Answer: x is 52 and y is 38.
Step-by-step explanation:
x+128=180
x=52
52+y=90
y=38
Subtract 2x from both sides then you’d have -7x+4=16 Then you subtract 4 from both sides and you’d get -7x=12. Next you divide both side by -7 so x=1.75 rounded to the nearest hundredth.
Answer:
Distance between boat and light house = 223.88 meter (Approx.)
Step-by-step explanation:
Given:
Height of light house = 60 meters
Angle of depression to boat = 15°
Find:
Distance between boat and light house
Computation:
Using trigonometry application:
Tanθ = Perpendicular / Base
Tan 15 = Height of light house / Distance between boat and light house
0.268 = 60 / Distance between boat and light house
Distance between boat and light house = 60 / 0.268
Distance between boat and light house = 223.88 meter (Approx.)
Answer:
The missing exponent is 5
Step-by-step explanation:
Answer:
4512.
Step-by-step explanation:
We are asked to find the number of five-card hands (drawn from a standard deck) that contain exactly three fives.
The number of ways, in which 3 fives can be picked out of 4 available fives would be 4C3. The number of ways in which 2 non-five cards can be picked out of the 48 available non-five cards would be 48C2.

We can choose exactly three fives from five-card hands in
ways.

Therefore, 4512 five card hands contain exactly three fives.