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marin [14]
3 years ago
9

If 5 over 6 gallon covers 1 over 4 of the house then how much paint is needed for the entire house

Mathematics
1 answer:
MissTica3 years ago
4 0
If 5/6 gallons covers a quarter of the house, then you would need 4 times as much paint:
\frac{5}{6}  \times 4
Which is 20/6 gallons or 3 and 1/3 gallons
Hope this helped
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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
At a birthday party there were five more girls than boys. If the ratio of girls to boys was 4 to 3,
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Let number if boys be x

  • No of girls=x+5

ATQ

\\ \sf\longmapsto \dfrac{x+5}{x}=\dfrac{4}{3}

\\ \sf\longmapsto 3(x+5)=4x

\\ \sf\longmapsto 3x+15=4x

\\ \sf\longmapsto 4x-3x=15

\\ \sf\longmapsto x=15

<h3>Number of girls</h3>

\\ \sf\longmapsto x+5=15+5=20

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Over [174]

Adding and subtracting with negative numbers

First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:

If both numbers are positive, then the answer is positive.

If both numbers are negative, then the answer is negative.

If the numbers have different signs, the answer takes the sign of the higher number.

Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.

Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.

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