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2 years ago

Tell whether the equation has one, zero, or infinitely many solutions.2(x-1/2)=8+2x

Mathematics

2 answers:

docker41 [41]2 years ago

4 0

Answer: none

Step-by-step explanation:

icang [17]2 years ago

3 0

Answer:

no solutions

Step-by-step explanation:

i hope this helps

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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical

denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= $20 \times 9.8 \times 1 = 196 J$

Work done by the mat do to stop the fall of the cylinder = $-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J$

Work done= $\text{Average force} \times \text{ Compression of mat}$

$208=F \times 0.06$

F=3467J

8 0

3 years ago

Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per

Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = $\frac{990}{3}= 330\ pages.$

Hence Sally needed 330 pages of album to place her photos in it.

6 0

2 years ago

Trigonometry

Wittaler [7]

Answer:

x ≈ 65.4 °

Step-by-step explanation:

cos x = $\frac{adjacent}{hypotenuse}$

Cos x = $\frac{5}{12}$

Cos x = 0.4167

x = Cos⁻¹ (0.1467)

x ≈ 65.4 °

4 0

3 years ago

Read 2 more answers

URGENT HELP!!!! Picture included

natka813 [3]

Answer:

Length (L) = 72 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Period (T) = 9.42 s

Pi (π) = 3.14

Length (L) =?

The length of the pendulum can be obtained as follow:

T = 2π √(L/32)

9.42 = (2 × 3.14) √(L/32)

9.42 = 6.28 √(L/32)

Divide both side by 6.28

√(L/32) = 9.42 / 6.28

Take the square of both side

L/32 = (9.42 / 6.28)²

Cross multiply

L = 32 × (9.42 / 6.28)²

L = 72 feet

Thus, the Lenght is 72 feet

5 0

3 years ago

A drawbridge will sometimes open up to let boats and other water traffic pass through. As it opens, the surface of the drawbridg

olasank [31]

16.6 meters D on apex

3 0

3 years ago

Read 2 more answers

Tell whether the equation has one, zero, or infinitely many solutions.2(x-1/2)=8+2x​

Tell whether the equation has one, zero, or infinitely many solutions.2(x-1/2)=8+2x