Answer:
1224 cm^3
Step-by-step explanation:
The shape of the box is a rectangular prism.
The volume of a rectangular prism is given by the formula below.
volume = length * width * height
volume = 10.2 cm * 15 cm * 8 cm
volume = 1224 cm^3
Answer:
mBCD = 28°
Step-by-step explanation:
The angle mBFD inscribes the arc mBD, so we have that:
mBFD = mBD/2
76 = mBD/2
mBD = 152°
The angle mBOD is a central angle related to the arc mBD, so we have that:
mBOD = mBD = 152°
In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.
So, we have that:
mBOD + mCDO + mBCD + mCBO = 360
152 + 90 + mBCD + 90 = 360
mBCD = 360 - 90 - 90 - 152
mBCD = 28°
For this case what we can do is the following rule of three:
24.3 -----> 130%
x ---------> 100%
We clear the value of x:
x = (100/130) * (24.3)
x = 18.7 grams
Answer:
the current mass of the object was:
x = 18.7 grams
Answer:
The product rule of probability tells that to determine the chances of independent events, such as the likelihood of inheriting a certain allele, probabilities are multiplied
Step-by-step explanation:
The product rule of probability states that the probability of independent events occurring together can be gotten by multiplying the probability of each event occurring alone.
The product rule is given as P(A*B) = P(A) *P(B). Where A and B are two independent events. For example when picking cards from a deck of 52 cards, the probability of getting an ace is 4/52 = 1/13 (because there are 4 aces in a deck of 52 cards) . The probability of picking a heart is 13/52 = 1/4. Therefore the probability of picking the ace of hearts is 1/4*1/13 =1/52.
Answer: A for paragraph one, b for 2, c for the second three
Step-by-step explanation: