Tan=24/10 ≈ 2.4
using Pythagoras theorem
x²=(24)²+(10)²
x²=576+100
x²=57600
x=√57600 => 240
Therefore
sina=24/240 => 0.1
cota=1/tana => 1/(24/10) => 10/24
Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have equation:
4(x + 5) = 9x + 4x − 34 (Given)
4x +20 = 9x + 4x − 34 (Distributive Property)
4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)
54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)
54 = 9x (Combine Like Terms)
x = 54/9 (Division Property of Equality)
x = 6
Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
Cost for 68 words = 148 naira
Step-by-step explanation:
Given that:
Cost of first ten words = 32 naira
Cost of additional words = 2 naira per word
Let,
x be the number of additional words.
y be the total cost
y = 2x + 32
We have to find the cost for 68 words.
The cost of first 10 words will be 32 naira.
Additional words = 68 - 10 = 58 words
Putting x = 58 in the equation
y = 2(58) + 32
y = 116 + 32
y = 148
Hence,
Cost for 68 words = 148 naira
