The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and width.

Answers

Answer 1

Answer: Length = l
Width = w
2l + 2w = 80cm

l+w = 40cm

l = w+4

w+4 + w = 40cm
2w + 4 = 40cm
2w = 36cm
w = 18cm
l = 22cm

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The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the polygon to the nearest tenth of a unit. Do not label your answer. Answer with a number only.

Answers

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}$

step 2

Find the distance AB

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^(2)+(-3+2)^(2)}$

$d=\sqrt{(2)^(2)+(-1)^(2)}$

$d_A_B=√(5)=2.24\ units$

step 3

Find the distance BC

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^(2)+(-1+3)^(2)}$

$d=\sqrt{(2)^(2)+(2)^(2)}$

$d_B_C=√(8)=2.83\ units$

step 4

Find the distance CD

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^(2)+(2+1)^(2)}$

$d=\sqrt{(-1)^(2)+(3)^(2)}$

$d_C_D=√(10)=3.16\ units$

step 5

Find the distance DE

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^(2)+(2-2)^(2)}$

$d=\sqrt{(-3)^(2)+(0)^(2)}$

$d_D_E=√(9)\ units$

$d_D_E=3\ units$

step 6

Find the distance AE

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^(2)+(2+2)^(2)}$

$d=\sqrt{(0)^(2)+(4)^(2)}$

$d_A_E=√(16)\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

What shape best describes the cross section cut at an angle to the base of a right rectangular prism

Answers

Answer:

Parallelogram.

Step-by-step explanation:

A rectangular prism has a rectangle as its base . A rectangle is a parallelogram with all angles 90 degrees and opposite sides of equal length.

When we cut a cross section is cut at an angle to the base of a right rectangular prism the shape is that of a parallelogram. A parallelogram has opposite sides parallel and equal.

The answer is parallelogram

0.000033 in scientific notation?!

Answers

we know that

$0.000033=(33)/(1,000,000) =(33)/(1*10^(6)) =33*10^(-6) =3.3*10^(-5)$

therefore

the answer is $3.3*10^(-5)$

3.3 times -10 to the fifth power.

I don't get # 2 please help and fast

Answers

I wouldn't say that. It looks to me like you've absolutely got it ... almost.

A). Your fraction is correct. But it's not in simplest form like they want it.
Reduce 18/45 to simplest form. Hint: Divide top and bottom by 9 .

B). They want the percentage that's the same as 18/45 .
Do you remember how to change a fraction to percent ?
A fraction is just a short way to say "division".
" 18/45 " means " 18 divided by 45 ".
Do the division. To change the quotient into percent, multiply it by 100 .
(Same as moving the decimal point 2 places to the right.)
Round it the nearest whole number, if it isn't already a whole number.

C). Again, your fraction is correct, but it isn't in simplest form.
Reduce 27/45 to simplest form. Hint: Divide top and bottom by 9 again.

D). Change this fraction to percent, just like you did for the female fraction.
(Do the division that the fraction says, and multiply the quotient by 100.)
(Round to the nearest whole number percent if it isn't already.)

You already did the technical stuff. I just added some mechanical things.

Which congruence theorems prove tht MNP and QRS are be congruent?
Word Bank:
AAS theorem, ASA postulate, SAS postulate,
SSS postulate, HA, AA, HL, LA, LL, HH

Answers

Answer

AAS

Step-by-step explanation:

1. Maritza is baking cookies to bring to school and share with her friends on her birthday. The recipe requires eggs for every cups of sugar. To have enough cookies for all of her friends, Maritza determined she would needeggs. If her mom bought cups of sugar, does Maritza have enough sugar to make the cookies? Why or why not?