What is 58,000,000,000 estimated as the product of a single digit and a power of 10?A. 5 x 10^9
B. 5 x 10^10
C. 6 x 10^9
D. 6 x 10^10

Answers

Answer 1

Answer: The number 58,000,000 is number that may be expressed in its scientific notation as 5.8 x 10^9. However, we are asked to answer such that the product be of single digit only. That is obtained by rounding the number 5.8 to 6. Thus, the answer is 6 x 10^9.

Answer 2

Answer: $The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}.\n\n5\underbrace{8,000,000,000}_(\leftarrow10)=5.8\cdot10^(10)\approx6\cdot10^(10)\to\fbox{D.}$

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Questions that are circled with work please

Which number is a factor of 100?
08

Answers

It’s only one number listed

The answer should be 5,10,2
Hope this helps

What is the directrix of the parabola defined by 1/4(y 3)=(x-2)^2?

Answers

for
(x-h)^2=4p(y-k)
vertex=(h,k)
p=vertical distance from vertex to directix
when p is negative, the directix is above the vertex
when p is positive, the directix is below the vertex

(x-2)^2=1/4(y+3)
(x-2)^2=4(1/16)(y+3)
p=1/16
it's positive so we know directix is below vertex
vertex is (2,-3)
go 1/16 down
-3-1/16=-48/16-1/16=-49/16
directix is y=-49/16 aka y=-3.0625

Answer:

y=-49/16

Step-by-step explanation:

Ples help meeeeeeeee

Answers

Answer:

6610

Step-by-step explanation:

Move the decimal 2 spots to the right and add 2 zeros more behind the 528.8

so its becomes 8 divide what that number is

Answer:

See attached image for calculations.

Step-by-step explanation:

To make the calculation easier, we multiply both dividend and divisor by 100 to work with whole numbers, thus

528.8/0.08 = 52880 / 8

See attached image for details.

If two angles are supplementary and one of them is 30 , what is the measurement of the second angle? A. 180
B. 90
C. 60
D. 150

Answers

You just need to know the definition of suplementary angles. Two angles are suplementary if the sum 180°. So, you now can easily deduct that the unkonwn angle is such that when sumed to 30° the result is 180° => x + 30 = 180=> x = 180 - 30 => x = 150°. And the answer is the option D) 150.

Answer: Hello there!

If you have a line (with a plane angle of 180°) and a segment that cuts the line, the two angles generated by the line and the segment are supplementary, and the sum of them should be equal to 180°

if one of the angles is 30°, then the other angle should be:

180° - 30° = 150°

then the right answer is option D.

What is the diangonal of cuboid formula. a.l²+b²+h² b.√l²+b² c.√l²+b² d. √l²+b²+h²

Answers

Answer:

$d.\ √(l^2+b^2+h^2)$

Explanation:

$\mathrm{Using\ the\ pythagoras\ theorem\ in\ the\ right\ triangles\ FBH\ and\ FGH,\ the}\n\mathrm{diagonal\ of\ cuboid\ can\ be\ calculated\ as:}√(l^2+b^2+h^2).$

Final answer:

The formula to calculate the diagonal of a cuboid is d = √l²+b²+h². The formula comes from the Pythagorean theorem and allows you to calculate the longest line that can be drawn from one corner of the cuboid to the opposite corner.

Explanation:

The diagonal of a cuboid represents the longest line that can be drawn from one corner of the cuboid to the opposite corner, passing through the cuboid's interior. The formula to calculate the diagonal of a cuboid is d = √l²+b²+h². In this formula, 'l' stands for the length, 'b' is the breadth, and 'h' is the height of the cuboid.

This formula originates from the Pythagorean theorem, and its derivation involves solving for the hypotenuse of a right angled triangle that exists within the cuboid.

This is indeed the 'd' option offered in your multiple choice question. The other options include the formulas for the diagonal of a rectangle (the 'b' and 'c' options) and the square of the diagonal of a cuboid (the 'a' option).

Learn more about Pythagorean theorem

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Express 0.19494 as a fraction