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3 years ago

8

A rectangle has an area of 24 square centimeters. The width of the rectangle is 3 centimeters. What is the length of the rectang

le?

2 answers:

tigry1 [53]3 years ago

8 0

Answer:

8

Step-by-step explanation:

Area of a rectangle formula lw=A

L3=24

24/3=8

Check

3x8=24

brilliants [131]3 years ago

6 0

Answer: length is 8

Step-by-step explanation:

its just 24 divided by 3 = 8

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each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

so

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

6 0

3 years ago

Between 02 30 and 05 15, the same day ,the volume of water in a reservoir increased from 1500 L to 14 700 L. What was the averag

marishachu [46]

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

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2 years ago

Read 2 more answers

(x+2)(x-18)=0<br><br>FIND THE SOLUTIONS OF THE EQUATION

vladimir2022 [97]

Either one at any given time could be equal to zero. So
x + 2 = 0
x = - 2

x - 18 = 0
x = 18

I've enclosed a graph of this so you can see that the answers I've given are the ones expected.

6 0

3 years ago

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If U = the set of odd natural numbers and B = {13, 15, 17, 19, 21, 23, . . .}, find B′.

Yuki888 [10]

Answer:

{1,3,5,7,9,11}

Step-by-step explanation:

B' stands for the complement of B.

B' means set elements in the universe that aren't in B.

Here is the universe:

U={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,...}

(The dots mean it continues with that pattern forever and ever.)

And the elements we taking out:

B={13,15,17,19,21,23,...}

So we taking out the odd numbers from U that are odd and greater than or equal to 13. (The dots mean it continues with that pattern forever and ever.)

So B' is the set of natural odd numbers that are less than 13:

{1,3,5,7,9,11}

8 0

3 years ago

Read 2 more answers

Your EZ Pass account begins with $80. It costs you $4/day. Write an equation

vivado [14]

Answer:

The equation is $A(d) = 80 - 4d$

Step-by-step explanation:

Linear function:

A linear function for the amount of money in an account after t days is given by:

$A(d) = A(0) - md$

In which A(0) is the initial value and m is the daily cost.

Your EZ Pass account begins with $80. It costs you $4/day.

This means that $A(0) = 80, m = 4$

So

$A(d) = A(0) - md$

$A(d) = 80 - 4d$

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3 years ago