B. Liter is about 33 oz and quart is 32oz
11) First, add 74 and 43.
74+43=117
Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.
180-117=63
Angle 1 = 63 degrees
Angle 2 also equals 63 degrees, because they are vertical angles.
Angle 2= 63 degrees
Now, add 63 and 79
63+79=142
Subtract 142 from 180
180-142=38
Angle 3 = 38 degrees
12)
First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.
180-56=124
Angle C=124 degrees
Now, add 124 and 20
124+20=144
Finally, subtract 144 from 180
180-144=36
The measure of angle A is 36 degrees
Hope this helped! :)
Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = ![\frac{\log(b)}{\log(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%28b%29%7D%7B%5Clog%28a%29%7D)
thus,
Therefore, applying the above property, we get
⇒
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ ![\frac{\log(5^5)}{\log(5)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%285%5E5%29%7D%7B%5Clog%285%29%7D)
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ ![\frac{5\log(5)}{\log(5)}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Clog%285%29%7D%7B%5Clog%285%29%7D)
or
⇒ 5
Hence,
log₅(3125) = 5
Answer:
A) 5x - 2y = 12
B) 3x + 2y = 36 Adding both equations eliminates "y"
8x = 48
x = 6 Putting x=6 into equation B we get
3*6 + 2y = 36
2y = 18
y = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
Area = L * w
w = x
l = x + 4
Area = 32
Solution
32 = x(x + 4)
32 = x^2 + 4x
x^2 + 4x - 32
(x + 8)(x - 4)
Only x - 4 is going to make any sense
x - 4 = 0
x = 4
The width is 4
The length is 4 + 4 = 8
4*8 = 32 which is the area.