3a + 3b-2c-2d
a= number of hearts
b= number of diamons
c= number of clubs
d= number of spades
if you draw 3hearts, 2 diamonds, and 1 spade, just replace a=3, b=2, c=0, d=1
3(3) + 3(2)-2(0)-2(1)
Multiply each term and add the results:
9+6-0-2 = 13
13 points
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
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1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
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1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
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1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
Answer:
photomath
Step-by-step explanation:
theres an app where you can take a pic of your problem and it would solve it for you,including fractions. I'm pretty sure it will simplify your answers too.The app is called photomath
Answer:
area of sector dfe=(360-110)/360×πr²=250/360×22/7×4²=34.9=35ft²
Answer:
25X5
Step-by-step explanation:
If you follow the PEMDAS rule the first thing you must do is the equation inside the parenthesis.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction