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alina1380 [7]
3 years ago
13

PLS HELP ASAP! 20 PTS evaluate

Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Answer:

Step-by-step explanation:

Cos^-1(1/2) = 60

To get from a degree to radian, simply multiply by pi then divide by 180. So the final answer is 1/3pi or approximately 1.0472

I hope this helped! :D

You might be interested in
The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg
BartSMP [9]

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

\sin{(\frac{\pi}{2})} = 1

y=60+25sin(pi/6)t

The maximum value will occur when \sin{(\frac{\pi t}{6}}) = 1, and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is \frac{\pi}{2}. So

\frac{\pi t}{6} = \frac{\pi}{2}

\frac{t}{6} = \frac{1}{2}

2t = 6

t = \frac{6}{2} = 3

That is the number of months after April 15, which is 3 months. So July 15.

8 0
3 years ago
a pool in the shape of rectangle has a perimeter of 80 feet. The pool is 8 Feet less wide than its long. Find the length and wid
Aneli [31]
Hello!

To solve this, lets put it into a system of equations where w=width and L=length.
2w+2L=80
L-8=w

To solve, we see that w=L-8. We can substitute this in the first equation to find L and then w.

2(L-8)+2L=80
2L-16+2L=80
4L-16+80
4L-16=80
4L=96
L=24

Now that we know L=24, we can find w. 24-8=16. Now we know that L=24 and w=16.

Lets check our answer. In our original system of equations, we have 48+32=80, which is true, and 24-8=16. Also, the perimeter must equal 80. 16+16+24+24=80.

As our final answer, the width of the pool is 16 feet, and the length is 24 feet.

Hope this helps!

5 0
3 years ago
Tony wants to save $10,000 in 6 years. Assuming a 4% interest rate, what is the minimum he must save each month to reach his goa
arlik [135]

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

S=R(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

10000=R(\frac{(1+\frac{0.04}{12})^{12*6}-1}{\frac{0.04}{12}})

10000=R(\frac{(1+0.00333333333333)^{72}-1}{0.00333333333333})

10000=R(\frac{(1.00333333333333)^{72}-1}{0.00333333333333})

10000=R(\frac{1.27074187908-1}{0.00333333333333})

10000=R(\frac{0.27074187908}{0.00333333333333})

10000=R(81.2225637241)

\frac{10000}{81.2225637241}=R

123.11849739=R

which is approx $123.

Hence final answer is C) $123.

4 0
4 years ago
Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.
boyakko [2]

Answer:

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:

can be factored as follows:

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.

i.e.  

which can be factored as follows:

.

3 0
3 years ago
Read 2 more answers
If the shape of an object changes the perimeter will always change true or false
Ugo [173]

The answer is false due to the object is changes shape not size

6 0
3 years ago
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