Diagonal of a rectangle formula:
Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.
Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.
a²
+ b² = c² ; where a and b represents the lengths of the triangle and c
is the hypothenuse. In this case, the lengths are 10 ft and 8ft.
10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
Answer:
11.34x + 9.45y = 141.75
y = (141.75 - 11.34x)/9.45
y = -1.2x + 15
Draw a straight line only in the first quadrant connecting these points:
(0,15)
(12.5,0)
Two numbers that add up to -19 and multiply to 48 are -16 and -3:
So, the solutions come from each parentheses: x+4=0, x-4=0, and x^2-3=0.
x+4=0
x = -4
x-4=0
x = 4
x^2-3=0
x^2 = 3
x = +/- √3
So, the solutions are -4, -√3, √3, and 4.
Answer:
the savings is 6000
Step-by-step explanation:
We are told that the ratio of savings to expenditure is 2: 8, that is, that person saves 2 when he spends 8.
They tell us to find the savings when the cost is 24,000, so we are left with:
24000 * 2/8 = 6000
which means that when 24000 are spent the savings is 6000
Answer: Inferential.
It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population.
If the results of a survey were claimed to indicate that 7.8% of adults in this country who own digital cameras plan to replace their cameras in the next 12 months. would you say this statement is descriptive or inferential, why?
Step-by-step explanation:
It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population. this claim requires an inference to the population. For example, you might stand in a mall and ask a sample of 200 people if they like shopping at ShopRite. You could make a bar chart of yes or no answers (that would be descriptive statistics) or you could use your research (and inferential statistics) to reason that around 50-75% of the population (all shoppers in malls) like shopping at ShopRite.
