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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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Write the inequality for the following: You have $25 to spend. You are going to spend $10 on a shirt and then purchase earrings
ArbitrLikvidat [17]
She purchased five pairs of earrings
3 0
3 years ago
The Thompson family is buying a car that can travel 70 miles on two gallons of gas. Assume that the distance traveled in miles y
artcher [175]
70/2 = 35

The car gets 35 miles per gallons.

You can also find that out by looking at the slope of the equation. y = 35x. 35 is the slope here.

For your graph, plot the points:
(0,0)
(1,35)
(2,70)
(3,105)
(4,140)
(5,175)
(6,210)
(7,245)
(8,280)

And then draw a line through the points.

6 0
3 years ago
In the literal equation below, what do C and F represent?<br> F = C + 32
ladessa [460]

Hi!

Let's take a look at the equation:

F = C + 32

What do we notice?

C and F are both variables.

Variables are unknown numbers represented by a letter.

In this case, C and F are the variables.

Hope this helps!

- Melanie

7 0
3 years ago
A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with
hoa [83]

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

5 0
3 years ago
H(x)=(x-3)^2
mihalych1998 [28]

Answer:

Step-by-step explanation:

The domain of a function is all the allowed x values that make the function defined. There is nothing to make this function undefined. So the domain is negative infinity to positive infinity. All those x values are in the domain. In order to show your work, just show yourself plugging in those numbers.

You get 9, 0, and 1

5 0
3 years ago
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