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3 years ago

How many 30 degree angles does it take to make a full turn?

2 answers:

8 0

Hi there!

I'm going to assume you either mean a 90 ° turn or full 360 ° turn.

For a 90 ° turn you would simply need three 30 ° angles as 30 * 3 = 90.

For a 360 ° turn you would need twelve 30 ° angles as 30 * 12 = 360.

Dima020 [189]3 years ago

3 0

Full turn
either you means a 180 degrees which is a direct U-turn
or 360 degrees turn which is 1 full rotation

so

how many 30's make full turn
x times 30=full turn
divide both sides by 30
x=full turn/30
therefor we just divide by 30 to find how many of them are needed
180/30=6
6 turns if 1 full turn is 180

360/30=12
12 turns if 1 full turn is 360

I would go with 12 turns

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In the diagram, AB = 10 and AC = 2√10. What is the perimeter of △ABC?

Zigmanuir [339]

D. 20 + 2âš10 units To solve this, you simply need to calculate the length of each side of the triangle with the vertexes of A(3,4), B(-5,-2), and C(5,-2). The length of each side is simply calculated using the pythagoras theorem. Note that it doesn't matter what order you do the subtraction. The absolute value will be the same and if it happens to be negative, not a problem since it will become positive once you square the values. So the length of side AB is sqrt((3-(-5))^2 + (4-(-2))^2) = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10. The length of side BC is sqrt((-5 - 5)^2 + (-2 - (-2))^2) = sqrt(-10^2 + 0^2) = sqrt(100+0) = sqrt(100) = 10. And finally, the length of side AC is sqrt((3-5)^2 + (4-(-2))^2) = sqrt(-2^2 + 6^2) = sqrt(4+36) = sqrt(40) = 2 * sqrt(10) Finally, add all the lengths together. 10 + 10 + 2âš10 = 20 + 2âš10

4 0

3 years ago

What is the median of the following set of data?

Alona [7]

Answer:

5 is the median ..........

4 0

2 years ago

Suppose you toss a fair coin 10 times, let X denote the number of heads. (a) What is the probability that X=5? (b) What is the p

zubka84 [21]

Answer: The required answers are

(a) 0.25, (b) 0.62, (c) 6.

Step-by-step explanation: Given that we toss a fair coin 10 times and X denote the number of heads.

We are to find

(a) the probability that X=5

(b) the probability that X greater or equal than 5

(c) the minimum value of a such that P(X ≤ a) > 0.8.

We know that the probability of getting r heads out of n tosses in a toss of coin is given by the formula of binomial distribution as follows :

$P(X=r)=^nC_r\left(\dfrac{1}{2}\right)^r\left(\dfrac{1}{2}\right)^{n-r}.$

(a) The probability of getting 5 heads is given by

$P(X=5)\\\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}\\\\\\=\dfrac{10!}{5!(10-5)!}\dfrac{1}{2^{10}}\\\\\\=0.24609\\\\\sim0.25.$

(b) The probability of getting 5 or more than 5 heads is

$P(X\geq 5)\\\\=P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}+^{10}C_6\left(\dfrac{1}{2}\right)^6\left(\dfrac{1}{2}\right)^{10-6}+^{10}C_7\left(\dfrac{1}{2}\right)^7\left(\dfrac{1}{2}\right)^{10-7}+^{10}C_8\left(\dfrac{1}{2}\right)^8\left(\dfrac{1}{2}\right)^{10-8}+^{10}C_9\left(\dfrac{1}{2}\right)^9\left(\dfrac{1}{2}\right)^{10-9}+^{10}C_{10}\left(\dfrac{1}{2}\right)^{10}\left(\dfrac{1}{2}\right)^{10-10}\\\\\\=0.24609+0.20507+0.11718+0.04394+0.0097+0.00097\\\\=0.62295\\\\\sim 0.62.$

(c) Proceeding as in parts (a) and (b), we see that

if a = 10, then

$P(X\leq 0)=0.00097,\\\\P(X\leq 1)=0.01067,\\\\P(X\leq 2)=0.05461,\\\\P(X\leq 3)=0.17179,\\\\P(X\leq 4)=0.37686,\\\\P(X\leq 5)=0.62295,\\\\P(X\leq 6)=0.82802.$

Therefore, the minimum value of a is 6.

Hence, all the questions are answered.

3 0

3 years ago

The difference of twelve times a number and nine times a number

inna [77]

Since the problem states "a number" and again "a number", I assume it;'s the same number. Let the number be x.

12x - 9x = 3x

The difference of twelve times a number and nine times a number is three times the number.

6 0

3 years ago

Read 2 more answers

which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)

fomenos

Answer:

A. x + y = 5

Step-by-step explanation:

The slope of the equation is equal for parallel lines,

; Slope = (-1)

;Use the formula

(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]

; y - 1 = (-1)(x - 4)

; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side

; x + y = 4 + 1

; Hence,

; x + y = 5

4 0

3 years ago