A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 980 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 47.3. The angle of elevation from sea level to the top of the lighthouse is 51.3. Find the height of the lighthouse from the top of the cliff.

Answers

Answer 1

Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.

What is the Tangent Ratio?

For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.

Find the height of the light house and the cliff using the tangent ratio:

tan 51.3 = height/980

Height of lighthouse + cliff = (tan 51.3)(980)

Find the height of the cliff only using the tangent ratio:

tan 47.3 = height/980

Height of cliff = (tan 47.3)(980)

Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)

Height of the lighthouse from the top of the cliff ≈ 161.2 meters.

Learn more about the tangent ratio on:

https://brainly.com/question/4326804

#SPJ1


Related Questions

It’s geometry… need help solving

Answers

Answer:

Angle 1 = 90 degree

Angle 2 = 55 degree

Angle 3 = 35 degree

Step-by-step explanation:

A rhombus has four equal sides. Since the intersection angle of a rhombus is always 90 degree, angle 1 is 90 degree

Angle 3 = 180 degree - 90 degree - 55 degree = 35 degree

Angle 2 = 180 degree - 90 degree - 35 degree = 55 degree

A boat heading out to sea starts out at Point A, at a horizontal distance of 1315 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 12°. At some later
time, the crew measures the angle of elevation from point B to be 8°. Find the
distance from point A to point B. Round your answer to the nearest foot if
necessary.

Answers

Answer: 674 ft

Step-by-step explanation:

[tex]\tan 12^{\circ}=\frac{y}{1315} \\ \\ 1315\tan 12^{\circ}=y[/tex]

[tex]\tan 8^{\circ}=\frac{y}{x+1315} \\ \\ (x+1315)\tan 8^{\circ}=y \\ \\ (x+1315)\tan 8^{\circ}=1315 \tan12^{\circ} \\ \\ x \tan 8^{\circ}+1315 \tan 8^{\circ}=1315 \tan 12^{\circ} \\ \\ x \tan 8^{\circ}=1315 \tan 12^{\circ}-1315 \tan 8^{\circ} \\ \\ x=\frac{1315 \tan 12^{\circ}-1315 \tan 8^{\circ}}{\tan 8^{\circ}} \approx \boxed{674 \text{ ft}}[/tex]

Find the length of the curve.
x=3t² +5₁y = 2t³ +5,0 ≤t≤1

Answers

The length of the curve will be given by the definite integral

[tex]\displaystyle \int_0^1 \sqrt{\left(\frac{dx}{dt}\right)^2 + \left(\frac{dy}{dt}\right)^2} \, dt[/tex]

From the given parametric equations, we get derivatives

[tex]x(t) = 3t^2 + 5 \implies \dfrac{dx}{dt} = 6t[/tex]

[tex]y(t) = 2t^3 + 5 \implies \dfrac{dy}{dt} = 6t^2[/tex]

Then the arc length integral becomes

[tex]\displaystyle \int_0^1 \sqrt{\left(6t\right)^2 + \left(6t^2\right)^2} \, dt = \int_0^1 \sqrt{36t^2 + 36t^4} \, dt \\\\ = \int_0^1 6|t| \sqrt{1 + t^2} \, dt[/tex]

Since 0 ≤ t ≤ 1, we have |t| = t, so

[tex]\displaystyle \int_0^1 6|t| \sqrt{1 + t^2} \, dt = 6 \int_0^1 t \sqrt{1 + t^2} \, dt[/tex]

For the remaining integral, substitute [tex]u = 1 + t^2[/tex] and [tex]du = 2t \, dt[/tex]. Then

[tex]\displaystyle 6 \int_0^1 t \sqrt{1 + t^2} \, dt = 3 \int_1^2 \sqrt{u} \, du \\\\ = 3\times \frac23 u^{3/2} \bigg|_{u=1}^2 \\\\ = 2 \left(2^{3/2} - 1^{3/2}\right) = 2^{5/2} - 2 = \boxed{4\sqrt2-2}[/tex]

correlation and regression analysis​

Answers

So basically what you want to do is make the

Based on the measures
provided in the diagram,
determine the measure of
BC.
(You may assume that point A is the
center of the circle.)
O 130⁰
O 25⁰
O 50⁰
O 100⁰

Answers

The measures of BC will be 100°. Option D is correct.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

The angle at the center is twice as large as the angle at the perimeter.

BC = 2 ×∠CDB

BC=2×50°

BC= 100°

Hence option D is correct.

To learn more about the circle, refer to the link: https://brainly.com/question/11833983.

#SPJ1

Solve the system of equations
−5x−3y=−28 and x+2y=0 by combining the equations

Answers

Answer: (8, -4)

Step-by-step explanation:

-5x - 3y = -28
  x + 2y = 0

1. Multiply both sides of the bottom system by 5 to cancel the x out

   5(x+2y=0)

   5x + 10y = 0

2. rewrite

   -5x - 3y = -28

    5x + 10y = 0

3. add

   0x + 7y = -28

4. divide by 7

   7y = -28

5. y = -4

6. plug in -4 for y in one of the original equations

   x + 2(-4) = 0

7. simplify

   x = 8

9. solution is

   (8, -4)

The height of an arrow is shot upward at an initial velocity of 40 meters per second can be modeled by h=40t-5t^2 where h is the height in meters and t is the time in seconds. Find the time is take for the arrow to reach the ground. Can someone please explain this to me thanks

Answers

We are given the equation for the height of the arrow. If you graph it, you see that it's a parabola and that the arrow kinda peaks and then falls back down. Another way of thinking about this problem is that you're looking for the time when the height is 0. You can see on the graph that there are two times that h=0. The first is obviously at t=0, when the arrow hasn't left the ground yet. The second is what we're looking for, when the arrow reaches the ground.

To solve this, let's set h=0. So 0=40t-5t^2. If you factor this, you get 5t(8-t) = 0. Continuing that leads to 5t=0 where t=0 which we already knew, and 8-t=0 where t=8. So that second time is when the arrow is back on the ground. Therefore your answer is 8 sec.

(01.06 LC)
Which number is not in scientific notation?

Answers

Answer:

[tex]0.95*10^8[/tex]

Step-by-step explanation:

Hello!

Rules for scientific notation format:

Has to be multiplied to a power of 10One factor has to be greater than 1 but less than 10

[tex]\bold{0.95*10^8}[/tex]

There is a multiplication to a power of 10, but the other factor is less than 1.

This is NOT in Scientific Notation.

All the other options have a multiplication operation to a power of 10, and all the other factors are above 1 and less than 10.

a rectangular mural measures 3.5ft by 5.5ft. Rosalie creates a new mural that is 1.5 ft longer. What is the perimeter of Rosalie's new mural?

Answers

The perimeter of Rosalie's new rectangular mural is given by P = 21 feet

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangular mural be represented as P

Now , the equation will be

Let the initial length of the rectangular mural be L = 3.5 feet

Let the initial width of the rectangular mural be W = 5.5 feet

Now , the new mural is having an extra length of 1.5 feet

So , the new length of the rectangular mural is L₁ = 3.5 + 1.5 = 5 feet

Now , Perimeter P of rectangle = 2 ( Length + Width )

Substituting the values in the equation , we get

Perimeter of rectangular mural = 2 ( 5 + 5.5 )

On simplifying the equation , we get

Perimeter of rectangular mural P = 2 x 10.5

Perimeter of rectangular mural P = 21 feet

Hence , the perimeter of rectangular mural is 21 feet

To learn more about perimeter of rectangle click :

https://brainly.com/question/15725265

#SPJ1

Answer:

1400

Step-by-step explanation:

Need help with my question

Answers

Answer:

See below ~

Step-by-step explanation:

What is the rat population in 1993?

⇒ Number of years since = 0 ⇒ t = 0

⇒ Apply in the formula

⇒ n(0) = 73e^(0.02 × 0)

⇒ n(0) = 73e⁰

⇒ n(0) = 73,000,000 rats

=============================================================

What does the model predict the rat population was in the year 2009?

⇒ Number of years since 1993 : 2009 - 1993 = 16 ⇒ t = 16

⇒ Applying in the formula

⇒ n(16) = 73e^(0.02 × 16)

⇒ n(16) = 73e^(0.32)

⇒ n(16) = 73 × 1.37712776 × 10⁶

⇒ n(16) = 100.530326 x 10⁶

⇒ n(16) = 100,530,326 rats

Answer:

Given function:  

[tex]\large \text{$ n(t)=73e^{0.02t} $}[/tex]

where:

t is the number of years since 1993n(t) is the rat population measured in millions

To calculate the rat population in 1993, substitute [tex]t = 0[/tex] into the function:

[tex]\large \begin{aligned}\implies n(0) & =73e^{0.02(0)}\\& = 73 \cdot 1\\& = 73 \sf \: million\end{aligned}[/tex]

To calculate a prediction of the rat population in 2009, first determine the value of t by subtracting the initial year of 1993 from the given year of 2009:

[tex]\large \text{$ \implies t=2009-1993=16 $}[/tex]

Substituting the found value of t into the function to find the predicted number of rats in 2009:

[tex]\large \begin{aligned}\implies n(16) & =73e^{0.02(16)}\\& = 73e^{0.32}\\& = 100.5303268...\\ & = 100.5 \sf \: million\:(1\:dp)\end{aligned}[/tex]

[tex]-3/z+7/4z=5/z-25[/tex]

Answers

Answer:

z = 1/4

Step-by-step explanation:

See attached image

Answer:

z = 5

Step-by-step explanation:

simplify

5/(z-25) first

turning it into

((0 - 3/z) + 7/4z) - 5/(z - 25) = 0

then simplify 7/4z

((0 - 3/z) + 7/4z) - 5/(z-25) = 0

when the fractions denominator is 0 then the numerator must be 0

turning the equation into

-25  *  (z - 5)  = 0

solve

-25   =  0

something that is not zero cannot equal zero.

z - 5 = 0

5 - 5 = 0

z = 5

hope this helps:)

Joan has some dimes and quarters. If she has 19 coins worth a total of $2.35, how many of each type of coin does she have?

Answers

The number of each type of coin that Joan has are; 16 dimes and 3 quarters

How to convert currencies?

We are told that Joan has a total of 19 coins.

Now, the worth of the coins is $2.35

Let dimes be d and let quarters be q. Thus;

10d + 25q = 235

d + q = 19

Substitute d = 19 - q in the 1st equation to get;

10(19 - q) + 25q = 235

190 - 10q + 25q = 235

15q = 45

q = 45/15

q = 3

Thus;

d = 19 - 3

d = 16

Read more about Currency Conversion at; https://brainly.com/question/1306721

#SPJ1

Which item is the U.S. Treasury most known for issuing?
-CDs
-savings notes
-bonds
-investment notes

Answers

Answer:

Bonds

Step-by-step explanation:

A bond is a fixed-income instrument that represents a loan made by an investor to a borrower (typically corporate or governmental).

Which of the following is equal to this expression?

(256·64)^1/4
A) 4·[tex]\sqrt[4]{4}[/tex]
B) 8·[tex]\sqrt[4]{4}[/tex]
C) 8·[tex]\sqrt[4]{2}[/tex]
D) 2·[tex]\sqrt[4]{2}[/tex]

Answers

Answer:

B) [tex]8\sqrt[4]{4}[/tex]

Step-by-step explanation:

[tex](2^{8} *2^{6} )^\frac{1}{4} = (2^{8+6} )^\frac{1}{4} =(2^{14} )^\frac{1}{4} =2^{\frac{7}{2} }=\sqrt{2^{7} } =2^{3} \sqrt{2} =8\sqrt{2} = 8\sqrt[4]{2^{2} } = 8\sqrt[4]{4}[/tex]

Here are two fractions.
7/6
6/7
Work out which of the fractions is closer to 1
You must show your working.
Here are two fractions.

Answers

The correct answer is 6 / 7 as it is closer to 1.

What is a fraction?

The fraction is defined as the division of the whole part into an equal number of parts.

The number near 1 will be calculated as:-

7/ 6 = 1.1666

6 / 7 = 0.8571

Difference of the first ratio from one.

1.1666 - 1  = 0.1666

Difference of the second ratio:-

1 - 0.8571 = 0.1429

So the difference of 6 / 7 is lower than the difference of the fraction 7 / 6 from one.

Therefore the correct answer is 6 / 7 as it is closer to 1.

To know more about fractions follow

https://brainly.com/question/78672

#SPJ1

A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.

What was the original height of the water in the pool in feet?
4.5
5.0
6.5
7.0

Answers

An equation is formed of two equal expressions. The original height of the water in the pool in feet is 5.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation, 4.75 = x + (-0.25) can be used to find x, the original height of the water in a pool. Therefore, the height of the fool in the beginning is,

4.75 = x + (-0.25)

4.75 + 0.25 = x

x = 5

Hence, the original height of the water in the pool in feet is 5.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Find the area of the following parallelgram

Answers

Answer:

6 cm²

Step-by-step explanation:

The formula to find the area of the parallelogram is :

Area = Base × Height

Given that,

Base ⇒ 3cm

Height ⇒ 2 cm

Let us find now.

Area = Base × Height

Area = 3cm × 2cm

Area = 6 cm²

in euclidean geometry any three points not on the same line can lie on how many planes?

Answers

Answer:

  1 plane

Step-by-step explanation:

In Euclidean geometry, three non-collinear points will define exactly one plane.

__

Two points will define a line. That line can exist in an infinity of different planes.

A third point not on the line can only lie in exactly one plane with that line.

Three non-collinear points in Euclidean geometry can lie on one unique plane.

In Euclidean geometry, any three non-collinear points (points not lying on the same line) uniquely determine a plane.

This means that there is only one plane that contains all three of those points.

So, given three non-collinear points, you can find exactly one plane that passes through all of them.

Hence, if the three points not on the same line can lie on one plane.

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ3

Match the average rates of change of f(x) to the corresponding intervals.
-3
-8
-7
[-5, -1]
[-4,-1]
[-3, 1]
[-2, 1]

Answers

The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

What is the explanation for the above?

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
https://brainly.com/question/25184007
#SPJ1

PLEASE HELP! YOU WILL GET 100 POINTS! SUPER CONFUSED NEED HELP AS SOON AS POSSIBLE THIS IS DUE SOON!!! QUESTION IN PICTURE BELOW!

Answers

Answer:

Q = 40.6°

Explanation:

Given three sides: 9.6, 8.1, 6.3

Use the cosine rule:

c² = a² + b² - 2ab cos(C)

Insert following variables:

6.3² = 9.6² + 8.1² - 2(9.6)(8.1) cos(Q)

39.69 = 157.77 - 155.52 cos(Q)

cos(Q) = -118.08/-155.52

cos(Q) = 41/54

Q = cos⁻¹(41/54) = 40.6°

Put these numbers in order, starting with the largest.
Largest
293,000
545,417
779,500
459,300
273,481
Smallest

Answers

since its largest to smallest, start with the bigger numbers! your answer will be
779,500 545,417 459,300 293,000 273,481

hope this helps, please mark brainliest :))
779500
545417
459300
293000
273481

please please help. i need to submit this in 15 minutes!!!

Answers

∆ADB is ~ ∆BEC because <D and <E are right angles which are equal to 90°.

What is a right angle?

A right angle is defined as an angle that is formed when two straight line are perpendicular at an intersection creating a 90° angle when measured.

From the diagram, ∆ADB is ~ ∆BEC because <D and <E are right angles which are equal to 90°.

Learn more about angles here:

https://brainly.com/question/64787

#SPJ1

A bag has 9 blue cubes, 11 red cubes, and 5 green cubes. If you
draw a cube and replace it in the bag 250 times, which of the
following amounts would you expect to pull?

Answers

The numbers that can be pulled based on the probability of the calls will be 90, 110, and 50.

How to depict the probability?

From the information given, the bag has 9 blue cubes, 11 red cubes, and 5 green cubes and when one draws a cube and replace it in the bag 250 times, the number of blue balls that can be gotten will be:

= 9/(9+ 11 + 5) × 250

= 9/25 × 250

= 90

The number of red balls that can be gotten will be:

= 11/25 × 250

= 110

The number of green balls that can be gotten will be:

= 5/25 × 250

= 50

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Triangle
ABC
GHI
DEF
S
NU
H"
Dimensions
2, 4, 5
5,5,9
4,4,4
Classify by
Sides
E
Classify by
Angles

Answers

Answer:

See below ~

Step-by-step explanation:

Classifying the triangles by sides and angles :

Triangle ABC

⇒ By Sides : Scalene (All sides are unequal)

⇒ By Angles : Right (There is a right angle = 90°)

============================================================

Triangle GHI

⇒ By Sides : Isosceles (2 sides are equal)

⇒ By Angles : Obtuse (One angle is greater than 90°)

============================================================

Triangle DEF

⇒ By Sides : Equilateral (All sides are equal)

⇒ By Angles : Acute (All angles are less than 90°)

The solution to an absolute value inequality is shown on the graph below.
-5-4-3-2-1 0 1 2 3 4 5
What is another way to show the solution?
O x>-3 or x < 2
O {x|x <-3 orx <2}
O [-3, 2]
O (-3,2)

Answers

The solution to the absolute value inequality is (-3,-2)

How to determine the absolute inequality?

On the absolute value inequality, we have:

Interval = -3 to 2

The intervals are represented with open circles.

This means that -3 and 2 are exclusive of the values of the inequality.

So, we have:

-3 < x < 2

As an interval notation, we have:

(-3,-2)

Hence, the solution to the absolute value inequality is (-3,-2)

Read more about absolute value inequality at:

https://brainly.com/question/13282457

#SPJ1

what is the sum of the exterior angles of 28-gon

Answers

Answer:

360 degrees

..............


A woman sprints at a rate of 19 ft/s. How many minutes will it
take her to sprint 600 feet ?

Answers

[tex]\begin{array}{ccll} feet&seconds\\ \cline{1-2} 19 & 1\\ 600& x \end{array} \implies \cfrac{19}{600}~~=~~\cfrac{1}{x} \\\\\\ 19x=600\implies x=\cfrac{600}{19}\implies \stackrel{\textit{about half a minute}}{x\approx 31.58~seconds}[/tex]

Answer:

  10/19 min ≈ 0.5263 min

Step-by-step explanation:

The woman's sprinting speed is given in feet per second, and we are asked for it in minutes per 600 feet. To find the time, we can use the relation ...

  time = distance / speed

Using the given numbers will give a time in seconds, so we need to do a units conversion to find the answer in minutes.

__

setup

  time = distance/speed

  time = (600 ft) / (19 ft/s) = (600/19) s

Converting the units gives ...

  time = (600/19) s × (1 min)/(60 s) = (600·1)/(19·60) min

evaluation

The time it takes the woman to sprint 600 feet will be ...

  time = 600/(19·60) min = 10/19 min ≈ 0.5263 min

Construct a triangle with the given conditions. Questions are on the picture.

Answers

Answer + Step-by-step explanation:

Question 4 :

Construct the angle 0MN :

1) Draw a segment MO

2) Put the protractor so that it is in line with the segment MO

At the same time ,line up the points M with the little circle of the protractor.

3) Spot 40° on the protractor ,then draw a point.

4) Use the ruler to connect point M through that point

Construct the angle MON :

1) Put the protractor so that it is in line with the segment MO

At the same time ,line up the points O with the little circle of the protractor

2) Spot 70° on the protractor ,then draw a point.

3) Use the ruler to connect point O through that point.

Construct the point N :

N is the point of intersection of the lines that go (respectively) through M and O.

Question 6 :

1) Draw a segment XZ such that XZ = 2.

2) construct the angle ZXY = 25°.   (follow the steps described in the Previous question).

NOTE : ∠Z = 180 - (∠X + ∠Y) = 180 - (25 + 45) = 110°

3) construct the angle XZY = 110° .  (follow the steps described in the Previous question)

4) Y is the point of intersection of the lines that go (respectively) through X and Z.

can you help me with this question

Answers

M to the second power is 36, as 6= m and 6x6 = 36, 36 - 17 = 19. Hope this helps!

Use four unit multipliers to convert 120 square inches to square yards.

Answers

The conversion of 120 sq. inches is equivalent to 0.09264 sq. yd.

What is Conversion?

Conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.

Here, we know that,

    1 square inches = 0.000772 sq yd

we have 120 sq. inches

so, 120 sq. inches = 120 X 0.000772 sq yd

                              = 0.09264 sq. yd.

Thus, the conversion of 120 sq. inches is equivalent to 0.09264 sq. yd.

Learn more about Conversion from:

https://brainly.com/question/13266623

#SPJ1

Other Questions
Which type of scientific statement is defined as a statement of fact that is generally accepted to be true and universalbecause it has always been observed to be true?O theoryO probabilityOlawOhypothesis Identify and explain at least one inner conflict encountered by huck in chapters 14-16. use at least 50 words and include a specific example. Anthony borrowed $158 from a friend ,Josue . He paid josue $89 of the money back how much money does Anthony still owe josue? use the FOIL method to solve:(x+4)(x-7) It costs a family $348.00 to buy a 15-ft-by-16-ft rug. If the cost is proportional to the area,what will it cost the family to buy a 10-ft-by-11-ft rug?$89.66$188.50$240.00$159.50 !!50 POINTS!! Better Buy?You are planning an end of the year party for your math class. Your teacher needs to help deciding which products are the better buy.Directions: Determine the unit rate for each brand and determine what is the best purchase item. !!SHOW WORK!!(If you help with this please check out my profile for more questions that need answers by TOMORROW!) it rained on 3/7 of days write the rof the days it rained to number of days how do i math good as a teacher Unfortunately I still have school could anybody help me please?MATH 2Standard G-SRT.8.1 i will mark as brainiest Sin 0 = -8/17 and cos 0 = 15/17 find tan0 list jobs that hire 14 years olds in harrisburg pa Yo (limpiar) ________________ mi cuarto el lunes pasado.Su abuela (escuchar) ______________ la cancin nueva.Tus (usar) hermanos _________________ tu computadora anoche.Ella, l y t (calificar) ________________ los exmenes juntos.Ella, l y yo (patinar) __________________ sobre hielo.Amalia (planchar) _________________ la ropa limpia.Jaime (lavar) _________________ la ropa sucia.Nosotros (terminar) _______________ la tarea How many moles of a gas are contained in 2.085 L at STP?A. 0.0931 molB. 10.8 molC. 10.3 molD. 1.11 mol Find the value of c 3-2(1 + 6c) = -35 Each year, the Green Valley School spring carnival features the Jelly Bean Guessing Game. To set up for the game this year, the principal used 6 small boxes of jelly beans to fill a large glass jar. Each box had the same number of jelly beans, for a total of 324 jelly beans.Let j represent the number of jelly beans in each box. Which equation models the problem? Just a little help :,(Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.9 in.in.3 in.The volume is about which of this numbers cannot probability?a. 20% b. 0.5 c. 1.001 d. 0 What should your units on your base area calculations be, and why? How is this different from the units on your volume calculations? Explain in two to three sentences. three steps to help you hone your agility skill are: