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strojnjashka [21]
3 years ago
14

I need help uwuwuwuwuwuauauuwuwuauaua

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

The answer is B

35+50+35+20=140

175-140= 35

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Differentiate t²sin(2t)​
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Answer:

i am not sure what the answer is cause i have never had a question like this

Step-by-step explanation:

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If vector u has its initial point at (-7, 3) and its terminal point at (5, -6), u =
attashe74 [19]

First of all, let <span>θθ</span> be some angle in <span><span>(0,π)</span><span>(0,π)</span></span>. Then

<span><span><span>θθ</span> is acute <span>⟺⟺</span> <span><span>θ<<span>π2</span></span><span>θ<<span>π2</span></span></span> <span>⟺⟺</span> <span><span>cosθ>0</span><span>cos⁡θ>0</span></span>.</span><span><span>θθ</span> is right <span>⟺⟺</span> <span><span>θ=<span>π2</span></span><span>θ=<span>π2</span></span></span> <span>⟺⟺</span> <span><span>cosθ=0</span><span>cos⁡θ=0</span></span>.</span><span><span>θθ</span> is obtuse <span>⟺⟺</span> <span><span>θ><span>π2</span></span><span>θ><span>π2</span></span></span> <span>⟺⟺</span> <span><span>cosθ<0</span><span>cos⁡θ<0</span></span>.</span></span>

Now, to see if (say) angle <span>AA</span> of the triangle <span><span>ABC</span><span>ABC</span></span> is acute/right/obtuse, we need to check whether <span><span>cos∠BAC</span><span>cos⁡∠BAC</span></span> is positive/zero/negative. But what is <span><span>cos∠BAC</span><span>cos⁡∠BAC</span></span>? It is the angle made by the vectors <span><span><span>AB</span><span>−→−</span></span><span><span>AB</span>→</span></span> and <span><span><span>AC</span><span>−→−</span></span><span><span>AC</span>→</span></span>. (When you are computing the angle at a particular vertex <span>vv</span>, you should make sure that both the vectors corresponding to the two adjacent sides have that vertex <span>vv</span> as the initial point.) We will first compute these two vectors:

<span><span><span><span>AB</span><span>−→−</span></span>=(0,0,0)−(1,2,0)=(−1,−2,0)</span><span><span><span>AB</span>→</span>=(0,0,0)−(1,2,0)=(−1,−2,0)</span></span><span><span><span><span>AC</span><span>−→−</span></span>=(−2,1,0)−(1,2,0)=(−3,−1,0)</span><span><span><span>AC</span>→</span>=(−2,1,0)−(1,2,0)=(−3,−1,0)</span></span>Therefore, the angle between these vectors is given by:<span><span><span>cos∠BAC=<span><span><span><span>AB</span><span>−→−</span></span>⋅<span><span>AC</span><span>−→−</span></span></span><span>|<span><span>AB</span><span>−→−</span></span>||<span><span>AC</span><span>−→−</span></span>|</span></span>=…</span>(1)</span><span>(1)<span>cos⁡∠BAC=<span><span><span><span>AB</span>→</span>⋅<span><span>AC</span>→</span></span><span>|<span><span>AB</span>→</span>||<span><span>AC</span>→</span>|</span></span>=…</span></span></span>Can you take it from here? From the sign of this value, you should be able to decide if angle <span>AA</span> is acute/right/obtuse.

Now, do the same procedure for the remaining two angles <span>BB</span> and <span>CC</span> as well. That should help you solve the problem.

A shortcut. Since you are not interested in the actual values of the angles, but you need only whether they are acute, obtuse or right, it is enough to compute only the sign of the numerator (the dot product between the vectors) in formula (1). The denominator is always positive.

6 0
3 years ago
Which equation shows y = -1/2x + 4 is in standard form?
Scrat [10]

For this case we have that by definition, the standard way to write the equation of a line, is given by:

ax + by = c

Where a, b and c are integers.

Given y =-\frac{1}{2}x+ 4

We can write it in the standard way:

\frac{1}{2}x+ y = 4

a=\frac{1}{2} and by the previous definition, the numbers a, b and c must be integers.

Thus, we multiply the equation by 2, on both sides so as not to alter the equality.

2*\frac{1}{2}x+ 2 * y= 2 * 4

x + 2y = 8

Thus, the equation of y =-\frac{1}{2}x+ 4 , in its standard form is given by:

x + 2y = 8

Answer:

Option B


4 0
3 years ago
Read 2 more answers
Justin fills his car with 40 litres of petrol. After travelling 35 miles it's down to 35 litres. Let be the number of litres in
mixas84 [53]

Answer:

a) 1/7 liters of petrol is used for each mile

Step-by-step explanation:

Justin fills his car with 40 litres of petrol. After travelling 35 miles it's down to 35 litres.

From the above statement:.

The difference is :

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This is calculated as:

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4 0
3 years ago
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KIM [24]
The correct answer is C
5 0
3 years ago
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