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steposvetlana [31]
4 years ago
7

A=3.14r^2 and d=12 A=?

Mathematics
1 answer:
zvonat [6]4 years ago
4 0

\huge\boxed{113.04}

Diameter (d) is equal to twice the radius (r). So, find the radius by dividing \frac{12}{2}. The radius, or r, is 6.

Substitute in the value. A=3.14*6^2

Follow the order of operations and solve the exponent first. A=3.14*36

Multiply. A=\boxed{113.04}

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1/3 x + 1 = 5/6 x - 3
mr Goodwill [35]

Answer:

x=8

Step-by-step explanation:

Step 1: Subtract 5/6x from both sides.

1/3x+1−5/6x=5/6x−3−5/6x

−1/2x+1=−3

Step 2: Subtract 1 from both sides.

−1/2x+1−1=−3−1

−1/2x=−4

Step 3: Multiply both sides by 2/(-1).

(2/−1)*(−1/2x)=(2/−1)*(−4)

x=8

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What is the domain?<br> What is the range?
almond37 [142]

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

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Hope this helps!

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He figure shows two parallel lines AB and CD cut by transversals EF and GH. Angle EKD measures 90 degrees.
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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
Lady bird [3.3K]

Answer:

(A)Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)

Step-by-step explanation:

  • In the triangle, the exterior angle = p
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The steps followed by the student are:

Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)

Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)

Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p

Step 4: So, m∠m + m∠n = m∠p

We observe that the student made a mistake in Step 1, it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle).

p is outside the triangle, therefore it cannot form one of the angles in the triangle.

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