What is the area of the parallelogram shown below?


A.
B.
C.
D.

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

----------------------------------------------------------------------

Question 1a

Given: A = 40°, B = 20°, a = 2

40° + 20° + C = 180°

⇒ C = 120°

[tex]\dfrac{2}{\sin 40}=\dfrac{b}{\sin 20}=\dfrac{c}{\sin 120}[/tex]

[tex]\implies b=\sin20 \cdot\dfrac{2}{\sin 40}=1.064177772...[/tex]

[tex]\implies c=\sin 120 \cdot \dfrac{2}{\sin 40}=2.694592711...[/tex]

----------------------------------------------------------------------

Question 2b

Given: A = 50°, C = 20°, a = 3

50° + 20° + B = 180°

⇒ B = 110°

[tex]\dfrac{3}{\sin 50}=\dfrac{b}{\sin 110}=\dfrac{c}{\sin 20}[/tex]

[tex]\implies b=\sin 110 \cdot\dfrac{3}{\sin 50}=3.680044791...[/tex]

[tex]\implies c=\sin 20 \cdot\dfrac{3}{\sin 50}=1.339426765...[/tex]

----------------------------------------------------------------------

Question 3c

Given: B = 70°, C = 10°, b = 5

70° + 10° + A = 180°

⇒ A = 100°

[tex]\dfrac{a}{\sin 100}=\dfrac{5}{\sin 70}=\dfrac{c}{\sin 10}[/tex]

[tex]\implies a=\sin 100 \cdot \dfrac{5}{\sin 70}=5.240052605...[/tex]

[tex]\implies c=\sin 10 \cdot \dfrac{5}{\sin 70}=0.9239626545...[/tex]

----------------------------------------------------------------------

Question 4d

Given: A = 70°, B = 60°, c = 4

70° + 60° + C = 180°

⇒ C = 50°

[tex]\dfrac{a}{\sin 70}=\dfrac{b}{\sin 60}=\dfrac{4}{\sin 50}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{4}{\sin 50}=4.906726388...[/tex]

[tex]\implies b=\sin 60 \cdot \dfrac{4}{\sin 50}=4.522063499...[/tex]

Answer:

5 cm

Step-by-step explanation:

Area of a circle: [tex]\pi r^{2}[/tex]  {r=radius}

[tex]\pi r^2=65.71cm2[/tex]

[tex]r^2=65.71/3.14[/tex] [tex](\pi =3.14)[/tex]

[tex]r^2=20.92[/tex]

[tex]r=\sqrt{20.92} =4.57cm[/tex]

[tex]r=4.57=5cm[/tex]

[tex]r=5cm[/tex]

[RevyBreeze]

Answer:

Step-by-step explanation:

Pls mark me brainly if I'm correct please, thanks C:

Answer:

-6 -4

Step-by-step explanation:

Answer:

the 3rd option

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y = - \frac{2}{3}x + \frac{5}{3} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

approximately 17

Step-by-step explanation:

Answer:

16.97m

Step-by-step explanation:

We know that, all the 4 sides of a square are equal.

Given that,

Perimeter of the square is 48m

First, let us find the length of a side the square.

For that, let the length of a side be x.

Therefore,

x + x + x + x = 48

4x = 48

Divide both sides by 4.

x = 12 m

Now let us find the length of the diagonal using Pythagorean theorem.

For that let the length of the diagonal be y.

So,

12² + 12² = y²

144 + 144 = y²

288 = y²

√288 = y

16.97 m = y

Therefore,

The length of the diagonal is 16.97m

Answer: 18 (m + 2m); 18m + 18 (2m); 54m

Step-by-step explanation:

The expression that represent the total no of pencil Mr. Moretti gives to his students is 18 (m + 2m); 18m + 18 (2m); 54m.

Given that,

Based on the above information, the above are the expressions.

Learn more: brainly.com/question/17429689

Answer:

5040

Step-by-step explanation:

10 x 9 x 8 x 7 = 5040

Answer:

my 8k is a responsibility to ensure the correct

Step-by-step explanation:

I hope personally is am jare for you and I hope that it is possible that I

Hilary trip is an illustration of a scalene triangle

The triangle that represents Hilary's trip can be classified by the side lengths.

From the figure, the side lengths of the triangles are:

919 miles, 586 miles and 1212 miles

The lengths are not equal.

Triangles that do not have equal side lengths are scalene triangles

Hence, the triangle that represents Hilary's trip is a scalene triangle

To do this, we simply calculate the perimeter of the triangle.

So, we have:

P = 919 miles + 586 miles + 1212 miles

P = 2717 miles

Hence, Hilary completed 2717 miles

Read more about scalene triangles at:

https://brainly.com/question/19763099

Answer:

where where is it

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

[tex]\displaystyle y = -3x + 9[/tex]

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]

I am joyous to assist you at any time.

Answer:

to much math

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

There are 1000 grams in a kilogram, just do a metric unit conversion.

Hopefully this helps - let me know if you have any questions!

Answer:

Today: Monday, 12 October 2020

Hour: 23.39 WIB (in Indonesia)

_________________________

-5x - - 4x - 10

-5x + 4x - 10

-x - 10

Answer:

D. g(x) = 3x²

Step-by-step explanation:

Clearly, g(x) = 9x² = (3x)².

The correct option is :-

D. g(x) = 3x²

Answer:

(7, 9)

Step-by-step explanation:

The (x-7) indicates that the graph will be shifted to the RIGHT 7 units. The +9 at the end of the equation means the graph will be shifted UP 9 units.

So the point (0,0) will land at (7,9)

Answer:

yes i am

Step-by-step explanation:

thank you for noticing my style

Answer:

-2

Step-by-step explanation:

Using the squeeze or sandwich Theorem,

A limit of f(x) exists if

Since the statement establishes, that let see if they approach the same limit.

[tex]g(2) = {2}^{2} - 3(2) = - 2[/tex]

[tex]h(2) = 2 - 2(2) = - 2[/tex]

So the answer is-2

Answer:

See attached image

Step-by-step explanation:

See attachment

Answer:

a = 5

Step-by-step explanation:

a = 5

all you have to do is divide both sides by 3

Answer:

A=5

Step-by-step explanation:

Divide each term by 3 and simplify :)

Hope I helped!

Answer:

270 mL of pure alcohol is needed.

Step-by-step explanation:

In 540 mL of the mixture, you have 540*10% = 54 mL of pure alcohol.

If you add x mL pure alcohol, then you have (540 + x) mL solution, in it there is (54 + x) mL of pure alcohol

so (54 + x)/(540 + x) = 40%

Then

54 + x = 0.4(540 + x)

54 + x = 216 + 0.4 x

0.6x = 216 - 54 = 162

x = 162/0.6 = 270 mL

Answer:

x = 6

Both the angles are equal

7x + 4 = 9x - 8

9x - 7x = 4 + 8

2x = 12

x = 6

Solution:

We know that:

This means that:

Step-by step calculations:

Open the parenthesis:

Subtract 7x both sides:

Add 8 both sides:

Divide 2 both sides:

Answer:

The cardinal number of h is house.

Answer:

There is a 50% chance that the random number generator picks an even number

Step-by-step explanation:

Out of all the numbers between 1 and 100, 50 out of the 100 numbers are odd and 50 out of the 100 numbers are even.

Answer:

Slope-intercept form:

[tex]y=\dfrac12x+\dfrac{13}2[/tex]

Standard form:

[tex]x-2y=-13[/tex]

Step-by-step explanation:

Point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the point)

Given:

Substituting these values into the point-slope formula:

[tex]\implies y-4=\dfrac12(x+5)[/tex]

[tex]\implies y-4=\dfrac12x+\dfrac52[/tex]

[tex]\implies y=\dfrac12x+\dfrac{13}2[/tex]

Slope-intercept form:

[tex]y=\dfrac12x+\dfrac{13}2[/tex]

Standard form:

[tex]x-2y=-13[/tex]

[tex]\\[/tex]Answer:

m = - 4

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]

Substitute (-2,9) and (3,-11) into m = [tex]\frac{y_{2} -y_{1} }{x_{2} x_{1} }[/tex]

=  [tex]m=\frac{-11-9}{3-(-2)}[/tex]

m = -4

Answer:

Slope (m) = -4

Step-by-step explanation:

Given :-

Points (-2, 9) and (3, -11)

To Find :-

Slope (m)

Solving :-

m = y₂ - y₁ / x₂ - x₁

= -11 - 9 / 3 + 2

= -20 / 5

= -4

Solution :-

Slope (m) = -4

Answer:

4x + 7y - 28 = 0

Step-by-step explanation:

The equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x.

Based on the information given, the equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x. Therefore, the number of minutes will be:

340 - 6x = 6x

Collect like terms

340 = 6x + 6x

340 = 12x

x = 340/12

x = 28.33 minutes.

In 28.33 minutes, they'll have the same content.

Read related link on:

https://brainly.com/question/17823882