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3 years ago

Joseph made a model rocket by attaching a cone

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

Answer:

Area = 270π inches squared. Volume = 550π inches cubed

Step-by-step explanation:

Surface Area:

Cylinder Area=2πrh+2πr^2= 180π+50π=230π inches squared.

Cone Area = πr(r+√(h^2+r^2)) = 5π(18) = 90π inches squared.

Total Area = 230π+90π = 320π inches squared.

Total Area - base = 320π-50π = 270π inches squared.

Volume:

Cylinder volume = πr^2h = 450π inches cubed

Cone volume = πr^2(h/3) = 100π inches cubed

Total Volume = 550π inches cubed

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10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

Please help!!! A. 21890/990 B.21539/9990 C.215605/1010 D. 215605/1000

ollegr [7]

Answer:

The answer I got was D 215605/1000

5 0

3 years ago

путешествиники добирались до города 3 часа на автобусе 7 часов на поезде и 5 часов плили на лодке сколько всего часов они были в

Rasek [7]

Answer:

Ответ - 15.

Step-by-step explanation:

Путешественники добирались до города на разных транспортах. Чтобы найти общее время, пройденное этими людьми, если 15. Добавьте 3 к 7, а затем прибавьте к нему 5.

7 0

3 years ago

What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x +

Free_Kalibri [48]

The right answer is Option D.

Step-by-step explanation:

Given equations are;

2x+4y=3 Eqn 1

x+3y=13 Eqn 2

When we use subtraction-addition method, we make one of the variables same with opposite signs so that only one variable remains after addition or subtraction.

In the given problem, we will multiply Eqn 2 with "-2" so that the x variables become equal and then we can add both the equations and solve for y.

Therefore,

The first step will be to multiply the second equation by -2 to solve the linear system of equations.

The right answer is Option D.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the side

Nikolay [14]

Area of square c2 = -area of square a2 - area of square b2 + area of defect1 * area of defect2

6 0

3 years ago