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3 years ago

1.) Six people share 3/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? There aren't an

y multiple choices. I think 10 or 18/5.
2.) If one honeybee makes 1/12 teaspoon of honey during its lifetime, how many honeybees are needed to make 1/2 teaspoon of honey?

Mathematics

1 answer:

Natalka [10]3 years ago

8 0

$1)~ \frac{3}{5} \times \frac{1}{6} =\boxed { \frac{1}{10} } \\ \\ 2)~ \frac{1}{2} \times 12 = \boxed {6}$

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A cylinder has a surface area of 5652 square millimeters. If the diameter of the cylinder is 30 millimeters, what is the height?

o-na [289]

The formula for the surface area of a cylinder is:

$\sf A=2\pi rh+2\pi r^2$

Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):

$\sf 5652\approx 2(3.14)(15)h+2(3.14)(15)^2$

Simplify:

$\sf 5652\approx 94.2h+1413$

Subtract 1413 to both sides:

$\sf 4239\approx 94.2h$

Divide 94.2 to both sides:

$\boxed{\sf h\approx 45~mm}$

So the height is approximately 45 millimeters.

7 0

3 years ago

Read 2 more answers

Enter the numerator that makes the equation true.

Gelneren [198K]

Answer:

1 3/4

Step-by-step explanation:

First write the equation in mixed fraction form as;

1 3/4 + 1 1/3 = 1 _/12 + 1 4/12 ⇒ 7/4 + 4/3 = _ + 16/12

7/4 + 4/3 = _ + 16/12

37/12 = _ + 16/12

37/12 - 16/12 = _

= 21/ 12

= 1 9/12

= 1 3/4

6 0

3 years ago

Approximate cos (12π/ 13) by using a linear approximation with f (x) = cos x.

Katarina [22]

First pick a value of $x$ close to $\dfrac{12\pi}{13}$ . You should be fine with $x=\pi$ .

The linear approximation of $f(x)$ at $x=c$ is given by

$f(c)\approx f(a)+f'(a)(c-a)$

where $x=a$ is some fixed value close to $x=c$ . You have

$f(x)=\cos x\implies f'(x)=-\sin x$

so

$f\left(\dfrac{12\pi}{13}\right)\approx f(\pi)+f'(\pi)\left(\dfrac{12\pi}{13}-\pi\right)$
$\cos\dfrac{12\pi}{13}\approx\cos\pi-\sin(\pi)\left(-\dfrac\pi{13}\right)$
$\cos\dfrac{12\pi}{13}\approx-1$

The actual value is closer to -0.9709, so the approximation is decent.

4 0

3 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Mama L [17]

Answer:

The area of the entire yellow region is 48 cm^2.

Step-by-step explanation:

See the attached image :)

6 0

4 years ago

X _> 15 x < 10 find interval notation ASAP PLEASE HELP

Scorpion4ik [409]

Answer:

x ≥ 15, interval notation x ∈ [15, +∞)
x < 10, interval notation x ∈ (-∞, 10)

Combined together:

x ∈ (-∞, 10) ∪ [15, +∞)

8 0

3 years ago