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Svetach [21]
2 years ago
7

Joe ordered a large cake for his brothers. He gave 1 out of 12 of the cake to David, 5 out of 12 of the cake to John, and 2 out

of 12 of the cake to Ali. He ate the remaining cake himself. What fraction of the whole cake did Joe eat?
Mathematics
2 answers:
netineya [11]2 years ago
7 0

Answer: 4/12 or 1/3

Step-by-step explanation:

A whole cake is 12/12.

He gave away 1/12, 5/12, and 2/12s of the cake

1+5+2 = 8

So he gave out 8/12s of the cake, which means he has 4/12 left, or 1/3 if you want simplest form.

Hope this helps.

kondaur [170]2 years ago
4 0
He ate 4/12 slices, simplified which is 1/3 of the cake or 0.3 repeating
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-17.5/5 = -3.5

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The rate of the anchor is 3.5 meters per second.
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3 years ago
Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the
Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle ABCD as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}

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3 years ago
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Nataliya [291]

3. 12 a

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Musya8 [376]

Answer:

ΔMNO= 90°, <em>m </em>= 7.316 cm, <em>n</em> = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

<u><em>Calculating the length of m</em></u>

We know that the Tangent of an angle is gotten by dividing the <u>opposite</u> side by the <u>adjacent</u> side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = <em>m </em>÷ 15

0.4877 = <em>m </em>/ 15

make <em>m </em>the subject and multiply both sides by 15

0.4877 × 15 = <em>m </em>/ 15 × 15

7.3155 = <em>m</em>

∴ <em>m </em>= 7.316 cm

<u><em>Calculating the length of n</em></u>

For this we can use the Pythagoras theorem that states, a² + b² = c² where <em>m </em>= <em>a</em><em>, </em><em>b </em>=<em> </em>15 cm and <em>c</em> = <em>n</em>. Hence:

7.316² + 15² = <em>c </em>²

53.52 + 225 = <em>c ²</em>

278·52 = <em>c ²</em>

<em>c</em> = √278·52

<em>c</em> = 16.69

∴ <em>n </em>= 16.69 cm

We could also use the Cosine of ΔOMN to get length <em>n </em>i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ <em>n</em>

0.8987 = 15 / <em>n</em>

Make 15 the subject and multiply both sides by <em>n</em>

0.8987 × <em>n  </em>= 15 / <em>n </em>× <em>n</em>

0.8987 <em>n </em>= 15

Divide both sides by 0.8987

0.8987 <em>n </em>÷ 0.8987 = 15 ÷ 0.8987

∴ <em>n </em>= 16.69 cm

Hope this helps!

8 0
2 years ago
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