Answer:
B.18. 44 miles
Step-by-step explanation:
We are given that
Distance between A and B=8 miles
Angle B=Angle BCQ=40 degree (Alternate interior angles)
Angle ACB=180-Angle ACP-Angle BCQ
Angle ACB=180-40-40=100 degree
In triangle ABC
Angle A+ Angle B +Angle C=180 degree using sum of angles of triangle property
Substitute the values
degree
Angle A=Angle B
When two angles are equal of a triangle then the triangle is isosceles triangle.
Therefore, triangle ABC is an isosceles triangle.
Now, Sine law
Using the sine law
BC=5.22
AC=BC=5.22 miles
Now, total distance covered by the boat=AB+BC+AC
Total distance covered by the boat=8+5.22+5.22=18.44 miles
Hence, option B is correct.
Answer:
The pattern form is 8,15,34,71 which follows the rule 
Step-by-step explanation:
Given : Rule
To find : Create a number pattern that follows the rule. Use at least three terms in the pattern ?
Solution :
Rule
Put n=1,
Put n=2,
Put n=3,
Put n=4,
The pattern form is 8,15,34,71 which follows the rule
Answer:
7/8
Step-by-step explanation:
150-80 = 70
70/80 simplified is 7/8
Step-by-step explanation:
3.)
34 + 3√(4 • 6 ÷ 2)^2 + 5^2
34 + 3√(12)^2 + 25
34 + 3√144 + 25
34 + 3√169
34 + 3 × 13
34 + 39 = 73
4.)
|9 - 12 • 3| - 2 + 10/2^2 + 10 - 7
|9 - 36| + 8/4 + 10 - 7
9 + 36 + 8/7 = 53/7
Answer:
2 real roots
Step-by-step explanation:
The discriminant is b^2 -4ac where ax^2 +bx -c
If b^2 -4ac > 0 we have 2 real roots
b^2 -4ac = 0 we have 1 real root
b^2 -4ac < 0 we have 2 complex roots
x²-x-12=0
a =1 b=-1 c = -12
(-1)^2 - 4(1)*(-12)
1 +48
49 > 0
2 real roots
