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Ainat [17]
3 years ago
7

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

the area is 10 feet by 10 feet, 100 feet²

subtract the area of the circle from this.

you get it by A = r² * pi

so 5² * 3.14159...

=78.5398163397

100-78.5398163397

is roughly 21.46 square feet

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the function v(t)=-9.8t+5 gives the instantaneous velocity of an object thrown upward with an initial velocity of 5 m/sec. at wh
olya-2409 [2.1K]

Answer:

  • <u>0.5 s</u>   (using 1 significan figure since the initial velocity is given with 1 significant figure)

Explanation:

Let's see what each term in the function v (t) = - 9.8t + 5 means:

  • <u>Term: - 9.8 t </u>

        The variable t is the time

        The coffecient - 9.8 (which is negative) means that the velocity is reduced 9.8 m/s each second.

        That means that the motion is uniformly decelerated with acceleration - 9.8 m/s².

  • <u>Term + 5</u>

        The term + 5, means that the object was launched with an upward velocity of 5 m/s.

Hence the equation tells that after the object was launched upward it starts to lose speed and will reach a maximum height when the velocity is equal to zero, from which it starts falling.

So, you can calculate when the object reachs it maximum height and starts falling by making the velocity, v (t), equal to zero and solving for t. This is how you do it:

  • v (t) = 0
  • 0 = - 9.8t  + 5
  • 9.8t  = 5               remember that the units of 9.8 is m/s² and of 5 is m/s

  • t = 5 m/s / 9.8 m/s² = 0.51 s

So, the object starts fallin at 0.51 s. Since, the velocity is reported with 1 significant digit you answer should also show 1 significant digit, which means t = 0.5 s.

3 0
3 years ago
Which rectangle could be created from a parallelogram with a base of 6 and a height of 2?
nalin [4]

Answer:

A rectangle with a length of 6 and width of 2.

The corners added up make a rectangle so it is the same as a rectangle. You can just multiply 6 x 2 = 12 to find the area. If you have any more questions you are welcome to ask

Step-by-step explanation:

5 0
3 years ago
A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you random
Leokris [45]

Answer:

Event A = white marble is selected

Event B = blue marble is selected

P(A) = 5/10 = 1/2

p(B) = 5/10 = 1/2

Probability that A and B are independent events is:

P(A∩B) = 1/2 × 1/2

Answer: 1/4

5 0
3 years ago
Read 2 more answers
Helo asap !! will get branliest.​
Dvinal [7]

Answer:

1/25

Step-by-step explanation:

= 5^4/5^6

= 1/5^6-4

= 1/5^2

= 1/25

hope it helps!

8 0
3 years ago
Read 2 more answers
What is the equation of the line perpendicular to y=2x+3.14 going through the points (2,4)?
inessss [21]

Answer:

x+2y-10=0

Step-by-step explanation:

Consider an equation: y=mx+c

Here, m is the slope of the line and c is the y-intercept.

Given equation is y=2x+3.14

Here, slope is m=2

As product of slopes of two perpendicular lines is equal to -1, slope of the required line is m_1=\frac{-1}{m}=\frac{-1}{2}.

Let (x_1,y_1)=(2,4)

Equation of the required line is y-y_1=m_1(x-x_1)

y-4=\frac{-1}{2}(x-2)\\2(y-4)=-1(x-2)\\2y-8=-x+2\\x+2y-8-2=0\\x+2y-10=0

8 0
3 years ago
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