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3 years ago

Which of the following represents the most accurate estimation of 30-18

Mathematics

1 answer:

Volgvan3 years ago

8 0

30-18 is 22. the most accurate estimation would be 20.

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Find the acute angles between the curves at their points of intersection. (the angle between two curves is the angle between the

amm1812

At point of intersection the two equations are equal,
hence, 6x³ =6x²
6x³-6x²=0
6x²(x-1)=0 , the values of x are 0 and 1
The points of intersection are therefore, (0,0) and (1,6)
To find the slopes of the tangents at the points of intersection we find dy/dx
for curve 1, dy/dx=12x, and the other curve dy/dx=18x²
At x=0, dy/dx=12x =0, dy/dx=18x² = 0, hence the angle between the tangents is 0, because the tangents to the two curves have the same slope which is 0 and pass the same point (0,0) origin.
At x=1, dy/dx =12x = 12, dy/dx= 18x² =18, Hence the angle between the two tangents will be given by arctan 18 -arctan 12
= 86.8202 - 85.2364 ≈ 1.5838, because the slope of the lines is equal to tan α where α is the angle of inclination of the line.

5 0

3 years ago

Can someone please help with these volume equations? 10th grade geometry. will reward brainly

prisoha [69]

Answer:

First picture - 20.42 m

Second picture - 12.9 m

Step-by-step explanation:

------------------------------------------------------------------------------------------------------------

Formula for pyramid:

$V=b^2\frac{h}3$

Where,

b = base - 3.5 m

h = height - 5 m

Thus,

$V=3.5^2\frac{5}{3}$

$20.41667m^3$ ≈ $20.42m^3$

------------------------------------------------------------------------------------------------------------

Formula for pyramid:

$V=b^2\frac{h}3$

Where,

b = base - 3 m

h = height - 4.3 m

Thus,

$V = 3^2\frac{4.3}{3}$

$12.9m^3$

------------------------------------------------------------------------------------------------------------

<u><em>Kavinsky</em></u>

6 0

2 years ago

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Helen [10]

Answer:

7 seconds

Step-by-step explanation:

Hello There!

I had created a graph to make it easier to understand

So when y = 0 is when the ball is at the ground

when y = 0 x = 7 so it took about 7 seconds for the ball to hit the ground

3 0

3 years ago

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Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and

Kitty [74]

Answer:

The answer is C.

Step-by-step explanation:

7 0

3 years ago

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An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the e

Elan Coil [88]

The experimental data suggest that

$\mathbb P(\text{red})\approx\dfrac{38}{75}$
$\mathbb P(\text{blue})\approx\dfrac{23}{75}$
$\mathbb P(\text{green})\approx\dfrac{11}{75}$
$\mathbb P(\text{yellow})\approx\dfrac3{75}$

Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So

$\mathbb P(\text{2 consecutive yellows})\approx\dfrac3{75}\cdot\dfrac3{75}=\dfrac1{625}$

5 0

3 years ago

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