Answer:
8 * 10^6
Step-by-step explanation:
The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;
A * 10^n
A is any integer between 1 and 10
n is any integer.
Given the value 8,406,000
8,406,000.
We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;
8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)
Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6
Answer:
X = 89.92° or 90.08°
Step-by-step explanation:
The law of sines can be used to find the value of angle X:
sin(X)/26 = sin(67.38°)/24
sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787
There are two values of X that have this sine:
X = arcsin(0.99999901787) ≈ 89.92°
X = 180° -arcsin(0.99999901787) ≈ 90.08°
There are two solutions: X = 89.92° or 90.08°.
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<em>Comment on the problem</em>
We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.
The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...
arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°
This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.
9 and 1/2 is the answer. We can find this by simply subtract 1 1/2 from 12.
