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Inga [223]
3 years ago
9

What is the first step in estimating the quotient 492/50

Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer:

See below in bold.

Step-by-step explanation:

Round 492 to 500, then

estimate is 500/50 = 10.

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A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
3 years ago
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
Colt1911 [192]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
35 POINTS FOR ONE QUESTION!!!!
maks197457 [2]

Answer:

<u>5,400 yd²</u>

Step-by-step explanation:

New total area :

  • Original area x scale factor
  • 600 yd² x 9
  • <u>5,400 yd²</u>
7 0
2 years ago
Read 2 more answers
How many ml of 20 percent acid should be added to pure acid to make 70 ml of 30 percent acid?
Novay_Z [31]

Answer:

61.25%

Step-by-step explanation:

How many ml of 20 percent acid should be added to pure acid

to make 70 ml of 30 percent acid?

:

let x = amt of 20% mixture

then

(70-x) = amt of pure acid

:

0.20x + (70-x) =0 .30(70)

0.20x + 70 - x = 21

= 21 - 70

-0.8x =-49

x = 61.25%

x = +61.25 ml of 20% stuff

8 0
3 years ago
Identify the perimeter of a rectangle in which h = 8 ft and a = 144x ft^2. please help asap
Blababa [14]

Here, Given

h= 8ft

a=144 * ft^2

then,

A=L*H

144=L*8 or 144/8 =L

L=18

now, P=2(L+H)

P=2(18+8)

P=52m

Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.

The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.

Learn more about Perimeter & Area here: brainly.com/question/24571594

#SPJ4

7 0
2 years ago
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