Answer:
yes ; 17.5 ft
Step-by-step explanation:
Triangle PRQ is isosceles
the base angle are equals
we know two legs, so we can find the tangent of angle x
tan = opposite/adjacent
tan = 7/16 = 0.4375
the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)
the roof is safe
B we can use the Phytagorean theorem to solve this
PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft
Jack can swim 12 laps in 28 minutes. 28 minutes is 4 times greater than the time it took him to swim 3 laps. With 28 minutes he should therefore be able to swim 4 times as many laps. 3 times 4 equals 12
Answer:
75 cm
Step-by-step explanation:
To find the area of a traingle you use the following equation
b*h*.5
We know that the height of the triange is three times the base and that the area is 937.5
This means that
b*3b*.5=937.5
We can combine this and get 1.5b^2=937.5
We can then divide by 1.5 to get b by itself
b^2=625
Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)
So we know that b=25 and that h=3b which means that the height is 75 cm
( 30 / 100 ) * (15.40 ) = ( 3 / 10 )* (15.40) = 36.20 / 10 = 3.62$.
Answer:
Step-by-step explanation:
Given that Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random
the probability
(a) The student is enrolled in mathematics=
(b) The student is enrolled in English.=
(c) The student is enrolled in both.=
(d) The student is enrolled in mathematics or English.=
(e) The student is enrolled in English but not in mathematics.
=
(f) The student is not enrolled in English or is enrolled in mathematics.
=