MATHEMATICS HIGH SCHOOL

In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

Answers

Answer 1
Answer: the main formula is 

sector area = n / 360°  x Pi r²

4 = n / 360  x  r² = n° / 36,  

144° = n
Answer 2
Answer:

Answer:

The degree measure of the arc of the sector is 45.85 degrees\n

Step-by-step explanation:

The area of a sector is given by

(n)/(360) \pi r^(2)\n

Substituting the values in above equation, we get

40 = (n)/(360) (3.14)10^2\nn = 45.85\n

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Given the values in the probability distribution table, determine the standard deviation. A. 3.2
B. 13.9
C. 3.9
D. 2.0

Answers

Answer:

D. 2.0 is the right answer

Step-by-step explanation:

Note: All decimals were converted to fractions.

The standard deviation of the given distribution is:

σ=1.965

Answer:

1.96

Step-by-step explanation:

Solution:-

- We will use the table given to determine the standard deviation of random variable x. From descriptive statistics we have the following formula for standard deviation (s.d) :

                s.d (x) = sqrt ( Var(x) )

- The formula for Variance ( Var (x) ) is also taken from descriptive statistics as follows:

                Var(X) = E ( X^2) + [ E(X) ] ^2

- Where,

                E ( X^2) = 0^2*0.15 + 1^2*0.07 + 2^2*0.19 + 3^2*0.09 + 4^2*0.16 + 5^2*0.23 +6^2*0.11 \n\nE ( X^2) = 13.91 \n\n

               

                E(X) = 0*0.15\:+\:1*0.07\:+\:2*0.19\:+\:3\cdot \:0.09\:+\:4\cdot \:0.16\:+\:5\cdot \:0.23\:+6\cdot \:0.11\n\nE(X) = 3.17\n\n(E(X))^2 = 10.0489

- So the variance is:

                Var ( X ) = 13.91 - 10.0489 = 3.8611

                s.d (x) = √3.8611 = 1.96

How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 milliliters of a 30% saline solution?Volume of 15% solution= ____
Volume of 40% solution = ____

Answers

x - volume of 15% saline solution. Theres is 15% x = 0,15 x saline solution
y - volume of 40% saline solution. There is 40% y = 0,4y saline solution

You want to produce 10 mililiers  so x+y= 10 

And this saline has to be 30%, so you've got  30 % * 10 = 0,3 * 10 = 3 ml saline. So:
0,15x + 0,4y = 3
And you've got system of equations:
\begin{cases} x+y=10 \n 0,15x+0,4y=3\end{cases} \n \begin{cases} x=10-y \n 0,15x+0,4y=3\end{cases} \n \hbox{Substitute value from first equation to second:} \n 0,15(10-y)+0,4y=3 \n 1,5-0,15y+0,4y=3 \n 0,25y=1,5 \qquad /:0,25 \n y=(1,5)/(0,25)=(150)/(25)=6 \n \hbox{Then:} \n x=10-y=10-6=4

So answer:
Volume of 15% saline solution : 4 mililiters
Volume of 40% saline solution: 6 mililiters. 

AB and DC are parallel or perpendicular?

Answers

Answer: AB and DC are parallel.

The products of 0.42 with 0.2 can be written in fraction?Yes or no and whats the right fraction i keep get it wrong​

Answers

I believe it is yes. I think the right fraction is 84/1000. Let me know if this works and if not tell me

Answer:

yes ... 42/100 × 2/10= 21/250

What's the sum of 6 feet 10 inches and 8 feet 9 inches?

Answers

15 feet and 7 inches
reeber 12 inches=1 foot
first add up the feet
6+8=14 feet

add the inches
10+9=19
19in=12in+7in=1ft+7in

add 1 to feet
14+1=15

answer is 15 feet and 7 inches

Which expression finds the measure of an angle that is coterminal with a 300° angle?300° – 860°
300° – 840°
300° – 740°
300° – 720°

Answers

The correct answer is:

300° – 720°

Explanation:

Coterminal angles are angles that, when drawn in standard position, have terminal sides in the same place.

Any angles that are coterminal are some multiple of 360° different in measure. This is because in order to be coterminal, they must travel the entire circle at least once, possibly more times.

Out of the given options, the only one that is a multiple of 360° is 300° – 720° .
The expression that gives an angle that is coterminal with 300 is 300-720. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression gives an angle of 420 where when it is drawn the terminal sides are on the same location with the 300.
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