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3 years ago

Line segment AB is shown on a coordinate grid:

Mathematics

2 answers:

Nuetrik [128]3 years ago

6 0

Answer: A'B' and AB are equal in length.

alisha [4.7K]3 years ago

5 0

A’B’ and AB are equal in lenght
When we rotate an object it’s length does not chance only it’s position.
(270 degrees it means you rotate 3 times)

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George wants to invest $20,000 One investment pays interest at a rate of 18 2/3% while another pays interest at a rate of 0.1872

xz_007 [3.2K]

Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest (R1) = 18 $\frac{2}{3}$ % = $\frac{56}{3}$ %

I.e R1 = 18.67 %

Again The The Rate of interest (R2) = 0.1872 = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × $(1 + \frac{Rate}{100})^{Time}$

Or, A 1 = $ 20 , 000 × $(1 + \frac{18.67}{100})^{1}$

Or, A 1 = $ 20 ,000 × 1.1867

∴ A 1 = $ 23,734

And A 2 = $ 20 , 000 × $(1 + \frac{18.72}{100})^{1}$

Or, A 2 = $ 20 ,000 × 1.1872

∴ A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

7 0

4 years ago

Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder X^2+y^2=1

hichkok12 [17]

Answer:

$\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}$

Step-by-step explanation:

Given that:

The surface area (S.A) $z = x^2 +y^2$

Hence the S.A is of form z = f(x,y)

Then the S.A can be represented with the equation

$A(S) = \iint _D \sqrt{1+ (\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2} \ dA$

where :

D = cylinder $x^2 +y^2 =1$

In polar co-ordinates:

D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)

Similarly, $\dfrac{\partial z}{\partial x} = 2x$ and $\dfrac{\partial z}{\partial y} = 2y$

Therefore;

$S.A = \iint_D \sqrt{1+4x^2+4y^2} \ dA$

$= \iint_D \sqrt{1+4(x^2+y^2)} \ dA$

$= \int^{2 \pi}_{0} \int^{1}_{0} \sqrt{1+4r^2} \ r \ dr \d \theta$

$= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0$

$= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]$

$\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}$

6 0

3 years ago

Cookies are on sale! Today each cookie costs

iragen [17]

Whats the question?
I think the question is "how much are 7 of them if the sale wasn't going on."
which, without the sale, each cookie is originally $1.5, multiplied by 7, is $10.5 so you save a lot of money.
i think this was your question

5 0

3 years ago

What is the ratio of 2 cups of flour and 1 cup of milk.

Marina86 [1]

Answer:

either 1:2 or 2:1. I think.

7 0

3 years ago

a girl went to school for the first time and asked her how old are you the girl said I don't know but I know my mother's age is

elena55 [62]

Answer:

Nw how old is the girl, her mum & her dad?

let x=xmum's age

x+5=dad's age

x/2 =girl's age

x+x+5+x/2=100

3.5x=95

xmum's age=38

dad's age=43

girl's age=19

3 0

3 years ago