<u><em>y=1</em></u> this is because in rise/run the point rises 2 and moves to the right 1 and following this backwards leads to y=1
The sum of interior angles of a triangle is 180 degrees. If we’re trying to find the triangles last angle on the right, we will subtract 180-60-50 which equals 70. The angle missing on the right side is 70 degrees. There are opposite angles in this shape so the other angle beside a would also be 70 degrees. Now we only have a left and you do the same thing with the sum of interior angles with that triangle. So you do 180-70-65 and you’re left with 45. Therefore, a is 45 degrees.
1) D
(2/9) x=24
2) C
6x4=24
24=w
W=1/4(6)
3) A
67=9n
67=9n-2
9n-2=67
4) D
C+2x+x-3=56
4x=59
X=14.75
Katie payed 14.75
5) 91
Explanation: divide 18 by two and you get 9. When you add six and seven you carry on so those are your numbers. After you add you get your consecutive numbers, 91 and 92. 91 is the smallest so that is your answer
6)-18
Explanation: c+c+2=-34
2c+2-34
2x=-36
X=-18
18 is your answer
7) 17
Explanation: divide 22 is half. This is 11. 11+6=17. 17 is your answer
8)D
9)A
11-3 =x
However that isn’t an option so I would suggest to choose 3
10)D
4(17-n)=64
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
