Answer:
The number of Pumpkin can used = 48 cans
The number of Green Beans can used = 16 cans
Step-by-step explanation:
The ratio of Pumpkin to Green Beans = 3 : 1
So, for every 3 can of Pumpkin, 1 can of green beans is used.
Now, the total number of John wants to use = 64
Let us assume the common factor in the ratio is m.
⇒ The number of Pumpkin can used = 3 m
The number of Green Beans can used = 1 m = m
So, the Total cans used = Number of (Pumpkin + Green Beans) can
⇒ 3 m + m = 64
or, 4 m = 64
⇒ m = 64/ 4 = 16
Hence, The number of Pumpkin can used = 3 m = 3 x 16 = 48 cans
The number of Green Beans can used = m = 16 cans
I'll talk you through it so you can see why it's true, and then
you can set up the 2-column proof on your own:
Look at the two pointy triangles, hanging down like moth-wings
on each side of 'OC'.
-- Their long sides are equal, OA = OB, because both of those lines
are radii of the big circle.
-- Their short sides are equal, OC = OC, because they're both the same line.
-- The angle between their long side and short side ... the two angles up at 'O',
are equal, because OC is the bisector of the whole angle there.
-- So now you have what I think you call 'SAS' ... two sides and the included angle of one triangle equal to two sides and the included angle of another triangle.
(When I was in high school geometry, this was not called 'SAS' ... the alphabet
did not extend as far as 'S' yet, and we had to call this congruence theorem
"broken arrow".)
These triangles are not congruent the way they are now, because one is
the mirror image of the other one. But if you folded the paper along 'OC',
or if you cut one triangle out and turn it over, it would exactly lie on top of
the other one, and they would be congruent.
So their angles at 'A' and at 'B' are also equal ... those are the angles that
you need to prove equal.
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
So x = 29.0521°. Since x < 30°, it is a safe landing.
Answer:
Yes it does.
Step-by-step explanation:
Answer:
30 students
Step-by-step explanation:
all students = girls+boys
all students= 15+35=50
40% of 50= 20
50-20=30
30 students didn't take the bus to school
