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2 years ago

Supplementary angles are those whose measurements add up to 90 degrees True or False

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

8 0

Answer: No

Step-by-step explanation:

Complementary means angles add up to 90 degrees.

Supplementary means angles add up to 180 degrees.

Since Supplementary doesn't add up to 180 degrees, the answer is false.

Papessa [141]2 years ago

4 0

Is false..... false

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Which relation is a function?

Luden [163]

A relation is <em>not</em> a function if it has repeated "x" values.

A. (3, _) repeats

B. is a function

C. (5, _) repeats

D. (-4, _) repeats

8 0

3 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

3 years ago

An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each

Schach [20]

Answer:

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is $14,000.

Step-by-step explanation:

Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.

To find : The mean and standard deviation of the total payments she will receive ?

Solution :

Let 'x' represent total sales of the book.

Let 'y' represent the payment to the author.

According to question,

The mean of the total payments she will receive is given by,

$\mu_y=20,000+3.50\mu_x$

Where, $\mu_x=17,000$

Substitute in the equation,

$\mu_y=20000+3.50\times 17000$

$\mu_y=20000+59500$

$\mu_y=79500$

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is given by,

$\sigma_y=|3.50|\sigma_x$

Where, $\sigma_x=4,000$

Substitute in the equation,

$\sigma_y=|3.50|\times 4000$

$\sigma_y=14000$

The standard deviation of the total payments she will receive is $14,000.

7 0

3 years ago

If tan theta = 12/5 and cos theta < 0, what is sin theta ?

Talja [164]

1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0

3 years ago

Patti is using beads to make anklets. Each anklet needs 9 beads, and Patti has 67 beads. How many of her beads will not be used?

Andreyy89

Answer:

Step-by-step explanation:

she can use all 63 beads because 67 divided by 9 is 7 remainder 4

8 0

3 years ago

Read 2 more answers