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Debora [2.8K]
4 years ago
6

Use the relationship between the angles in the figure to answer the question.

Mathematics
1 answer:
Nookie1986 [14]4 years ago
3 0

Answer:

x = 180 - 77.

Step-by-step explanation:

The angle which is vertical to x  = 180 - (28 + 49).

So x = 180 - 77.

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Does (lnk)/(k^3), where as k starts at one and continues on to infinity, converge? ...?
max2010maxim [7]
Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.
7 0
3 years ago
A function is given. h(t) = t2 + 3t; t = −1, t = 2
Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function f(x) over the interval a\leq x\leq b is given by this expression:

average rate of change =  \frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

h(t)=t^2+3t\\\\t=-1\\t=2

(a) To find the net change of the function, first we calculate the values of h(2) and h(-1)

h(-1)=(-1)^2+3(-1)=-2\\\\h(2)=(2)^2+3(2)=10

The net change is simply the difference

h(2)-h(-1)=10-(-2)=12

(b) The average rate of change takes the net change and divides it by the change in the t value.

\frac{12}{2-(-1)} =\frac{12}{3}=4

5 0
3 years ago
Read 2 more answers
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?
omeli [17]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
ty rode his trail bike for 4.5 hours. his average speed was 12 miles per hour. how many miles did he ride?
Viefleur [7K]
Hey there!


Ty rode is bike 54 miles.

Work:
4.5 x 12


Hope this helps!
5 0
3 years ago
Read 2 more answers
What is 0.00340.78 correct to 3 significant figures? explain your answer
timurjin [86]
What is 0.00340.78 correct to 3 significant figures?

a significant fugure is when the number lean solething ,so its can anyone except 0


so if we are reducing 0.00340.78 to 3 significant number

first we have to look for the significant nulber ,which are 3,4,7,8


so the answer can be 0.0034.7


hopefully this helps
7 0
3 years ago
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