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2 years ago

Can someone help me with this problem

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

4 0

Answer:

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

A(-3, 0) , B(3, 2)

$AB=\sqrt{(3-(-3))^2+(2-0)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}$

A(-3, 0), D(-2, -3)

$AD=\sqrt{(-2-(-3))^2+(-3-0)^2}=\sqrt{1^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

AB = CD and AD = BC

The area of a rectangle:

$A=(AB)(AD)$

Substitute:

$A=(2\sqrt{10})(\sqrt{10})=(2)(10)=20$

The perimeter of a rectangle:

$P=2(AB+AD)$

Substitute:

$P=2(2\sqrt{10}+\sqrt{10})=2(3\sqrt{10})=6\sqrt{10}$

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Missy took a math test and got 35 correct and 10 incorrect. What was the percentage of correct answers?(round to the nearest hun

UNO [17]

Answer:

77.77 or 78%

Step-by-step explanation:

She got 35/45 so

35 divided by 45 is 0.777777778

0.777777778 x 100 = 77.7777778

77.77% or 78%

3 0

2 years ago

1+4=5 2+5=12 3+6=21 what is 8+11=

BlackZzzverrR [31]

8+11 is 19 Hope it helped

7 0

2 years ago

It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor

max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

$\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}$

$\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}$

$\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}$

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0

2 years ago

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

$T = (-1250(0))-(-1250e^0)$

$T = 1250$

this is the total amount of waste

6 0

2 years ago

I need help with this<br>

Nataly [62]

Answer:

y=3/4x +7

Step-by-step explanation:

The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.

To find b, we can plug in the x,y, and given slope.

$4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7$

so now we can write b and m in the original equation.

which gives us, y =3/4x +7

8 0

2 years ago

Can someone help me with this problem ​

Can someone help me with this problem