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Pie
3 years ago
6

How to find cos(a) if tan (a) = 0.5 and a is in the III quadrant

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

hey

Step-by-step explanation:

tana=5/10

tan a=1/2

I\

1 I \ x

I \

I__a\

2

Let unknown side be x

angle be a

using pythagorus theorem,1²+2²=x²

x²=5

x= √5,-√5

cos a= 2/√5

but a is in quadrant III ,Cos is negative

<h2>cos a= -2/√5</h2>
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suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the
Aleks04 [339]

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

y = - \frac{1.1}{1000} x + 59.7

Thus, evaluating the function for x = 11,000 ft. Height we have:

y = - \frac{1.1}{1000} (11000) +59.7

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Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

4 0
3 years ago
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An equation is given below.
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Answer:

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6 0
3 years ago
Resuelve las ecuaciones<br> 3(2x-1)+5(x-3)=4x+7<br> 5-x-(2x+3)= 3+8x
Ivan
Let's solve your equation step-by-step.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Step 1: Simplify both sides of the equation.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Simplify:<span><span><span>11x</span>−18</span>=<span><span>4x</span>+7</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>11x</span>−18</span>−<span>4x</span></span>=<span><span><span>4x</span>+7</span>−<span>4x</span></span></span><span><span><span>7x</span>−18</span>=7</span>Step 3: Add 18 to both sides.<span><span><span><span>7x</span>−18</span>+18</span>=<span>7+18</span></span><span><span>7x</span>=25</span>Step 4: Divide both sides by 7.<span><span><span>7x</span>7</span>=<span>257</span></span><span>x=<span>257</span></span>Answer:<span>x=<span><span>257
</span>


</span></span>Let's solve your equation step-by-step.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Simplify:<span><span><span>−<span>3x</span></span>+2</span>=<span><span>8x</span>+3</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>−<span>3x</span></span>+2</span>−<span>8x</span></span>=<span><span><span>8x</span>+3</span>−<span>8x</span></span></span><span><span><span>−<span>11x</span></span>+2</span>=3</span>Step 3: Subtract 2 from both sides.<span><span><span><span>−<span>11x</span></span>+2</span>−2</span>=<span>3−2</span></span><span><span>−<span>11x</span></span>=1</span>Step 4: Divide both sides by -11.<span><span><span>−<span>11x</span></span><span>−11</span></span>=<span>1<span>−11</span></span></span><span>x=<span><span>−1</span>11</span></span>Answer:<span>x=<span><span>−1</span>11</span></span>
<span>Espero que esto ayude</span>
4 0
3 years ago
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There are 5 blue marbles, 11 green marbles and
Margarita [4]

Step-by-step explanation:

step by step by solutions are given

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4 0
3 years ago
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Simplify the sum. (7u3 + 8u2 + 7) + (8u3 – 3u + 7)
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= (7u³ + 8u² + 7) + (8u³ - 3u + 7)
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In short, Your Answer would be: 15u³ + 8u² - 3u + 14

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3 years ago
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