Answer:
A) 17 m B) 20.8 m
Step-by-step explanation:
I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11
26-11 = 15
I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)
AB is the hypotenuse
We can use the pythagorean theorem to find length AB (a^2 + b^2 = c^2)
a and b is the legs which is 8 and 15
8^2 + 15^2 = AB^2
64 + 225 = AB^2
289 = AB^2
√289 = AB (to undo a square, you use square roots)
√289 = 17
AB = 17 m
Now we need to find the hypotenuse of AC
the same thing, we did for problem A, use the pythagorean theorem
17^2 + 12^2 = AC^2
289 + 144 = AC^2
433 = AC^2
√433 = AC
√433 is <em>about </em>20.808...
round to the tenth as stated in the directions
AC = 20.8 m
Answer:
The equation has no answer :(
Step-by-step explanation:
As written (and I'm not sure you wrote it properly) the equation has no answer. Check it out.
https://simplisico.com/share/q/fjr1PEtS7d0srDFeqPU5RQaS
M is Matt's sticker count, D is David's:
The equations:
The average sticker count has to be 120, so:
(M + D) / 2 = 120
Matt has twice as many as David:
M = 2D
Substitute for M in the average, so:
(2D + D) / 2 = 120
Solving you get:
3D = 240
D = 80 and 120 - 80 is 40, so Matt has to give him 40 stickers.
Hope this helps :)
2.61 x 10^11 would be the correct answer
Side a is 13 when using the pythagorean theorem
a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
c = 13
