Answer:
Step-by-step explanation:
both angles must add up to 180 so
6x+12+3x+63 must =180
= 9x+75
9x+75=180
-75 -75
9x=105
x=11.66
meaning A is approximately 81.96
Answer:
0.000036
Explanation:
When multiplying a number by 10 to the power of a positive exponent (e.g.
10
3
), move the decimal in the number that many spaces to the right (e.g.
4.5
⋅
10
3
=
4500
).
When multiplying a number by 10 to the power of a negative exponent (e.g.
10
−
4
), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.
4.5
⋅
10
−
4
=
0.00045
).
For
3.6
⋅
10
−
5
, move the decimal five spaces to the left:
0.000036
Step-by-step explanation:
Division of two quantities is expressed as the quotient of those two quantities.
The word quotient is derived from the Latin language. It is from the Latin word "quotiens" which means "how many times." A quotient is the answer to a divisional problem. A divisional problem describes how many times a number will go into another. The first time that this word was known to have been used in mathematics was around 1400 - 1500 AD in England.
There are two different ways to find the quotient of two numbers. One of them is through Fractions. The quotient of a fraction is the number obtained when the fraction is simplified. The other way to find a quotient is by employing the long division method where the quotient value is positioned above the divisor and dividend.
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
Removing the proportionality sign,
Where:
- K = constant of proportionality.
make K the subject of the equation:
- K = M/KT.................... Equation 1
From the question,
Given:
- M = 200 g
- A = 250 cm²
- T = 1 mm = 0.1 cm
Susbtitute into equation 1
- K = 200/(250×0.1)
- K = 8 g/cm³
Formula:
- M = 8AT................. equation 2
Hence the formula of the relation is M = 8AT
If,
- A = 400 cm²
- T = 3 mm = 0.3
Substitute these values into equation 2
Hence, the mass of the metal sheet is 960 g
Learn more about joint variation here: brainly.com/question/26047253
1 and 11/12 hours I think
