19. Find the value of:
4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°​

Answer: the third one

Step-by-step explanation:

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:

The first one

Step-by-step explanation:

3/5 and 9/25

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

Answer:52.1

Step-by-step explanation:

adj/hyp= x/57

cos 24=x/57

57 cos 24=x

x=52.0721= 52.1 FT

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]

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

Answer:

x = 18

Step-by-step explanation:

Vertically opposite angles are equal.

x + x + x + 90 = 144

         3x + 90 = 144  

Subtract  90 from both sides

                 3x = 144 - 90

                 3x = 54

Divide both sides by 3

                   x = 54/3

x = 18

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:

47g

Step-by-step explanation:

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

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:

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.

- 8 + 6 = - 2

Step-by-step explanation:

-2 = [-8] + 6

-TheUnknownScientist

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

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:

9.71 miles

Step-by-step explanation:

total miles he ran = 6.19 + 3.1 = 9.29

Target = 19 miles

Goal for sunday = 19 - 9.29 = 9.71

Answer:

448

Step-by-step explanation:

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

Answer:

B. 100 pi units squared

Step-by-step explanation:

Find the surface area of a sphere with radius 5 using the formula SA=4pir²

Leave answer in terms of π = pi

From the question

The formula for the Surface Area if a square = 4 × pi × r²

r = 5

Hence,

Surface Area of a Sphere = 4 × pi × 5²

= 100 pi units squared

Option B is the correct option

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:

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:

209.46

Step-by-step explanation:

subtract $357.45, $97.99, and $50 and

you'll get $209.46

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..

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

Answer:

Use Pythagoras Theorem

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

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