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Rudik [331]
3 years ago
5

1 - 2sin^2(pi/3) = _____ cos pi/6 sin pi/6 cos 2pi/3 sin 2pi/3

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Apply the cosine double angle identity to get:

Cos 2PI/3

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John bought an iPad for $425.His total price was $450.50 when he checked out at the register.What percent sales tax did he pay?
lbvjy [14]

Answer:

6%

Step-by-step explanation:

450.5 - 425 = 25.5

25.5/425= .06

.06 times 100 = 6

3 0
3 years ago
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Solve for h.<br> -49 = 7h<br> h =
borishaifa [10]

Answer:

h = -7

Step-by-step explanation:

Given:

-49 = 7h

Divde both sides by 7:

-7 = h

Check:

-49 = 7h

-49 = 7(-7)

-49 = -49 ✅

4 0
3 years ago
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Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)
svetlana [45]

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5  and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

-2 = 3x

Divide by 3

-2/3 = 3x/3

-2/3 =x

6 0
3 years ago
What is 2.8 as a fraction in simplest form
irina1246 [14]
2.8 = 2 + 0.8

*let's analyze the decimal 0.8 as a fraction

0.8 = 8/10

*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:

(8/2)/(10/2) = (4)/(5) = 4/5

*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:

2*(5/5) = (2*5)/5 = 10/5

*Now we add the fractions together:

2 = 10/5
0.8 = 4/5

10/5 + 4/5

*add numerators only, the denominator stays as a 5

(10 + 4)/5 = 14/5

*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:

answer is: 14/5

8 0
3 years ago
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This system has one solution y=8x+9, y=x^2+4x+13. What is the y coordinate
Digiron [165]

This system has one solution y=8x+9, y=x^2+4x+13. What is the y coordinate

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y=8x+9 and y.No solution

4 0
3 years ago
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