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Harlamova29_29 [7]
3 years ago
9

4. Suppose the length of each side of a cube of ice is 4 centimeters. Find

Mathematics
1 answer:
vredina [299]3 years ago
6 0

Answer:

96cm^2

Step-by-step explanation:

cubes have 6 identical sides

4*4=16

16*6=96

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Tanya [424]
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6 0
2 years ago
(a) At Garcia's Bike Rentals, it costs $36 to rent a bike for 9 hours.
OleMash [197]

Answer:

15 mins per dollar

Step-by-step explanation:

how many minutes are their in 9 hours?

540 minutes

so, we divise 540 to 36

this results to 15.

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3 0
3 years ago
Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5),
Arlecino [84]

Answer:

W1 =  ( -75, 20, 1 , 0 )

W2 = ( 25, -7 , 0, 1 )

Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

-x2 + 20x3 -7x4 = 0         note: x3 and x4 are free variables

we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

∴ x1 - 28 + 3 = 0 = x1 = 25

W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )

now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

7 0
2 years ago
Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
RSB [31]

Answer:

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

ΔABC is a right angle triangle too. Therefore,

AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

Step-by-step explanation:

7 0
2 years ago
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Solve for x. round to the nearest tenth
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Step-by-step explanation:

848474u757585857577574urur7uu is the same man I love and love the following ❤ ❤ ❤ is a counting 4x and simplify and q woman in a whole week with the kids is the same man who sometimes lives with his secrets and his problems with the people who are in need to be to the people around the following x will not be allowed for a long term by the end up to be to be done in a whole week of i love u ur hand msome

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2 years ago
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