In the chart of the triangle it shows that the variable b is the base. It also give us the equation for area 1/2bh (half of base * height)
Now we just plug in the values we are given
1/2bh
1/2(10*13)
1/2(130)
65
The area of the triangle is 65 ft
We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance
If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.
Find the height of first pilotheight/distance = sin x
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200
Find the height of second pilotheight/distance = sin x
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192
So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°
Answer:
I'm Not bored im currently Dying while in school :)
Step-by-step explanation:
ANSWER:
In triangles BEC and AED
1)BC=AD(given)
2)Angle BCD= Angle ADC(given)
Then,Angles BCE=Angle ADE
3)Angle BEC=Angle AED(vertically opposite angles)
Thus,triangleBEC=~triangle AED( by AAS rule)
Thus,DE=CE (By CPCTC)
HOPE IT HELPS!!!!!
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Answer:
6.9%.
Step-by-step explanation:
Given that a university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors, and the professor is planning to select two of the students for a demonstration, where the first student will be selected at random, and then the second student will be selected at random from the remaining students, to determine what is the probability that the first student selected is a history major and the second student is a nursing major the following calculations must be performed:
26 = 100
9 = X
9 x 100/26 = X
900/26 = X
34.61 = X
25 = 100
5 = X
500/25 = X
20 = X
0.2 x 0.3461 = X
0.069 = X
Thus, the probability that the first student selected is a history major and the second student is a nursing major is 6.9%.