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Butoxors [25]
3 years ago
13

Determine whether angles with measures 47 ° and 53 ° are complementary. Explain why or why not.

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer: No

Step-by-step explanation: Complementary angles are those that add up to 90 degrees, 47 + 53 equals to 100.

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.
mojhsa [17]

Answer:

a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216

Step-by-step explanation:

Use formula

(u+v)^3=u^3+3u^2v+3uv^2+v^3.

Hence,

(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.

This expression is equal to

x^3-18x^2+24bx-c,

so we can equate the coefficients at powers of x:

x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.

6 0
4 years ago
I really don't understand Adding and Subtracting Fractions with unlike Denominators?
vazorg [7]

Answer:

answer is 9/16 (9 over 16) Decimal form 0.5625

Step-by-step explanation:

6 0
2 years ago
Question 1 a
Marizza181 [45]

Answer:

B) A one-sample t-test for population mean would be used.

Step-by-step explanation:

The complete question is shown in the image below.

The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.

The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.

Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.

If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.

Therefore, we can conclude that A one-sample t-test for population mean would be used.

4 0
3 years ago
What is the GCF of 88 and 36
ra1l [238]
The GCF of 88 and 36 is 4 because 22 × 4 = 88 and 9 × 4 = 36.
5 0
4 years ago
Plzz add an explanation for it too
DIA [1.3K]

Answer:

A     $0.02

Step-by-step explanation:

Let's solve how much does it cost to have a bulb on for an hour. ⇒ 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per ⇒ 0.1 kilowatt per hour* 0.20 = 0.02 dollars in an hour.

3 0
3 years ago
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