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NISA [10]
3 years ago
14

What is the area of the rectangle shown below?

Mathematics
2 answers:
Genrish500 [490]3 years ago
8 0
Area = length x width.
length = 8
width = 4
area = 32
krek1111 [17]3 years ago
4 0
Your answer is 8 times 4 is 32.
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Given that the measure of ∠x is 73°, and the measure of ∠y is 90°, find the measure of ∠z.
Westkost [7]

Answer:

The measure of z is 17

Step-by-step explanation:

90 plus 73 equals 163

180 minus 163 equals 17

8 0
3 years ago
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph
diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines :  y = √x, y = 2, x = 0.

<u>a) The x-axis </u>

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {y.y^2} \, dy  

∴ Vol = 8π

<u>b) The line y = 2  ( using the shell method )</u>

p = 2 - y

h = y^2

vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy

     = ( 2π ) * [ 2/3 * y^3  - y^4 / 4 ] ²₀

∴ Vol  = 8/3 π

<u>c) The y-axis  ( using shell method )</u>

h = 2-y  = h = 2 - √x

p = x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

     = (2\pi ) \int\limits^4_0 {x(2-\sqrt{x}  ) } \, dx

     = ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

<u>d) The line x = -1    (using shell method )</u>

p = 1 + x

h = 2√x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

Hence   vol = 176/15 π

attached below is the graphical representation of P and h

3 0
3 years ago
HELP ME ASAP PLEASE?!?!
miss Akunina [59]
A True

Congruent means to have the same shape and size or when we can cut them out and then match them up completely.
3 0
3 years ago
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Solve the problem give the equation using x as the variable and give the answer. If 1 is subtracted from a number and this diffe
V125BC [204]

Answer:

x=6

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

3(x-1)=15+x

3x-3=15+x

2x-3=15

2x=12

x=6

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

6 0
2 years ago
You have $15.71, chicken nuggets cost $1.49. If you buy 5 orders of chicken nuggets, how much money do you have left?
fredd [130]

Answer:

$8.26

Step-by-step explanation:

We have 15.71 total. Chicken nuggets each cost $1.49. We are ordering 5 orders of chicken nuggets, so we use multiplication. 1.49*5= $7.45. Since we spent 7.45 from 15.71, to find the rest, we subtract. 15.71-7.45 = 8.26

6 0
3 years ago
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