Convert from radian measure to degree measure: 3pi

Answers

Answer 1
Answer: To convert from radians to degrees, always multiply by 180/pi

3pi*180/pi
The pi's cancel out and you are left with 3*180 or 540°

Hope this helps
Answer 2
Answer: There are 2 PI radians in 360 degrees, so 3 PI radians = 1.5 circles = 360 + 180 = 540 degrees


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Robin randomly selects a number between 1 and 20. What is the probability that the number selected is the square of a natural number?a.1/2 b.-3/20 c.-3/10 d.1/5 e.1/3

1. (k+7)² =2892. (2s-1)² =225
3. (x-4)² =169

please help me answer these :)

Answers

1. \ \ \ (k+7)^2 =289\n\n\Leftrightarrow\ \ \ k+7= √(289) \ \ \ or\ \ \ \ k+7=- √(289)\n\nk=17-7=10\ \ \ \ \ \ \ or\ \ \ \ k=-17-7=-24 \n\n2.\ \ \ (2s-1)^2 =225\n\n\Leftrightarrow\ \ \ 2s-1= √(225) \ \ \ or\ \ \ \ 2s-1=- √(225)\n\n2s=15+1\ \ \ \ \ \ \ or\ \ \ \ 2s=-15+1\n2s=16\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ 2s=-14\ns=8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ s=-7 \n\n

3.\ \ \ (x-4)^2 =169\n\n\Leftrightarrow\ \ \ x-4= √(169) \ \ \ or\ \ \ \ x-4=- √(169)\n\nx=13+4=17\ \ \ \ \ \ \ or\ \ \ \ x=-13+4=-9
(k+7)^2 =289\n |k+7|=17\n k+7=17\vee k+7=-17\n k=10 \vee k=-24

(2s-1)^2 =225\n |2s-1|=15\n 2s-1=15\vee 2s-1=-15\n 2s=16 \vee 2s=-14\n s=8 \vee s=-7

(x-4)^2 =169\n |x-4|=13\n x-4=13 \vee x-4=-13\n x=17 \vee x=-9

The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel?

Answers

$2.35

Working
Let p represent the cost of pretzels and L the cost of a lemonade. 
From the second paragraph,
2p+ L= 5.75

From the equation above, the cost of a pretzel p can be expressed as:
2p= 5.75 - L
p= 5.75/2 - l/2
The cost of two lemonades exceeds that of  a pretzel by 0.25:
2 L= 5.75/2 -L/2+0.25

Solving this gives:
L=1.05

Then replace the value of L in 
p= 5.75/2 - L/2
This gives the value of a pretzel.




 

Final answer:

By using a system of equations, we can find that the cost of a pretzel is approximately $1.83.

Explanation:

This question can be solved using a system of linear equations. Let's define P as the cost of a pretzel and L as the cost of lemonade. So from the problem, we have 2 equations: 2P + L=$5.75 and L= P + $0.25.

Now, we can substitute the equation for L into the first equation to get: 2P + (P + $0.25) = $5.75, which simplifies to 3P + $0.25 = $5.75. Subtracting $0.25 from both sides gives 3P = $5.50. Dividing by 3 will then give the cost of a pretzel, so P = $5.50/3 = $1.83.

Learn more about System of Equations here:

brainly.com/question/35467992

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How many roots of the polynomial 30x^4 + 7x^3-125x^2-54x+72 have absolute value greater than 1?

Answers

Answer:

There are 3 roots of the given polynomial that have absolute value greater than 1.  

Step-by-step explanation:

We are given the polynomial:

p(x) = 30x^4 + 7x^3-125x^2-54x+72

We can factorize the given polynomial as:

p(x) = 30x^4 + 7x^3-125x^2-54x+72\n=(x-2)(2x+3)(5x-3)(3x+4)=0

\text{Solving for}\n(x-2) = 0\nx = 2\n|x| = 2 > 1

\text{Solving for}\n(2x+3) = 0\nx = (-3)/(2)\n\bigg|(-3)/(2)\bigg| = (3)/(2) > 1

\text{Solving for}\n(5x-3) = 0\nx = (3)/(5)\n\bigg|(3)/(5)\bigg| = (3)/(5) < 1

\text{Solving for}\n(3x+4) = 0\nx = (-4)/(3)\n\bigg|(-4)/(3)\bigg| = (4)/(3) > 1

Thus, there are 3 roots of the given polynomial that have absolute value greater than 1.

Which of the following is a function equivalent to f(x) = 4(1.8)2x?f(x) = 4(3.24)x

f(x) = 4(3.24x)

f(x) = 12.96x

f(x) = 51.84x

Answers

If you would like to know which is a function equivalent to f(x) = 4 * (1.8)^(2x), you can calculate this using the following steps:

f(x) = 4 * (1.8)^(2x)
f(x) = 4 * 3.24^x
f(x) = 4 * (3.24)^x

The correct result would be 
f(x) = 4(3.24)x.

Answer:

A

Step-by-step explanation:

1.8 times 1.8 equals= 3.24

A home mortgage is usually borrowed for how long

Answers

The traditional home mortgage is usually borrowed for 30 years. 

4k^2(-3k^2 - 4k + 5) A. -12k^4 - 16k^3 + 20k^2
B. 12k^4 - 16k^3 + 9k^2
C. -12k^3 + 20k
D. k^4 + 9k^2

Answers

Hello,

Answer A for 4k²*5=20k²
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