princeevee:

3 months ago
princeevee:

3 months ago
princeevee:

@Vocaloid my choice was the top right one

3 months ago
Vocaloid:

The leg and hypotenuse cannot both be 6. Remember what we said earlier: the leg of a 45-45-90 triangle is the hypotenuse divided by sqrt(2)

3 months ago
princeevee:

so it was the top left one?

3 months ago
Vocaloid:

Hypotenuse ~divided~ by sqrt(2) not multiplied.

3 months ago
princeevee:

so the bottom right one, as 3 is a multiple of 6?

3 months ago
Vocaloid:

Yes 6/sqrt(2) = 3sqrt(2)

3 months ago
princeevee:

3 months ago
princeevee:

i got A on this one

3 months ago
Vocaloid:

Nope First calculate the side length of the square using perimeter = 4s Then multiply by sqrt(2) because hypotenuse = leg * sqrt(2)

3 months ago
Vocaloid:

If the perimeter of a square is 10, then side length =?

3 months ago
Vocaloid:

Perimeter = 4* side length Solve for side length

3 months ago
princeevee:

so if the perimeter is 4, wouldnt that make it 1.8?

3 months ago
Vocaloid:

3 months ago
princeevee:

oh, right...

3 months ago
Vocaloid:

A square has four equal sides right? So the side length = perimeter/4

3 months ago
princeevee:

10/4=2.5

3 months ago
Vocaloid:

Good now multiply that by sqrt(2)

3 months ago
princeevee:

6.25

3 months ago
Vocaloid:

Check your calculations again Remember order of operations. Take the square root of 2 first and then multiply by 6

3 months ago
Vocaloid:

*multiply by 2.5 not 6

3 months ago
princeevee:

24?

3 months ago
princeevee:

hang on, i might've did it wrong again

3 months ago
Vocaloid:

Press the square root button, then 2 Press the enter button Then multiply by 2.5

3 months ago
princeevee:

so 4, x 2.5 = 10

3 months ago
Vocaloid:

Square root is not the same thing as squaring So the square root of 2 is not 4

3 months ago
Vocaloid:

Try this 2^(0.5) * 2.5

3 months ago
princeevee:

3.53

3 months ago
Vocaloid:

Good 3.5 is the only solution close enough so that's our answer

3 months ago
princeevee:

3 months ago
princeevee:

what i got on this, was 16.

3 months ago
Vocaloid:

Hm not quite, 16 would be the value of x not y To get y you just need to multiply 16 by sqrt(3) since y is the side across the 60 degree side

3 months ago
princeevee:

so D?

3 months ago
Vocaloid:

Good

3 months ago
princeevee:

3 months ago
princeevee:

i chose the last one, as an isosceles is suppose to have two congruent sides, right?

3 months ago
Vocaloid:

Good

3 months ago
princeevee:

3 months ago
princeevee:

i chose C for this one

3 months ago
Vocaloid:

Hm not quite, 8 would be for a 30-60-90 triangle For a 45-45-90 triangle hypotenuse = leg * sqrt(2) =?

3 months ago
princeevee:

8?

3 months ago
princeevee:

or at least, 16?

3 months ago
Vocaloid:

The leg is 4 right? So sqrt(2) * 4 =?

3 months ago
princeevee:

5.6

3 months ago
princeevee:

so b

3 months ago
Vocaloid:

Good

3 months ago
princeevee:

3 months ago
princeevee:

false

3 months ago
Vocaloid:

Good

3 months ago
princeevee:

3 months ago
princeevee:

A?

3 months ago
Vocaloid:

The height of the wall is basically one leg of a right triangle so by definition it cannot be longer than the hypotenuse For a 45-45-90 triangle Leg = hypotenuse / sqrt(2) =?

3 months ago
Vocaloid:

I mean, even without doing any calculations there's only one choice less than the hypotenuse 13

3 months ago
princeevee:

9.2?

3 months ago
Vocaloid:

Yup good

3 months ago
princeevee:

3 months ago
princeevee:

the top right one?

3 months ago
Vocaloid:

Good

3 months ago
princeevee:

3 months ago
princeevee:

XZ

3 months ago
Vocaloid:

Hm that's a very good guess but XZ is the hypotenuse which is not considered a leg So between the other two sides which one do you think is longer?

3 months ago
princeevee:

XY

3 months ago
Vocaloid:

Good so xy is your sol 'n

3 months ago
princeevee:

3 months ago
princeevee:

my choice is C

3 months ago
Vocaloid:

Hm not quite You're just gonna count the number of horizontal spaces between M and N

3 months ago
Vocaloid:

in other words just subtract the x-coordinates of M and N

3 months ago
Vocaloid:

* M and F I mean

3 months ago
princeevee:

3 months ago
Vocaloid:

so you have a right triangle and you are given the hypotenuse and one leg so try plugging them into a^2 + b^2 = c^2 and solving for the missing leg

3 months ago
princeevee:

1300

3 months ago
princeevee:

36.05

3 months ago
Vocaloid:

hm, not quite, remember we have the hypotenuse (30) and one leg (20) so 30^2 = a^2 + 20^2 solve for a

3 months ago
princeevee:

500

3 months ago
Vocaloid:

almost, that's a^2 so you'd just have to take the square root of 500

3 months ago
princeevee:

22.3

3 months ago
Vocaloid:

almost, the square root of 500 is 22.360 something so it rounds up to 22.4 not 22.3

3 months ago
princeevee:

3 months ago
Vocaloid:

yes

3 months ago
princeevee:

3 months ago
princeevee:

this is true

3 months ago
Vocaloid:

hm, be careful, it's the sum of the squares of the lengths, not just the lengths so false

3 months ago
princeevee:

3 months ago
princeevee:

the top right one

3 months ago
Vocaloid:

hm, not quite, a good thing to remember is that the hypotenuse is the biggest side so it has to be bigger than 10 a^2 + b^2 = c^2 plug in your legs (10 and 4) and solve for c

3 months ago
princeevee:

so the bottom left one? that's what i got from it

3 months ago
Vocaloid:

remember to square the sides before adding them 10^2 + 4^2 = ?

3 months ago
princeevee:

116

3 months ago
Vocaloid:

good and what's the square root of that?

3 months ago
princeevee:

i disconnected, sorry

3 months ago
princeevee:

10.7

3 months ago
Vocaloid:

good so 10.77 is the closest and thus your sol'n

3 months ago
princeevee:

3 months ago
princeevee:

24?

3 months ago
Vocaloid:

good

3 months ago
princeevee:

3 months ago
Vocaloid:

when you have a diagonal through a square you get two 45-45-90 triangles as usual leg = hypotenuse/sqrt(2) = ?

3 months ago
princeevee:

3.5?

3 months ago
princeevee:

12.25 i meant

3 months ago
Vocaloid:

hm not quite what is 3.5 divided by sqrt(2)? remember order of operations

3 months ago
Vocaloid:

I don't really know how to explain this any better haha you just need to type 3.5/√(2)

3 months ago
princeevee:

2.47

3 months ago
Vocaloid:

good but they want the nearest tenth so 2.5

3 months ago
princeevee:

3 months ago
princeevee:

7?

3 months ago
Vocaloid:

hm, not 7. remember you cannot just add the side lengths together, you have to use the formula a^2 + b^2 = c^2 to solve for c

3 months ago
Vocaloid:

when you sketched the triangle you got side lengths 3 and 4 right? plug those in as your a and b values then solve for c.

3 months ago
princeevee:

5

3 months ago
Vocaloid:

good so 5 = your sol'n

3 months ago
princeevee:

3 months ago
princeevee:

3?

3 months ago
Vocaloid:

not quite what are the x-coordinates of B and Z?

3 months ago
princeevee:

-9 and -5

3 months ago
Vocaloid:

good so what's the difference of -9 and -5?

3 months ago
princeevee:

-4 apart?

3 months ago
Vocaloid:

good but since it's distance we take the absolute value of that to get 4 = your sol'n

3 months ago
princeevee:

3 months ago
princeevee:

C?

3 months ago
Vocaloid:

not quite you are given the hypotenuse and one leg a^2 + b^2 = c^2 solve for the missing leg remember that c is the hypotenuse and (a and b) are the legs

3 months ago
Vocaloid:

the hypotenuse is 65 and one of the legs is 33 right? therefore 33^2 + a^2 = 65^2 so solve for (a)

3 months ago
princeevee:

49?

3 months ago
Vocaloid:

33^2 + a^2 = 65^2 subtract 33^2 from both sides to get a^2 = 65^2 - 33^2 therefore a = ?

3 months ago
princeevee:

5134

3 months ago
Vocaloid:

that's a^2 so if a^2 = 5134 a = ?

3 months ago
princeevee:

71.6

3 months ago
Vocaloid:

wait a minute how did you get 5134

3 months ago
Vocaloid:

what's 65^2 - 33^2?

3 months ago
Vocaloid:

65^2 = ? 33^2 = ? calculate the two values separately then subtract them

3 months ago
princeevee:

3136

3 months ago
princeevee:

56

3 months ago
Vocaloid:

good so 56 = your sol'n

3 months ago
princeevee:

3 months ago
princeevee:

17?

3 months ago
Vocaloid:

good

3 months ago
princeevee:

3 months ago
princeevee:

top right?

3 months ago
Vocaloid:

hm not quite you have the opposite and adjacent, what trig ratio is this?

3 months ago
princeevee:

uh...

3 months ago
princeevee:

dang, i just forgot trig...

3 months ago
Vocaloid:

|dw:1529378231682:dw|

3 months ago
Vocaloid:

as I stated before you have the adjacent and opposite sides which trig ratio is appropriate? check the diagram

3 months ago
Vocaloid:

which trig ratio involves the opposite and adjacent sides? check the red text

3 months ago
Vocaloid:

|dw:1529379233861:dw|

3 months ago
Vocaloid:

so you'd use tangent, right? so you set up tan(theta) = opposite/adjacent plug in your values & solve for the missing side.

3 months ago
princeevee:

i got top left, for some reason, i dont think its right...

3 months ago
Vocaloid:

which side of the triangle is opposite to the angle? and which is the adjacent side?

3 months ago
princeevee:

the dotted one is adjacent, right?

3 months ago
Vocaloid:

the dotted side is the hypotenuse and thus is not included in this calculation.

3 months ago
princeevee:

sorry, i'm not working at full capacity...

3 months ago
princeevee:

i'll keep trying though

3 months ago
Vocaloid:

so there are only two other sides of the triangle are 21 and x notice how the x side is the farthest across from the angle, so that's our opposite side the 21 is next to the angle so that's our adjacent side therefore tan(36) = x/21 solve for x

3 months ago
Vocaloid:

3 months ago
princeevee:

i am so sorry, i passed out...

3 months ago
princeevee:

@Vocaloid let us continue where we left off

3 months ago
Vocaloid:

sure solving for x gives us tan(36) * 21 which you can then just plug into a calculator to get the sol'n

3 months ago
princeevee:

162

3 months ago
Vocaloid:

can you try putting in tan(36) then multiply the result by 21 ?

3 months ago
princeevee:

still 162

3 months ago
Vocaloid:

oh wait your calculator is probably in radians mode can you try changing it to degrees mode?

3 months ago
Vocaloid:

if you can't figure it out try typing in tan(36) * 21 into wolframalpha.com

3 months ago
princeevee:

15.25?

3 months ago
Vocaloid:

good it rounds up to 15.26 actually so 15.26 is your sol'n

3 months ago
princeevee:

3 months ago
princeevee:

@Vocaloid

3 months ago
Vocaloid:

from the perspective of angle A opposite/adjacent = ? remember that the hypotenuse is not included

3 months ago
Vocaloid:

|dw:1529431215885:dw|

3 months ago
Vocaloid:

^ try to apply this logic to your triangle to figure out what the adjacent and opposite sides are remember that the opposite side is the furthest away from the angle, and the adjacent side is closest w/o being the hypotenuse

3 months ago
Vocaloid:

still there? try to see which side is farthest away from angle A and which one is the closest to angle A

3 months ago
princeevee:

yeah, thinking

3 months ago
princeevee:

i somehow got the bottom left one

3 months ago
Vocaloid:

3 months ago
Vocaloid:

the side farthest away from A is the 5 side the side next to A is the 12 side so opposite/adjacent = ?

3 months ago
Vocaloid:

$$\color{#0cbb34}{\text{Originally Posted by}}$$ @Vocaloid ^ try to apply this logic to your triangle to figure out what the adjacent and opposite sides are remember that the opposite side is the furthest away from the angle, and the adjacent side is closest w/o being the hypotenuse $$\color{#0cbb34}{\text{End of Quote}}$$

3 months ago
Vocaloid:

therefore the opposite side is 5 and the adjacent side is 12 making tan = opposite/adjacent = 5/12 = your solution gtg

3 months ago
princeevee:

sorry , see you later

3 months ago