All categories

2 years ago

Find the gradients of lines A and B.

Mathematics

1 answer:

Tanya [424]2 years ago

3 0

Let's see

For line A

(2,2)
(3,6)

Slope

m=6-2/3-2
m=4/1
m=4

For line B

(1,6)
(2,4)

Slope

m=4-6/2-1
m=-2/1
m=-2

You might be interested in

A walffle cone has a height of 7 inches and a diameter of 3 inches. What is the volume of ice cram that can be contained within

Anna [14]

Answer:

16.49 cubic inches.

Step-by-step explanation:

Given:

A waffle cone has a height of 7 inches and a diameter of 3 inches.

Question asked:

What is the volume of ice cram that can be contained within the cone?

Solution:

First of we will find the radius ;-

Diameter = 3 inches

Radius, r = $\frac{Diameter}{2} =\frac{3}{2} =1.5\ inches$

As we know:

$Volume\ of\ cone=\frac{1}{3} \pi r^{2} h$

$=\frac{1}{3} \times3.14\times1.5\times1.5\times7\\ \\ =\frac{49.455}{3} \\ \\ =16.485$

Thus, volume of ice cream will be 16.49 cubic inches.

8 0

2 years ago

Which ratios approximate pi ()?

kramer

9514 1404 393

Answer:

A: 66/21

E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

A: 66/21 = 22/7 = 3 1/7

B: 60/20 = 3

C: 21/7 = 3

D: 45/15 = 3

E: 22/7 = 3 1/7

___

Comment on pi approximations

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

5 0

3 years ago

You are part of a rowing team. Every 1, miles you stop to take a drink of water. How many times will you stop to drink water if

musickatia [10]

Answer:

10 stops I think as the 0.2 is not a full mile so you dont stop

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1

Charra [1.4K]

Separating variables, we have

$\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx$

Integrate both sides.

$\displaystyle \int y\,dy = \int x\,dx$

$\dfrac12 y^2 = \dfrac12 x^2 + C$

Given that $y(0)=-1$ , we find

$\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12$

Then the particular solution is

$\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12$

$y^2 = x^2 + 1$

$y = \pm\sqrt{x^2 + 1}$

and because $y(0)=-1$ , we take the negative solution to accommodate this initial value.

$\boxed{y(x) = -\sqrt{x^2+1}}$

7 0

2 years ago

A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe

frutty [35]

Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
Total 550 450 1,000

Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87

0.55 x 0.87 = 0.4785

Probability of being male and earning over $50,000: 485/550 = 0.8818

C) No, P(being male | the person earns over $50,000) ≠ P(being male)

7 0

3 years ago

Read 2 more answers