Express the height of the tree in terms of trigonometric ratios.

A) 50tan90°

B) 50sin90°

C) 90sin50°

D) 90tan50°

We have been an equation in polar coordinates [tex]r=10\text{sin}(\theta)[/tex]. We are asked to write our equation in rectangular coordinates.  

We know that the equation [tex]r=2b\text{sin}(\theta)[/tex] is equation of a circle with a radius [tex]|b|[/tex] and center at [tex](0,b)[/tex].

Let us find the value of b.

[tex]2b\text{sin}(\theta)=10\text{sin}(\theta)[/tex]

[tex]\frac{2b\text{sin}(\theta)}{2\text{sin}(\theta)}=\frac{10\text{sin}(\theta)}{2\text{sin}(\theta)}[/tex]

[tex]b=5[/tex]

We know that equation of a circle in rectangular coordinates is [tex](x-h)^2+(y-k)^2=r^2[/tex]

Since [tex]b=5[/tex], so radius is 5 and center is at point (0,5).

[tex](x-0)^2+(y-5)^2=5^2[/tex]

[tex]x^2+(y-5)^2=25[/tex]

Therefore, our required equation would be [tex]x^2+(y-5)^2=25[/tex].

Answer:

x^2+y^2=10y

Step-by-step explanation:

d on edg

Answer:

60

Step-by-step explanation:

first you multiply 100 times 15

then once you do that you divide that by 25

that should give you an answer

Answer: [tex]\frac{60}{100}[/tex]

Step-by-step explanation: I got the answer by turning [tex]\frac{15}{25}[/tex] into a decimal.

15 divided 25 will equal 0.6

0.6 x 100 = 60

Now we know it's  [tex]\frac{60}{100}[/tex]

I hope this helps!

Answer:  Measure of angle 1 is 13.84° .

Step-by-step explanation: Given angle 2 = (5x+14)°

angle 3 = (7x-14)°.

Let the angle 1 be x°,

As we know m∠1+m∠2+m∠3 = 180° (Angle sum property)

x°+(5x+14)+(7x-14) = 180°

x°+12x = 180°

13x = 180

x = 180/13 = 13.84°

∴Measure of angle 1 is 13.84°

Answer:

x = -3

(-3,7)

Step-by-step explanation:

y = –3x – 2,

y = 7

We know the value of y, y=7

Substitute into the first equation

7 = –3x – 2

Add 2 to each side

7+2 =  –3x – 2+2

9 = -3x

Divide each side by -3

9/-3 = -3x/-3

-3 = x

Final answer:

The value of x is -3, and the solution to the system of equations is the point (-3, 7), which satisfies both equations y =
–3x – 2 and y = 7.

Explanation:

To find the value of x when given the system of equations y =
–3x – 2, and y = 7, we can substitute the second equation into the first. This gives us 7 = –3x – 2. Adding 2 to both sides yields 9 = –3x, and then dividing both sides by -3 gives us x = -3. Hence, the value of x in this system of equations is -3.

The solution to the system of equations is the pair (x, y) that satisfies both equations simultaneously. Substituting x = -3 into one of the original equations, we get y = 7. Thus, the solution to the system is the point (-3, 7).

Answer:

D

Step-by-step explanation:

Since the line segment inside the triangle is parallel to the side of the triangle and intersects 2 sides then it divides those sides in proportion, that is

[tex]\frac{63}{45}[/tex] = [tex]\frac{x}{55}[/tex] ( cross- multiply )

45x = 3465 ( divide both sides by 45 )

x = 77 → D

Explicit Geometric Formula for sequence: 16,8,4

an = a1 (0.5)^n-1

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

The nth term of a geometric sequence is given as,

= a[tex]r^{n-1}[/tex]

a = 16

r = 1/2

The explicit formula for the nth term of the sequence 16, 8, 4 is

16 [tex](1/2)^{n-1}[/tex]

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

4, 8, 18, 32 is a geometric sequence.

We have,

16, 8, 4

This is a geometric sequence.

The first term is 16.

a = 16

The common ratio.

= 8/16

r = 1/2

Now,

The nth term of a geometric sequence is given as,

= a[tex]r^{n-1}[/tex]

= 16 [tex](1/2)^{n-1}[/tex]

Thus,

The explicit formula for the nth term of the sequence 16, 8, 4 is

16 [tex](1/2)^{n-1}[/tex]

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ5

Answer:

The slope is 0

Step-by-step explanation:

Try graphing it for a better way to see it. If it passess through (1,14) and (2,14), the line is going horizontally, so it has no slope. I hope this helps.

Answer:

   Hope that I helped god bless u have a good Wednesday

Step-by-step explanation:

rolling n six-sided dice, where n is a positive whole number, the sample space consists of 6 n elements. the sample space is the set that lists all 52 cards in a deck.

Look at the attached picture ⤴

Hope it will help u...

Answer:

7.6 = h

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

76 = 1/2 *20 *h

76 = 10 h

Divide each side by 10

76/10 = 10h/10

7.6 = h

Answer:

7.6 inches

Step-by-step explanation:

The area of a triangle can be found using:

a=(b*h)/2

We know that the area is 76 in^2 and the base is 20 in. Substitute 76 in for a and 20 in for b.

76=(20*h)/2

Now we have to solve for h, by getting h by itself.

First, get rid of the denominator of 2 by multiplying both sides by 2

76*2=20*h/2*2

76*2=20*h

152=20*h

Next, divide both sides by 20, because 20 and h are being multiplied.

152/20=20*h/20

152/20=h

7.6=h

The height is 7.6 inches

Answer:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and

spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.

Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.

Which of the following statements are true?

Choose all answers that apply:

P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a

spade is equal to the probability that Ebru selects a 2.

PB A) = P(B), the conditional probability that Ebru selects a spade given that she has

chosen a 2 is equal to the probability that Ebru selects a spade.

Step-by-step explanation:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and

spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.

Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.

Which of the following statements are true?

Choose all answers that apply:

P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a

spade is equal to the probability that Ebru selects a 2.

PB A) = P(B), the conditional probability that Ebru selects a spade given that she has

chosen a 2 is equal to the probability that Ebru selects a spade.

Answers:

In photo below

Explanation:

I got it correct in my test :)

Answer: The perimeter of rectangle is [tex]1.58\times 10^6[/tex]

Step-by-step explanation:

Given: Area of rectangle = [tex]1.45 \times 10^{11}[/tex]

Width of rectangle = [tex]2.9 \times 10^{5}[/tex]

As we know area of a rectangle is given by

[tex]Area = Length \times Breadth[/tex]

So we have

[tex]1.45 \times 10^{11}= Length \times 2.9 \times 10^{5}\\\\\Rightarrow Length = \dfrac{1.45 \times 10^{11}}{2.9 \times 10^{5}} \\\\\Rightarrow Length = 0.5 \times 10^6 = 5 \times 10 ^5[/tex]

Now as we know

[tex]Perimeter = 2(Length +breadth)\\\\\[/tex]

Length = [tex]5 \times 10^5[/tex]

Breadth  = [tex]2.9 \times 10^{5}[/tex]

Therefore

[tex]Perimeter = 2(5 \times 10^5+ 2.9 \times 10^5)\\\\\Rightarrow Perimeter = 2\times 10^5(5+2.9)\\\\\Rightarrow Perimeter = 15.8 \times 10^5 = 1.58 \times 10^6[/tex]

Hence,the perimeter of rectangle is [tex]1.58\times 10^6[/tex]

Answer:

1.58*10^6

Step-by-step explanation:

Answer:

when i simplified it on paper i got this but it has no solution

2(5/6)=27/6=-25=-5/6=1/6

Step-by-step explanation:

Answer:

25 mi^2

Step-by-step explanation:

2.5^2 = 6.25

6.25 * 4 = 25

Answer:

19.63 cm

Step-by-step explanation:

Because it can be heard from all directions, it takes the shape of a circle. Plus,  it's 2.5 in all directions, so the lines are all equal. Therefore, 2.5 is the radius. They're asking for the area here, and the formula for area of a circle is A = PI*R^2. I'll use 3.14 to substitute for pi. Exponents first. 2.5^2 = 6.25. After that, we multiply. 3.14*6.25 = 19.625. We arrive at the answer. 19.625 square miles.

Answer:

Step-by-step explanation:

the first one

the second one

the third one

the last one

Answer:

$51.30

Step-by-step explanation:

25% sale

The jacket costs $76, and the price is marked down 25%.

Normally, you would pay for 100% of the price, but because it is marked down 25%, you are only paying 75% of the normal price.

Now, find the price of the jacket.

Multiply 75% and $76

75%*76

Convert 75% to a decimal by dividying by 100

75/100=0.75

0.75*76=57

The jacket costs $57 with the sale.

10% coupon

The jacket on sale costs $57. The coupon will take off another 10%.

Instead of paying for 100% of the jacket, you are paying for 90% with the coupon that takes 10% off.

Multiply 90% and $57

90%*57

Convert 90% to a decimal by dividing by 100

90/100=0.9

0.9*57

51.3

The price of the jacket after a 25% off sale and a 10% off coupon is $51.30

Answer:

$51.30

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation: This might not be the correct way to find the answer, but I hope this helps.

We have to try to figure out what (x) is...

6(4+1)+1 = 31 because 6 x 5 is 30 and + 1 is 31

6(5+1)+1 = 36 because 6 x 6 is 36 and + 1 is 37

6(2+1)+1 = 19 because 6 x 3 = 18 and + 1 is 19

All of these equations are wrong, none of them equal 25 besides...

6(3+1)+1

3+1=4

6x4=24

24+1

25

Have a good day :D

Answer:

Step-by-step explanation:

Angle d is 62 degrees

Angle is 27 degrees

Angle h is 118 degrees

Answer:

The answers are;

AB = 15 cm, BC = 20 cm, ∠B = 40° no

AB = 15 cm, AC = 20 cm, ∠C = 40° yes

BC = 5 cm, BA = 10 cm, ∠A = 40° yes

AC = 5 cm, BC = 10 cm, AB = 14 cm no

Step-by-step explanation:

Here we have that

1. in ΔABC, sides AB = BA and BC as well as ∠B are known hence the two sides and the included angle of the triangle are known, hence the triangle is well defined, hence there is only one way to draw the triangle.

Therefore, the answer is No

2. in ΔABC, sides AB and AC as well as ∠C which is ∡ACB are known hence since the included angle ∠A of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.

Therefore, the answer is Yes

3. Similarly in ΔABC, sides BC and AB as well as ∠A which is ∡CAB are known hence since the required included angle ∠B of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.

Therefore, the answer is Yes

4. in ΔABC, sides AC and BC and AB are known, hence, ∠A, ∠B, and ∠C cn be found which indicates that the triangle is well defined, that is only one way to draw the triangle.

Therefore, the answer is No.

Answer:

C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number

Step-by-step explanation:

Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.

In the question above, the given statement represents option C is correct.

Final answer:

The second step in sketching the graph of a rational function involves identifying and plotting the function's zeros and vertical asymptotes on a number line.

Explanation:

The second step in sketching the graph of a rational function is (D) Finding the function's zeros and vertical asymptotes and plotting them on a number line. This step is crucial before sketching the graph because it gives an initial outline of where the function will not be defined (vertical asymptotes) and where it crosses the x-axis (zeros of the function). After identifying these critical points, one can choose appropriate test numbers around each zero and asymptote to determine the behavior of the function in those regions, which can later aid in sketching the graph with more accuracy.

Answer:

9x-2y+3 is similar

Step-by-step explanation:

Answer:

9  −  2  +  3

Step-by-step explanation:

Combine like terms (add 8x and x)

8x - 2y + 3 + x

9  −  2  +  3

Answer:

36 seconds

Step-by-step explanation:

Distances covered in time t:

Puppy: 25t

Kitten: 20t

Assuming the kitten is 180m ahead of the puppy:

25t = 20t + 180

5t = 180

t = 36 seconds

Answer:

36

Step-by-step explanation:

Answer:

D- All the residents of the city.

Step-by-step explanation:

Answer:

D. All residents of the city.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:If each bottle is $2 and there's 12 bottles then you just multiply 2 * 12. Which equals 24.

Answer:

(4 x 6), 24+24, 48

Step-by-step explanation:

It has to equal 48 so you put 4 in the parenthesis.