Answer:
Breaking up the multiplicand 8 into (5+3) allows us to apply the associative property of multiplication. See below.
Step-by-step explanation:
5*7 = 35. We want the product 8*7. Note that 8 = 5+3. Thus, 8*7=(5+3)(7) = 35 + 21, or 56.
We have that
csc ∅=13/12
sec ∅=-13/5
cot ∅=-5/12
we know that
csc ∅=1/sin ∅
sin ∅=1/ csc ∅------> sin ∅=12/13
sec ∅=-13/5
sec ∅=1/cos ∅
cos ∅=1/sec ∅------> cos ∅=-5/13
sin ∅ is positive and cos ∅ is negative
so
∅ belong to the II quadrant
therefore
<span>the coordinates of point (x,y) on the terminal ray of angle theta are
</span>x=-5
y=12
the answer ispoint (-5,12)
see the attached figure
Answer:
14 pint containers.
Step-by-step explanation:
First we have to convert gallon to quart.
2 gallons = 8 quarts
There are 2 containers that added up to 1 quart, so let's subtract the one quart from the 2 gallons(8 quarts), leaving behind 7 quarts.
The conversion between quarts and pints are 1qt=2pt, according to the key you provided. Then 7 quarts will equal to 14 pints. And therefore, she will need 14 pint containers.
Answer:
x=5
AOB = 8
BOC = 13
AOC = 21
Step-by-step explanation:
<em>Angle AOB and Angle BOC is equal to Angle AOC.</em>
AOB = x+3
BOC = 4x-7
AOC= 2x+11
AOB + BOC = AOC
x+3+4x-7 = 2x+11
5x-4 = 2x+11
3x = 15
x = 5
Therefore, the value of x is 5.
<em>Angle AOB = x+3</em>
AOB = 5+3
AOB = 8
<em>Angle BOC = 4x-7</em>
BOC = 4(5)-7
BOC = 13
<em>Angle AOC = 2x+11</em>
AOC = 2(5)+11
AOC = 21
!!
8x + 7y = 39
4x - 14y = -68
(multiply each term in second equation by -2)
8x + 7y = 39
-8x + 28y = 136
(add both equations)
35y = 175
(divide both sides by 35)
y = 5
(substitute value of y in one of the equations)
8x + 7(5) = 39
8x + 35 = 39
8x = 4
x = 1/2
(x, y) = (1/2, 5)