Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5

Answer:

○ [tex]\displaystyle 12,9[/tex]

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]

Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]

Let us get to wourk:

[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]

I am joyous to assist you at any time.

The measure of angle A in the kite before cutting the fabric is 42 degrees.

A kite is a quadrilateral with four sides and four angles. Adjacent sides are equal, and the diagonals bisect each other at 90 degrees.

Also, there is a pair of equal opposite angles.

From the diagram:

110 + (6x + 4) + (4x + 26) = 180 (sum of angles in a straight line)

10x + 30 = 70

x = 4

∠A = 4(4) + 26 = 42°

The measure of angle A in the kite before cutting the fabric is 42 degrees.

Find out more on kite at: https://brainly.com/question/386327

Answer:

The area, in square inches, of the entire trapezoidal rear window is 882 square inches.

A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Area of a trapezoid =  0.5 x (36 + 48) x 21 = 882

To learn more about trapezoids, please check: https://brainly.com/question/25748893

Answer:

14,464

Step-by-step explanation:

16,000 - 20% = 12,800

12,800 + 13% = 14,464

I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)

Answer:

A) 3

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

24 = 24

Answer:

-5°C

Step-by-step explanation:

Let T1 be the temperature at the start of the experiment.

We know, T1 = 10°C

Rate of decrease in temperature = 3°C per minute.

Total temperature decreased after 5 minutes (T2) = (3*5)°C

= 15°C

The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C

Answer:

45

Step-by-step explanation:

The direct variation that of the speed to the skid length implies that the speed increases as the length increases

The car would be traveling at 59.96 mph

A direct variation that illustrates the speed of the skidding car is:

s = k√l

Where:

Make k the subject in s = k√l

k = s /√l

Rewrite as:

s₁ /√l₁ = s₂ /√l₂

Substitute known values

40 /√178 = s₂ /√400

Evaluate the square root of 40

40 /√178 = s₂ /20

Multiply both sides by 20

800 /√178 = s₂

Evaluate the quotient

s₂ = 59.96

Hence, the car would be traveling at 59.96 mph

Read more about direct variation at:

https://brainly.com/question/6974617

Answer:

62.86

Step-by-step explanation:

Add the cost of things without sales tax:

32.5+ (13×2)=58.5

Convert percent to decimal:

8/100=0.08

Multiply cost without sales tax by sales tax to get the amount added to the cost:

0.08×58.2=4.656

Add cost and sales tax amount to get total payment:

4.656+58.5=62.856

Round the total payment to the nearest hundredth place:

62.86

Answer:

the first one And the first one only

Step-by-step explanation:

supplementary angles are angles that add up to 180.

Hope this helps! :)

Answer:

52 cents :)

Step-by-step explanation:

Nickel: 5 cents

Penny: 1 cent

5 x 8 = 40

12 x 1 = 12

40 + 12 = 52

Have an amazing day!!!

Please rate and mark brainliest!!

Answer:

72

Step-by-step explanation:

Answer: 12 animals 36 people , in total 48 its so easy just adding and multiplying :)

Step-by-step explanation:6 knights 6 squires =12,  then animals human people 6 time animals 2 is 12 animals then more humans 2 times 12 the horses is 24 in total add up humans 24+12=36 and animals is 12 so 36 people, and 12 animals in total 36+12 is 48

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 12.4 \times 18 \\ 6.2 \times 18 \\ 111.6 {cm}^{2} [/tex]

Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:

c) 10

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:

[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]

Which means that option C is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

Answer:

111.6 cm

Step-by-step explanation:

The area of a triangle can be calculated using the following formula:

Area = (base x height) / 2

Using this formula we can solve this problem in the following way:

Hope this helps!!

Answer:

answer 111.6 cm^2.......

This inequality says the following:-

-5>x

negative 5 is greater than x, which means x is less than -5:

x<-5

Now, Which values make this inequality true?

Since x is less than -5, then numbers less than -5 will make this inequality true.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

C

Step-by-step explanation:

If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400

Answer:

1 package contain 80 sheets of paper.

If there is 5 packages, there will be 'x' sheets of paper.

We replace the sheets of paper with 'x', because the value of x is unknown.

Now we set up the equation:

__________   _________ = _________, solve for x;

80/1 = x/5

*5        *5

400 = x

Answer:

635

Step-by-step explanation:

Answer:

45+40+45=55+60+90+30+55+35+60+45+75

Step-by-step explanation:

Its 505

Answer:

13%

Step-by-step explanation:

the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"

Answer:

and with the fractions and then divide the answer by 2.1

Step-by-step explanation:

The volume of the compartment shaped like this hexagonal prism is 29.4 cm³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a hexagonal prism = area of base * height

Hence:

Volume = 7.35 cm² * 4 cm = 29.4 cm³

The volume of the compartment shaped like this hexagonal prism is 29.4 cm³

Find out more on volume at: https://brainly.com/question/1972490

Answer:

The answer is 29.4 cm^3! The first user has it correct dont worry guys^_^

Step-by-step explanation:

I took the k12 4.12 Unit Test: Three-Dimensional Geometry - and got a 90% ^_^
Good luck with the rest of the questions! If you had question 4 "A minuture connector is shaped like a hexagonal prism. The prism has a base area of 8.15 cm^3. What is the volume of the compartment?"
Then your answer would be 32.6 cm^3

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

Answer:

a) 9am

b) 10am

c) 50 miles

d) 30 minutes

e) 11:30

f) 90 miles

Answer:

[tex]\huge\boxed{\sf y = 4 }[/tex]

Step-by-step explanation:

Given Equations:

x = 3 --------------------(1)

x + y = 7 ---------------(2)

Step 1: Substitute Eq. (1) in (2)

3 + y = 7

Step 2: Subtract 3 to both sides

y = 7 - 3

y = 4

[tex]\rule[225]{225}{2}[/tex]