I need help finding the surface area, can someone help

I Need Help Finding The Surface Area, Can Someone Help

Answers

Answer 1

Answer:

1). Surface area of the prism = 112 cm²

2). Area of the sphere = 615.8 cm²

Step-by-step explanation:

1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides

Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                          = [tex]\frac{1}{2}(3)(7)[/tex]

                                          = 10.5 cm²

Area of a rectangle = Length × width

Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)

                                                            = 15 + 40 + 35

                                                            = 90 cm²

Surface area of the prism = (2 × 10.5) + 90

                                           = 21 + 90

                                           = 112 cm²

2). Surface area of the sphere = 4πr²

                                                  = 4π(7)²

                                                  = 615.75

                                                  ≈ 615.8 cm²  


Related Questions

state with triangle congruence postulate explain that the triangles are congruent​

Answers

Answer:  d) Angle-Angle-Side (AAS)

Step-by-step explanation:

See image --> I labeled the angles to show ΔABC and ΔCDE

Here is the proof that shows ΔABC ≡ ΔDEC

Statement                  Reason

1. AB ≡ DE                    1. Given

2. ∠B ≡ ∠E                   2. Given

3. ∠ACB ≡ ∠DCE         3. Vertical Angles

4. ΔABC ≡ ΔDEC         4. AAS Congruency Theorem

We have 2 angles and 1 side so our only options are AAS or ASA.  

We can eliminate ASA because the side is NOT between the angles.

If you follow the path of the triangles; first you have Side (AB ≡ DE), then Angle (∠B ≡ ∠E), then Angle (∠ACB ≡ ∠DCE).  We don't have SAA as an option so follow it backwards and you get Angle-Angle- Side (AAS).

What are the answers? No hurry; I just have other things to do.

Answers

Answer:

what u need help with

Step-by-step explanation:

find the second derivative of the function P(t) =(2t+4)/(t+1)

Answers

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative

write down in terms of n, an expression for the nth term of the following sequences 2 5 8 11 14

Answers

Answer:

[tex]a_{n}[/tex] = 3n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

The expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

Given that,

Sequence; 2, 5, 8, 11, 14.

We have to find, the expression in terms of n for the nth term of the following given sequences?

According to the question,

The nth of the arithmetic sequence is,

[tex]\rm a_n = a+ d(n-1)[/tex]

Where a is the first term of the sequence,

d is the common difference between the terms,

n is the number of terms.

Then,

The given sequence is 2, 5, 8, 11, 14.

Here, the common difference between the terms is 3.

And the first term of the sequence is 2.

Substitute all the values in the formula,

Therefore,

The nth term of the given terms is,

[tex]\rm a_n = a+ d(n-1)\\\\a_n = 2+ 3(n-1)\\\\a_n + 2+3n-1\\\\a_n = 3n-1[/tex]

Hence, The required expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

For more details refer to the link given below.

https://brainly.com/question/17043393

The domain of the function is given. Find the range.
f(x) = 2x - 1
Domain: (-2, 0, 2, 4)
Range: (5,1, -3,7)
Range: (-5, 1, -3,7)
Range: (-5, -1,3,7)
Range: [5, 1, +3, +7)

Answers

Answer:

Range={ -5,-1,3,7). [ option C]

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

5,-5,1,-3,7,3,
Explanation is that I’m guessing that this is the answer

There are 80 picnic tables at the park. During the first weekend of the summer, there were 40 available tables. During the second weekend of the summer, there were 20 available tables. During the third weekend of the summer, there were 10 available tables. Based on the pattern, how many picnic tables will be available during the fourth weekend of the summer?




will mark brainliest

Answers

Answer:

5

Step-by-step explanation:

We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.

-Common Core Math I A: P CR 46.27
Using Function Noiation
Try it
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statement.
f(3) is
0
0
3
3
-1
9
→ 9
What is f

Answers

Answer:

The answer to f is 9 hope this helps can you make me answer brianlest

Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?

Answers

Answer:

In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no.

Answer:

no shes wrong it does not hold a liter

Step-by-step explanation:

If m vb = 60 and m bs =30 then m 3 =. 30 45 15

Answers

Answer:

Option (3)

Step-by-step explanation:

PB is a tangent and PV, PU are the secants drawn to the circle.

[tex]m(\widehat {VB})[/tex] = 60° and [tex]m(\widehat{BS})[/tex] = 30°

By theorem of tangent and secants,

"When a tangent and secant are drawn from a point outside the circle, then the measure of the angle formed is one half the difference of intercepted arcs."

m∠BPV = [tex]\frac{1}{2}[m(\widehat{BV}-m(\widehat{BS})][/tex]

    m∠3 = [tex]\frac{1}{2}[60-30][/tex]

    m∠3 = 15°

Therefore, Option (3) will be the answer.

Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answers

Answer:

[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]

The surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

What is a triangular prism?

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a triangular prism, is showing in the picture:

Here  a = 25

b = 25

c = 14

h = 44

The surface area of the triangular prism is given by:

[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]

Plug all the values in the formula we get:

A = 3152 square cm

Thus, the surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

Learn more about triangular prisms here:

https://brainly.com/question/16909441

#SPJ2

Please help! Correct answer only!

For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

answer quickly plzzz

Answers

Answer:

Your answer of [tex]-\frac{39}{8y}[/tex] is correct

Step-by-step explanation:

We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]

First, we need to find a common denominator, which in this case would be 8y.

To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]

[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]

Now we can add them to get our final answer.

[tex]-\frac{39}{8y}[/tex]

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

(x+2)²+1

Step-by-step explanation:

because the graph we know that gx is (x+2)²+1

Simplify
8c^3d^2
4cd^2

Answers

Answer:

[tex]2c^{2}[/tex]

Step-by-step explanation:

[tex]\frac{8c^33d^2}{4cd^2}[/tex]

[tex]\frac{2c^2d^0}{1}[/tex]

Answer:

[tex]2 {c}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]

we know that,

[tex] {d}^{0} = 1[/tex]

so,

[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

How do I solve this problem??

Answers

Answer:

3/10 m^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and then divide that by 2

2/5 × 3/2 ÷ 2 = 3/10

Please help ! I don’t understand :(

Answers

Answer:

A. The number quadrupled each week

Step-by-step explanation:

f(x)= 3(4)^x

As per the function, each week number increases 4 times

So the answer choice is A



Which quantity does this number line represent?
A) less than 5
B) less than 4
C) less than 3
D) less than or equal to 4

Answers

D BECAUSE LOOK AT THE TIME LINE

Vx
Below is a scale drawing of a stage that Syla is designing,
8 cm
5 cm
Using the scale 1 cm: 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the
scale to 1 cm 10 m. What is the width of the new stage?
35 m
50 m
56 m
80 m
Save and Exit
Next
Submit
Mark this and return
PA-Common Core...

Answers

Answer:

I beleive the new stage would be 50 meters wide

Step-by-step explanation:

I took the quiz on ed

Y=0.8x+72
20x+32y=43

Answers

Answer:

1:    Y=0.8x+72         =         x=1.25y−90

2: 20x+32y=43          =          x= -8/5y + 43/20

First question steps:

Solved for x

Step 1: Flip the equation.

Step 2: Add -72 to both sides.

Step 3: Divide both sides by 0.8.

Second question steps:

Step 1: Add -32y to both sides.

Step 2: Divide both sides by 20.

Answer:

1:    Y=0.8x+72         =         x=1.25y−90

2: 20x+32y=43          =          x= -8/5y + 43/20

Please mark me brainliest

Hope this helps.

Divide £24 in the ratio 1:3

Answers

Answer:

6, and 18

Step-by-step explanation:

A ratio of 1:3 contains 4 parts because 1+3=4.

Therefore, divide 24 by 4 to get 6.

The number is split between three parts and one part, so the parts are 3(6) and 1(6).

The parts are 6 and 18

This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar

Answers

Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar

Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5

250 * 4/5 = 200 grams

1.2* 4/5 = 0.96 liters

90* 4/5 = 72 grams

The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is:

Answers

Answer:

5 meters

Step-by-step explanation:

The perimeter of a rectangle can be expressed as 2l+2w.

2l+2w=50

l=w+15

Substitute:

2(w+15)+2w=50

2w+30+2w=50

4w+30=50

4w=20

w=5

Hope this helps!

A (x+4,y-2)
B (x+2,y-1)
C (x-2,y+1)
D (x-4,y+2)​

Answers

[tex]answer \\ = (x - 2, y + 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment... \: [/tex]

C is the answer to your question

Which of the following is Th e equation of the boundary line shown in the following inequality?


a. y = -x + 3/5

b. y= -x + 5/3

c. y= 3/5x - 1

d. y= 5/3x - 1

Answers

Answer:

The answer is C.

Step-by-step explanation:

Mark me brainiiest.✌✌

What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^ 2)/(2 ^ 2) = 1

Answers

Answer:

hey did you happen to get the answer for this?

Step-by-step explanation:

The answer is -2.0 and 2.0

0.3y-0.3=0.4-0.4y
A=7
B=-1
C=-7
D=1

Answers

Answer: The answer is D: 1 (Vote me brainliest)

Answer:

y=1

Step-by-step explanation:

0.3y-0.3=0.4-0.4y

+0.4y

0.7y-0.3=0.4

               +0.3

0.7y=0.7

        -----

        0.7

y=1

Which complex number has a distance of V17 from the origin on the complex plane?
O 2 + 151
O 17 +7
O 20 – 3i
O 4-7

Answers

Answer:

[tex]4-i[/tex]

Step-by-step explanation:

Use the formula for the distance of a complex number from the origin on the complex plane.

[tex]\sqrt{a^2+b^2}[/tex]

[tex]a+bi[/tex]

[tex]4-i[/tex]

[tex]\sqrt{4^2-i^2}[/tex]

[tex]\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}[/tex]

The complex number that has a distance of [tex]\sqrt{17}[/tex] is [tex]4-i[/tex].

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

How to determine the distance of a complex number

Complex numbers are a generalization from real numbers, whose expression are of the form a + i b, where a and b are the components of the real and imaginary components, respectively. The magnitude of complex numbers is determined by Pythagorean theorem, this is, the distance from the origin to the location of the number on the complex plane:

[tex]r = \sqrt{a^{2}+b^{2}}[/tex]

If we know that a = 4 and b = -1, then the magnitude of the complex number is:

[tex]r = \sqrt{4^{2}+(-1)^{2}}[/tex]

[tex]r = \sqrt{17}[/tex]

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

Remark

The statement presents several typing mistakes, correct form is shown below:

Which complex number has a distance of [tex]\sqrt{17}[/tex] from the origin on the complex plane?

A. 2 + i 15

B. 17 + i

C. 20 - i 3

D. 4 - i

To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853 #SPJ5

Which measurements could be the length of the third
side? Select all that apply.
A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches
19 inches
0 21 inches
D 35 inches
45 inches
in ohon

Answers

Answer:

35 and 21

Step-by-step explanation:

the sum of the two lengths of two sides must be greater than the length of the third side.

10+30=40

45 doesn't work: 40<45.

10+19=29

29<30

19 doesn't work

10+21=31

31>30

21 works

35+10=45

45>30

35 also works

Answer:

35 and 21, good luck!! sorry I'm late

Ghani is going to use these instructions to make a fizzy drink instruction: mix 5 parts of lime juice with 3 parts of lemonade ghani thinks thats he has 300ml of lime juice and 200ml of lemonade if he is correct what is the greatest amount of fizzy drink can he make?

Answers

Answer: 480 ml

The greatest amount of fizzy drink can he make is 480 ml

Step-by-step explanation:

Given;

Mixing ratio = 5 : 3

Volume of lime juice = 300ml

Volume of lemonade = 200ml

From the given ratio;

5 ml of lemon juice needs 3 ml of lemonade to make 8 ml of fizzy drink.

Assuming all the lemon juice were used;

For 300ml of lemon juice,

It'll require 300/5 × 3 ml of lemonade.

Volume of lemonade needed V2= 300/5 × 3 = 180 ml

Volume of fizzy drink = volume of lemon juice + volume of lemonade

Volume of fizzy drink = 300ml + 180ml = 480ml

The greatest amount of fizzy drink can he make is 480 ml

System of Linear Equations

through Elimination
Question #1:

Solve the system of equations. Solve for 'x' and 'y' and show your work.

x- y=7
x + y = 5

Answers

Answer:

X=6

Y= - 1

Step-by-step explanation:

X-y =7

X+y =5 cross - y and y

_______

X+x =7 +5

2x= 12

X= 12/2

X= 6

Replace X in first equation:

X - y =7

6 - y =7

6 - 7 =y

y = - 1

Hope this helps you.. Good Luck!

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