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Simora [160]
2 years ago
9

Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.

Mathematics
1 answer:
Gnoma [55]2 years ago
7 0
For the answer to the question above, I'll explain my answer through an equation below.
<span>5+10>x,x<15
5+x>10
x>10-5
or x>5
</span>So the answer is either multiple choice letter C. 6 or multiple choice letter D. 11

I hope my answer helped you. Have a nice day!
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18 less than 14 times a is 80
miss Akunina [59]

14a-18=80

14a=98

98/14 =a

a=7

3 0
3 years ago
What is the y-intercept of a line that has a slope of One-fourth and passes through point (8, 3)?
kondor19780726 [428]

Answer:

y-intercept is (0, 1)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
the earth rotates about its axis once every 23 hours, 56 minutes and 4 seconds. Approximate the number of radians the earth rota
marishachu [46]

Answer:

\frac{\pi}{43082}\text{ radians per second}

Step-by-step explanation:

Given,

Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.

Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,

⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds

= 86164  seconds,

Now,  the number of radians in one rotation = 2π,

That is, 86164 seconds = 2π radians

\implies 1\text{ second }=\frac{2\pi}{86164}=\frac{\pi}{43082}\text{ radians}

Hence, the number of radians in one second is \frac{\pi}{43082}

4 0
2 years ago
Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
2 years ago
Pls help me its for a grade
SVETLANKA909090 [29]

Answer:

D. -9

Step-by-step explanation:

5f - 6f = 9 \\  - f = 9 \\ f =  - 9

7 0
3 years ago
Read 2 more answers
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