In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.

Triangle with vertices labeled golfer and spectator and hole, with the distance from the golfer to the spectator measuring 140 yards and the distance from the golfer to the hole measuring 200 yards and the vertex of the spectator measuring 120 degrees

If the spectator has an angle of 120° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
60.0°
59.6°
37.3°
22.7°

The two numbers that come next in the sequence 5,5,10,15,25, are 40 and 65.

To calculate this , You can figure it out by taking the first number, which is 5. However, since the previous number is 0, the sum is 5, and you proceed in the same manner.

5 + 5 = 10

(5 + 10) = 15

(10 + 15) = 25

(15 + 25) = 40

(25 + 40) = 65

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The amount of flour needed for soft pretzel is c = 1/8 and the amount of flour needed for the loaf of bread is b = 3.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given system of equations,

b = 24 c and

[tex]\frac{1}{4}[/tex] b + 4c = [tex]\frac{5}{4}[/tex]

Substitute b = 24 c in the second equation.

[tex]\frac{1}{4}[/tex] (24 c) + 4c = [tex]\frac{5}{4}[/tex]

6c + 4c = [tex]\frac{5}{4}[/tex]

10 c = [tex]\frac{5}{4}[/tex]

c = [tex]\frac{5}{4}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{8}[/tex]

b = 24c = 24 / 8 = 3

Hence c = 1/8 and b = 3 in cups.

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Answer:

[tex]y=\frac{3}{2} x-6[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

[tex]3x = 2y[/tex]

Switch the sides

[tex]2y=3x[/tex]

Divide both sides by 2 to isolate y

[tex]\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x[/tex]

Now that this equation is in slope-intercept form, we can easily identify that [tex]\frac{3}{2}[/tex] is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope [tex]\frac{3}{2}[/tex] . Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{3}{2} x+b[/tex]

2) Determine the y-intercept

[tex]y=\frac{3}{2} x+b[/tex]

Plug in the given point, (4,0)

[tex]0=\frac{3}{2} (4)+b\\0=6+b[/tex]

Subtract both sides by 6

[tex]0-6=6+b-6\\-6=b[/tex]

Therefore, -6 is the y-intercept of the line. Plug this into [tex]y=\frac{3}{2} x+b[/tex] as b:

[tex]y=\frac{3}{2} x-6[/tex]

I hope this helps!

Answer:

p = 0.11 (rounded to 2 DP)

p = 0.111 (rounded to 3DP)

Step-by-step explanation:

p = 0.48³

p = 0.110592

Rounded to 2 DP

p = 0.11

Rounded to 3DP

p = 0.111

Answer:

answer is c because you have to put in the 2 and get -16

Answer:

Step-by-step explanation:

(49/72)-(13/14)

-125/504

Answer:

270/1

Step-by-step explanation:

Here is 90 divided by 1/3 displayed mathematically in colors:

90 ÷ 1/3

The numbers in 90 divided by 1/3 are labeled below:

90 = whole number

1 = numerator

3 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

90x3/1 = 270/1

Answer: 270/1

Step-by-step explanation:

90/1*1/3 you have to do the reciprocal so it turns to 90/1*3/1= 270/1

Answer: 5/14

Step-by-step explanation:

5 white / 8 total

4 white / 7 total

5/8 * 4/7 = 20/56 = 5/14

Answer: 5. 2x+8  6. 5(x-9)   7. -3x+-21

Step-by-step explanation: Multiply the number outside the parenthesis by everything inside it

Answer:

3.73 miles per hour

Step-by-step explanation:

12 Kilometers is 7.46 miles.

7.46/2 = 3.73 Miles per hour

Answer:

The answer is 10√2.

Step-by-step explanation:

Answer:

+6

Step-by-step explanation:

Each interval has a difference of 6

The total area of the recreational area can be represented by the polynomial expression 26x² + 57x + 35.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

The area of the rectangular pool is given by its length times its width, so the area of the pool is (3x - 3) meters × (2x + 7) meters = (6x² + x - 21) square meters.

The area of the patio is given by the length of the pool plus twice the extension (x) on each side, times the width of the pool plus twice the extension on each side, so the area of the patio is (3x - 3 + 2x) meters × (2x + 7 + 2x) meters = (5x + 4) × (4x + 14) = 20x² + 56x + 56 square meters.

The total area of the recreational area is the sum of the areas of the pool and the patio, so it can be represented by the polynomial expression:

20x² + 56x + 56 + 6x² + x - 21 = 26x² + 57x + 35

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Answer:

volume of water in the container

30×10×8

2400cm³=2400ml=2.4liters

( since water is filled up to a height of 8 cm )

[tex] \large\boxed{ \mathrm{volume = l \times b \times h}} [/tex]

_____________________________

Since, 1000 cm³ = 1 litre

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

x=120°

y=70°

Step-by-step explanation:

solution,

y=70°(alternate angles)

x=120°(corresponding angles)

Answer:

A 1 in 4 chance or a probability of 0.25

Step-by-step explanation:

There is only 3 months that start with J and 12 months in a year so simplify 3/12 you get 1/4 or 0.25

Answer:

you only have the answer choices not the question itself

could you please attach the question so i can help?

The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

4(5x - 4) = 64(2x + 12)

20x - 16 = 128x + 768

20x - 128x = 768 + 16

-108x = 784

x = -7.25

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Answer:

square root of 819 or 28.6

Step-by-step explanation:

Answer:

congruent

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.

In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:

Translating the word problem into an algebraic equation, we have the following:

x - 1 = 3y                   .....equation 1.

4x + y = 95              .......equation 2.

Making x the subject of formula in equation 1, we have:

x = 3y + 1      .......equation 3.

Substituting equation 3 into equation 2, we have:

4(3y + 1) + y = 95

12y + 4 + y = 95

13y = 95 - 4

13y = 91

y = 91/13

y = 7.

For the value of x, we have:

x = 3y + 1

x = 3(7) + 1

x = 21 + 1

x =22.

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Answer:

The volume of a cube is the side length cubed.

V = s x s x s  where s is the length of the side = s x s^2 = 6s^2 so s must be 6.

The side length is 6 ,

Therefore the surface area is 6 times the area of each side = 6 x 6^2 = 6 x 36

= 108 square units

Answer:

158,808 !

Step-by-step explanation:

13,234 × m (months)

13,234 × 12

= 158,808

Answer:

[tex]\neq \neq \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \geq x^{2} x^{2} \sqrt{x} \frac{x}{y} x_{123} x_{123}[/tex]

Step-by-step explanation:

yeah

The surface area of the sphere is 144π square units.

"A sphere is a three-dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere".

For the given situation,

The axis of the sphere = 12 units

The axis is the diameter of the sphere.

The radius of the sphere, r = d/2

⇒ [tex]r=\frac{12}{2}[/tex]

⇒ [tex]r=6 units[/tex]

The formula for the surface area of the sphere, A = [tex]4\pi r^{2}[/tex]

[tex]A = 4\pi( 6)^{2} \\[/tex]

⇒ [tex]A=144\pi[/tex]

Hence we can conclude that the surface area of the sphere is 144π square units.

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Answer:

B

Step-by-step explanation:

16 - 7 = 9

Answer:

m=7

Step-by-step explanation: