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2 years ago

How can you move just one number to a different

Mathematics

1 answer:

alexandr1967 [171]2 years ago

6 0

Answer:

Remove 9 from triangle B to A

Step-by-step explanation:

Given

Three Triangles

A: 1,2,3

B: 7,8,9

C: 4,5,6

Required

Make their sum equal

First, we need to calculate the sum in each triangles;

$A = 1 + 2 + 3$

$A = 6$

$B = 7 + 8 + 9$

$B = 24$

$C = 4 + 5 + 6$

$C = 15$

Remove 9 from triangle B to A

$A = 6 + 9$

$A = 15$

$B = 24 - 9$

$B = 15$

At this point, we have:

$A = 15$ $B = 15$ $C = 15$

<em>Hence, the solution is to remove 9 from B to A</em>

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A club has 800 members. 100 of the members were randomly picked and were asked if the dues should be raised. 6 of the members sa

frez [133]

Answer:

About 48 members would be expected to say that dues be raised

Step-by-step explanation:

Here, we shall be using a case of a representative sampling to determine the actual.

Out of the 100 selected members, 6 said the dues should be raised;

This represents a percentage of 6/100 = 6%

So out of the 800, the expected number of members that would ask for a dues raising will be;

6/100 * 800 = 48

5 0

3 years ago

Can someone PLEASE help me with Trigonometry???

Svetach [21]

$\bf sin^2(2\theta)-7sin(2\theta)-1=0\\\\
-------------------------------\\\\
sin(2\theta)=\cfrac{7\pm\sqrt{49-4(1)(-1)}}{2(1)}\implies sin(2\theta)=\cfrac{7\pm\sqrt{49+4}}{2}
\\\\\\
sin(2\theta)=\cfrac{7\pm\sqrt{53}}{2}\implies 2\theta=sin^{-1}\left( \frac{7\pm\sqrt{53}}{2} \right)
\\\\\\
\theta=\cfrac{sin^{-1}\left( \frac{7\pm\sqrt{53}}{2} \right)}{2}$

but anyway, the numerator will give the angles, and θ is just half of each

$\bf \theta=\cfrac{sin^{-1}\left( \frac{7\pm\sqrt{53}}{2} \right)}{2}\\\\
-------------------------------\\\\
sin^{-1}\left( \frac{7+\sqrt{53}}{2} \right)\implies sin^{-1}(7.14)\impliedby \textit{greater than 1, no good}
\\\\\\
sin^{-1}\left( \frac{7-\sqrt{53}}{2} \right)\implies sin^{-1}(-0.14) \approx -8.05^o
\\\\\\
\theta=\cfrac{-8.05}{2}\implies \theta=-4.025$

ok... that's a negative tiny angle, is in the 4th quadrant, if we stick to the range given, from 0 to 360, so we have to use the positive version of it, 360-4.025

so the angle is 355.975°

now, the 3rd quadrant has another angle whose sine is negative, so... if we move from the 180° line down by 4.025, we end up at 184.025°

and those are the only two angles, because, on the 2nd and 1st quadrants, the sine is positive, so it wouldn't have an angle there

7 0

3 years ago

What angle do the minute and hour hands of a clock make at 8:00

svlad2 [7]

The angle that the minute and hour hands make when they are at 8:00 is obtuse

6 0

3 years ago

Matt swam 225 yards in 5 minutes. If Matt swam at a constant rate, how fast did he swim in yards per minute?

inna [77]

5/5 = 1
225/5 = 45

45 yards per minute

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2 years ago