Answer:
a) AB = 17 m
b) AC = 20.8 m
Step-by-step explanation:
Pythagorean theorem
a^2 + b^2 = c^2
a)
AB^2 = (26-11)^2 + 8^2
AB^2 = 15^2 + 8^2
AB^2 = 225 + 64
AB^2 = 289
AB = 17 m
b)
AC^2 = AB^2 + BC^2
AC^2 = 17^2 + 12^2
AC^2 =289 + 144
AC^2 = 433
AC = 20.8 m
Answer:
x=−4/5 or x=−3
Step-by-step explanation:
Step 1: Factor left side of equation.
(5x+4)(x+3)=0
Step 2: Set factors equal to 0.
5x+4=0 or x+3=0
x=−4/5 or x=−3
Answer:
Presentation on theme: "Geometry Spheres CONFIDENTIAL."— Presentation transcript:
Step-by-step explanation:
Search this up and watch the video it may explain it to you better. I hope this helps!
33/7 is an improper fraction.
To make it a mixed fraction, do this:-
How many times does 7 go into 33?
About 4 times.
4*7 = 28
4 is our whole number.
Now, subtract to get the numerator.
33-28 = 5
4 5/7
Final answer: 4 5/7
Answer:
35,829,630 melodies
Step-by-step explanation:
There are 12 half-steps in an octave and therefore 
arrangements of 7 notes if there were no stipulations.
Using complimentary counting, subtract the inadmissible arrangements from to get the number of admissible arrangements.
can be any note, giving us 12 options. Whatever note we choose, 
must match it, yielding 
. For the remaining two white key notes, 
and 
, we have 11 options for each (they can be anything but the note we chose for the black keys).
There are three possible arrangements of white key groups and black key groups that are inadmissible:
White key notes can be different, so a distinct arrangement of them will be considered a distinct melody. With 11 notes to choose from per white key, the number of ways to inadmissibly arrange the white keys is 
.
Therefore, the number of admissible arrangements is:
