A circular pan has a diameter of 8 inches.What is the exact area of the pan?

A.
256π square inches

B.
8π square inches

C.
64π square inches

D.
16π square inches

Answers

Answer 1
Answer: d/2=r
area=pir^2
d=8
8/2=4=r
area=pi4^2
aera=16pi
answer is D

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A class of 25 students took a math test. Ten students had an average of 88. The other students had an average of 76. What is the average of the whole class?A) 78.2
B) 80.8
C) 81.7
D) 82.5

Answers

Answer:

The average of the whole class is 80.8.

The correct answer is B)

Step-by-step explanation:

To solve this problem, it is very important to understand the phrase: "Ten students had an average of 88". Let's see an example.

Imagine that three students in the class took a test and their scores were: 80, 89 and 95. To calculate the average of they three we must divide the sum of the scores by the total number of scores.

average=(80+89+95)/(3)=(264)/(3)=88

The previous value is the average of the three students. Now, if we say that each student got 88, the average would be 88.

average=(88+88+88)/(3)=(264)/(3)=88

The previous expression could be simplified as:

average=(88* 3)/(3)

Where, the number 3 means the number of students.

With that in mind, the phrase "Ten students had an average of 88" could be written as:

average_(10\, \, students)=(88+88+88+88+88+88+88+88+88+88)/(10)

average_(10\, \, students)=(88* 10)/(10)=88

On the other hand, the phrase "The other students had an average of 76" means that from the 25 students, 15 students got 76 (25 - 10 = 15), and could be written as:

average_(15\, \, students)=(76+76+76+76+76+76+76+76+76+76+76+76+76+76+76)/(15)

average_(15\, \, students)=(76* 15)/(15)=76

Finally, to calculate the total average of the 25 students we must divide the sum of the scores of all students by the total number of scores. The sum would be: 88+88+88+88+88+88+88+88+88+88+76+76+76+76+76+76+76+76+76+76+76+76+76+76+76, which equals 88* 10+76* 15. The total number of scores would be: 25.

average_(total)=(88* 10 + 76* 15)/(25)

average_(total)=(880 + 1140)/(25)

average_(total)=(880 + 1140)/(25)

average_(total)=(2020)/(25)

average_(total)=80.8

Thus, the average of the whole class is 80.8. The correct answer is B)

The answer is B. 80.8

An angle of an isosceles triangke is 28 degrees. What are the other 2 angles( choose all that apply)

Answers

Hey there!!

Remember :- In an isosceles triangle, two angles and two sides are equal. And the total sum of all the angles in a triangle is 180 degrees.

One angle of the isosceles triangle is 28°

Let's take the other two angles as ' x '

As the total sum = 180°, let's get this into equation

28 + x + x = 180

28 + 2x = 180

2x = 180 -28

2x = 152

x = 76°

Hence, the angles in the triangle are as follows:

28° , 76° and 76°

Hope my answer helps!

Which expression represents 8 less than two times x? A)2x -8. B)8 - 2x C) 8x - 2. D) 2 - 8x

Answers

A is the answer because the two is being multiplied by the x and the eight is being subtracted from that product.
8 less than two times x.

8 less than 2*x

8 less than 2x

=  2x - 8.

Option A.

Which measurement is the best estimate for the mass of a penny?A : 2.5 mg

B : 2.5 g

C : 2.5 kg

Answers

B is correct - 2.5g :)

Which function has real zeros at x = −10 and x = −6?A. f(x) = x2 + 16x + 60
B. f(x) = x2 − 16x + 60
C. f(x) = x2 + 4x + 60
D. f(x) = x2 − 4x + 60

Answers

Answer:

Option (a) is correct.

f(x)=x^2+16x+60

Step-by-step explanation:

Given :A function has real zeros at x = −10 and x = −6 .

We have to find the function that has real zeros at x = −10 and x = −6.

Consider real zeros at x = −10 and x = −6.

x = - 10 ⇒ x + 10 = 0

x = - 6 ⇒ x + 6 = 0

Multiply both zeroes, we have,

(x+10)(x+6)

Apply Distributive rule,

(a+b)(c+d)=ac+ad+bc+bd

we have,

(x+10)(x+6)=x^2+10x+6x+60

Simplify, we have,

(x+10)(x+6)=x^2+16x+60

Thus, f(x)=x^2+16x+60

Option (a) is correct.

Answer:

A. on edge.

Step-by-step explanation:

king of brainly (2020)

Which equation has exactly one solution?A. 4x^(2) - 12x - 9 = 0
B. 4x^(2) + 12x + 9 = 0
C. 4x^(2) - 6x - 9 = 0
C. 4x^(2) + 6x + 9 = 0

(Please show how you get the answer)

Answers

The equation 4x² + 12x + 9 = 0 has exactly one solution. The correct answer would be an option (C).

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The solutions to a quadratic equation are found using the quadratic formula, which is:

x = (-b ± √(b² - 4ac)) / 2a

As per option (C),

4x² + 12x + 9 = 0

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a = 4, b = 12, and c = 9.

The discriminant of the equation,

b² - 4ac = (12)² - 4×4(9) = 144 - 144 = 0

Since the discriminant is zero, this means the equation has only one solution.

Therefore, the equation 4x² + 12x + 9 = 0 has exactly one solution.

Hence, the correct answer would be option (C).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

I would answer this by using the quadratic formula to figure out which equation only has one solution.
quadratic formula: (-b(+or-)√(b^2-(4ac)))/2a.
You find that the equation 4x²+12x+9=0 only has the root of x=-1.5.

Since the solution is where the parabola crosses the x-axis, you can also figure out which equation has only one solution by whether or not the axis of symmetry lands is a solution or not.  If the axis of symmetry is a solution, the function only has one solution (that being the vertex).  If the axis of symmetry is not a solution, the function has to have either two or no roots.  You can find the axis of symmetry by using the equation x=-b/2a.  Using that equation you can find that the equation 4x²+12x+9 has the axis of symmetry being at x=-1.5 which means that the vertex is (-1.5,0).  Since the equation 4x²+12x+9 has its vertex at (-1.5,0) and the vertex is the lowest or highest point of the function, that function only has one x-intercept meaning it only has 1 solution.  

I hope this helps.  Let me know in the comments if anything is unclear.