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max2010maxim [7]

3 years ago

14

The radius of circle L is 16 cm. What is the length of its diameter? 8 cm 16 cm 32 cm 64 cm

2 answers:

prohojiy [21]3 years ago

4 0

The diameter of a circle is the half the radius so 16 x 2 = 32 cm
your answer should be 32 cm!

topjm [15]3 years ago

3 0

Answer:

32 cm

Step-by-step explanation:

The radius is the distance from the center of a circle to its outside edge; this means it goes halfway across the circle. The diameter is the distance from one edge of a circle to the opposite edge, passing through the center. This means it goes completely across the circle.

This means the radius is half of the diameter. Since the radius is 16, the diameter will be 2(16) = 32 cm.

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Express this in scientific notation 13,040,000

castortr0y [4]

First, to rewrite something in scientific notation, we want to move the decimal point a number of times to the right or left to end with a number between 0 and 10. In this case, we want to move the decimal point 7 times to the left to get the number 1.304. In scientific notation, this would be the same as 1.304*10^7.

I hope this helps!

3 0

3 years ago

A quiz has 8 multiple choice questions and 4 options for each. How many ways are there to answer the questions

andreev551 [17]

hiAnswer:

Step-by-step explanation:

7 0

3 years ago

The area of a triangular sail is given by the expression 12bh, where b is the length of the base and h is the height. What is th

Natalija [7]

Answer:

42 square inches

Step-by-step explanation:

Area of a triangle = (1/2)(base)(height)

A = 1/2(12)(7)

A = 1/2(84)

A = 42

4 0

2 years ago

At a dinner, the meal cost $32 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $64 meal?

Vilka [71]

Answer:

3.74

Step-by-step explanation:

Since 64 is x2 the number 32, and the tax for that is 1.87 you times that times 2 so:

1.87x2=3.74

3 0

2 years ago

A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?

kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

$f(x)=\frac{1}{2^{2x}}$ (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

$\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]$ (2)

To solve this derivative you use the following derivative formula:

$\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}$

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

$\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)$

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

$-2(ln2)2^{-2x}=-1$

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

$-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235$

With this value you calculate f(a):

$f(a)=\frac{1}{2^{2(0.235)}}=0.721$

Next, you use the general equation of line:

$y-y_o=m(x-x_o)$

for xo = a = 0.235 and yo = f(a) = 0.721:

$y-0.721=(-1)(x-0.235)\\\\y=-x+0.956$

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

$0=-x+0.956\\\\x=0.956$

hence, the x-intercept of the tangent line is 0.956

5 0

3 years ago