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siniylev [52]
3 years ago
6

Write the number 510 in scientific notation.

Mathematics
2 answers:
Whitepunk [10]3 years ago
7 0

Answer:

500+10+0

Step-by-step explanation:

kolbaska11 [484]3 years ago
4 0

Answer:

5.1 x 102 in scientific notation

Step-by-step explanation:

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease. Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10bStep 1

step1: To find a, take the number and move a decimal place to the right one position.

Original Number: 510

New Number: 5.10

step 2: Now, to find b, count how many places to the right of the decimal.

New Number: 5 . 1 0

Decimal Count:   1 2

Step 3: Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 5.1 (Please notice any zeroes on the end have been removed)

b = 2

Now the whole thing:

5.1 x 102

Step 4:

Check your work:

102 = 100 x 5.1 = 510

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Answer:

The answer is 25\pi units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The distance between the x's is 9-3=6.

The distance between the y's is 9-1=8.

The distance between the points is given by \sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10.

The radius is therefore \frac{10}{2}=5.

We are asked to find the area of this circle.

The formula for finding the area of a circle is \pi r^2.

Since the radius is 5, then the area in terms of \pi,(pi), is \pi (5)^2=\pi (25).

The answer is 25\pi units squared.

4 0
3 years ago
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. The diameter of Bubba's bubble is
Oksana_A [137]

Answer:

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Step-by-step explanation:

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30.67 - 20.45

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In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.
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Answer:  ∠B = 50°

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ACB is a right triangle where ∠A = 40° and ∠C = 90°.

Use the Triangle Sum Theorem for ΔABC to find ∠B:

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Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

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