Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
Plug in the values
Multiply both sides by 42
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
Plug in the values
Multiply both sides by 42
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
The machinist can produce 285 parts in 15 minutes. I know this because:
114 divided by 6 is 19. 19 multiplied by 15 is 285.
Answer:
0.0020760077
Step-by-step explanation:
The probability of drawing the first black card is 26/52 because there are 26 of them in a deck of 52.
The probability of drawing the second black card is 25/51 because there are 25 of them in a deck of 51.
The probability of drawing the third black card is 24/50 because there are 24 of them in a deck of 50.
And so on and so forth, now we just have to multiply the 8 fractions together:
26/52*25/51*24/50*23/49*22/48*21/47*20/46*19/45=
= 0.0020760077
All you have to do is write down as many passwords as she can make. Then count them, 718, 817, 781,871, 187, 178. You can make a total of 6 passwords
Answer:
Rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.
Step-by-step explanation:
Given that Cooper invested $ 3,100 in an account paying an interest rate of 2% compounded quarterly, while Robert invested $ 3,100 in an account paying an interest rate of 3% compounded continuously, to determine, after 12 years, how much more money would Robert have in his account than Cooper to the nearest dollar, the following calculation must be made:
Compound interest formula: Initial x (1 + interest / composition) ^ composition x years
Continuous compound interest formula: Initial x exp ^ (interest x years)
Cooper:
3,100 x (1 + 0.02 / 4) ^ 12x4 = X
3,100 x (1 + 0.005) ^ 48 = X
3,100 x 1,005 ^ 48 = X
3,100 x 1,270 = X
3,938.51 = X
Robert:
3,100 x 2.71828182845904 ^ (3x12) = X
4,443.32 = X
4,443.32 - 3,938.51 = X
504.51 = X
Therefore, rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.