Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
Answer:
<1 = 100
<2 = 80
Step-by-step explanation:
Angle 1 and angle 2 are supplementary
Supplementary angles add to 180 degrees
<1 + <2 = 180
The angles are in a ratio of 5 to 4
Multiply by x to get the measure of each angle
<1 = 5x <2 = 4x
5x+4x = 180
Combine like terms
9x = 180
Divide by 9
9x/9 =180/9
x =20
<1 = 5x = 5*20 = 100
<2 = 4x = 4*20 = 80
Answer:27
Step-by-step explanation:
Are you in middle school
The probability that the candidate will win is P = 0.357
<h3>
How to find the probability?</h3>
We know that the odds against the particular candidate are 9 to 5.
The the odds for the candidate are 5 to 9, this means that in 5 cases the candidate will win, and in 9 cases the candidate will lose.
Then the candidate wins in 5 out of 14 cases, then the probability that the particular candidate wins the elections is given by the quotient:
P = 5/14 = 0.357
The probability that the candidate will win is P = 0.357
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Answer:
6 7/12
Step-by-step explanation:
We need to get a common denominator, which is 12
12 1/4 - 5 2/3
12 1/4*3/3 - 5 2/3*4/4
12 3/12 - 5 8/12
We will need to borrow from the 12 since 3/12 is less than 8/12. Write the 1 we borrow as 12/12
11 + 12/12 + 3/12 - 5 8/12
11 15/12 - 5 8/12
6 7/12
