Answer:
x=2
Step-by-step explanation:
We will use the secant-secant Formula:
(whole secant) x (external part) = (whole secant) x (external part)
(1+x+4) * (x+4) = (11+x+1) * (x+1)
Combine like terms
(x+5) (x+4) = (x+12) (x+1)
FOIL
x^2 + 4x+5x + 20 = x^2 + x+ 12x + 12
Combine like terms
x^2 + 9 x + 20 = x^2 + 13 x + 12
Bring everything to the left
x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)
x^2 + 9 x + 20- (x^2 + 13 x + 12) =0
Distribute the minus sign
x^2 + 9 x + 20- x^2 - 13 x - 12 =0
Combine like terms
-4x +8 = 0
Subtract 8 from each side
-4x+8-8=0-8
-4x=-8
Divide each side by -4
-4x/-4 = -8/-4
x=2
Answer:
30
24 : 28 would equal 6 : 7
x 65 = 30
Use the proportion of the bracelets
Answer:
5.76 km/h
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we are given the side opposite the angle (angle of depression), and we want to find the adjacent side (distance from shore).
Tan = Opposite/Adjacent
tan(4°) = (height of tower)/(distance from shore)
tan(4°) = (50 m)/(distance from shore)
Then the distance from shore is ...
distance from shore = (50 m)/tan(4°) ≈ 715.03 m
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At the second sighting, the distance from shore is ...
distance from shore = (50 m)/tan(12°) ≈ 235.23 m
So, the distance traveled in 1/12 hour is ...
715.03 m - 235.23 m = 479.80 m
and the speed in km per hour is ...
speed = 0.4798 km/(1/12 h) = 5.7576 km/h
The speed of the boat is about 5.76 km per hour.
Answer:
G- 1/5
Step-by-step explanation:
When doing probability questions, you want to take the amount of what you are looking for and put it over the total. In this case, the total amount of t-shirts would be 15. If we are looking for the sports t-shirts, the fraction would be 3/15, which then simplifies down to 1/5.
Hope this helps! :)
Working out:
2 3/4 ー 1 1/4 = 1 2/4 = 1 1/2
Answer:
He needs to run 1 1/2 more miles.
