PLS HELP ASAP

Solve the following system of equations.
x + y = 3
2x + 2y = 6


A) (1.5, 1.5)

B) (0, 3)

C) infinite number of solutions

D) no solution

Step-by-step explanation:

2 things to remember :

1. the sum of all angles in a triangle is always 180°.

2. the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

triangle 1 :

angle B = 180 - 62.2 - 43.8 = 74°.

a/sin(62.2) = 15.8/sin(74)

a = 15.8 × sin(62.2)/sin(74) = 14.53961961... in

c/sin(43.8) = 15.8/sin(74)

c = 15.8 × sin(43.8)/sin(74) = 11.37657122... in

triangle 2 :

14.9/sin(49) = 11.6/sin(A)

sin(A) = 11.6 × sin(49)/14.9 = 0.587559136...

angle A = 35.98398776...° ≈ 36°

angle C = 180 - 49 - 35.98398776... = 95.01601224...° ≈

≈ 95°

c/sin(95) = 14.9/sin(49)

c = 14.9 × sin(95)/sin(49) = 19.66708505...

newly weds triangle :

let's call the 2 sides a and b (25 m and 30 m).

the angle between them is 60°.

here we should use the extended Pythagoras for general triangles :

c² = a² + b² - 2×a×b×cos(C)

with c being the side opposite to the angle C.

so, we have in our case

c² = 25² + 30² - 2×25×30×cos(60) = 625 + 900 - 750 =

= 775

c = sqrt(775) = sqrt(25×31) = 5×sqrt(31) = 27.83882181... m

the area of the triangle we get via Heron's formula :

s = (a+b+c)/2 = (25+30+c)/2 = 41.41941091...

area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(s(s-25)(s-30)(s-c)) =

= sqrt(105,468.75) = 324.7595264... m²

with Php 2000 per m² this would cost

324.7595264... × 2000 = Php 649,519.0528...

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

Answer: (6,-2)

Step-by-step explanation:

[tex]M'=(4+2, 3-5)=\boxed{(6,-2)}[/tex]

=52a−11b−7

Explanation:

10

a

−

8

b

−

2

4

a

3

b

5

Note:

a

m

a

n

=

a

m

−

n

Applying the above property to the exponents of

a

and

b

=

(

10

4

)

.

a

(

−

8

−

3

)

.

b

(

−

2

−

5

)

=

5

2

a

−

11

b

−

7

Answer:

circumference = 2 x PI x r= 2 x 3.14 x 30 = 60 PIthe area from x to y = 90 degrees so XPY would be 360 - 90 = 270 degrees or 3/4 of a full circleso XPY = 60 x 3/4 = 45 PI meters

Answer:

3

Step-by-step explanation:

a²+6.1²=6.8²

a²+37.21=46.24

-37.21 -37.21

a² = 9.03

a = √9.03

a = 3

Answer:

See below ....none of your answer choices  'fit'

Step-by-step explanation:

Break it into two pieces....a triangular prism and a square pyramid

prism volume = (area) * length

                      ( 1/2 base * height)     *  length  

     Use pythagorean theorem to find height of triangular prism = 12

                            1/2 * 12 * 9   * 21 = 1134 km^3

Pyramid volume = 1/3 base * height =

               =   1/3  *   (9*21)    *    7 = 441 km^3

Summed = 1575 km ^3          

Answer:

3/1/4

That's the expression represents Lena's speed in miles per hour

Answer:

adjacent

Step-by-step explanation:

you are lucky its only 83 degrees where you live

its over 90 where i live

Answer:

b.

Step-by-step explanation:

The inequality says that x is bigger than 5. The number line shows the arrow starting from 5 and going bigger. Therefore, that number line is correct.

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

To learn more about equilibrium, please check: https://brainly.com/question/26075805

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Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5

Answer:

9

Step-by-step explanation:

8+(9x1/3) /3

=8+3/3

=8+1

=9

Answer:

Step-by-step explanation:

[tex]f(x) = \dfrac{2}{3}x-4\\[/tex]

When x = 0  ;   f(x) = 0-4 = -4

When x = 3  ;

       [tex]\sf f(3) =\dfrac{2}{3}*3-4\\\\ = 2-4\\\\ f(3) = -2[/tex]

When x = 6,

           [tex]\sf f(6) = \dfrac{2}{3}*6-4\\\\ f(6) =2*2-4 = 4-4\\\\ f(6)= 0[/tex]

When x = -6;

         [tex]\sf f(-6) =\dfrac{2}{3}*(-6)-4\\\\[/tex]

                   = 2*(-2)-4

                   = -4 - 4

          f(-6) = -8

Answer:

5(7+3)

Step-by-step explanation:

Because 7+3=10 and 10x5=50. And also 35+15=50 so 50 and 50

Hey there!

35 + 15

= 50

Option A.

7(5 + 2)

= 7(5) + 7(2)

= 35 + 14

= 49

49 ≠ 50

Option B.
5(6 + 3)

= 5(6) + 5(3)

= 30 + 15

= 45

45 ≠ 50

Option C.

5(7 + 3)

= 5(7) + 5(3)

= 35 + 15

= 50

50 = 50

Option D.
7(5 + 3)

= 7(5) + 7(3)

= 35 + 21

= 56

56 ≠ 50

Therefore, the answer should be:

Option C. 5(7 + 3)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45

Answer:

B

Step-by-step explanation:

B is the answer to your question

Answer:

2,592,100 m³

Step-by-step explanation:

Volume of Square Pyramid

Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.

Answer:

Hello the answer would be A units up because my caluaitons Sense that it is A

Answer:

d.  0.71 percentage points

Step-by-step explanation:

13.62 % is .1362 in decimal

  quarterly period compounding makes periodic (quarterly) interes rate

         = .1362/4 = .03405 per period

  FOUR periods in a year

    (1+ .03405)^4 = 1.1433  

            which means effective interest is .1433  or 14.33 %

14.33 - 13.62 = .7115 percentage points difference

Answer:

8:15 am.

Step-by-step explanation:

So the starting time will be 50 minites before 9:05 am.

That will be 9:05 - 50

=  9:00 - 45

= 8:15 am.

Answer:

y=4

Step-by-step explanation:

steps

3×9+4y=43

4y=43-27

4y=16

Divide both side by 4

4y/4=16/4

y=4

The 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's assume the exponential growth is:

[tex]\rm y = Ae^{rt}[/tex]

From the problem:

[tex]\rm 130 = 20e^{5r}[/tex]

[tex]\rm e^{5r}= 6.5[/tex]

Taking ln both side:

We get:

r = 0.374

[tex]\rm 5000 = 20e^{0.374t}[/tex]

After solving, we get:

t = 14.76 ≈ 15 years

Thus, the 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

Learn more about the exponential function here:

brainly.com/question/11487261

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Answer:

A^d

Step-by-step explanation:

Answer:

D. reference a question in well-known literature and provide an answer.

Step-by-step explanation: