MATHEMATICS HIGH SCHOOL

Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?A. 1/(cscx + sinx)
B. sinx + 1
C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answers

Answer 1
Answer: C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))
Answer 2
Answer:

Answer:

multiply the denominator by its conjugate (1-sinx)/(1-sinx)

Step-by-step explanation:

[sinx (1-sinx)] / [(1+sinx)(1-sinx)]

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10y+23=4y+26 please help

Answers

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Each day, the cafeteria serves more than 200 apples with lunch. Write an inequality that represents this situation. Let a represent the number of apples.

Answers

The expression for the inequality is written as a > 200.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that each day, the cafeteria serves more than 200 apples with lunch.

The inequality will be written as,

a > 200

To know more about inequality follow

brainly.com/question/24372553

#SPJ5

Here is the answer
a > 200

In your own words, explain the
term midpoint.

Answers

Ok in my own words hmm.

Midpoint to me would be the point in the middle.

I've seen and worked with midpoints on lines and triangles.

So the midpoint would be the point in the middle of a line segment.

Hope this is helpful!

Answer:

It's the center of a line which involves coordinates (x,y) and by defining a line it's made up of multiple coordinates

Step-by-step explanation:

Hope it's helpful

Frankie has $40 in his wallet. He decided to buy a pair of earrings for his mom for her birthday. He spent 25% of his money on the earrings. How much were the earrings?

Answers

40x.25=10
He spent 10 dollars on them

Dianna has 7 quarters, 3 dimes, and 8 nickels in her purse. She reaches into her purse and randomly grabs two coins. What is the probability that Dianna grabs a dime first and then a nickel?

Answers

There are 18 coins total in her bag:

7+3+8=18coins

3 of the 18 coins are dimes, so the odds of first drawing a dime are 3/18

P(dime)=3/18

Since the nickel was taken out and not replaced, there are now 17 coins in her purse.

18-1=17coins

8 of the 17 remaining coins are nickels, so the odds of drawing a nickel are 8/17.

P(nickel)=8/17


Now we multiply the two probabilities by eachother to find out the odds of both occurring...


P(dime)*P(nickel)=

3/18*8/17=24/306=8/103=0.078=8%

The probability of grabbing a dime and then a nickel are 8/103 or 0.078 or an 8% chance, whichever way you'd prefer to write it.

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

h(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
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