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never [62]
3 years ago
15

The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than

the average weight of one okapi. On average, how much does an okapi weigh, and how much does a llama weigh?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
Okapi=o llama=l

o+l=450

3l=190+o

I cant remember how to work it out but if you have a graphics calculator you would open a calculator page, press Menu:3:1 (solve function) and type in those equations. It would look like this:

solve(o+l=450 and 3l=190o,o)

l=160    o=290

llamas are 160kg and okapis are 290kg. Hope that helped a bit :)
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In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week o
Alborosie

Answer:

2880

Step-by-step explanation:

The total number of people affected by flu during  the 2nd and 3rd week of January,  1200 + 1680  = 2880        

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3 years ago
The sum of two numbers is 85. twice one number plus four times the other is 218. find the numbers
Nina [5.8K]
X + y = 85
2x + 4y = 218
x = 85 - y 
<span>2(85 - y) + 4y = 218 </span>
<span>170 - 2y + 4y = 218 </span>
<span>170 + 2y = 218 </span>
<span>2y = 48 </span>
<span>y = 24 </span>
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6 0
3 years ago
Suppose the temperature outside is dropping 3° each hour. How much will the temperature change in eight hours
olga nikolaevna [1]
3*8= 24 so 24 degrees
4 0
3 years ago
A ^2+b^2=c^2 solve for c
musickatia [10]
Take the root of both sides, and then solve. 
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3 0
3 years ago
Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.
Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)

Plugging the values.

⇒ cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)

We know that the values :

sin(45) =cos(45) = \frac{1}{\sqrt{2} }

sin(60)=\frac{\sqrt{3} }{2}  and  cos(60)=\frac{1}{2}

So,

⇒ cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})

⇒ cos(45-60)=(\frac{1}{2\sqrt{2} }  + \frac{\sqrt{3} }{2\sqrt{2} })

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }  ...<em>rationalizing </em>

⇒ cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}

⇒ cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}       ...<em>taking 2 as a common factor</em>

<em>⇒ </em>cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}

To find the exact values we have to put the values of sq-rt .

As<em>, </em>\sqrt{2}=1.41     and   \sqrt{6} =2.44

Then

<em>⇒ </em>cos(45-60)=\frac{( 1.41+2.44)}{4}<em />

<em>⇒ </em>cos(45-60)=\frac{( 3.85)}{4}<em />

⇒ cos(45-60)=0.96

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0
3 years ago
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