princeevee:

i need some answers checked

1 month ago
princeevee:
1 month ago

princeevee:

@Vocaloid my choice was the top right one

1 month 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)

1 month ago
princeevee:

so it was the top left one?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

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

1 month ago
Vocaloid:

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

1 month ago
princeevee:
1 month ago

princeevee:

i got A on this one

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

Perimeter = 4* side length Solve for side length

1 month ago
princeevee:

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

1 month ago
Vocaloid:

The perimeter is not 4 Please re-read the original problem

1 month ago
princeevee:

oh, right...

1 month ago
Vocaloid:

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

1 month ago
princeevee:

10/4=2.5

1 month ago
Vocaloid:

Good now multiply that by sqrt(2)

1 month ago
princeevee:

6.25

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

*multiply by 2.5 not 6

1 month ago
princeevee:

24?

1 month ago
princeevee:

hang on, i might've did it wrong again

1 month ago
Vocaloid:

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

1 month ago
princeevee:

so 4, x 2.5 = 10

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

Try this 2^(0.5) * 2.5

1 month ago
princeevee:

3.53

1 month ago
Vocaloid:

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

1 month ago
princeevee:
1 month ago

princeevee:

what i got on this, was 16.

1 month 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

1 month ago
princeevee:

so D?

1 month ago
Vocaloid:

Good

1 month ago
princeevee:
1 month ago

princeevee:

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

1 month ago
Vocaloid:

Good

1 month ago
princeevee:
1 month ago

princeevee:

i chose C for this one

1 month ago
Vocaloid:

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

1 month ago
princeevee:

8?

1 month ago
princeevee:

or at least, 16?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

5.6

1 month ago
princeevee:

so b

1 month ago
Vocaloid:

Good

1 month ago
princeevee:
1 month ago

princeevee:

false

1 month ago
Vocaloid:

Good

1 month ago
princeevee:
1 month ago

princeevee:

A?

1 month 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) =?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

9.2?

1 month ago
Vocaloid:

Yup good

1 month ago
princeevee:
1 month ago

princeevee:

the top right one?

1 month ago
Vocaloid:

Good

1 month ago
princeevee:
1 month ago

princeevee:

XZ

1 month 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?

1 month ago
princeevee:

XY

1 month ago
Vocaloid:

Good so xy is your sol 'n

1 month ago
princeevee:
1 month ago

princeevee:

my choice is C

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

* M and F I mean

1 month ago
princeevee:
1 month 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

1 month ago
princeevee:

1300

1 month ago
princeevee:

36.05

1 month 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

1 month ago
princeevee:

500

1 month ago
Vocaloid:

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

1 month ago
princeevee:

22.3

1 month ago
Vocaloid:

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

1 month ago
princeevee:

so thats my answer?

1 month ago
Vocaloid:

yes

1 month ago
princeevee:
1 month ago

princeevee:

this is true

1 month ago
Vocaloid:

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

1 month ago
princeevee:
1 month ago

princeevee:

the top right one

1 month 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

1 month ago
princeevee:

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

1 month ago
Vocaloid:

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

1 month ago
princeevee:

116

1 month ago
Vocaloid:

good and what's the square root of that?

1 month ago
princeevee:

i disconnected, sorry

1 month ago
princeevee:

10.7

1 month ago
Vocaloid:

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

1 month ago
princeevee:
1 month ago

princeevee:

24?

1 month ago
Vocaloid:

good

1 month ago
princeevee:
1 month ago

Vocaloid:

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

1 month ago
princeevee:

3.5?

1 month ago
princeevee:

12.25 i meant

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

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

1 month ago
princeevee:

2.47

1 month ago
Vocaloid:

good but they want the nearest tenth so 2.5

1 month ago
princeevee:
1 month ago

princeevee:

7?

1 month 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

1 month 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.

1 month ago
princeevee:

5

1 month ago
Vocaloid:

good so 5 = your sol'n

1 month ago
princeevee:
1 month ago

princeevee:

3?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

-9 and -5

1 month ago
Vocaloid:

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

1 month ago
princeevee:

-4 apart?

1 month ago
Vocaloid:

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

1 month ago
princeevee:
1 month ago

princeevee:

C?

1 month 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

1 month 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)

1 month ago
princeevee:

49?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

5134

1 month ago
Vocaloid:

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

1 month ago
princeevee:

71.6

1 month ago
Vocaloid:

wait a minute how did you get 5134

1 month ago
Vocaloid:

what's 65^2 - 33^2?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

3136

1 month ago
princeevee:

56

1 month ago
Vocaloid:

good so 56 = your sol'n

1 month ago
princeevee:
1 month ago

princeevee:

17?

1 month ago
Vocaloid:

good

1 month ago
princeevee:
1 month ago

princeevee:

top right?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

uh...

1 month ago
princeevee:

dang, i just forgot trig...

1 month ago
Vocaloid:

|dw:1529378231682:dw|

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

|dw:1529379233861:dw|

1 month 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.

1 month ago
princeevee:

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

1 month ago
Vocaloid:

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

1 month ago
princeevee:

the dotted one is adjacent, right?

1 month ago
Vocaloid:

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

1 month ago
princeevee:

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

1 month ago
princeevee:

i'll keep trying though

1 month 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

1 month ago
Vocaloid:
1 month ago

princeevee:

i am so sorry, i passed out...

1 month ago
princeevee:

@Vocaloid let us continue where we left off

1 month 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

1 month ago
princeevee:

162

1 month ago
Vocaloid:

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

1 month ago
princeevee:

still 162

1 month ago
Vocaloid:

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

1 month ago
princeevee:

15.25?

1 month ago
Vocaloid:

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

1 month ago
princeevee:
1 month ago

princeevee:

@Vocaloid

1 month ago
Vocaloid:

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

1 month ago
Vocaloid:

|dw:1529431215885:dw|

1 month 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

1 month ago
Vocaloid:

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

1 month ago
princeevee:

yeah, thinking

1 month ago
princeevee:

i somehow got the bottom left one

1 month ago
Vocaloid:

that's the adjacent over the opposite tan is opposite over adjacent

1 month ago
Vocaloid:

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

1 month 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 \(\color{#0cbb34}{\text{End of Quote}}\)

1 month ago
Vocaloid:

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

1 month ago
princeevee:

sorry , see you later

1 month ago