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3 years ago

Can you please explain how 7.86×4.6=36.156

Mathematics

1 answer:

Mashcka [7]3 years ago

7 0

7.86 x 4 is 36.156 because you have to line up the decimals and multiply them and then you get 36.156

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Can u help me figure out this question plz

Dmitry [639]

Rectangle = 9*5=45
Triangle= 1/2 * 10 * 3 = 15
Add the two shapes: 45+15 = 60 sq units

4 0

3 years ago

There are 95 white pieces of paper in a hat along with 5 blue pieces of paper. What is the theoretical probability that a blind-

sp2606 [1]

Answer:

Step-by-step explanation:

Probability is the likelihood of an event taking place.

-Given there are 95 white and 5 blue pieces, the total number of papers is 100.

-The theoretical first attempt probability is equivalent to the number of each paper divided by the total:

$P(blue)= \frac{no \ of \ blue}{total}\\\\=\frac{5}{100}\\\\=0.05$

Hence, the theoretical probability that a blind-folded person draws a blue piece of paper on the first attempt is 0.05 or 5%

6 0

3 years ago

For the following right triangle, find the side length of x. round your answer to the nearest hundredth.

tatyana61 [14]

Answer:

14.87 units

Step-by-step explanation:

The sides of all right triangles share the same relationship known as the Pythagorean Theorem a² + b² = c². Substitute the lengths of the triangle into the theorem and solve for the unknown side. Since the problem does have an attached a picture, assume that a = 10, b = 11, and c = x.

10² + 11² = x²

100 + 121 = 221²

221 = x²

√221 = √x²

14.87 = x

6 0

3 years ago

Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an

Mashutka [201]

Answer:

$\sqrt\frac{387}{20}$

Step-by-step explanation:

$Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx$

$y=\dfrac{3}{5}x^{\frac{5}{3}}- \dfrac{3}{4}x^{\frac{1}{3}}+6$

$\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}$

$1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})$

$=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}$

For the Interval $1\leq x\leq 8$

Length of the Curve $=\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\$

Using T1-Calculator

$=\sqrt\frac{387}{20}$

3 0

3 years ago

What is 55/122 simplified

otez555 [7]

<span>There is no number that both 55 and 122 are divisible by. ....so 55/122 is the simplified form itself ....if u divide u will get the answer in decimals ....

Hope it helps !!!

</span>

7 0

4 years ago