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3 years ago

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2. Which type of variation is represented by the following equation?

1 answer:

natulia [17]3 years ago

7 0

indirect variation

Verification

$\\ \rm\Rrightarrow s\propto \dfrac{1}{y}$

$\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}$

$\\ \rm\Rrightarrow s_1t_1=s_2t_2$

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I need help on this question

Vesnalui [34]

Answer:

105 $cm^{2}$

Step-by-step explanation:

Rectangle 2 is 3 times rectangle 1. We know this because one side of rectangle 2 is 3 times the same side of rectangle 1.
Area of rectangle 1 × 3 = area of rectangle 2: 35 × 3 = 105 $cm^{2}$

I hope this helps!

6 0

3 years ago

Read 2 more answers

Circular tracts of land with diameters 900 meters, 700 meters and 600 meters are tangent to each other externally. There are hou

Rudik [331]

Answer:

$\alpha=69.28^o$

$\beta=61.26^o$

$\gamma=49.46^o$

<em /> $A=227980.26\ m^2$ <em />

Step-by-step explanation:

<u>Triangle Solving</u>

If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.

The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are

$x=450+350=800$

$y=450+300=750$

$z=350+300=650$

The internal angles can be computed by using the cosine's law

$x^2=y^2+z^2-2yzcos\alpha$

$y^2=x^2+z^2-2xzcos\beta$

$z^2=x^2+y^2-2xycos\gamma$

Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:

$\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}$

$\displaystyle cos\alpha=\frac{750^2+650^2-800^2}{2\cdot 750\cdot 650}$

$cos\alpha=0.3538$

$\alpha=69.28^o$

Similarly

$\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}$

$\displaystyle cos\beta=\frac{800^2+650^2-750^2}{2\cdot 800\cdot 650}$

$cos\beta=0.4808$

$\beta=61.26^o$

The other angle is computed now

$\displaystyle cos\gamma=\frac{x^2+y^2-z^2}{2xy}$

$\displaystyle cos\gamma=\frac{800^2+750^2-650^2}{2\cdot 800\cdot 750}$

$cos\gamma=0.65$

$\gamma=49.46^o$

The area can be found by

$\displaystyle A=\frac{1}{2}x.y.sin\gamma$

$\displaystyle A=\frac{1}{2}\cdot 800\cdot 750\cdot sin49.46^o$

$A=227980.26\ m^2$

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3 years ago

57% of men consider themselves professional baseball fans. you randomly select 10 men and ask each if he considers himself a pr

Novay_Z [31]

Answer: A

Step-by-step explanation:

Use this equation:

57/100 = X/10.

Cross multiply the two fractions (57x10)

=570

Now divide 570 by the only number left, 100.

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To solve this question, you have to estimate a little bit and find the<em> closest</em> answer.

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A driveway is 40 yards long about how many meters long is it

aliya0001 [1]

36.576 meters long is how long it would be

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Help me pwees no links<br><br> what is 159 rounded to the nearest tenth minus 10

r-ruslan [8.4K]

Answer:

150

Step-by-step explanation:

159 rounded to the nearest tenth is 160

160-10=150

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3 years ago