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3 years ago

Find the point, (c,f(

Mathematics

1 answer:

wel3 years ago

6 0

I hope this helps you

f'(x)=2x

x=0 f'(0)=2.0=0

x=1 f'(1)=2.1=2

x=2 f'(2)=2.2=4

x=3 f'(3)= 2.3=6

x=4 f'(4)= 2.4=8

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Nico can do 42 push-ups in 3 minutes.

Alchen [17]

Step-by-step explanation:

Hey there!

It is said we need to find the unit rate.

What we can do is apply Unitary Method.

3 minutes = 42 push ups

1 minute = $\sf{\bf{\dfrac{42}{3}}}$

So, 12 push ups per minute is the unit rate.

In 5 minutes, he will do 12×5 = 60 push ups!

Hope it helps :)

4 0

2 years ago

How do you find a volume of a cone?

Dennis_Churaev [7]

Answer:

V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

Cylinder Volume = πr²h

Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

V = Bh . . . . . for an object with congruent parallel "bases"

V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

4 0

2 years ago

What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5. 4 cm?

Vedmedyk [2.9K]

Ok, so find circumference
arc/circumferece=xrad/2pirad

c=2pir
c=2pi6
c=12pi
arc=5.4cm

5.4/12pi=x/2pi
tims both sides by 2pi
5.4/6=x
0.9=x
0.9 radians

4 0

3 years ago

Find the ratio 2 1/2 to 6 1/2

ivanzaharov [21]

Answer:

The ratio 2 1/2 to 6 1/2 is

$\frac{5}{13}\\or\\5:13$

Step-by-step explanation:

Ratio:

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

It is also the Fraction

For example, if a bowl of fruit contains eight apples and six kiwis, then the ratio of apples to kiwis is eight to six.

i.e 8:6, which is equivalent to the ratio 4:3.

Now here,

$2\frac{1}{2}=\frac{4+1}{2}\\\\2\frac{1}{2}=\frac{5}{2}\\\\and\\\\6\frac{1}{2}=\frac{12+1}{2}\\\\6\frac{1}{2}=\frac{13}{2}$

Ratio of 2 1/2 to 6 1/2

$\frac{\frac{5}{2}}{\frac{13}{2}} = \frac{5}{13}\ \textrm{The number 2 will be cancelled from Numerator and Denominator} \\\\Hence,\\Final\ Ratio\ is\ 5 :13$

$\frac{5}{13}$

6 0

3 years ago

Q.Take out the area of the trapezium. Parallel sides-15,23 Non parallel sides-10,8

Dmitriy789 [7]

Answer:

Step-by-step explanation:

Area of a trapezium is the average of the parallel sides times the distance between them.

If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.

Let the base be split into two segments, call one A, the other will be 8 - A

From Pythagoras.

10² - A² = h² = 8² - (8 - A)²

10² - A² = 8² - (8 - A)²

100 - A² = 64 - (64 - 16A + A²)

100 - A² = 64 - 64 + 16A - A²

100 = 16A

A = 6.25

h = √(10² - 6.25²)

h = √60.9375

A = ½(15 + 23)√60.9375

A = 148.31870246... ≈ 148.3 cm²

3 0

3 years ago

Read 2 more answers