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QveST [7]
3 years ago
6

Triangle HKJ is inscribed in the circle as shown. If the triangle is a right triangle, what can you conclude about HJ?

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

HJ is diameter.

Step-by-step explanation:

Given Triangle HKJ is inscribed in the circle. we have to conclude about HJ if the triangle is a right triangle.

All the three sides are chord of the circle.

As given HKJ is right angled triangle i.e∠HKJ=90° and angle subtended by diameter in the semicircle is 90° implies HJ is diameter because if the HJ moves towards the angle then the given angle becomes acute and if moves away from the angle then the angle becomes obtuse which contradict the given information.

hence, the only possibility about the line HJ is that it is a diameter.


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A Family purchased tickets to the movies in spent a total of $40.75. The family purchase five tickets there was a $.90 processi
muminat

Answer:

$7.25

Step-by-step explanation:

Total amount spent on the ticket   = $40.75

Number of ticket purchased  = 5

Processing fee per ticket  = $0.90

Unknown:

Cost of each ticket = ?

Solution:

To solve this problem, we need to find the processing fee for the 5 tickets purchase;

      Processing fee = number ticket x processing fee per ticket

      Processing fee  = 5 x 0.9  = $4.5

Now, the real cost a ticket = $40.75  - $4.5  = $36.25

So, cost per ticket is;

        Cost  = \frac{36.25}{5}   = $7.25

7 0
3 years ago
Find the inverse of f(x)=1/(x^3)
Pepsi [2]

Answer:

Step-by-step explanation:

yf(x)^{-1}  = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}

4 0
3 years ago
An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minu
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Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3

So, it will circulate 11.85 cubic yard of air per minute.

5 0
3 years ago
Please help me with this!!
34kurt

Answer:

36

Step-by-step explanation:

Think of the unknown sized side as a half of 12 and multiply them together when your triangle is obtuse like that. and split the answer from 6 times 12.

I hope this helped you!

6 0
3 years ago
Can somebody please answer all of these questions and only if u know how to do this!!! Thanks
aliina [53]

Hi again I helped you on your last question, I love helping people. Anyway here's the answer!

16. 0.188 rounded nearest hundredth = 0.19

17.  0.455 rounded nearest hundredth = 0.46

18. 0.538 rounded nearest hundredth = 0.54

19. 0.417 rounded nearest hundredth = 0.42

20. 2.833 rounded nearest hundredth = 2.83

21. 3.667 rounded nearest hundredth = 3.67

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3 years ago
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