Answer:
See the second attachment for long division by hand. The first attachment shows the "work" I would usually do.
Step-by-step explanation:
In college math, you are generally expected to be able to make use of a scientific and/or graphing calculator. Division is one of the simpler operations these devices can perform.
If you are doing long division by hand, use the method you were taught in 3rd or 4th grade. The one shown is one of several different methods being taught now.
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answer is C
He made an error in Step 3. He should have subtracted 2 from both sides.
(1.2×10^2) + (3.04×10^5)
They must be to the same power to add
3.04 *10^5 to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2
1.2 * 10^2 + 3040 *10^2=
add the numbers keep the exponents the same
3041.2 * 10^2
there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent
3.0412 * 10 ^ (2+3)
3.0412 * 10^5
Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
