y = 52.02°
Step-by-step explanation:
Use the definition of the cosine of angle y:
cos y = adj/hyp = 8/13
or
y = arccos (8/13) = 52.02°
Answer:
70 units.
Step-by-step explanation:
The 4 sides of a rhombus are equal so each side has length 148 /4
= 37 units. The diagonals bisect each other at right angles so when we draw the 2 diagonals we have 4 congruent right-angled triangles.
So consider one of these triangles:
The hypotenuse is 37 units and one of the legs = 1/2 * 24 = 12 units ( half of the diagonal of length 24).
So the other leg is found using Pythagoras:
x^2 = 37^2 - 12^2 = 1225
x = 35.
This is half of the other diagonal so the latter = 70 units.
Hey there!!
Okay so let's start simplifying this :D
-| -2 + 9| <---- remember that the "vertical bars" are absolute value signs
Absolute value signs will make any values within them into a positive value even if it was negative in the first place
-| 7 | <---- first simplify what is within the absolute value signs
<u>- 7</u><u /> <----- this is your final answer!!!
I hope this helps you! ^__^
Kevin’s unit rate is $8.50/hr
Answer:
c. x=3
Step-by-step explanation:
4^x = 8^(x − 1)
4 = 2^2
8 = 2^3
2^2^x = 2^3^(x-1)
We know that a^b^c = a^(b*c)
2^(2x) = 2^(3*(x-1))
2^(2x) = 2^(3x-3)
The bases are the same so the exponents are the same
2x = 3x-3
Subtract 3x from each side
2x-3x = 3x-3-3x
-x = -3
x =3
