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elena55 [62]
3 years ago
14

Fred, Barney, Wilma and Betty together stacked a total of 50 rocks in the quarry. Fred stacked 0.14 of the rocks, Barney stacked

4 of the 50 rocks, Wilma stacked 24% of the rocks, and Betty stacked the remaining rocks. Who stacked the most rocks? (5 points) a Fred b Barney c Wilma d Betty
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

the awnser is d

Step-by-step explanation:

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Given: △ABC, m∠A=60°
Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}}  = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08

\Rightarrow \dfrac{AC}{0.96}  = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

<em></em>

Area of a triangle is given as:

\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)

\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}

8 0
3 years ago
Write the ratio 2/7 to 4 as a fraction in simplest form
posledela

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

2/7 * 1/4

= 2/28

You can simplify by dividing the numerator and denominator

which will give you 1/14

Hope this help :)

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7 0
3 years ago
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Answer: 232

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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