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2 years ago

Are the side lengths of the squares in Diagram A and Diagram B equivalent? Explain your reasoning?

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

6 0

Answer: Yes they are equivalent square side lengths

Explanation:

Diagram A has a circle with diameter 10 ft, so this is the side length of the square.

For diagram B, count along the bottom row and you'll count out 5 circles each of which have a diameter of 2 feet (double the radius of 1 ft), leading to a total square side length of 2*5 = 10 ft.

Both squares have a side length of 10 feet.

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3 years ago

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The larger of two numbers is 10 less than 5 times the smaller.their sum is 146 .find the smaller number

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3 years ago

Find the y-intercept of the line on the graph.

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3 years ago

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).

Phoenix [80]

Answer:

$y=20(2)^x$

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

$y=ab^x$

The point (0, 20) tells us that y = 20 when x = 0. Hence:

$20=a(b)^0$

Simplify:

$20=a(1)\Rightarrow a=20$

So, our exponential function is now:

$y=20(b)^x$

Next, the point (6, 1280) tells us that y = 1280 when x = 6. Thus:

$1280=20(b)^6$

Solve for b. Divide both sides by 20:

$64=b^6$

Therefore:

$b=\sqrt[6]{64}=2$

Hence, our function is:

$y=20(2)^x$

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2 years ago