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yuradex [85]
3 years ago
13

When Elyse moved last weekend, the circular glass top for an end table broke. To replace it, she bought a circular glass top wit

h a diameter of 20 inches.
What is the approximate area of the circular glass top Elyse bought?
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

A = 314 inches^2

Step-by-step explanation:

We know the diameter of the glass.  We need to find the radius

d = 2r

20 = 2r

Divide each side by 2

20/2 = 2r/2

10 =r

To find the area of the glass

A = pi r^2

A = pi * 10^2

A = pi*100

A = 100 *(3.14)

   = 314 in^2

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-4 + x / 2 = 3 urgent!
Zina [86]
     \frac{-4 + x}{2} = 3   Multiply both sides by 2
-4 + x = 6   Add 4 to both sides (to cancle out the -4)
       x = 10

4 0
2 years ago
A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower
stira [4]
For this case we have the following equation:
 w = F • PQ
 Where,
 w: work done
 F: is the force vector
 PQ: is the vector of the direction of movement.
 Rewriting the equation we have:
 w = || F || • || PQ || costheta
 Substituting values:
 w = (60) * (100) * (cos (45))
 w = (60) * (100) * (root (2) / 2)
 w = 4242.640687 lb.ft
 Answer:
 
The work done pushing the lawn mower is:
 
w = 4242.6 lb.ft
7 0
3 years ago
A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.
SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

Slope (m) = \frac{y2-y1}{x2-x1}

Plugging values in formula, we get

m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

8 0
3 years ago
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cupoosta [38]

Answer:

a - a or (a +(-a))

Step-by-step explanation:

A negative plus a positive is always zero if they have the same variable.

6 0
2 years ago
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katen-ka-za [31]

Answer: B

Step-by-step explanation:

6 0
2 years ago
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