B. 118
C. 170
At least two of the lateral faces are congruent.
Each lateral face has the same height.
At least one of the faces has a whole number base or height.
Answer:
At least two of the lateral faces are congruent.
Step-by-step explanation:
Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.
hope this helps:)
Answer:
At least two of the lateral faces are congruent.
Step-by-step explanation:
Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.
hope this helps:)
B) if 56 students chose soccer as their favorite sport, find the number of students that chose baseball as their favorite sport.
Using ratios, we determine that out of 132 students, 96 chose soccer. If 56 students chose soccer, then 21 students chose baseball.
This question deals with the concept of ratios. The ratio of students who chose baseball to those who chose soccer is given as 3:8. This means that the total number of parts is 3 (for baseball) + 8 (for soccer) = 11.
A) If 132 students were surveyed, we can determine the number of students who chose soccer by first finding the value of each 'part' in the ratio. This is done by dividing the total number of students (132) by the total number of parts (11) which equals 12 students per 'part'. As soccer was chosen by 8 'parts' of students, the number of students is 8 * 12 = 96.
B) If 56 students chose soccer, represented by 8 'parts', then each 'part' corresponds to 56 / 8 = 7 students. The number of students who chose baseball, represented by 3 'parts', is then 3 * 7 = 21.
#SPJ11
A disk with a radius of cm costs US dollars(USD).
(a) Find an equation which links and . [3]
(b) Find, to the nearest USD, the cost of the disk that has a radius of
cm.
Answer:
(a) To find an equation that links the cost of the disk and its radius, we can use the given information that the cost is directly proportional to the cube of the radius. Let's denote the cost of the disk as C and the radius as r.
According to the given information, we can write:
C ∝ r^3
Since we are looking for an equation, we need to introduce a constant of proportionality. Let's call this constant k. Therefore, we can rewrite the equation as:
C = k * r^3
Now, we need to find the value of k. We are given that a disk with a radius of cm costs USD . Substituting these values into our equation, we get:
= k * (^3)
Simplifying further:
= k *
Now, we can solve for k by dividing both sides of the equation by :
k =
Therefore, our equation linking the cost of the disk (C) and its radius (r) is:
C = * r^3
(b) To find the cost of a disk with a radius of cm, we can substitute this value into our equation from part (a). Let's denote this cost as C1 and the radius as r1.
C1 = * (r1)^3
Substituting r1 = cm into the equation:
C1 = * (^3)
Calculating this expression will give us the cost of the disk to the nearest USD.
The answer to part (b) cannot be provided in this format as it requires specific numerical values for and r1. Please provide those values so that I can calculate and provide you with an accurate answer.
Step-by-step explanation:
Answer:
LCM = 1274
Step-by-step explanation:
98 = 2 × 7²
182 = 2 × 7 × 13
LCM(98 ; 182) = 2 × 72 × 13 = 1274
Answer: C
Step-by-step explanation: Since there are 5 teachers, you can only have 4/5 samples with the minimum age of 23, and one sample w/the next lowest minimum age of 34, because you can only have samples of 4 teachers at a time.