Answer:
14x7=98
Step-by-step explanation:
First you see the line going down and there is the height 7 you can move that tiny triangle to the left where the parallelogram can be made into a rectangle.
all you need is to multiply base x height
base 14cm height 7cm pls brainliest
hope this helps!
Answer:
1296√3 cubic units
Step-by-step explanation:
The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.
The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...
B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units
The volume of the prism is then ...
V = Bh = (108√3)(12) = 1296√3 . . . cubic units
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<em>Comment on the geometry</em>
The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.
Answer: 85
Add up all the numbers: 97+70+89+99+100+78+79+89+77+72=850
Divide 850 by the amount of numbers:
850/10=85
I hope this helps and good luck! :)
Answer:
the probability that Ron will get hit by a pitch exactly once is 36.71%
Step-by-step explanation:
The random variable X= number of times Ron is hits by pitches in 23 plate appearances follows ,a binomial distribution. Where
P(X=x) = n!/(x!*(n-x)!)*p^x*(1-p)^x
where
n= plate appearances =23
p= probability of being hit by pitches = 21/602
x= number of successes=1
then replacing values
P(X=1) = 0.3671 (36.71%)
Answer: 8 grams
Step-by-step explanation:
We have two units of mass: grams and milligrams
The prescription has 3 grams of compound with 5,000 milligrams of solution.
To know how many grams in total there are in the mixture we must convert
5000 milligrams to grams.
By definition in 1 gram there are 1000 mg.
Then we perform the following operation
Then the total amount of grams in the prescription is:
