Answer:
Volume of cube = 2.33 cubic feet
Length of side of cube = 1.325 feet
Step-by-step explanation:
Given
Weight of each sphere = 350 pounds
Density of each concrete = 150 pounds per cubic foot
Volume of cube = 350 pounds / 150 pounds per cubic foot
Volume of cube = 350/150 cubic feet
Volume of cube = 2.33 cubic feet
Length of side of cube = Cubic root of 2.33
Length of side of cube = 1.325 feet
Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
Answer:
c
Step-by-step explanation:
Aight, let's hop to it:
So we got
and boom
1000
Step-by-step explanation:
Find the height of the triangle using the Pythagoras theorem
Then, use it to calculate the area of the triangle
Answer:
(a)High school students in the United States.
(b)100 Students
(c)Statistic
Step-by-step explanation:
(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.
(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.
In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.
(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.
Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>