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sergejj [24]
3 years ago
12

Can someone help me?

Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

Step-by-step explanation:

If arccos (√3 / 2) = β, then cos β = adjacent side / hypotenuse = √3 / 2.  This tells us immediately that the adjacent side length is √3 and the hypotenuse is 2.  Via the Pythagorean Theorem, we know that the third side is 1.  

This information rules out the 1st and 3rd answer choices.

Because cos 30° = adj / hyp = √3 / 2, we can conclude that the correct answer is the 4th one:  30°, 60°, 90°

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A refrigerator cools a bottle of water 2 degrees per minute. how many minutes will it take to lower its temperature from 90 degr
HACTEHA [7]
<span>It will take 20 minutes. The fridge needs to cool down by 90-50=40degrees. The fridge cools at 2 degrees per minute, i.e. 40/2=20 minutes total.</span>
8 0
3 years ago
Which option lists am expression that is not equivalent to 4^2/3
Vesnalui [34]

remember that

x^{\frac{a}{b}}=\sqrt[b]{x^a}

also x^{-a}=\frac{1}{x^a}

and (a^b)^c=a^{bc}


so

4^{\frac{2}{3}}


first one, that one is clearly not equal since 0.25≠4

2nd one, 0.25=1/4, so 0.25^{\frac{-2}{3}}=(\frac{1}{4})^{\frac{-2}{3}=  \frac{1}{(\frac{1}{4})^{\frac{2}{3}}}=4^{\frac{2}{3}}, which matches

3rd one, \sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}, which matches

4th one (\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}} which matches


answer is 0.25^{\frac{2}{3}}

4 0
3 years ago
What is the mixed number and improper fraction for 4.8
Gelneren [198K]
Mixed number=4 8/10=4 4/5

improper fraction=48/10=24/5
3 0
3 years ago
Does this mean they are calling me on insta?
patriot [66]

Answer:

yessss this mean they are calling you

have a great day

<h2> BRINDLIST plz </h2>

<u>Mrslenbox</u>

8 0
3 years ago
The student council is having a dinner fund-raiser. The cost to rent the banquet hall for an evening is $185. The cost per plate
dexar [7]

Given

cost to rent the banquet hall for an evening is $185. The cost per plate of food is $3.50. If the tickets to the dinner banquet are $17.50 per person

find out  people must attend in order for the school to earn a profit.

To proof

banquet hall cost =$185

cost per plate of food =$3.50

tickets to the dinner banquet =$17.50

let the number  of people attend the  dinner = x

the equation becomes

17.50x - (3.5x + 185) ≥ 0

now solving the above equation

17.50x - 3.5 x ≥ 185

14x ≥ 185

x ≥ 13.21

x ≥ 14 (approx )

To earn profit 14 people must attend the dinner.

Hence proved





5 0
4 years ago
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