Calculate the area of the triangle:
A=

(-2, 6)
(-2, 0)
(7,-5)

Helppp ASAP

The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The rectangular form of 17(cos(315°) + isin(315°)).

We know that the value of cos 315° and sin 315°.

[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]

Then the value of the expression will be

⇒ 17[(1/√2) – (1/√2)i]

⇒ (17√2 / 2) – (17√2 / 2)i

Then the correct option is A.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 + (-5)= 2

Answer:

3.91

Step-by-step explanation:

It is given that,

John uses [tex]1\dfrac{2}{3}[/tex] cups of milk to make a sauce recipe, and then uses [tex]2\dfrac{1}{4}[/tex] cups of milk to make a cake recipe.

We need to find how much milk did he use in total to make the two recipes. It can be calculated by simply adding  [tex]1\dfrac{2}{3}[/tex] cups of milk and  [tex]2\dfrac{1}{4}[/tex] cups of milk. So,

[tex]T=1\dfrac{2}{3}+2\dfrac{1}{4}\\\\=\dfrac{5}{3}+\dfrac{9}{4}\\\\=3.91[/tex]

So, she will need 3.91 units of milk to make the two recipes.

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

That the standard notation usually took the form of an inverse:

For example;

Let say 10⁻¹ will be [tex]\dfrac{1}{10}[/tex] in scientific notation;

SO, [tex]\dfrac{1}{10} = 0.1[/tex]

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

[tex]10^{-10} = \dfrac{1}{100}[/tex]

= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

Answer:

(x-rooot1)(x-root2)

Step-by-step explanation:

a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis

(x-rooot1) (x-root2)=0

and you can find the roots by making each parenthesis equal to 0 because of the zero product rule

x-root1 = 0, x=root1

x-root2 =0, x=root2

Answer:

27976000

Step-by-step explanation:

1.04 x 10^5=104000, and  2.808 x 10^7=28080000

28080000-104000=27976000

that's what I think, did this help

Answer:

$93.8

Step-by-step explanation:

(*markup is an increase in price)

67 + ( 40% × 67 )

= 67 + ( 40/100 × 67/1 )

= 67 + 26.8

= 93.8

......................................................................................

Answer:

Remainder → (76)

Step-by-step explanation:

Given function;

f(x) = x² - 5

f(x) = x² + 0.x - 5

We have to divide this function by expression (x + 9).

x + 9) x² + 0.x - 5 (x - 9

        x² + 9x

             - 9x - 5  

             - 9x - 81

                      76

Therefore, by dividing the function 'f' by (x + 9) remainder is (76).

Answer:

'The difference between six, and a number divided by four is sixteen' will be translated into an equation such as:

Step-by-step explanation:

Let 'n' be the number

The difference between six and a number 'n' is written in an algebraic expression such as:

[tex]6 - x[/tex]

Dividing 6-x by 4 will become:

so the sentence the difference between six, and a number divided by four is sixteen will become:

Therefore, 'The difference between six, and a number divided by four is sixteen' will be translated into an equation such as:

Answer:

22.72

Step-by-step explanation:

45.45 divided by 2 is 22.725

Answer:

$14.23

Step-by-step explanation:

$45.45 - $16.99 ( pants ) = $28.46

$28.46 / 2 (since 2 shirts)

$14.23 for both shirts!

Answer:

25500

Step-by-step explanation:

15% of 30000 is (multiply 30000 by .15 to get this) 4500

Subtract 4500 from 30000 and you got the answer

The sum would end us as: 2.33333333

Answer:

Step-by-step explanation:

step 1: 4+ -1 2/3

Step 2: 4-1 2/3

Step 3 12/3- 5/3 common denominator required during addition or subtraction

Step 4: 7/3 or 2 1/3 simplify

Answer:

Problem 4 If the point (2, 2) is in the feasible set and the vertices of the feasible sct are (0,0), (0, 12). (6,18). (14, 16), and (18, 0), then determine the system of linear inequalities that created the feasible set. Show all the work that led you to you answer. (10 points) Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the year, Jack was laid off. To help mect family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years (after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)

Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the 8th year, Jack was laid off. To help meet family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)

Answer:

3

Step-by-step explanation:

We can recognize this equation as a linear equation, which is given by the following formula:

[tex]y=mx-b[/tex], where m is the slope and b is the y-intercept.

Thus, we see that 3 is the slope, and 9 is the y-intercept.

Answer:

7 1/2 teaspoons of vanilla

Step-by-step explanation:

From the above question,

The whipped cream for 1 pie contains

1 1/4 teaspoon of vanilla

Hence:

1 pie = 1 1/4 teaspoon of vanilla

6 pies = x

Cross Multiply

x = 6 × 1 1/4

x = 6 × 5/4

x = 30/4

x = 7 2/4

x = 7 1/2 teaspoons of vanilla

Hence: If K makes 6 pies and covers them with whipped cream, he would be needing 7 1/2 teaspoons of vanilla

Answer:

[tex]14z+8[/tex]

Step-by-step explanation:

[tex]2(7z+4)\\\\\boxed{14z+8}\\\\\left \{ {{2*7z=14z} \atop {2*4=8}} \right.[/tex]

Hope this helps.

Answer:

What is the problem so we can help you

Using the equation given, F = 15 + 32 which equals 47, so I don't see how any of the choices are accurate, but if I had used the proper equation, I would get 59 Farenheit or answer D!

Hope this helps, if not, comment below please!!!

Answer:

-431

Step-by-step explanation:

4-5=-1   -1-5= -6 common difference is -5 and start at 4 to get 88th term which is -431

Answer:

so in total, I believe that it would be.......65?

Step-by-step explanation:

well 45/9=5 and so you would have to multiply 4x5 and get 20

Answer:

the answer is 2

Step-by-step explanation:

this was a question on my test on khan academy :D

Answer:

[tex]Sleeping = 10[/tex]

[tex]Eating = 5[/tex]

[tex]Hiding =25[/tex]

Step-by-step explanation:

Given

[tex]Turkey = 40[/tex]

[tex]Sleeping = \frac{1}{4}[/tex]

[tex]Eating = \frac{1}{8}[/tex]

[tex]Hiding = \frac{5}{8}[/tex]

Required

Determine the number in each category

To solve this, we simply multiply each fraction by the total number of turkey:

[tex]Sleeping = \frac{1}{4} * 40[/tex]

[tex]Sleeping = \frac{40}{4}[/tex]

[tex]Sleeping = 10[/tex]

[tex]Eating = \frac{1}{8} * 40[/tex]

[tex]Eating = \frac{40}{8}[/tex]

[tex]Eating = 5[/tex]

[tex]Hiding = \frac{5}{8} * 40[/tex]

[tex]Hiding = \frac{200}{8}[/tex]

[tex]Hiding =25[/tex]

Answer:

0.6763154335

Step-by-step explanation:

because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.

The correct answer is 9 or option D:)

bro this is eazy if i get it right give me brainliest

Answer: 9

Answer:

So her height would be 84

Step-by-step explanation:

Answer:

C=25n+4300

Step-by-step explanation:

Given that,

Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.

We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.

Here, m will be cost for each toy and b is the cost to develop each toy. So,

C=25n+4300

Hence, this is the required solution.

Answer

i'm not sure 2?'??????????