100x5=500
90x5= 450
8x5= 40now add
500+450+40=990
:) hope this helps
Answer:
The probability of rolling a 3 and then a 5 is 1/36.
Step-by-step explanation:
Rolling a six sided die is an independent event. That means for each roll, you have the same chance of rolling a number as the previous roll. Since there are six different numbers on a die, then there are six different outcomes for each roll - 1, 2, 3, 4, 5 or 6. The chances that you would roll a '3' is 1 out of 6, or 1/6. The chances that you would roll a '5' is also 1 out of 6, or 1/5. However, when we combine these events, we need to take each probability and multiply them. So, the probability of rolling a '3' and then a '5' is 1/6 x 1/6 or 1/36.
Use the formula A= height*base/2
Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.