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grigory [225]
2 years ago
10

An identity thief watches someone enter a 4-digit PIN and manages to see the first two digits. If the thief tries guessing

Mathematics
1 answer:
Otrada [13]2 years ago
3 0

Answer:

100

Step-by-step explanation:

i dont know if im right though i hope this helps ^^

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
What does x equal????
avanturin [10]
34 minus 2X
34/2=2/2x
22=x
7 0
3 years ago
The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For F gallons of fuel distance traveled D miles can be given as:

D ∝ F

D=kF

where k is constant of proportionality.

The vehicle covers D=90 miles on F=5 gallons.

So

90=k(5)

Dividing both sides by 5.

\frac{90}{5}=\frac{k(5)}{5}

18=k

∴ k=18

When F=7 gallons

D=(18)(7)

D=126 miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0
2 years ago
What is 38 in denary in base 8
Naily [24]
First divide by 8:_

38 / 8 = 4  remainder 6

so its 46
4 0
3 years ago
The graph of y=f(x) is above. If f(−4)=k, what is the value of f(k)?
cupoosta [38]

Answer:

B

The answer is B, which is -1.5.

3 0
3 years ago
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