MATHEMATICS HIGH SCHOOL

Use a double or half angle identity to find cos (7π/12). Provide the exact answer in simplest form (no approximations)

Answers

Answer 1
Answer: (√(6) + √(2))/4. cos(7 \pi /12) is the same thing as cos(π/3 + π/4) and then you use the formula cos(a + b) = cos(a)cos(b) + sin(a)sin(b)

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How many x-intercepts does the graph of y = x2 have?
A) 0
B) 1
C) 2
D) 3

Answers

I'm pretty sure the answer is 2
2 Which is c !! hope ii help you out aa little

The radius of a circle is 17 inches . What is the circumference? Use 3.14 for pi!

Answers

Answer:

53.38

Step-by-step explanation:

Final answer:

The circumference of a circle with a radius of 17 inches can be calculated using the formula C=2πr. Substituting these values into the formula gives a circumference of approximately 106.76 inches.

Explanation:

The question is asking about the circumference of a circle, given its radius. The formula to find the circumference of a circle is C=2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In this case, the radius of the circle (r) is 17 inches. Substituting these values into the formula, we get:

C = 2 * 3.14 * 17 = 106.76 inches

So, "the circumference of the circle is approximately 106.76 inches".

Learn more about Circumference of a Circle here:

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Justine filled quart jars with 248 pints of juice. How many quart jars did Justine need?

Answers

124 quart jars.
2 pints are in a quart.
To have 248 pints of juice.
Take 248 divided 2 and that gets you 124 quart jars
124 jars   cuz 248=124

There are 45 red tiles,25 blue tiles and 30 green tiles in a bag.Suppose you plan to conduct this experiment 60 times.
Draw a tile from the bag without looking.
Record the color of the tile
Replace the tile
How many tiles of each color do you expect to get?

Answers

This is a question of probability.
Probability of picking any color= number of tiles with that color/total number of tiles
Total=45+25+30=100
P(red tile)=(45/100)x60=0.45x60=27
P(blue tile)=(25/100)x60=0.25x60=15
P(green tiles)=(30/100)x60=0.3x60=18

Solve -2 - 3/7b = 4. Check your SOLUTION

Answers

Step-by-step explanation:

-2 -3/7b = 4

-2-4 = 3/7b

-6 = 3/7b

3/7b = -6

b = (-6)×7/3

b = -14

Trina borrowed $460 from a friend. Her friend charged her 5% simple annual interest. How much will Trina owe her friend in total after 3 years? Use the simple interest formula to solve. I = prt I = (460)(0.05)(3) Trina must pay her friend a total of $ .

Answers

Answer:

The interest of 3 years

=(460×5%)×3

Trina will owe her friend

=460+(460×5%) ×3

=460+23×3

=460+69

=$529

Step-by-step explanation:

Answer:The answer is 529

Step-by-step explanation:
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