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olganol [36]
3 years ago
10

Distance between two points ( phythagorean thereorm)

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
What are the points?
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Hey ok i need help on this question ive been stuck on it for a couple minutes haha
Len [333]

Answer:

The side s has a length of 4 and side q has a length of 4\sqrt{3} ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = \sqrt{3} × 8

∴ 2q = 8\sqrt{3}

→ Divide both sides by 2

∴ q = 4\sqrt{3}

∴ The length of q is 4\sqrt{3}

7 0
3 years ago
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of
mamaluj [8]

Answer:

It is an unusual result contradicting the national survey.

Step-by-step explanation:

National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean.  In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

4 0
3 years ago
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 18/fts . The ball's height h (in feet) afte
inna [77]
Hello! First insert 6 where the h is located. So we have an equation that looks like the following. 6 = 2 - 18t + 16t^2

Although you could leave the equation in its original form, I am going to switch it around.
6 = 2 - 18t + 16t^2
16t^2 - 18t + 2 = 6
Move the 6 to the other side and do the math
16t^2 - 18t + 2 - 6 = 6 - 6
16t^2 - 18t -4 = 0
Factor and after factoring your T will be as follows
t = \frac{9}{16} - \frac{\sqrt{145}}{16} = -0.1900
t = \frac{9}{16} + \frac{\sqrt{145}}{16} = 1.315

4 0
3 years ago
1/4 times 24 times 2/3
Strike441 [17]
24(1/4)= 6

6(2/3)= 12/3= 4

The answer is 4. Hope this helps!
6 0
3 years ago
Convert the expression to radical form. 8(1/2)x(1/2)y(3/4) A) 8xy3 B) 2xy 2xy2 C) 2x2y3 D) 2 4x2y3
UNO [17]
Your answer should be B : ) 




I hope this helps!





please mark this as the brainliest 
7 0
3 years ago
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