Solve the system: 8x + 2y = 16 and x = y + 2 *

Answer:

56.7

Step-by-step explanation:

Hello There!

Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

Answer:

56.7

Step-by-step explanation:

Answer:

[tex]h = 4\sqrt{3}[/tex]

Step-by-step explanation:

If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8

Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4

So we have [tex]h^2 + 4^2 = 8^2[/tex]

[tex]h^2 = 48[/tex]

[tex]h = 4\sqrt{3}[/tex]

Answer:

The cost can be 15,000 and anything below that

Answer:

Step-by-step explanation:

Sum = -7

Product = 12

Factors = (-3) ; (-4)   { (-3) * (-4) = 12  and (-3) + (-4) = -7}

a² - 7a + 12 = a² -3a    - 4a + (-3)(-4)

                 = a(a - 3) - 4(a - 3)

                 = (a - 3)(a - 4)

Answer:

n/-10=-120

n=1200

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

Answer:x≥−5

Step-by-step explanation:

Answer:

4/21

Step-by-step explanation:

since we are only talking about the first day, there are still 21 options for your teachers. there are 4 spots that you can fill, so the probability that you will be picked is 4/21

The probability you will be chosen to go on the first day would be; 4/21

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

We are given that there are 21 students in your class. The teacher wants to send 4 students to the library each day.

Since we are only talking about the first day, there are still 21 options for your teachers.

As we can see that there are 4 spots that you can fill, so the probability that you will be picked is;

4/21

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

Yes you could afford it

Step-by-step explanation:

Answer

yes.

Step-by-step explanation:

45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.

Proportion women /men = 2/7 = x/490 7x= 2· 490 :7

X = 2·70 = 140

Answer:

The height is 3.625ft.

Step-by-step explanation:

0.5x8xa=14.5

4a=14.5

a=14.5/4=3.625

Answer:

4.95 mL

Step-by-step explanation:

Since we have 400 mg/m² of gemcitabine for a patient whose BSA is 0.47 m², the mass of drug required for the patient is thus m = 400 mg/m² × 0.47 m² = 188 mg.

Also, since 200 mg vial of gemcitabine for injection that contains 38 mg per mL, so the concentration of gemcitabine is 38 mg/mL.

Since concentration = mass/volume, and

volume = mass/concentration,

the volume of gemcitabine injection required is

V = mass of gemcitabine/concentration of gemcitabine in injection

V = 188 mg/38 mg/mL

V = 4.95 mL

Answer:

f (x) = 4

f (x) = radical 3x-4

f (x) = 3/5x

Step-by-step explanation:

Hope this helped you.

Have a beautiful day!!

Answer:

Divide  172.75 by 348.79

Step-by-step explanation:

Answer:

58.68

Step-by-step explanation:

348.79- 172.75=176.04

176.04/3= 58.68

Answer:

(4b-5)^2

Step-by-step explanation:

I am assuming it's asking this? I'm not too sure.

Answer:

[tex](4b - 5 {)}^{2} [/tex]

Step-by-step explanation:

1) Rewrite it in the form a² - 2ab + b², where a = 4b and b=5.

[tex](4b)^{2} - 2(4b)(5) + {5}^{2} [/tex]

2) Use square of Difference: (a - b)² = a² - 2ab + b².

[tex](4b - 5)^{2} [/tex]

Therefor, the answer is ( 4b - 5)².

Answer:

x = 7

Step-by-step explanation:

3x+2x=7x

Answer: c·1.5=3.6

Step-by-step explanation:

Answer:57ft

Step-by-step explanation:

104 divided by 2+ 5=57ft

yeah Sure I Have Captured your solution In Image. hope you understand it

Answer:

Step-by-step explanation:

A straight line from the center to the circumference of a circle or sphere.

Answer:

-153

Step-by-step explanation:

3-135-21

-132-21

-153

Answer:

I got -78

please i dont understand this

Hope that helps!! :)

Proably not though sorry

Bye bye have a great day <3

Answer:

150-50/6-2

100/4

25

Step-by-step explanation:

25 soda bottles the machine can make per minute.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

We have to use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make per minute.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

x₁=2, y₁=50, x₂=6, y₂=150

substitute in slope formula

Number of soda bottles=slope=150-50/6-2

=100/4

=25

Hence 25 soda bottles the machine can make per minute.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

my guess is 2,3, and 1.

Step-by-step explanation:

in the ending it's always a finish of "definition of something"

After the given is always the substitution

and the angles forming a linear pair sum to 180 is after the substitution because you're now solving it.

maybe wrong but thats what i think the answer is.  

Answer:

Answer:Option B will be your answer

Step-by-step explanation:

hope it helps

have a nice day!!

Answer: D= csc theta

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.  

6

Answer:

x = 10

Step-by-step explanation:

[tex]6^{2} + 8^2 = x ^2[/tex]

Solve for x and you get x = 10

Answer:

x=14

Step-by-step explanation:

I can simplify the math terms ;)

So basically 6 and 8 are the lengths of the shorter sides of the triangle, the triangle has three sides and the longest side is always called the hypotenuse, the hypotenuse is the sum of the lengths of the shorter sides. So 6+8=x

6+8=14 <-- That's your answer :)

Can I have brainliest?

Hope this helps!