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LenaWriter [7]
3 years ago
6

Pls help due asap Thanks in advance

Mathematics
1 answer:
ira [324]3 years ago
4 0

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

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A cardboard box without a lid is to be made with a volume of 44 ft3. Find the dimensions of the box that requires the least amou
-BARSIC- [3]

Answer:

x =  3.53 ft

y - 3.53 ft

z = 3.53 ft

Step-by-step explanation:

given details

volume = 44 ft^3

let cardboard dimension is x and y and height be z

we know that area of given cardboard without lid is given as

A = xy + 2xy + 2yz

xyz   = 44 ft^3

To minimize area we have

A = xy + 2x (44/xy) + 2y(44/xy)

A = xy + (44/y) + (44/x)

we have

Ax = y - \frac{44}{x^2}

0 = yx^2 = 44................1

Ay = x - \frac{44}{y^2}

0 = x - \frac{44}{y^2}

xy^2 = 44 ..............2

from 1 and 2

yx^2 = xy^2

xy(y-x) = 0

xy = 0 or y = x

from geometry of probelem

x ≠ 0 and y ≠ 0

so y = x

x^3 = 44

x =  3.53 ft = y

z = 44/xy = 3.53

6 0
3 years ago
NEED HELP ON THIS . THANKS FOR THE HELP
Vedmedyk [2.9K]
\dfrac{1.4\cdot10^5}{3.5\cdot10^3}=\dfrac{1.4}{3.5}\cdot10^{5-3}=0.4\cdot10^2=0.4\cdot100=40
The diameter of Jupiter is about 40 times the diameter of Earth's moon.

5 0
3 years ago
What is the set builder form for [6,7,8,9, ....]​
Shalnov [3]

Step-by-step explanation:

the set builder form for [6,7,8,9, ....] is given as:

\{x : x = n, \:  \: n \in \: N, \:  \: n \geqslant 6 \}

5 0
3 years ago
IMPORTANT GUYS please help
rusak2 [61]

Answer:

x=3,y=7

Step-by-step explanation:

8x+3y=45

2x+3y=27

8x-2x=6x

45-27=18

<u>6</u><u>x</u><u>=</u><u>1</u><u>8</u>

6. 6

x=3

2x+3y=27

2(3)+3y=27

6+3y=27

3y=27-6

<u>3</u><u>y</u> = <u>2</u><u>1</u>

3. 3

y=7

3 0
3 years ago
The sum of three consecutive even integers is 264. What are the integers? (show your work)
Anettt [7]

Answer:

1 Expert Answer

X + Y + Z = 264. Since Y is 1 bigger than X, Y = X + 1. Since Z is 1 bigger than Y, Z = Y + 1. But Y = X + 1, so Z = (X + 1) + 1 = X + 2.

4 0
2 years ago
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