Answer:
First find the inner angle:
[ given hypotenuse = 500 ft ]
using sine rule:
using pythagoras theorem:
Answer:
A, (1, 3+1/2)
Step-by-step explanation:
Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}
Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}
Now we simplify using PEMDAS. First step is parentheses.
m= {2/2, 7/2}
Simplifying again (and making 7/2 a mixed number), it becomes
m= {1, 3+1/2}
Hope this helps!
Answer:
24
Step-by-step explanation:
First find the area of the metal plate: 32*12=384
Find the are of each small square to see how much space it takes: 4*4=16
Divide the two to see how many can fit: 24
Tell me if you have any questions!
P(A|B)<span>P(A intersect B) = 0.2 = P( B intersect A)
</span>A) P(A intersect B) = <span>P(A|B)*P(B)
Replacing the known vallues:
0.2=</span><span>P(A|B)*0.5
Solving for </span><span>P(A|B):
0.2/0.5=</span><span>P(A|B)*0.5/0.5
0.4=</span><span>P(A|B)
</span><span>P(A|B)=0.4
</span>
B) P(B intersect A) = P(B|A)*P(A)
Replacing the known vallues:
0.2=P(B|A)*0.6
Solving for P(B|A):
0.2/0.6=P(B|A)*0.6/0.6
2/6=P(B|A)
1/3=P(B|A)
P(B|A)=1/3
Answer:
Option G
Step-by-step explanation:
Option F
m∠1 + 121 = 180 [Sum of linear angles = 180°]
True.
Option G
121 + m∠2 + 33 = 180
False. Because 121° is not an interior angle of the given triangle.
Option H
33 + m∠1 = 92
True.
Measure of exterior angle of a triangle is equal to the sum of he measure of the non adjacent interior angles.
Option J
121 + 92 + m∠3 = 360°
True.
Sum of the exterior angles of triangle is 180°.
