Answer:
12 cm²
Step-by-step explanation:
A= 1/2ah
h= 6*sin 30° = 6*1/2= 3 cm
A= 1/2*3*8= 12 cm²
In terms of numerical value, 10.6 is greater than 10.06.
Use the concept of place value defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The difference lies in the decimal places.
When comparing decimals:
Look at the value of each digit after the decimal point,
In this case:
Both numbers have the same whole number value of 10,
But the first decimal place in 10.06 is 0, whereas in 10.6 it is 6.
Since 6 is greater than 0, 10.06 is actually less than 10.6.
Hence,
The decimal number 10.6 is greater than 10.06.
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the base is 3x - 5, and the argument is 16
Answer:
x=3
Step-by-step explanation:
The given equation is
The relation between logarithmic function and exponential function is given by
On comparing, we get
b = 3x-5
y = 16
x = 2
Hence, using the relation, we have
Take square root both sides
On simplifying
For x = 1/3
Base cannot be negative.
Hence, the value of x is 3
The graph moves 8 units to the left.
The graph moves 8 units up.
The graph moves 8 units down.
2 3/12+3\? =2 5/8
2 3/12 +3/x = 2 5/8
simplify to
9x+12/4x = 21/8
Cross multiply
(9x+12)/(4x) = 21/8
(9x+12)*(8) = 21*4x
72x+96 = 84x
Subtract 84 x from both side
72x+96 - 84x = 84x -84x
-12x+96 = 0
Subtract 96 from both sides
-12x+96-96 = 0-96
-12x = -96
Divide both sides by 12
-12x/-12 = -96/-12
x = 8
The missing value is 8
y = 3x + 2
Answer:
y = -1/3x +6
Step-by-step explanation:
You want the equation of the line through (3, 5)perpendicular to the line y = 3x +2.
The given equation is in slope-intercept form. This lets us identify its slope as 3.
y = mx + b . . . . . . line with slope m and y-intercept b
y = 3x +2 . . . . . . . line with slope 3 and y-intercept 2
The perpendicular line will have a slope that is the opposite reciprocal of this:
m = -1/3 . . . . slope of the perpendicular line
The equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
The equation for a line with slope -1/3 through point (3, 5) is ...
y -5 = -1/3(x -3)
Solving for y gives us ...
y = -1/3x +1 +5 . . . . . eliminate parentheses, add 5
y = -1/3x +6 . . . . . equation of the desired line
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