Melanie is standing on the 10 m diving platform. Her coach is on the ground to the
left of her, while her parents are on the ground to the right of her. Her coach is
looking at her at an angle of 38° with the ground, while her parents are looking at her
at an angle of 30° with the ground. If the angle at the base of the platform between
Melanie's coach and Melanie's parents is 105°, how far apart are her coach and her parents to the nearest metre?

Answers

Answer 1

Answer: Distance between parent and coach = 24.05m

Step-by-step explanation:

Angle of sight between the coach and the ground(θ) = 38°

Angle of sight between the parent and the ground (θ) = 30°

Height of diving platform = 10m

The horizontal distance(x) between the coach and Melanie :

Tanθ = opp / adj

Tan 38° = 10 / x

x = 10 / 0.7812856

x = 12.79m

The horizontal distance (y) between the parent and Melanie :

Tanθ = opp / adj

Tan 30° = 10 / y

y = 10 / 0.5773502

y = 17.32m

Angle at base of platform between Melanie's coach and her parent = 105°

Distance (a) between coach and parent can be calculated using the cosine rule.

a^2 = x^2 + y^2 - 2bcCosA

Where a, b, c are side lengths and A is the included angle

Therefore,

a^2 = 12.79^2 + 17.32^2 - 2(12.79)(17.32)Cos105°

a^2 = 163.5841 + 299.9824 − (-114.6686)

a^2 = 163.5841 + 299.9824 + 114.6686

a^2 = 578.2351

a = √578.2351

a = 24.046519

a = 24.05m

Melanie Is Standing On The 10 M Diving Platform. Her Coach Is On The Ground To Theleft Of Her, While

Related Questions

Pls help me


BRAINLIST

Answers

Answer:

I think it's 60%

Step-by-step explanation:

There are total 10 sophomores, and 6 are male, so 6/10 are male, meaning there's a 60% chance.

I hope this helps you! Please give brainliest!

can you solve - x/4<7 ?

Answers

Answer:

Step-by-step explanation:

lathematics
1. There are 150 students in a college of whom 66 play
basketball, 45 play cricket and 42 play soccer, 27 play
exactly two of three sports & 3 play all of three sports,
How many of 150 play none of 3 sports?

Answers

Answer:

30 is the correct choice.

Step-by-step explanation:

150 = {baseball} + {cricket} + {soccer} - {exactly 2 sports} - 2*{exactly 3 sports} + {none of the ports}

150 = 66 + 45 + 42 - 27 - 2*3 + {none of the ports}

--> {none of the ports} = 30

Best Regards!

A band went to a recording studio and recorded 4 songs in 3 hours. How many hours would it take the band to record 9 songs if they record at the same rate?

Answers

Answer:

6 hours and 45 minutes

Step-by-step explanation:

if you divide 3 hours by four songs you deduce that it take 45 minutes to record one song.

8 is double 4 so it will take 3more hours plus the 45 minutes for the ninth song.

3+3+.45= 6.45

tom bought a football as shown and paid $142.00.What was the discount on the football?and $160.00 for the football​

Answers

Answer:

11.25% off i think

Step-by-step explanation:

Answer:

It is unidetified!!

Step-by-step explanation:

Instructions: Find the measure of one interior angle for the following regular polygon.

Answers

Answer:

60

Step-by-step explanation:

interior angles for a triangle is 180°

180 ÷ 3 sides = 60°

The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

What are the measures of interior and exterior angle of a regular polygon?

For an n-sided polygon,

The sum of all interior angles = (n - 2)180°.

The sum of all exterior angles = 360°.

We know, that a regular polygon has all sides equal, all interior angles equal, and also all exterior angles equal.

Therefore,

The value of each interior angle of a regular polygon = (The sum of all interior angles)/n,

or, The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

The value of each exterior angle of a regular polygon = (The sum of all exterior angles)/n,

or, The value of each exterior angle of a regular polygon = 360°/n.

How to solve the question?

In the question, we are asked to find the measure of one interior and one exterior angle of the given regular polygon.

The given regular polygon is a three-sided regular polygon, that is, it is an equilateral triangle.

∴ We can say that n = 3.

∴ The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

or, The value of each interior angle of a regular polygon = {(3 - 2)180°}/3 = 180°/3 = 60°.

∴ The value of each exterior angle of a regular polygon = 360°/n.

or, The value of each exterior angle of a regular polygon = 360°/3 = 120°.

∴ The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

Learn more about regular polygons at

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What does the point (1,8) mean in this situation?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

There are 8 chocolate chips in one pancake.

▹ Step-by-Step Explanation

The x is labeled as Number of Pancakes.

The y is labeled as Number of Chocolate Chips

Therefore, the 1 represents the pancakes and the 8 represents the amount of chocolate chips per pancake. This would be stated as:

There are 8 chocolate chips in one pancake.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

8 choloclate chips in 1 pancake

Step-by-step explanation:

So the x-axis represents the amount 8 of pancakes.

The y-axis represents the number of chocolate chips.

Therefore, the following point (1,8) represents 8 chocolate chips in 1 pancake.

-—————————————I do hope this helps!————————————————                                        

Suceción numerica 265 250 235 220 ____ ____ 175 ____ 145 130 ____ ____ ____ y aqui otra 4 12 36 ____ ____ ____ 2916 8748 ____ ____ y esta 5 20 15 40 25 60 35 80 ____ ____ ____ ____ 65 ____ ____ y esta tambien 30 90 270 810 ____ ____ ____ ____ ____ y esta 703125 140625 28125 5625 1125 225 ____ ____ y esta es la ultima 36864 9216 2304 576 144 ____ ____ ____.

Answers

Respuesta:

A la primera le vas a quitar 15 con cada número. A la segunda, todo lo multiplicas por 3 cada vez que vas avanzando.

265, 250 . . . 220, 205, 190, 175, 160, 145, 130, 115, 100, 185. ---------- 4, 12, 36, 108, 324, 972, 2,916, 8,748, 26,244, 78,732. ---------- 5, 20, 15, 40, 25, 60, 35, 80, 45, 90, 55, 100, 65, 110, 75. ---------- 30, 90, 270, 810, 2,430, 7,290, 21,870, 65,610, 196,830. ---------- 703125, 140625, 28125, 5625, 1125, 225, 45, 9. ---------- 36864, 9216, 2304, 576, 144, 36, 9, 2.25.

Choose the correct algebraic expression for the following: the quotient of y and 7

Answers

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees they purchase. The equation is t= 21-3 How long does it
take if a customer buys 5 coffees?

Answers

Answer: 7 minutes

Step-by-step explanation:

There is no n variable in the question, found the original question and the equations is: t = 2n – 3.

So, to answer this question we simply have to substitute n=5 in the equation given:

t = 2(5) – 3.

Solving for t(time)

t = 10-3 = 7 min.

It will take the customer 7 minutes to buy 5 coffees.

Feel free to ask for more if needed or if you did not understand something.  

Help help urgentlyyy please❤️❤️

Answers

Answer:

g(2) = 5

g(-2) = 2

g(-3) = 0

g(5) = 1

g(x) = 0 when x = 3

g(x) = 6 when x = 0

Step-by-step explanation:

Your just finding the values of y when x is unknown or when y is unknown and your trying to find x. f(x) is just a fancy way of saying y.

The perimeter (distance around the triangle) of a triangular lot is 73 meters with Sides A, B, and C. Side A is 16 meters, Side B is twice the length of Side C. Find the length of Side C.

Answers

Answer:

Brainliest please

Step-by-step explanation:

perimeter is to add all sides

73m= 16+B+C

{ use algebra}

C is a, B is twice C, hence 2a

a+2a(+16)=73

3a=73-16= 57

3a=57, divide

a= 19

B=19×2= 38m

C=19m

C is 19m

Answer:

C = 19 m

Step-by-step explanation:

Side B is twice the length of Side C.

B = 2C -----------(I)

Perimeter = 73 m

A + B + C = 73

A + 2C + C = 73  {from (I)}

16 + 3C = 73

3C = 73 - 16

3C = 57

C = 57/3

C = 19 m

HELP!!! Which choice is equivalent to the expression below?
√6+2√3+√27-√12

Answers

Answer:

A

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Thus

[tex]\sqrt{6}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{27}[/tex] - [tex]\sqrt{12}[/tex]

= [tex]\sqrt{6}[/tex] + 2[tex]\sqrt{3}[/tex] + 3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] ← collect like terms

= 3[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex] → A

The equivalent to the given expression is √6 + 3√3.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the given expression by combining like terms under the radicals:

√6 + 2√3 + √27 - √12

= √(23) + 2√3 + √(3³) - √(2²3)

= √2√3 + 2√3 + 3√3 - 2√3

= √2√3 + 3√3

= √(23) + 3√3

= √6 + 3√3

Therefore,

The equivalent to the given expression is √6 + 3√3.

Learn more about expressions here:

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The equations 2 x minus 5 y = negative 5, 11 x minus 5 y = 15, 9 x + 5 y = 5, and 14 x + 5 y = negative 5 are shown on the graph below.

On a coordinate plane, there are 4 lines. Green line goes through (2, 1.5) and (0.5, negative 2). Blue line goes through (0, 1) and (0.5, 0). Pink line goes through (negative 1, 2), and (0, negative 1). Orange line goes through (0, 1) and (2, 1.75).

Which system of equations has a solution of approximately (–0.6, 0.8)?
2 x minus 5 y = negative 5 and 14 x + 5 y = negative 5
2 x minus 5 y = negative 5 and 11 x minus 5 y = 15
11 x minus 5 y = 15 and 14 x + 5 y = negative 5
11 x minus 5 y = 15 and 9 x + 5 y = 5

Answers

Answer:

It's A

Step-by-step explanation:

i did the quiz

im having trouble with this question... please help me.

Answers

Answer:

last option.

Step-by-step explanation:

See attached.

I'm not sure why you crossed out the last option, but it seems to be correct.

Answer:

[tex] \boxed{\sf \frac{3x - 11}{ {x}^{2} + 2x - 3}} [/tex]

Step-by-step explanation:

[tex] \sf \implies \frac{5}{x + 3} - \frac{2}{x - 1} \\ \\ \sf Put \: each \: term \: in \: \frac{5}{x + 3} - \frac{2}{x - 1} \: over \: the \: common \\ \sf denominator \:(x + 3)(x - 1) : \\ \sf \implies \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} = \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} : \\ \sf \implies \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf 5(x - 1) = 5x - 5 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 5} - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf - 2(x + 3) = - 2x - 6 : \\ \sf \implies \frac{5x - 5 + \boxed{ \sf - 2x - 6}}{(x - 1)(x + 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 5 - 2x - 6 = \\ \sf (5x - 2x) + ( - 5 - 6) : \\ \sf \implies \frac{ \boxed{ \sf (5x - 2x) + ( - 5 - 6)}}{(x - 1)(x + 3)} \\ \\ \sf 5x - 2x = 3x : \\ \sf \implies \frac{ \boxed{ \sf 3x} + ( - 5 - 6)}{(x - 1)(x + 3)} \\ \\ \sf - 5 - 6 = - 11 : \\ \sf \implies \frac{3x + \boxed{ - 11}}{(x - 1)(x + 3)} [/tex]

[tex]\sf (x - 1)(x + 3) = x(x + 3) - 1(x + 3) : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf x(x + 3) - 1(x + 3)}} \\ \\ \sf x(x + 3) = {x}^{2} + 3x : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf {x}^{2} + 3x} - 1(x + 3)} \\ \\ \sf - 1(x + 3) = - x - 3 \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 3x + \boxed{ \sf - x - 3} } \\ \\ \sf 3x - x = 2x : \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 2x - 3} [/tex]

Is 31.669 an integer?

Answers

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

Answer:

No.

Step-by-step explanation:

Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).

f(x)=x^2. What is g(x)

Answers

Answer:

[tex]g(x) = \frac14x^2[/tex]

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

Rename 2/1 using the least common denominator, 4.

Answers

Answer:

8/4

Step-by-step explanation:

2/1

We want a denominator of 4 so multiply by 4/4

2/1 * 4/4 = 8/4

PLEASE ANSWER!!! You are helping wish some repairs at home. you drop a hammer and it hits the floor at a speed of 12 feet per second. If the acceleration due to gravity (g) is 32 feet/second², how far above the ground (h) was the hammer when you dropped it? Use the formula: v=√2gh A. 2.25 feet B. 18.0 feet C. 8.5 feet D. 1.0 foot

Answers

Answer:

h = 2.25 m

Step-by-step explanation:

Given:

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

Required:

Height = h = ?

Formula:

v = [tex]\sqrt{2gh}[/tex]

Solution:

For h, the formula will be:

=> h = [tex]\frac{v^2}{2g}[/tex]

=> h = [tex]\frac{(12)^2}{2(32)}[/tex]

=> h = [tex]\frac{144}{64}[/tex]

=> h = 2.25 m

The recipe calls for a pound and a half of strawberries, but I only needed one-third as many blueberries as I did strawberries to make the pie. How many blueberries did I need?

Answers

Answer:

8 ounces

Step-by-step explanation:

First, you should convert the 1 1/2 pounds to ounces. (24 ounces) Once that is converted, you can then divide it by 3 to find how many blueberries you need. (24÷3=8) So now you can see that you need 8 ounces of blueberries for the pie.

Maple grove wants to include two types of maple trees, the namesake of the city for their parks. Two varieties of maple trees have been selected one cost $75 per tree the other cost $90 per tree the budget must not exceed 70,000 people want more of the $90 trees

Answers

Answer:

75a + 90b ≤ 70000

a ≤ b

Step-by-step explanation:

Maple grove wants to include 2 types of maple trees .The 2 trees that are to be added cost $75 and $90 each. The total amount should not exceed $70000. And the people wants more of the $90 tree.  

Let

the number of the $75 tree = a

number of the $90 tree = b

The total cost of the $75 variety of maple tree = 75a

The total cost of the $90 variety of maple tree = 90b

And the cost of the trees shouldn't exceed $70000. Therefore,

75a + 90b ≤ 70000

Note the people needs more of the $90 tree, this means a ≤ b.

The rectangle below has an area of...

Answers

Answer:

Step-by-step explanation:

Area of rectangle = length * width

Area of rectangle = 55x⁶ + 22x⁴

                             = 5*11*x⁶ + 2 *11*x⁴

                             = 11x⁴*(5x² + 2)

width = 11x⁴

So, length = 5x² + 2

What is the equation of the following line written in slope-intercept form?
(1,5)
Oy=-5x
Oy= 5x
Oy=5/x​

Answers

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

Answer:

y=5x

Step-by-step explanation:

How many times does the line y = -6 intersect with the circle x + y = 6

Answers

Answer:

The line [tex]y=-6[/tex] never intersects with the circle [tex]x^{2} +y^{2} =6[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius of [tex]r[/tex] units is given by:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

So, for the circle:

[tex]x^{2} +y^{2} =6[/tex]

[tex]h=0\\k=0\\r=\sqrt{6}\approx 2.54[/tex]

Which is a circle centered at the origin and radius of 2.45.

The line [tex]y=-6[/tex] is a horizontal line with a constant value of -6. Hence, the line never intersect the circle.

I attached you the graphs.

In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.

Answers

Answer:

47.65 ice

Step-by-step explanation:

Hope this helps :)


What is the value of this expression when g=-3.5?
8-12g-51

Answers

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

HELP ME please!!!! this question won’t come up

Answers

Answer:

1st Option

Step-by-step explanation:

Step 1: Convert radicals to exponents

[tex]\frac{(x^2)^{\frac{1}{7}} }{(y^3)^{\frac{1}{5} }}[/tex]

Step 2: Multiply exponents

[tex]\frac{x^{\frac{2}{7} } }{y^{\frac{3}{5} } }}[/tex]

Step 3: Move the y term

[tex](x^{\frac{2}{7} })(y^{\frac{-3}{5} })[/tex]

What is a perfect square? A. a number whose square root is a decimal number that terminates B. a negative whole number C. a number whose square root is a whole number D. a number times itself

Answers

Answer:

The answer is option C.

a number whose square root is a whole number

Hope this helps you

Answer:

C. a number whose square root is a whole number

Step-by-step explanation:

A number whose square root is a terminating decimal is not a perfect square.

A negative whole number cannot be a perfect square.

A number times itself is squared, the number itself is not a perfect square.

The correct answer is option C, a number whose square root is a whole number. For example: 4 is a perfect square.

[tex]\sqrt{4} =2[/tex]

The square root of a perfect square is always a whole number.

Dale is 4 years older than sue. Five years ago the sum of their ages was 64. How old are they now?

Answers

Answer:

39 and 35

Step-by-step explanation:

I need help on this question fast!!

Answers

Answer: y=235x+15

Step-by-step explanation:

Plug in 4 for x

Y= 235(4)+15

Y= 955

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