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Andrew [12]
2 years ago
12

Please help, very confused!

Mathematics
1 answer:
My name is Ann [436]2 years ago
7 0
\bf cot(\theta)=\cfrac{1}{tan(\theta)}
\qquad \qquad 
csc(\theta)=\cfrac{1}{sin(\theta)}\qquad \qquad sin(-\theta )=-sin(\theta )
\\\\\\
\textit{also recall }sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
-------------------------------

\bf \cfrac{csc^2(x)-cot^2(x)}{sin(-x)cot(x)}\implies \cfrac{\frac{1}{sin^2(x)}-\frac{cos^2(x)}{sin^2(x)}}{-sin(x)\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{1-cos^2(x)}{sin^2(x)}}{-cos(x)}
\\\\\\
\cfrac{\frac{sin^2(x)}{sin^2(x)}}{-cos(x)}\implies \cfrac{1}{-cos(x)}\implies -sec(x)
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Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?
charle [14.2K]

Answer:

4

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • h+q=31 is an equation representing the total number of coins
  • 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

3 0
3 years ago
Please this is my last point I really need help <br> Show workings
Lisa [10]

Answer:

x = 14.375

Step-by-step explanation:

Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.

180° - 95° = 85°

Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.

85° / 2 = 42.5°

Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for <em>x</em>).

(4x - 15) = 42.5

Now, let's just get rid of those useless parentheses.

4x - 15 = 42.5

Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.

4x = 57.5

Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:

x = 14.375

4 0
3 years ago
Read 2 more answers
Solve the following permutation. 6P3
victus00 [196]
Here, the answer is 120
4 0
3 years ago
What is a cubic polynomial function in standard form with zeros 1,1,and -3?
Mekhanik [1.2K]

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

⇒ f(x) = x³ + x² - 5x + 3

So, this is the cubic polynomial function in standard form. (Answer)

8 0
3 years ago
Got another easy question to do. Will give, Branliest.<br><br>Thanks, <br>:) ​
elena55 [62]

Answer: 360g

120 --> 10

  x   ---> 30

120*30=10*x

3600= 10*x

x= 3600/10

x= 360

Matthew needs 360g of flour

5 0
3 years ago
Read 2 more answers
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