:

so I hope we're on understanding that I don't actually know the answer you know you have to earn points on this app so to like for it to keep answering your questions I've only done this once I'm so sorry yeahso we're going to be honest I don't really know the answer but good luck and I'm sorry for wasting your time so

6 0
3 years ago
Sasha solved an equation, as shown below:
ser-zykov [4K]

Answer: Sasha is incorrect because all she needs to do is divide 56 by 7 x and x= 8


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Solve for x.<br><br>-6x - 29 = 5x - 7​
vodomira [7]

Answer:

x = -2

Step-by-step explanation:

-6x - 29 = 5x - 7​

Add -6x to both sides

-29 = 11x - 7

Add 7 on both sides

-22 = 11x

Divide

\frac{-22}{11} = \frac{11x}{11}

x = -2

7 0
3 years ago
Read 2 more answers
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