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Y_Kistochka [10]
2 years ago
9

Edward is making a rectangular picture frame. He wants the perimeter of a frame to be no more than 96 inches. He also wants the

length of the frame to be greater than or equal to the square of 4 inches less than its width.
Instructions: Create a system of inequalities tomorrow love you both situation and use it to determine how many of the solutions are viable.
Mathematics
1 answer:
Bess [88]2 years ago
8 0

No more than in terms of math means less than or equal to.

P = 2l + 2w

{96 ≤ 2l + 2w

{L ≥ w - 4

Here we see a system of linear inequality in two variables.

You finish.

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As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.11.
Elis [28]

Answer:

124.67cm³

Step-by-step explanation:

==>Given:

Dimensions of current can:

Height (h) = 12cm

Diameter = 6cm (radius = 3cm)

Volume of current can (V1) = 339.12 cm³

Dimensions of future cans to be increased multiple of 1.11:

height = 12cm × 1.11 = 13.32 cm

radius = 3cm × 1.11 = 3.33 cm

Volume of future can (V2) = πr²h = 3.14*3.33²*13.32

= 3.14*11.0889*13.32 = 463.791025

V2 ≈ 463.79 cm³

==>Find how much more would new cans hold = Volume of new can - volume of current can

= 463.79 cm³ - 339.12 cm³

= 124.67cm³

5 0
2 years ago
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each r
bulgar [2K]

Answer:

The answer to your question is 8 h

Step-by-step explanation:

Data

length of the ladder = 200 cm

distance between each rung = 20 cm

rate = 10 cm/h

fifth rung = ?

Process

1.- Calculate the total distance the tide must rise

distance = 20 cm x 4

              = 80 cm              because the first rung touches the water

2.- Calculate the time

rate = distance / time

-Solve for time

time = distance / rate

-Substitution

time = 80 cm / 10cm/h

-result

time = 8 h

3 0
1 year ago
If c = 10d, what percent of 3c is 3d?
son4ous [18]

Answer:

1000%

Step-by-step explanation:

c=10d,

3c will become 3*10d=30d

d is 10 times to c which converts to 1000%

6 0
1 year ago
Find two complex numbers that have a sum of i10 a different of -4and a product of -29​
lianna [129]
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

8 0
2 years ago
2 quadrilaterals have identical side lengths and angles measures. The second quadrilateral is rotated 90 degrees to the left. Wh
mixas84 [53]

Answer:

rotation

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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