Answer:
It's 0.72
Step-by-step explanation:
It's independent of gender, so we can ignore the boys and girls part.
Adding the columns, 18 pass and 7 failed the last history test.
Adding those two numbers, you get 25.
So, 25 people took the test, and 18 passed.
You can get the probability by dividing 18 by 25.
Dividing that gives us 0.72
Find tan (22.5)
Answer: #-1 + sqrt2#
Explanation:
Call tan (22.5) = tan t --> tan 2t = tan 45 = 1
Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)
#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.
#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2
Answer: 240
Step-by-step explanation:
You would multiply each of the sides to get the final answer of 240 (:
Answer:
(2, -4)
Step-by-step explanation:
The scale factor is the number used to multiply the pre-image coordinates.
The image of the point (4, -8) is (2, -4). Each coordinate is 1/2 the corresponding coordinate in the pre-image.
Answer:
What are the equations and anwsers?