Find the following, giving your answers to 1 decimal place?

Find The Following, Giving Your Answers To 1 Decimal Place?

Answers

Answer 1

Answer:

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Step-by-step explanation:

Given the following data;

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] Volume = \frac{1}{3} * 3.142*6^{2}*8 [/tex]

[tex] Volume = \frac{1}{3} * 3.142*36*8 [/tex]

[tex] Volume = 3.142*12*8 [/tex]

Volume = 301.6 cm³ (to 1d.p)

b. The curved surface area of the cone

[tex] CSA = \pi rl[/tex]

Where;

CSA is the curved surface area of the cone.r is the radius of the base of the cone.l is the curved length of the cone.

Substituting into the equation, we have;

[tex] CSA = 3.142*6*10 [/tex]

CSA = 188.5 cm² (to 1d.p)


Related Questions

An item has a listed price of $50. If the sales tax rate is 9% , how much is the sales tax (in dollars)?

Answers

Answer:

$4.50

Step-by-step explanation:

50 x 0.09 = 4.5

Ginger mows 3/4 acre in 7/4 hours. What is her unit rate of averse mowed per hour

Answers

1/3 good luck I hope it’s right

Sasha is becoming a stronger runner. Last year she ran five miles in 50 minutes. This year her timing improved by 20%. How long does it take her to run five miles?

Answers

Answer:

40 minutes

Step-by-step explanation:

Last year she ran five miles in 50 minutes

This year her timing improved by 20%. This means she runs 5 miles in 20% less time than last year

How long does it take her to run five miles?

= 50 minutes - 20% of 50 minutes

= 50 minutes - 20/100 * 50 minutes

= 50 minutes - 0.2 * 50 minutes

= 50 minutes - 10 minutes

= 40 minutes

This year, it takes her 40 minutes to run 5 miles

30 POINTS REAL ANSWERS ONLY
If a horizontal line is translated six units to the left, which of the following is true?

The new line has a different y-intercept but the same slope.


The new line has a different slope but the same y-intercept.


The original line and the new line are parallel.


The original line and the new line are the same.

Answers

Answer:

The original line and new line are the same.

Step-by-step explanation:

Lines have infinite length. Translating a horizontal line to the right or left will give the same line.

I need a explanation plz. Doesn't have to be perfect.

Answers

They arrive at the same answer because Jenna used the distributive property while Mia used the order of operations PEMDAS. In a lot of aspects of math, there are many approaches to reach the same answer.

Jenna's approach makes more sense, in my opinion, because when we multiply large numbers we're going to use the distributive property anyway. So why not just have it written down instead of done mentally in our head.

As a visual way to see why this works, check out the diagram below. We have a rectangle with height 5. The length of 34 is broken up into 30 and 4, so 34 = 30+4.

The blue portion has area of 5*30 = 150, while the red portion has area of 5*4 = 20. The two regions combine to 150+20 = 170.

So this diagram shows why Jenna's method is valid. Mia's method is valid as well, but again, we'll use some form of the distributive property to multiply 5 and 34. The only advantage that Mia has is that she uses one less written step compared to Jenna.

a music company sells music to download, they charge $7.00 for each album and $1.50 for each song. On monday the company sold a combined total of 170 albums and the songs that totaled $442.00 on monday what was the ratio of the number of albums sold to the number of songs sold?

A. 1:4
B. 7:1
C. 5:1
D. 1:14

Answers

Answer:

1:14

Step-by-step explanation:

The ratio of the number of albums sold to the number of songs sold is 1:4.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Charge for one Album = $7

Each song charges = $1.5

Total Albums and songs sold = 170

and, total worth of both = $442.00

The system of Equations can be

x + y = 170

and, 7x + 1.5y = 442

Then, 7x + 1.5(170 - x) = 442

7x + 255 - 1.5x = 442

5.5x = 187

x= 34

and, y= 170- 34 = 136

So, ratio = 34 / 136

              = 1/4

Learn more about ratio here:

https://brainly.com/question/29774220

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PLEASE HELP !!
Below is a list of locations that are close to Acrophobia.
.
Scorcher - 540.7 feet
• Dare Devil - 780.9 feet
• Goliath - 650.7 feet
• Splash Water Falls-630.9 feet
• Batman the Ride - 1280.17 feet
• Superman Ultimate Flight - 480.6 feet
• Six Flags Over Georgia Park Entrance - 1361.8 feet
• Gas Station - 2874.9 feet
• Nearby Neighborhood - 18764.8 feet
• Small Shopping Mall - 10763.8 feet
If you ride Acrophobia, which locations could you possibly see and at what angle(s)? Describe why you can't see
certain locations. Be sure to show all your work that justifies all your responses,

Answers

Answer:

ok what do you what me to do with it

Step-by-step explanation:

Which is the same as 15.39 ÷ 100?

a. 1,539 × 100
b. 153.9 ÷ 10
c. 1.539 ÷ 10
d. 100 ÷ 15.39

PLZZ HELP ME ASAP! (tysmm!!!)

Answers

Question :

Which is the same as 15.39 ÷ 100?

1,539 × 100153.9 ÷ 101.539 ÷ 10100÷ 15.39

Answer :

[tex]15.39 ÷ 100 = \dfrac{1539}{100} \div 100 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \dfrac{1539}{100} \times \dfrac{1}{100} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{10000} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{1000 \times 10} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{1000} \times \dfrac{1}{10} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =1.539 \div 10[/tex]

Hence, c is the correct option.

its answer is c .........

HELP ME PLEASE POINTS WILL BE GIVEN JUST HELP ME PLEASE POINTS WILL BE GIVEN PLEASE JUST HELL

Answers

Answer:

I would say the answer is 5.03m^2

Step-by-step explanation:

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Answer:

a

Step-by-step explanation:

Pls help as fast as you can.

Answers

I’m doing the exact same thing right now!!! Let me try to figure this

Answer: the 2nd one tan(- 5x/6)

Step-by-step explanation: because if you equal the numbers it will become a negative number i hope this helps :)

a man walked for some distance at 8 km /h and for an equal distance at 5km/h. the total time he took was 3 whole number 1/4 hours. find the total distance he walked.

Answers

Answer:

the total distance walked is 20 km

Step-by-step explanation:

The computation of the total distance he walked is shown below:

Let us assume the total distance walked be d

Now the total time would be

Total time = (d ÷ 2) ÷ 8 +  (d ÷ 2) ÷ 5 = 3.25

d ÷ 16 + d ÷ 10 = 3.25

(5d + 8d) ÷ 80=3.25

13d = 260

d = 20 km

Hence, the total distance walked is 20 km

1.50 x 105
5.0 x 101
. ?

Answers

Answer:

225

505

Step-by-step explanation:

Answer:

157.5 and 505

Step-by-step explanation:

1.5 * 105

you can times both by 10 to get whole number

15*105 = 1575

add the decimal back

157.5

5 * 101 = 505

Solve For X
(see picture below)

thank you!

Answers

X = 9
HJsjshsjakan s d

How many solutions does this equation have?
6x + 2 = x + 2

Answers

Hey there! [tex]\bold{SUBTRACT\ x\ to\ BOTH\ SIDES}[/tex][tex]\bold{6x+2-x=x+2-x}[/tex][tex]\bold{Cancel \ out: x -x\ because\ it\ us\ 0}[/tex][tex]\bold{Keep: 6x-x\ because\ that\ helps\ solve\ for\ x}[/tex][tex]\bold{6x-x =5x}[/tex][tex]\bold{New\ equation: 5x+2=2}[/tex][tex]\bold{SUBTRACT\ 2\ to\ BOTH\ SIDES}[/tex][tex]\bold{5x+2-2=2-2}[/tex][tex]\bold{Cancel\ out: 2-2\ (on\ the\ LEFT\ SIDE)\ because\ that\ gives\ you\ 0 }[/tex][tex]\bold{Keep: 2-2\ (on\ the\ RIGHT\ SIDE)\ because\ it\ helps\ us\ solve\ for\ x}[/tex][tex]\bold{2-2=0}[/tex][tex]\bold{New\ equation: 5x=0}[/tex][tex]\bold{DIVIDE\ 5\ to\ BOTH\ SIDES}[/tex][tex]\bold{\dfrac{5x}{5}=\dfrac{0}{5}}[/tex][tex]\bold{Cancel\ out: \dfrac{5}{5} \ because\ it\ gives\ you\ 1}[/tex][tex]\bold{Keep: \dfrac{0}{5}\ because\ it\ helps\ solve\ for\ x}[/tex][tex]\bold{x=\dfrac{0}{5}}[/tex][tex]\boxed{\boxed{\bold{Answer: \boxed{\bold{x=0}} }}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

SOLVE FOR X, WILL GIVE BRAINLIEST

Answers

Answer:

54degrees

Step-by-step explanation:

there is a similar angle that is also 54 so x must be 54 degrees

pls correct me if im wrong

Help :((((((((((((((((

Answers

Answer:

k = 51

Step-by-step explanation:

You just have to substitute the variable into -7

k = -10t - 19

k = -10(-7) - 19

k = 70 - 19

k = 51

Someone help me out lol

Answers

Answer:

(1)+49

(x+7)^2

(2) +16

(x+16)^2

(3) +25/4

(x+5/2)^2

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )²

x² + 14x

= x² + 2(7)x + 49

= (x + 7)²

----------------------------------------

x² - 8x

= x² + 2(- 4)x + 16

= (x - 4)²

-----------------------------------------

x² + 5x

= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex]

= (x + [tex]\frac{5}{2}[/tex] )²

What is 32/50 reduced to lowest terms?

Answers

Answer:

32/50 reduced is 26/25.

Answer: 16/25

Step-by-step explanation:

- Factor 2 out of 32

- 2 (16)/50

-  16/25

A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(x)=0.00125 x + x -3, where x represents the number of cars sold. What is the profit at x=150?

Answers

Answer:

632959.50

Step-by-step explanation:

Note. Function is corrected

Given function:

P(x) = 0.00125x^4 + x - 3

Find the value of P(x) at x = 150:

P(150) = 0.00125*150^4 + 150 - 3 = 632959.50

Express the relationship between x + 2 and -2x + 8 as a single equation​

Answers

Answer:

[tex]= -2x^2 +4x+ 16[/tex]

Step-by-step explanation:

From the given equation:

[tex](x+ 2 ) \ and \ (-2x +8)[/tex]

As a single equation, we have:

[tex]= (x + 2) \ \times \ ( -2x + 8) \ = 0[/tex]

open brackets

[tex]\implies -2x^2 +8x +(-4x) + 16[/tex]

[tex]= -2x^2 +4x+ 16[/tex]

classify the following triangle

Answers

Answer:

c and f

Step-by-step explanation:

all sides are different lengths and it has a right angle

please help find x and y

Answers

Answer:

Step-by-step explanation:

Set 5x+9 equal with  4x +17 and solve for x

Then set whatever x is equal to y+ 20 and solve and find y

Then your done

I need to find the angle measure of A

Answers

Answer:

180= 2x + 37 + 67 + 90

2x = 180 - 37 - 67 - 90

2x = -14

X= -7

A = -7 + 37 = 30

-7 + 67 = 60

30 + 60 + 90 = 180°

Plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss Help!!!

What kind of shift is represented?
[tex]f(x)=2^{x-1}[/tex]
a.) vertical shift up 1 unit
b.) vertical shift down 1 unit
c.) horizontal shift left 1 unit
d.) horizontal shift right 1 unit
e.) no shift: vertical stretch by 3

Answers

Answer:

b

Step-by-step explanation:

because the 1 is negative

The answer to this is b

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is
reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

Picture has questions

Question 1 answer : 210

Answers

Answer:

brainliest plss

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Plsssss help, i SUCK AT MATH :(

Answers

Answer:

q>3<10

good luck :)

please help ASAP!! it’s for geometry

Answers

The answer is D.

Have a great day!

12+6 over N
What is the value of when N= 2?
A.6
B.9
C.12
D.18

Answers

Answer:

thank you to your question i dont know if my

answer is correct this is my answer letter B

Solve the system of equations. 10y - 11x = -4 - 2y + 3x = 4​

Answers

Answer:

(4,4)

Step-by-step explanation:

The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.

As per linear equation, the solution of the given system of equations is x = 4, y = 4.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given system of linear equation is:

10y - 11x = - 4 ......(1)

- 2y + 3x = 4​ ......(2)

Multiplying the equation (1) by 1 and Multiplying the equation (2) by 5 and then add both equations, we get:

   10y - 11x = - 4

+  (- 10y) + 15x = 20

-------------------------

    4x = 16

⇒ x = 4

Now, substituting the value of 'x' in the equation (2), we get:

- 2y + 3(4) = 4

⇒ - 2y + 12 = 4

⇒ - 2y = 4 - 12

⇒ - 2y = - 8

⇒ y = 4

Therefore, the solution of the given system of equations is x = 4, y = 4.

Learn more about a linear equation here: https://brainly.com/question/11897796

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two angles of a triange measure 50 and 20

what is the measure of the third angle of the triangle

Answers

Answer:

110

Step-by-step explanation:

In the triangle angle theorem the angles will all add up to equal 180.

180-20-50=110

The answer is 110 because the whole triangeln is 180
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