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LenKa [72]
3 years ago
6

Prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2​

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0

=(

2

1

)

2

+(

2

1

)

2

−1

2

=

2

−1

Therefore, L.H.S = R.H.S

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A telescope costs $126 with a 30% discount. What was the original price?
Juli2301 [7.4K]

Answer:

$180

Step-by-step explanation:

Since the cost of the telescope with the 30% discount is $126 then $126 is 70% of the original price. Remember 100-30=70. To find the original price set up a proportion with these values:

\frac{126}{x}=\frac{70}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(70) = 126(100)

70x = 12600

x= $180


3 0
4 years ago
Part A :
Amiraneli [1.4K]

Answer:

v > -25/p

r = -5 +7/3w

Step-by-step explanation:

-vp + 40 < 65

Subtract 40 from each side

-vp + 40 -40< 65-40

-vp < 25

Divide by -p.  Remember to flip the inequality

-vp/-p > 25/-p

v > -25/p

7w - 3r =15

Subtract 7w from each side

7w -7w- 3r =15-7w

-3r = 15-7w

Divide by -3

-3r/-3 (15-7w)/-3

r = -5 +7/3w

7 0
3 years ago
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that
rosijanka [135]

Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.

<h3>What is the mean of a data-set?</h3>

The mean of a data-set is given by the <u>sum of the observations divided by the number of observations</u>.

For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.

Hence, the sample mean in ounces is of:

M = (18 + 19 + 20 + 19)/4 = 19.

More can be learned about the mean concept at brainly.com/question/24628525

3 0
2 years ago
1. Five more than a number is eight.
kolezko [41]

Answer

<u>3</u>, the number is 3

Step-by-step explanation:

work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.

4 0
3 years ago
A partial cylinder lies on its side. The bases are a 90° sector of a circle. What is the exact volume of the partial cylinder?
LenKa [72]

Answer:

180%


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
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