given a is equal to 60 degree and 30 degree prove that sin a + b is equal to sin a cos b + cos a sin b ​

Answer:

10

Step-by-step explanation:

Because x=4 you have to plug it into the equation

3(4)-2=

12-2=

=10

Answer:

625 in3

Step-by-step explanation:

I cut the shape into two different shapes; square and rectangle

Square volume: 5 x 5 x 5= 125 in3

Rectangle volume: 20 x 5 x 5 = 500 in3

Total volume: 500 + 125 = 625 in3

Answer:

x+x+4+3x-9=90

5x-5=90

5x=95

x=19

9. 19

10. 19+4=23

11. 3×19-9=48

Answer:

Use Pythagoras Theorem

Answer:

1/3 or 33%

Step-by-step explanation: Its a third

Answer:

4 + 12 = 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation for this relationship:

Number of views in 5 weeks:

5 turning points are in the graph of the polynomial function.

Turning points occur when a graph shifts from rising to dropping (rising to falling) or from decreasing to increasing (falling to rising). A polynomial of degree n can turn at most once, or n1.

The point on a parabola where the graph shifts from increasing to decreasing, or from decreasing to increasing, is known as the turning point of a parabola and is also known as the vertex. We refer to a graph as growing when it is rising from left to right.

Turning points are places on a graph where the direction of the line switches from upward to downward.

And from below to above.

We can see that graph is changing its direction at  5 different points and the points are

(-5,6) ,(-3,-3) ,(0.5,0.5) ,(3,2.5) ,(5,5)

Thus, there are 5 turning points.

Learn more about Turning point here:

https://brainly.com/question/3458856

#SPJ7

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

To find a y term, find the absolute value of the x term (|x|).

Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).

Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.

Find the absolute value of each x term to find y:

x ⇒ y

-2 ⇒ 2

-1 ⇒ 1

0 ⇒ 0 (the absolute value of 0 is always 0)

1 ⇒ 1

2 ⇒ 2

I hope this helps!

Answer:

b) 43 degrees

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

The bottom right angle is 80° since thats the value of its complement

Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°

Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.

Answer:

it is 8

Step-by-step explanation:

Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.

Step-by-step explanation:

Answer:

23s-7

Step-by-step explanation:

17s-10+3(2s+1)

17s-10+6s+3

23s-7

Answer:

18.8 you are right

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

If two chords intersect in a circle, then (product of segments of Chord 1) = (product of segments of Chord 2)

=> 8 × 15 = 10 × x

=> x = 8 × 15 ÷ 10

=> x = 12

Step-by-step explanation:

4. E=-6

-9

multiply both sides by the LCM=-9

-9 × (e) = -6×-9

-9

therefore the LCM will cancel I out the denominator

e = -6×-9

e= -54

5. K =2

12

multiply through by the LCM=12

12×(k)=2×12

12

cross out

k=24

6. m=-10

6

multiply through by the LCM=6

6×m=-10×60

6

cross out

m=-60

So follow suit

Answer:

no.of boys is 45

Step-by-step explanation:

here, let the number of boys and girls be 5x and4x

ATQ,

5x=4x+9

or,5x-4x=9

or,x=9

then, the number of boys is 9×5=45

and the number of girls is 9×4=36..

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]

[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]

The three points are W(0,-2), I(2,0) and L(5,k). So,

[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]

[tex]0+2(k+2)+5(-2)=0[/tex]

[tex]2k+4-10=0[/tex]

[tex]2k-6=0[/tex]

Adding 6 on both sides, we get

[tex]2k=6[/tex]

[tex]k=\dfrac{6}{2}[/tex]

[tex]k=3[/tex]

Therefore, the correct option is E.

Answer:

m∠A = 120°

m∠C = 45°

Step-by-step explanation:

all triangle angles add up to 180

(12x + 12) + 15 + (3x +18) = 180

15x + 45 = 180

15x = 135

x = 9

m∠A = (12x + 12) = 12(9) + 12 = 120

m∠C = (3x +18) = 3(9) + 18 = 45

Answer:

Step-by-step explanation:

8 exponent 2 + 2 = 64 + 2 = 66

Answer:

8^2+2

=8*8+2 [8^2=8*8]

=64+2

=66

Step-by-step explanation:

The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.

Answer:

3.4%

Step-by-step explanation:

Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:

((362 - 350) / 350) x 100

(12 / 350) x 100

= approximately 3.4

So, the percent increase in temperature was approximately 3.4%

Answer:

descending order, meaning standard form.

Step-by-step explanation:

Ex: x^2-5x+2

or

Ex: 2x^3 -5x^2 -2x +3

tell me if it doesn't make sense

Answer:

Sam and his friend will each get 7/16 of a pound of coffee

Step-by-step explanation:

7/8 × 1/2 = 7/16

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

Step-by-step explanation:

1. Oblicz:

a) Liczbę o 15% mniejszą od 60

b) Liczbę, której 15% stanowi 60

c) Jakim procentem 60 jest 15

d) O ile %większa jest 60 od 15

2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?

3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?

4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?

Answer:

The first step is to find the volume of the two hemispheres.

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.

Volume of sphere

[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]

[tex] = 2304\pi \: in^{3} [/tex]

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]

Volume of cylinder

[tex] = \pi( {12}^{2} )(24)[/tex]

[tex] = 3456\pi \: in^{3} [/tex]

Thus, volume of solid

[tex] = 3456\pi - 2304\pi[/tex]

[tex] = 1152\pi[/tex]

[tex] = 1152(3.14)[/tex]

[tex] = 3617.28 \: in^{3} [/tex]

Answer:

Volume of solid = Volume of Sphere - Volume of cylinder

Volume = 4/3πr³ - πr²h

Volume = 4/3 • π • 12³ - π • 12² • 24

Volume = 4/3 • π • 1728 - π • 144 • 24

Volume = 4 • π • 576 - π • 3456

Volume = π(3456 - 2304)

Volume = π(1152)

Volume = 3619.11 in³

[tex] \\ [/tex]

if u know what the sqare root which is 3.32 than it will lie between 2 and 4

- 8 + 6 = - 2

Step-by-step explanation:

-2 = [-8] + 6

-TheUnknownScientist

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

Answer:

-2

Step-by-step explanation:

4x-4=-12

4x=-12+4

4x=-8

x=-8/4

x=-2

Answer:

33°

Step-by-step explanation:

cos(x) = 21/25

[tex]cos^{-1}(21/25)[/tex] ≈ 32.86°

to the nearest whole number, that would be ≈ 33°