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4 years ago

A circular tabletop has a circumference of 94.2 inches. What is its diameter? 15 in.

2 answers:

8 0

The circumference = 2 pi radius
94.2 = 2 × 3.14 × radius
94.2 = 6.28 × radius
94.2÷6.28 = radius
15 = radius
radius = 1/2 diameter
diameter = 2 × radius
diameter = 2 × 15
diameter = 30 in.

vodomira [7]4 years ago

4 0

Circumference is pi*diameter, so 94.2/ pi = 30, so the answer is C. 30 in

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3 years ago

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3 years ago

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ivolga24 [154]

Explanation

$2x^2-4x+3$

When taking derivatives of polynomials, we primarily make use of the power rule.

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$\begin{gathered} f(x)=x^n \\ \text{then} \\ f^{\prime}(x)=nx^{n-1} \end{gathered}$

also, the derivate of a sum is the sum of the derivates

hence

$\begin{gathered} g(x)=f(x)+h(x)+\ldots z(x) \\ g^{\prime}(x)=f^{\prime}(x)+h^{\prime}(x)+\ldots.z^{\prime}(x) \end{gathered}$

Step 1

apply:

$\begin{gathered} f(x)=2x^2-4x+3 \\ f^{\prime}(x)=2\cdot2x^{2-1}-4(1)x^{1-1}+ \\ f^{\prime}(x)=4x^{}-4(1)x^0+3^0 \\ f^{\prime}(x)=4x^{}-4(1)(1) \\ f^{\prime}(x)=4z-4 \end{gathered}$

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1 year ago

What is the value of x in the equation <br> -5/8x=-160?

Helen [10]

Answer:

x= 1/256

Step-by-step explanation:

1. multiply both sides by 8x (answer: -5= 8x*-160)

2. divide both sides by -160 (answer: -5/-160 or 1/32 =8x)

3. divide both sides by 8 (answer: 1/256 = x

4. check your answer: -5/(8*1/256)= -160

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3 years ago

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3 years ago