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3 years ago

Simplify the following surd expressions-

Mathematics

1 answer:

galben [10]3 years ago

8 0

Answer:

$\sqrt{2}$ and 4 $\sqrt{11}$

Step-by-step explanation:

To simplify like surds, add/ subtract the coefficients.

(a)

$\sqrt{2}$ (6 - 5)

= $\sqrt{2}$ (1)

= $\sqrt{2}$

(b)

$\sqrt{11}$ ( 1 + 3)

= $\sqrt{11}$ (4)

= 4 $\sqrt{11}$

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John needs to put tape around 40 windows in a building before the painters can get to work. Each window measures 3 feet by 4 fee

tangare [24]

600 feet of tape because 4 +4 for two sides of the window is 8 and 3+ 3 is 6, 14 plus the foot of overlap is 15 x 40 is 600.

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2 years ago

Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f

worty [1.4K]

Answer:

Part 1:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2: $270

Part 3: $320

Part 4: 11 months

Part 5: See explanation below

Step-by-step explanation:

Part 1:

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2:

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

Part 3:

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

Part 4:

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

Part 5:

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

4 0

3 years ago

Please help!! i’ll mark as brainliest!!

liraira [26]

The answer should be 4/3

8 0

3 years ago

a point on the rim of a wheel moves with a velocity of 80 feet per second. What is the angular velocity of the point if the diam

valentina_108 [34]

The angular velocity is 16 radians per second

Solution:

The angular velocity of point is given by formula:

$w = \frac{v}{r}$

Where,

w is the angular velocity in radians

v is the linear velocity

r is the radius

Given that diameter of wheel is 10 feet

$radius=\frac{diameter}{2}$

$radius = \frac{10}{2}=5$

Thus radius is 5 feet

A point on the rim of a wheel moves with a velocity of 80 feet per second

Linear velocity = v = 80 feet per second

Therefore, angular velocity is given as:

$w = \frac{80}{5} = 16$

Thus angular velocity is 16 radians per second

6 0

2 years ago

Guys help.. this is overdue..

loris [4]

So if his homework takes 25 minutes , and his math takes m minutes , and then as a while it takes h minutes, here’s an example of two equations you can use ;
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4 0

2 years ago

Read 2 more answers