On a windless day In Janurafy, Carl ties 300 helium filled balloons to his lawn chair 80ft from his 20ft tall house, and begins a vergical ascent into the sky. Hos high is carl when the angle lf depression from carl to the top of his house is 42°

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

θ = 90° - 42° = 48°

The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.

tan(θ) = opposite / adjacent

tan(48) = 80 / h

h = 80 / tan(48)

h = 72.03 ft

h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:

H = h + height of house

H = 72.03 + 20

H = 92.03 ft

Therefore Carl is 92.03 ft high

On A Windless Day In Janurafy, Carl Ties 300 Helium Filled Balloons To His Lawn Chair 80ft From His 20ft

Related Questions

Add the polynomials.
(3x² - 7x+2) + (7x2 - 6x)

Answers

Answer:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

how do u write an expression for "twenty times a number less than two."

a.2 - 20y
b.20y-2
c.20 (y-2)

Answers

C , have a good rest of your day!

Answer:

20(y-2)

Step-by-step explanation:

Can you Help me please lol

Answers

Answer:

Slope is 4/5

Step-by-step explanation:

The two points are (3,3) and (-2,-1)

The slope formula is Y2-y1 / x2-x1

So substituting in

-1-3/ -2 -3

-4/-5 = 4/5

You can check it by "walking" up 5 and over to the right 4 on the graph and see that it works.


Find the value of x.

Answers

Answer

x=7

Step-by-step explanation:

I honestly forgot how to explain but my logic is that 43+137+137+43=360

so, x would equal 7

The value of X would be 7

30 POINTS PLEASE HELP!!!
The ratio of two sides of a parallelogram is 3:4 and the perimeter is 28 in. Find the lengths of the sides of the parallelogram.

Answers

Answer:

the lengths of sides are 8 and 6.

Step-by-step explanation:

Let us denote side lengths of the parallelogram as x and y.  

Then first condition can be written as x/y=3/4.

Second condition can be written as 2x+2y=28.

We can multiply both sides of the first equation by y and get x=(3y)/4.

Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:

 

2(3y/4)+2y=28  

And we can solve it for y.

1.5y+2y=28

3.5y=28

y=8

What is left is to find x. We may use the expression for x again: x=(3*8)/4=6

Ans: the lengths of sides are 8 and 6.

Please help me. Thank you so much

Answers

Answer:

x = 10

Step-by-step explanation:

WRITE AN EQUATION which describes the line that contains (9,4) and has an undefined slope.

Answers

Answer:

x = 9

Step-by-step explanation:

A line with an undefined slope will be a vertical line.

This means the equation of the line will be in x = form, because the line will only go through one x value.

Since the given point has the x value of 9, this means the line will only go through that value.

So, the equation of the line will be x = 9

what is this question??​

Answers

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

What is the equation that best represents the relationship between x and y in the graph?

Answers

Answer:

y= -3/4x-3

Step-by-step explanation:

m= -3/4

y-int.= -3

the root of equation 1/x-1 +1/x-2 = 1/x-3

Answers

Answer:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

As given the equation in the form

Simplify the above equation

(x-2)-x = 3x × (x-2)

x-2 - x = 3x² - 6x

3x² - 6x + 2 = 0          

As the equation is written in the form ax² + bx + c = 0

a = 3 , b = -6 , c = 2

Put all the values in the above equation

Thus

Therefore the roots of the quadratic equation  are  , .

What would Hope be attempting to find if she writes d(4) = 78(4)?

Answers

Answer:

d=78

Step-by-step explanation:

so you would divide both sides of the equation by 2×2

d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone

d=78×4÷(2×2) <- thats the other side of the equation btw

then it would be:

d=39×2

d=78

In an algebraic expression, terms are separated by ___________________?

A:Group of answer choices

parentheses

B: multiplication and division signs

C: addition and subtraction signs

D: fraction bars

Answers

It has to be C- addition and subtraction signs.

2(x + 4) − 1 = 2x + 7

Answers

Answer:

All real numbers are solutions to this problem.

Step-by-step explanation:

I) Simplify:

2(x + 4) - 1 = 2x + 7

x + 4 - 0.5 = x + 3.5 (Divide by 2)

x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)

x = x

II) Conclusion:

Any real number will work as a solution.

True for all x


2x+7=2x+7
-7 -7
2x = 2x
-2x -2x
0=0

maybe that seems right

Which expression is equivalent to x 2 - 17x - 60?

Answers

Answer:

(x-20)(x+3)

Step-by-step explanation:

Answer:

( x − 20)( x + 3)

Step-by-step explanation:

i did the test

2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.

1. Find her earned income level.

2. Entered the base amount. = $

3. Found the amount over $ = $

4. Multiplied line 3 by 25% = $

5. Added Lines 2 and 4 = $

Answers

Answer:

Tax= $ 7,173.5

Step-by-step explanation:

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5

0.4 / 17= what i need help this is ilx ​

Answers

Answer:

.0235294117647

Step-by-step explanation:

Answer:

0.02352941176

Step-by-step explanation:

Solve for x: x + 16 = -18

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x+16=−18

Step 1: Subtract 16 from both sides.

x+16−16=−18−16

x=−34

Answer:

x=−34

6th grade math help me pleaseeee

Answers

Answer:

Top left

Step-by-step explanation:

Look at the numbers it's going through. The x axis is the one going side to side, y is up and down

Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups​

Answers

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

What is AC for brainliest

Answers

Answer : 6.4

Way to do

•Triangle 1

#Find CD first use tan formula

tan(∅) = opposite / adjuscent

tan(45) = CD / 5

CD = 5 × tan(45)

CD = 5

•Triangle 2

#Now you can find AC use Pythagoras theorem (c = AC)

a² + b² = c²

4² + 5² = c²

16 + 25 = c²

41 = c²

c = √41

c = 6.4

so, AC is 6.4

#Give me brainliest ok? im tired writing all of this

La probabilidad de que al tirar un dado, salga 1, es de 1/6. La probabilidad de que salga 3, es de 1/6. Calcular la probabilidad de que al tirar un dado, salga 1 o 3.

Answers

Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.

El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.

Mr Todd buys 7 drinks at 48p each and 8 drinks at 52p each. What is the total cost of the 15 drinks?

Answers

Answer:

80p

if you are adding 4p every time you add a drink you will be adding 7  drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p

Hope this helps

Follow the steps and finish the solution.
7(x-3) = 28
7x-21 = 28
Distributive property
7X=49
Addition property of equality
Division property of equality
X= -
What is the value of x?
O 7
O 9
O 42
056

Answers

Answer:

7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7

Expression 3x²+4x-5
x=0​

Answers

Answer:

x = {1/3, 0}

Step-by-step explanation:

y = 5x - 1
10x - 2y = 2

Answers

Answer:

0 = 0 =>  Infinitely many solutions

Step-by-step explanation:

Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.

Answers

Answer:

12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference  = 2 km/h

As per above info we get following equations:

s = d + 220/s + 1/3 = 20/d

Substitute s and solve for d:

20/(d + 2) + 1/3 = 20/d

Get rid of fraction by multiplying all terms by 3d(d + 2):

60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10

Find s:

s = 10 + 2 = 12

The answer is

Masha's speed 12 km/h and Dasha's speed 10 km/h

Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?

0.8 foot × 1.2 feet
0.4 foot × 0.6 foot
0.08 foot × 0.12 foot
0.04 foot × 0.06 foot

Answers

Answer:

A  

0.8 foot × 1.2 feet

Step-by-step explanation:

The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?

Answers

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

What is Sinusoidal function?

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Learn more about Sinusoidal function here

https://brainly.com/question/12060967

#SPJ2

3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP

Answers

Answer:

Step-by-step explanation:

90(5/6)

450/6

75

9514 1404 393

Answer:

  75

Step-by-step explanation:

90 = 6 × 15

There are 15 6-day periods in 90 days. The gardener will have mowed ...

  15 × 5 = 75

times in those 15 periods.

He will mow 75 times in a 90-day period.

__

If you like, you can set up a proportion for the unknown number of mowings (m).

  mows/days = m/90 = 5/6

Multiply by 90 to solve for m.

  m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above

F(3)=?

f(x)=2x^2+x+7

Answers

The answer would be 28
F(3)=?

f(x)=2x^2+x+7

This simply means where you see x substitute it for 3

F(3) = 2(3^2) + 3 + 7
= 2(9) + 3 + 7
= 18 + 3 + 7
= 28

Therefore F(3) = 28
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