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Artyom0805 [142]
3 years ago
10

Find the distance and midpoint for the following coordinates. P(7.6 , 10.1) and Q(4.6 , 3.1)

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0
Solving for the midpoint:

x - coordinate: (7.6 + 4.6)/2 = 6.1
y - coordinate: (10.1 + 3.1)/2 = 6.6

Midpoint: (6.1 , 6.6)

Solving for the distance:

Distance formula: sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

D = sqrt( (7.6 - 4.6)^2 + (10.1 - 3.1)^2 <span>)
D = sqrt( 3^2 + 7^2)
D = sqrt(58)
D = 7.62 units

Distance = 7.62 units</span>
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If the height is h, then h/65=sin70, so h=65sin70=61.08m approx.
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How do you convert percentages into decimals??
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Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

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2 years ago
Using the triangle below, find the ratio please need help answering for a quiz
Murrr4er [49]
<h3>sin22° = 5/4</h3><h3>tan22° = 3/√55</h3>

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

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8 0
3 years ago
Using a formula estimate the body surface area of a person whose height is 150 cm and who weighs 80 kg.
ladessa [460]

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B. 1.83\text{ m}^2

Step-by-step explanation:

We are asked to find the body surface area of a person whose height is 150 cm and who weighs 80 kg.

\text{Body surface area}( m^2)=\sqrt{\frac{\text{Height (cm)}\times \text{Weight (kg)}}{3600}}

Substitute the values:

\text{Body surface area}( m^2)=\sqrt{\frac{150\text{ cm}\times 80\text{(kg)}}{3600}}

\text{Body surface area}( m^2)=\sqrt{\frac{12,000}{3600}}

\text{Body surface area}( m^2)=\sqrt{3.3333333}

\text{Body surface area}( m^2)=1.825741

\text{Body surface area}( m^2)=1.83

Therefore, the body surface area of the person would be 1.83 square meters.

7 0
3 years ago
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