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Serhud [2]
3 years ago
8

What is the GCF of 28a^3 b and 16ab ? A)4ab B)4a3b C)28ab D)112a3b2

Mathematics
1 answer:
N76 [4]3 years ago
7 0
28a⁴b: 2 · 2 · 7 · a · a · a · a · b
 16ab: 2 · 2 · 2 · 2 · a · b

GCF(28a⁴b, 16ab) = 4ab

The answer is A.
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A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the
Amanda [17]

Answer:

The measure of the third arc is 150\°

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

42\°=\frac{1}{2}(x-y)

84\°=(x-y) ----> equation A

\frac{x}{y}=\frac{7}{3}

x=\frac{7}{3}y -----> equation B

Substitute equation B in equation A and solve for y

84\°=(\frac{7}{3}y-y)

84\°=(\frac{4}{3}y)

y=3*84\°/4=63\°

Find the value of x

x=\frac{7}{3}(63\°)=147\°

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

x+y+z=360\° -----> complete circle

substitute the values and solve for z

147\°+63\°+z=360\°

z=360\°-(147\°+63\°)=150\°

3 0
2 years ago
ravis gas tank is 1/2 full .after he buys 2 gallons of gas it is 2/3 full how many gallons can ravis tank hold?
aliya0001 [1]
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

8 0
3 years ago
Assume that we are interested in the average length of 1015 fishes in Square Lake, WI. Also assume that all information for all
zimovet [89]

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

8 0
3 years ago
What is the mean of 13,6,8,6,15
Luden [163]

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!

4 0
2 years ago
Read 2 more answers
• Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.
dezoksy [38]
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
6 0
3 years ago
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