Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.
1. Log7 (49)=2
2. Log63(216)=3
3. Log2 (256)=8
4. Log4 (64)= 3
5. Log5 (3125)=5
Answer:
You use the vertical line test to see if a function is relation is a function
Step-by-step explanation:
A function is a relation with only one output for every input. That means that if the x value and two y values, it is not a function.
Answer: the correct answer is 11 hours, 21 seconds and 3738 fractions of a second.
Step-by-step explanation:
An American gallon has 3.78541 liters.
3,600 gallons are 13,627.46 liters since 3,600 gallons * 3.78541 liters per gallon= 13,627.46 liters
We will need 681.3738 minutes to fill the pool since 13,627.46 liters divided by 20 liters per minute = 681.3738 minutes
681.3738 minutes is 11 hours and 21.3738 seconds since 11*60 minutes + 21.3738 minutes = 660 minutes + 21.3738 seconds = 681.3738 or 681.3738 divided by 60 minutes ( 1 hour ) is 11 hours and 21.3738 seconds.
Equation is y=kx. We have four chance to figure out k; hopefully they all give the same result
x=9, y=63, y=kx becomes 63=k(9) so k=63/9=7
x=4, y=28, 28=k(4), k=7
The constant of proportionality is 7; we check 2×7=14, 11×7=77
Answer: k=7, y=7x
