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Aloiza [94]
2 years ago
10

1 + cot^2 x is equivalent to

Mathematics
1 answer:
zysi [14]2 years ago
6 0

Answer:

csc^2x

Step-by-step explanation:

It's a trig identity where 1+cot^2x = csc^2x

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How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?
Ivanshal [37]

Answer:

The amount of water need to be added is 5 liters.

Step-by-step explanation:

Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.

Now find the amount of sugar syrup = 40% of 15

= 0.4 × 15

The amount of sugar syrup = 6 Liters

To dilute  30% we need to find amount of water to be added.

So,

30% of (15 + x) = 6

0.3 × (15 + x) = 6

4.5 + 0.3x = 6

0.3x = 6 - 4.5

0.3x = 1.5

Dividing both sides, by 0.3, we get

x = 5

So, the amount of water need to be added is 5 liters.

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3 years ago
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Andru [333]
The answer is 1 and 7/8, all you have to do is turn the 3/4 into eighths.
8 0
3 years ago
Which of the following algebraic expressions can be used to express the statement "three less than z squared?"
Citrus2011 [14]
"<span>z˄2 − 3" because x squared is z^2, and 3 less of it would mean to subtract it from 3</span>
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3 years ago
Probability is a measure of how likely an event is to occur. Match the probabilities below with each statement. 0, 0.01, 0.3, 0.
Andrews [41]

Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6

Step-by-step explanation:

Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1

A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!

a) 0 and 0.01 = The event is impossible, it would never occur.

b) 0.99 and 1 - The event is certain, it would always occur.

c) 0.3 - The event is highly unlikely, but it will occur once in a while.

d) 0.6 - The event will occur more often than not.

8 0
3 years ago
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Type the dimensions of a different shaped box that has the same volume
defon

Step-by-step explanation:

120ft³ = 3ft × 4ft × 10ft

120ft³ = 1ft × 1ft × 120ft

120ft³ = 2ft × 2ft × 30ft

120ft³ = 5ft × 3ft × 8ft

...

Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.

7 0
2 years ago
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