Answer:
<h2>a) 10⁶metres</h2><h2>b) 10¹⁸metres</h2>
Step-by-step explanation:
Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;
a) The product of one terameter and one micrometer will be expressed as;
10¹² * 10⁻⁶
Since the both have the same base, we will add their power according to one of the law in indices as shown
10¹² * 10⁻⁶ = 10⁻⁶⁺¹²
= 10⁶metres
b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;
Note that when taking the quotient, the power are subtracted
Answer:
24 practices in 9 weeks
Step-by-step explanation:
Rate = 8 times / 3 weeks
8 times / 3 weeks * 9 weeks = 24 times
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.
Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:
-The sides given are 10and 17 and the right angle 90°
Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°
Hence, the measure of w is 36.87°
