Answer:
The measure of the third arc is 
Step-by-step explanation:
step 1
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
in this problem
Let
x----> the greater arc of the circle intercepted by the secant and the tangent
y----> the smaller arc of the circle intercepted by the secant and the tangent
----> equation A
-----> equation B
Substitute equation B in equation A and solve for y
Find the value of x
step 2
Find the measure of the third arc
Let
z------> the measure of the third arc
we know that
-----> complete circle
substitute the values and solve for z
So
1/2x+2=2/3x
convert to common fraction
1/2=3/6
2/3=4/6
3/6x+2=4/6x
subtract 3/6x from both sides
2=1/6x
multiply boh tisdes by 6
12=x
the tank can hold 12 gallon
Answer is given below
Step-by-step explanation:
given data
average length of all 1015 fishes = 98.06 mm
randomly selects 50 fishes average length = 101.04 mm
solution
- When we get here, we mean to measure, so here we measure a fish in a square lake.
- And the variable means that a fish varies from fish to fish, so the length of the fish in the squares
- parameter mean that all individuals in the population so the parameter is average length of all 1015 fish in square lake
- statics is selct of individual in sample so statistic is average length of random sected so fish in square lake
Hey there!
To start, the mean of the answer is also known as the average value of a set of numbers. This is calculated by dividing the sum of the set by the total amount of numbers.
In this case the sum of all the numbers is 13 + 6 + 8 + 6 + 15 which is equal to 48.
Now, divide 48 by the total number of numbers in the set: 48/5 = 9.6
Your final answer should be 9.6, or you can leave it in fraction form as 48/5.
Hope this helps!
x3 - 5x2 + 9x - 45 = 0
It is a polynomial of degree three, therefore, it has three roots.
For this case, what we can do is factorize to write the polynomial in an easier way and thus be able to find the roots.
Factoring we have:
(x - 5) (x ^ 2 + 9) = 0
x = 5
x = 3i
x = -3i
Answer:
three roots:
x = 5
x = 3i
x = -3i
