Answer:
120 different outcomes
Step-by-step explanation:
Selecting a year in the last decade ; this means selecting a year from from the last decade :
Number of years jn decade = 10
Selecting a month of the year : number of months in a year = 12
Hence, we have :
10 * 12 = 120 different outcomes
Answer:
D.
Step-by-step explanation:
in order to choose the correct answer, it is enough to substitute the given coordinates [(-3;-1) and (-6;8)] into the equations:
A. -1-8=3(-3+6); ⇔ -9≠9; wrong
B. -1+8=-3(-3+6); ⇔ 7≠-9; wrong
C. -1+8=3(-3-6); ⇔ 7≠-27; wrong
D. (-3;-1): -1-8=-3(-3+6); ⇔ -9=-9
(-6;8): 8-8=-3(-6+6); ⇔ 0=0 - correct.
Note, the suggested way is not the only one.
PS. the given points are (-3;-1) and (<u>-6;</u>8).
Answer:
Yes, the right angle is angle B
Step-by-step explanation:
we have
Plot the vertices
see the attached figure
we know that
If triangle ABC is a right triangle
then
Applying the Pythagoras Theorem
the formula to calculate the distance between two points is equal to
<em>Find the distance AB</em>
substitute in the formula
<em>Find the distance BC</em>
substitute in the formula
<em>Find the distance AC</em>
substitute in the formula
Verify the Pythagoras theorem
---> is true
therefore
Is a right triangle and the right angle is B
Answer:
M=(6,5)
Step-by-step explanation:
M stands for midpoint. You use the midpoint formula. The formula is (x1+x2/2) and (y1+y2/2). 3 plus 9 is 12 for x1 and if you divide that by two because of the equation, you get 6. You do the same thing for the y. Hope this helps! :)
Answer:
B and D are both true statements
Step-by-step explanation:
A is false. The ratio of green pieces to blue pieces is 7:5 is false as the statement tells us total is 12 when green is 5. This means total is 12.
In the A. statement, it describes green pieces to blue pieces, where blue pieces are more than 5, its order in A states 5 last, meaning blue=5 and this is not true.
B is true. This speaks of the total pieces to blue pieces is 12:7 this is true as it speaks of total first = 12. where blue is also =7. This is true.
C is false. There must be 7 more blue pieces than green pieces this is false as there are two (2)more blue pieces than green, not 7.
D is true. The ratio of total pieces to green pieces is 12:5 is also true as there are 12 total and 5 green and it states this in same order within the statement showing the reverse of the statement in the question where green still is 5 and total is 12.