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Lisa [10]
2 years ago
6

Can u explain how to solve this?

Mathematics
1 answer:
svlad2 [7]2 years ago
5 0

Answer: B.pi/2

ABCD is a square

=> Δ ABD is a  isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is  diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is S=\frac{(\sqrt{2})^{2}  }{4}.\pi =\frac{\pi }{2}

Step-by-step explanation:

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The weights of 40 students were recorded. If the 75th percentile of
RUDIKE [14]
In the given question, there are numerous information's already provided. It is important to note then down first. With the help of those given information's the required answer can be easily reached.
Percentage of students that weighed 140 pounds = 75 percent
Then
Percentage of students that weighed more than 140 pounds = (100 - 75) percent
                                                                                                  = 25 percent
Total number of students that were weighed = 40 students
Total number of students that weighed more than 140 pounds = (25/100) * 40
                                                                                                    = (40/4) students
                                                                                                    = 10 students
So the number of students that weighed more than 140 pounds is 10. So the correct option in regards to the given question is option "1".
7 0
3 years ago
This diagram was created by starting with points Aand
Anton [14]
Sorry I just need the points
7 0
2 years ago
Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly. Write a compound inequality
Evgesh-ka [11]

Answer:

<em>The compound inequality that shows the voltage amount the necessary range is  3.5</em>

Step-by-step explanation:

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.

That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.

Suppose, the amount of voltage is V volts to make the experiment work correctly.

Now, Voltage amount is greater than 3.5 volts means:  V>3.5 or 3.5

and voltage amount is less than 7.2 volts means:  V

Thus, the compound inequality by combining the above two inequalities will be:   3.5

5 0
3 years ago
Find the volume. 11 yd 5 yd 6 yd​
azamat
Formula: l•w•h

Answer: 330 yd

Hope that helps :)
3 0
3 years ago
The cost per hour of running an assembly line in a
nlexa [21]

Answer:

the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Step-by-step explanation:

if there is no mistake in the problem description, I read the following function :

C(x) = y = 0.3x² - 1.2x + 2

I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.

the first derivative of C(x) is

0.6x - 1.2 = y'

0.6x - 1.2 = 0

0.6x = 1.2

x = 2

C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8

so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

5 0
2 years ago
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