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gladu [14]
4 years ago
13

Can someone do 11??? Please help I don’t want to fail my class

Mathematics
1 answer:
jolli1 [7]4 years ago
4 0
<h3>Answer: choice A) </h3><h3>tan(Y) = 6/7 and tan(Z) = 7/6</h3>

Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides

tan(angle) = opposite/adjacent

For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,

tan(Y) = XZ/XY = 6/7

For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6

tan(Z) = XY/XZ = 7/6

We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.

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hram777 [196]

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

5 0
3 years ago
a triceatops has to children. one is 3 times older than the other. Together, their age is 50 months how old are they?
Charra [1.4K]
To solve this problem, create two equations with x and y. The pieces of information that we know are that the first child is 3 times older than the second child. Therefore if we assign child #1 the variable of x and child #2 the variable of y, we could get the following equation: 

3x = y 

Now, we also know that together their ages equal 50 months. Therefore:

x + y = 50 (months) 

So, using these two equations you can use either substitution or elimination to find the values of x and y. You would first need to rearrange the first equation to 3x - y = 0 (just moving the y to the other side). 

Then, you could add the equations together as followed: 

3x - y = 0 
x  + y = 50 
___________
4x = 50 
x   = 12.5

And then fill that value in to one of the equations to find y.

3x = y 
3(12.5) = y 
y = 37.5

So, one child is 12.5 months old and the other is 37.5 months old!
5 0
3 years ago
A. Sin(0)=0.6<br> B.Cos(0)=0.75<br> C.Tan(0)=1.3<br> D. Cos(0)=0.8
LuckyWell [14K]

Answer:

its e

Step-by-step explanation:

7 0
3 years ago
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