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sveta [45]
3 years ago
14

Please help!!! 100 points!

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

Step-by-step explanation:

Since point B is located between A and C

then

AB + BC = AC

or, 3x-16 + 4x-8 = 60

or, 7x = 60 + 24

or, 7x = 84

x = 12

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The diameter of a circle is 24 feet. What
kupik [55]
<h3>Answer: Circumference is approximately 75.36 feet</h3>

=======================================================

Work Shown:

d = diameter = 24 ft

pi = 3.14 approx

C = circumference of circle

C = pi*d

C = 3.14*24

C = 75.36 feet

3 0
3 years ago
Which describes the median set of data
blagie [28]

In a set of data, to find the median you first have to order your data from greatest to least then find the center or (median) of your data. E is your answer.

3 0
3 years ago
What is the probability of the spinner landing on an odd number
Nadya [2.5K]

Answer:

1/50* 1/2  =0 .01

Step-by-step explanation:

First, the probability that the spinner lands on 20 is  

1 /50

, as 20 is one of the 50 numbers on the wheel, and each number has an equal probability of being selected.

Second, the probability that the spinner lands on an odd number is  

1/2

. This is because of the 50 numbers on the wheel, half are even and half are odd.

6 0
3 years ago
Read 2 more answers
For what value of c is the function defined below continuous on (-\infty,\infty)?
kozerog [31]
f(x)= \left \{ {{x^2-c^2,x \ \textless \  4} \atop {cx+20},x \geq 4} \right&#10;

It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if 
</span><span>\lim_{x \rightarrow 4} \  f(x) = f(4)

</span><span>In notation we write respectively
</span>\lim_{x \rightarrow 4-} f(x) \ \ \ \text{ and } \ \ \ \lim_{x \rightarrow 4+} f(x)

Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
</span>
On the other hand, for x < 4, f(x) = x^2 - c^2. Hence 
\lim_{x \rightarrow 4-} f(x) = \lim_{x \rightarrow 4-} (x^2 - c^2) = 16 - c^2

Thus these two limits, the one from above and below are equal if and only if
 4c + 20 = 16 - c²<span> 
 Or in other words, the limit as x --> 4 of f(x) exists if and only if
 4c + 20 = 16 - c</span>²

c^2+4c+4=0&#10;\\(c+2)^2=0&#10;\\c=-2

That is to say, if c = -2, f(x) is continuous at x = 4. 

Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers (-\infty, +\infty)

4 0
3 years ago
Find a ·
Svet_ta [14]
<span>a · b = |a| |b| cos(theta)
=|a| * 14 * cos(45)

</span>a · b |a| =3 
=>
|a| * 14 * cos(45) * |a| =3
|a| &sup2; =3/(14cos(45))
|a| = sqrt(3/(14cos(45)))
=0.63868 (approx.)

4 0
3 years ago
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