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2 years ago

The measure of angle θ 7pi/6 is . The measure of its reference angle is °, and sin θ is

2 answers:

6 0

<span>The reference angle is closest to the x-axis.
I will assume the above is 7pi/6. That would be a reference angle of pi/6, and the sin in the 3rd quadrant is negative, so the sin theta = - 0.5</span>

anygoal [31]2 years ago

3 0

Answer:

the correct answer for plato is

The measure of its reference angle is 30 °, and sin θ is -1/2

Step-by-step explanation:

You might be interested in

Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x

Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

$f(x) = (x - (7 + i)) (x - (5 - i))$

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

$f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))$

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

$f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48$

5 0

2 years ago

At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.

dybincka [34]

Answer:

$2.25

Step-by-step explanation:

Let "b" be the price of 1 brownie and "c" the price of 1 cookie.

At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,

3 b + 5 c = 11.00 [1]

His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,

1 b + 2 c = 3.95

b = 3.95 - 2c [2]

If we replace [2] in [1], we get

3 (3.95 - 2c) + 5 c = 11.00

11.85 - 6c + 5c = 11.00

c = 0.85

If we replace c = 0.85 in [2], we get

b = 3.95 - 2 (0.85) = 2.25

8 0

3 years ago

Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m

Alenkasestr [34]

Answer:

$- 2m^4 - 6m^2 + 4m + 9$

Step-by-step explanation:

Given

$4m - 2m^4 - 6m^2 + 9$

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

$- 2m^4 - 6m^2 + 4m + 9$

4 0

3 years ago

Read 2 more answers

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in

zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x----> is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

$x+y=50$ ----> equation A

She wants to spend $12 dollars total

$0.30x+0.15y=12$ ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

$15+15=30\ kg$

$30\ kg < 50\ kg$

Total spend is

$0.30(15)+0.15(15)=\$6.75$

$\$6.75$

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0

3 years ago

Read 2 more answers

Samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies

Veronika [31]

Answer:

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

3 0

2 years ago