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PilotLPTM [1.2K]
3 years ago
8

Find the area of a circle with a diameter of 4 . Either enter an exact answer in terms of use 3.14 3enter your answer as a decim

al.
Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

 4pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

where r is the radius

The radius of a circle is found by

r =d/2 where d is the diameter

r = 4/2 = 2

So A = pi (2)^2

        pi (4)

        4pi

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SOLVE 6-9. State of each triangle is a right triangle
11111nata11111 [884]

To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):

a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.


6.) a² + b² = c²

(4√3)² + (11)² = (13)²

(16(3)) + 121 = 169

48 + 121 = 169

169 = 169 It IS a right triangle


7.) a² + b² = c²

(5)² + (2√14)² = (9)²

25 + (4(14)) = 81

25 + 56 = 81

81 = 81 It IS a right triangle


8.) a² + b² = c²

(6)² + (√49)² = (√82)²

36 + 49 = 82

85 = 82 It is NOT a right triangle


9.) a² + b² = c²

(13)² + (2√39)² = (16)²

169 + (4(39)) = 256

169 + 156 = 256

325 = 256 It is NOT a right triangle

7 0
2 years ago
Which property is this 27x(45+14)=(27x45)+(27x14)
Vladimir79 [104]

Answer:

Associative Property

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP! DUE TODAY :))
Aleonysh [2.5K]

Step-by-step explanation:

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3 0
2 years ago
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Nezavi [6.7K]

Answer: A. 85.7

Step-by-step explanation:

Given : Two sections of a class took the same quiz.

Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

We know that  , \text{Mean}=\dfrac{\text{Sum of observations}}{\text{No. of observations}}

Then , for section A :

\text{Mean score }=\dfrac{\text{Sum of scores in sec A}}{\text{No. of students}}

\Rightarrow\ 80=\dfrac{\text{Sum of scores in sec A}}{15}\\\\\Rightarrow\ \text{Sum of scores in sec A}=80\times15=1200

Similarly in Section B, \text{Sum of scores in sec B}=90\times20=1800

Total scores = Sum of scores in sec A+Sum of scores in sec B

=1200+1800=3000

Total students = Students in sec A +Students in sec B

=15+20=35

Now , the mean score for all of the students on the quiz =\dfrac{\text{Total score}}{\text{Total students}}

=\dfrac{3000}{35}=85.7142857143\approx85.7

Hence, the approximate mean score for all of the students on the quiz = 85.7

Thus , the correct answer is option A. 85.7.

7 0
2 years ago
12(5 x-4.5)=36 what is the value of x
-Dominant- [34]

Answer:

x=

3 /2

Step-by-step explanation:

12(5x−4.5)=36

(12)(5x)+(12)(−4.5)=36(Distribute)

60x+−54=36

60x−54=36

Step 2: Add 54 to both sides.

60x−54+54=36+54

60x=90

Step 3: Divide both sides by 60.

60x

60

=

90 /60

x=

3 /2

6 0
3 years ago
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