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olchik [2.2K]
3 years ago
9

The sum of 5 consecutive odd numbers is 135 what is the second number in this sequence

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Step-by-step explanation:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135

5·x + 20 = 135

5·x = 115

x = 23

So the sequence is

23, 25, 27, 29, 31

The second number is 25.

Do you agree?

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The tower is 700 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base
adoni [48]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
A water wheel has a radius of 9 feet. The wheel is rotating at 5 revolutions per minute. Find the linear​ speed, in feet per​ mi
guajiro [1.7K]

Answer:

90\pi\text{ ft/s}\approx282.74\text{ ft/s}

Step-by-step explanation:

Refer to physics equation v=\omega r, where \omega is angular velocity.

Angular velocity's SI unit is rad/s. Convert rev/min to rad/s:

\displaystyle 5\text{ rev/min}=5\cdot \frac{1}{60}\cdot 2\pi\approx 0.524\text{ rad/s}

Now substitute \displaystyle\omega=\frac{1\pi}{6} and r=9 into v=\omega r:

\displaystyle v=\frac{1\pi}{6}\cdot 9=\frac{3}{2}\pi\text{ ft/s}=\boxed{90\pi\text{ ft/s}}

5 0
3 years ago
Which number has the same value as 30 tens
GuDViN [60]
300. You're multiplying 30 by 10, so you take the 0 off the ten and add it to the 30; it becomes 300
8 0
3 years ago
Read 2 more answers
If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Soloha48 [4]

Answer:

x=9, AB=BC=AC=35

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

2x+17=6x-19\\2x+17-17=6x-19-17 (Subtract 17 from both sides of the equation to isolate constants)

2x=6x-36 (Simplify)

2x-6x=6x-36-6x (Subtract 6x from both sides of the equation to isolate x)

-4x=-36 (Simplify)

\frac{-4x}{-4}=\frac{-36}{-4} (Divide both sides of the equation by -4 to get rid of x's coefficient)

x=9 (Simplify)

Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

3 0
3 years ago
Anybody have a proper answer?
maks197457 [2]
The answer would be 40
3 0
3 years ago
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