What are the measures of
∠
1
and
∠
2
? Show your work or explain your answers.

Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = [tex]2\pi r[/tex]

Plug 35 in for r (radius) and solve.

C = [tex](35) 2\pi\\\\C = 70\pi\\\\C = 219.9[/tex]

So, approximately 219.9 [tex]in^2[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Given:

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

To find:

The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.

We know that,

[tex]\sin^2\theta +\cos^2\theta =1[/tex]

[tex]\sin^2\theta=1-\cos^2\theta[/tex]

[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]

It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,

[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]

After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get

[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]

[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin \theta=-\dfrac{4}{5}[/tex]

Therefore, the correct option is B.

Answer:

7) 96

8) 84

9) 72

Step-by-step explanation:

A = bh

7)

b = 12, h = 8

A = 12*8 = 96

8)

b = 12, h = 7

9)

b = 8, h = 9

Answer:

5 five-dollar coins and 3 ten-dollar coins

Step-by-step explanation:

10x3=30

5x5=25

30+25=55

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

The surface area of the right cone is,

⇒ 339 units²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Radius of right cone = 6 units

Slant height of right cone = 12 units

Now, We know that;

The formula for the total surface area of a right cone is,

⇒ T. S. A = πrl + πr²

Hence, We get;

The surface area of the right cone is,

⇒ 3.14 × 6 × 12 + 3.14 × 6²

⇒ 226.08 + 113.04

⇒ 339.1

⇒ 339 units²

Thus, The surface area of the right cone is,

⇒ 339 units²

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

A.

Step-by-step explanation:

Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.

Step-by-step explanation:

Given equation :-

Slope intercept form :-

→ 4x + 3y - 8 = 0

→ 3y = -4x + 8

→ y = (-4x + 8)/3

→ y = -4/3x + 8/3

Answer:

y = -4/3x + 8/3.

Step-by-step explanation:

4x + 3y - 8 = 0

3y  - 8 = -4x

3y = -4x + 8

Divide through by 3:

y = -4/3x + 8/3.

Answer:

A

Step-by-step explanation:

geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2

Answer:

translate 2 units to the left and compress by 1/2 in the y direction

Step-by-step explanation:

f(x)=x²

y = f(x + C)  C > 0 moves it left

We add 2 to move it 2 units to the left

h(x) = (x+2)^2

y = Cf(x) 0 < C < 1 compresses it in the y direction

g(x) = 1/2 (x+2)^2

Answer:

14 days

Step-by-step explanation:

Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.

50,000 - 8000 = 42,000 trinkets

Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity

42,000 / 3000 = 14 days

Therefore, it will take 14 days for the warehouse to be filled

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Answer:

30'000 gallons approx

Step-by-step explanation:

day 2 - 500,000 gallons

day 4 - 250,000 gallons

day 6 - 125,000 gallons

day 8 - 62,500 gallons

day 10 - 31,250 gallons

Answer:

answer is A. you can see each intervals slowly to know this

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

Answer:

There is no possible value for P

Step-by-step explanation:

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree

We solve using the law of sines

p/sin P = r/sin R

7.6/sin P = 3.5/sin 160

Cross Multiply

sin P × 3.5 = 7.6 × sin 160

sin P = 7.6 × sin 160/3.5

P = arc sin (7.6 × sin 160/3.5)

There is no possible value for P

Answer:

I would answer but I have no numbers to give the answer

15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

Answer:

Step-by-step explanation:

(85+92+95+x)/4

=90

(272+x)/4

=90

90×4=360

272+x=360

x=360-272=88

so it's the lowest score

Answer:

The 24,003 is the fastest

Answer:

3^-6(81)^2=3^-6(6561)=9 which is 3^2

Answer: x=3 plus or minus i square root 29 end root all over 2

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees