Solve for the value of k.
(k+1)°
42°

Answer:

[tex]y = -7[/tex]

[tex]y = 3[/tex]

[tex]y = 13[/tex]

[tex]y = 53[/tex]

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Step-by-step explanation:

cos 0=5/13. B/H

p=√h2 - b2

= √13 square -5 square

=√169 -25

=√144

=12 Ans

Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12

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Answer:

Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.

Now, the sine and cosine

Find the sine of ∠A and cosine of ∠B

Since right sides are equal, left sides are equal too

Similarly, we can show that

Proved

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Convert point Q to polar coordinates (accounting for correct direction):

[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]

Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A

Problem 2

Make polar substitutions:

[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]

Hence, the answer is C

Problem 3

Eliminate the parameter:

[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]

Hence, the answer is C

Problem 4

Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:

[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]

Thus, the correct answer is S

Problem 5

Use the formula for multiplying complex numbers in polar form:

[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]

Hence, the answer is A

Problem 6

Determine when the ball first hits the ground:

[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]

Determine the horizontal distance covered by the ball:

[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]

Hence, the best answer is C

Problem 7

The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.

From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

Answer:

i think the answer might be E.

the answer is A option that is Angle M

The number of the pints of soda were drank during the party will be 14 pints.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Bob is throwing a party. He has 22 pints of soda.

At the end of the party, there are 8 pints of soda.

Then the number of the pints of soda were drank during the party will be

⇒ 22 – 8

⇒ 14

The number of the pints of soda were drank during the party will be 14 pints.

More about the subtraction link is given below.

https://brainly.com/question/4319655

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Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

Answer:

heya! ^^

given that ,

25 workers together complete a certain piece of work in 48 days.

here , we've to find the number of days in which 20 workers can complete the same work ~

_____________________________

so let's start ~

★ 25 workers complete the work in = 48 days

★ 1 worker will complete the work in = 25 × 48 days

now ,

29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]

hope helpful :D

Answer:

60 days

Step-by-step explanation:

Thing to Remember

Solving

-2a+6

Hope it helps.

Do comment if you have any query.

Answer:

75 kilómetros por hora creo no estoy muy seguro

Answer:

-19/-24 ?

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .

-24 has an absolute value of 24

Answer:

0.791666667 I hope this helped

Step-by-step explanation:

Answer:

I believe the answer should be 90:90:180. I may be wrong.

Answer:

4:7

Step-by-step explanation:

4:7 is the same as 4/7

Answer:

Step-by-step explanation:

According to the given box plot, the 25% point matches the number 2.

It means the rest of the scores are 2 or more runs:

Answer:

$83,333

Step-by-step explanation:

1 000 000*1/4

250 000

250 000*1/3 = 83 333.33

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

Answer:

80 Cents for each jumbo cookie

Answer:

its A becauss i tryed b and th en i tried A so its a

Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

Answer:

sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).

Step-by-step explanation:

sin3t*cos(s-t);

1) cos(s-t)=cos(s)cost+sin(s)sint; then

2) sin3t*cos(s-t)=sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).

Answer: q < 81

Step-by-step explanation:

isolate q

15 < 96 - q

-81 < -q

divide by negative 1 but flip inequality because you are dividing by a negative

81 > q so

q < 81

Here we would be using distance formula to calculate the distance between those two points.

Points are,

★ Distance Formula :

We have :

Substituting the values in the formula :

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

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Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

Answer:

EG = 6 in.

Step-by-step explanation:

EG is congruent to DF and DF is 6 in. so EG would be 6 in.

Answer:

6 in.

Step-by-step explanation:

DF's length is congruent ( same ) to EG's length which is shown by the one mark on each side

Since DF's length is 6 inches, EG's length is also 6 inches.

Therefore,the answer is 6 in( inches )

Hope this helps!

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Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h