The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
From the figure:
Volume = 2500 cubic ft
(10)(x)(25) = 2500
250x = 2500
x = 10 ft
Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
Learn more about the rectangular prism here:
brainly.com/question/21308574
#SPJ1
In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),
Where
Thus,
thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,
Thus, from the theorem of similar triangles,
solving for y, we have
thus, YC = 10.
Answer:
Tests is 100% Accurate, so by using the formula of random variable probability.
Step-by-step explanation:
Total number of people = 10
Sample space = p(A) = 10
Number of people that have flu = n(s) = 4
Pick random 3 persons, the possibility that they have flue is n(A) = ?
Let X is the random variable, consisting of number of positive flu test,
Tests is 100% Accurate, so by using the formula of random variable probability, we get
P(X) = n (A) / n(S)
P(X) = ¾, is the probability of having positive flu test
"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"
