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fomenos
2 years ago
10

75% of 32.2 is what number

Mathematics
1 answer:
Igoryamba2 years ago
4 0
The answer is 27 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
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What basic trigonometric identity would you use to verify that sinx cosx tanx=1-cos^2x
andre [41]

Answer:

sin^2x+cos^2x=1 is used to prove the given equation.

Step-by-step explanation:

We have given an equation:

sinx\cdot cosx\cdot tanx=1-cos^2x

We will consider right hand side first

tan x can be written as:

tanx=\frac{sinx}{cosx}

So, on substituting tan x in the left hand side of the given equation we get:

sinx\cdot cosx\cdot \frac{sinx}{cosx}

Cancel common term from denominator and numerator which is cosx we get

sin^2x

And we have an identity:

sin^2x+cos^2x=1

\Rightarrow sin^2x=1-cos^2x

Hence, right hand side is equal to sin^2x.


5 0
2 years ago
Read 2 more answers
a quantity of ethanol is cooled from 47.9° C to 12.3°C and releases 3.12 KJ of heat. what is the mass of the ethanol sample?​
victus00 [196]

Answer:

35.9 grams

Step-by-step explanation:

We use the formula:

q=m*C_p*\Delta T

Where

q is heat released

m is mass

C_p is the constant 2.44

ΔT is change in temperature

We put the info in the formula and solve for m (mass):

q=m*C_p*\Delta T\\-3.12 =  m*2.44(12.3-47.9)\\-3.12*10^3=m*(-86.864)\\m=35.9

The mass of ethanol is 35.9 grams

8 0
3 years ago
The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z
suter [353]
Hello : 
the normal vector of the plane is : d' = [4,-1,5]...(vector  perpendicular to the plane)<span>
d </span><span>⊥ d' because : (4)(2)+(-1)(3)+(5)(1)=0
</span>the line is perpendicular to the plane .
3 0
3 years ago
Please help thank you. i have 2 questions.
Alenkinab [10]
For the first one, the answer is 2. You can only fold it vertically and horizontally. For the second one, the answer is O because any way you turn it, it still looks like O. I hope this helps!
3 0
3 years ago
Read 2 more answers
​Hank's pickup can travel 80 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 64 ​miles?
mr_godi [17]

Answer:

4 gallons

Step-by-step explanation:

80/5 will give you 16 so for each gallon the car can move 16 milles

so 64/16 = 4 so he will need 4 gallons of gas in order make the trip

4 0
3 years ago
Read 2 more answers
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