Answer:
1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 803,000,000New Number: 8.03000000Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.03000000Decimal Count:12345678
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.03 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
8.03 x 108
Step 4
Check your work:
108 = 100,000,000 x 8.03 = 803,000,000
Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
Answer:
5 times
Step-by-step explanation:
Given that the probability of a 2 is
then number of times a 2 will be rolled is
30 ×
= 5
Answer:
a is 2.5
b is 1
gradient is rise over run