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2 years ago

Francine uses \dfrac23

Mathematics

1 answer:

andrew11 [14]2 years ago

6 0

Answer:

Step-by-step explanation:

If Francine uses 1/3 cup of pineapple juice for every 1/2 cup of orange juice to make a smoothie then:

1/3 cup of pineapple = 1/2cup of juice

We need to know the amount he will use for 1 cup of Orange juice, say;

x cup of pineapple = 1cup of Orange juice

Equating both

1/3 cup of pineapple = 1/2cup of juice

x cup of pineapple = 1cup of Orange juice

Cross multiply

1/2 × x = 1/3 × 1

x/2 = 1/3

3x = 2

x = 2/3

Hence he will need 2/3 cups of pineapple for 1 cup of Orange juice

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Akimi4 [234]

Answer:

849.9 cm squared

Step-by-step explanation:

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2 years ago

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A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it

34kurt

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Diameter of the wheel = 16 in

Full circumference of the wheel

C =πd = 16π

Bike moves

56π

The wheel turns:

56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

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2 years ago

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zvonat [6]

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2 years ago

PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED

Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

$x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61$

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

$d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00$

From the calculations above, the values of the triangle are

diagonal = 7
base = 3.61
height = 6

Learn more on pythagorean theorem here;

brainly.com/question/231802

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7 0

1 year ago

\log_{4} x + \log_{4} (x+5) = 6

irina1246 [14]

log(4)x + log(4)(x + 5) = 6
log(4)x + log(4)x + log(20) = 6
 log(8)x + log(20) = 6
 - log(20) - log(20)
 log(8)x = 6 - log(20)
 log(8) log(8)
 x ≈ 0.999

8 0

2 years ago