Johns made two 120 mile trips. He made his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours. What was his average rate, in miles per hour, for the second trip?

Answers

Answer 1

Answer:

120 miles:4 hours

Step-by-step explanation:

Johns made

two 120 mile trips

there are a total of 2 120 mile trips

his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours

9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)

What was his average rate, in miles per hour, for the second trip?

120 miles:4 hours  simplify to 30 miles:1 hour

Answer 2

Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip

HAVE A GOOD DAY


Related Questions

The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.​

Answers

Answer:

8 inches

Step-by-step explanation:

For this the length is 11 inches, and when u subtract 3 from that you get 8. 11×2 is 22, 8×2 is 16

22+16=38

Answer:

8 inches

Step-by-step explanation:

P = 2w + 2l

l = w + 3

38 = 2w + 2(w + 3)

38 = 2w + 2w + 6

38 - 6 = 4w

4w = 32

w = 32 : 4

w = 8 inches

30 points will give brainliest if correct Please Answer an industrial copy machine

Answers

Answer:

f(x) = 16 * ( 3/4) ^x

Step-by-step explanation:

y = a ( b) ^x

where a is the initial value and b is the growth rate

We know when x =0 y = 16

and when x = 1 y = 12

16 = a * b^0

16 = a * 1

a = 16

So the initial value is 16

12 = 16 * b^ 1

Divide each side by 16

12/16 = b^1

3/4 = b

y = 16 * ( 3/4) ^x

Greetings from Brasil...

In the statement are given 2 moments:

X = 0 ⇒ F(0) = 16

and

X = 1 ⇒ F(1) = 12

F(X) = a . bˣ

F(0) = a . b⁰

16 = a . 1

a = 16

F(X) = a . bˣ

F(1) = a . b¹         a=16  calculated above

12 = 16 . b

b = 12/16

b = 3/4 = 0,75

so,

F(X) = 16 . (3/4)ˣ

Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval

Answers

Answer: (0.4016, 0.4984).

Step-by-step explanation:

Let p be the proportion of voters will vote for Candidate A for president.

Formula for confidence interval for proportion:

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

, here [tex]\hat{p}[/tex]= sample proportion

n= sample size.

z* =two-tailed critical z- value.

As per given, we have

n= 700

[tex]\hat{p}[/tex] = 0.45

Critical two-tailed z-value for 99% confidence interval = 2.576

Then, the required 99% confidence interval for p would be:

[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]

Hence, the required confidence interval (0.4016, 0.4984).

The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?

Answers

Answer:

-8 degrees

Step-by-step explanation:

12-4 is 8 so the difference is -8

There is a difference of 8 degrees Celsius.
-4-(-12)= 8

which equation is correct?



arccsc(x)=1/cos(x)

Answers

Answer:

arccsc(x)=1/cos(x)

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)​

Answers

Answer:

19:36.83 or 37        20:4.5

Step-by-step explanation:

Answer:

For #19, it would probably be around 37

For #20, it would be 4.5.

Step-by-step explanation:

For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.

For #20, the list would be in this order:

3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1

So, the 3rd value is 4.5.

PLS HELP : D Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence?

Answers

Hey there!

Let's look for some patterns here.

In the first triangle, we see that there are six dots in total.

In the second triangle, there are nine dots in total.

And, for the third one, we see that there are 12 dots in total.

So, we see that it is counting up by threes because there is one more added to each side.

This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.

To find a certain number in a sequence (in our case, 200), you

STEP 1: Take that certain number and subtract 1

200-1=199

STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.

199×3=597

STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.

597+6=603

Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.

Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D

WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box

Answers

Answer:

d.which is number of candle's in a box

Answer:

number of candies in a box

Step-by-step explanation:

A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4

Answers

Answer: B) y = -5x+5

slope = -5, y intercept = 5

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

Explanation:

The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.

Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.

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

If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b

y = mx+b

-5 = -5(2)+b

-5 = -10+b

-5+10 = -10+b+10 ... adding 10 to both sides

5 = b

b = 5 is the y intercept

So we have y = mx+b update to y = -5x+5 as the perpendicular line.

Answer:

[tex]y = - 5x + 5[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]

.

[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]

[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]

[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]

10. The easily accessible part of an emergency fund is
O cash
O credit cards
O savings
O CDs

Answers

Answer:Si está tratando de ahorrar dinero a través de un presupuesto pero todavía acarrea una deuda grande, comience por la deuda. ¿No está convencido? Sume cuánto gasta por mes en la manutención de la deuda y rápidamente se dará cuenta. Una vez que esté libre de pagar intereses sobre su deuda, ese dinero puede ahorrarse fácilmente. Una línea de crédito personal es solo una opción para consolidar la deuda, para poder cancelarla mejor.

Step-by-step explanation:

Answer: A. Cash

Cash is the most liquid, meaning that it can be accessed quickly and (nearly) everyone accepts it as payment. Though there are some vendors who only accept credit cards.

CD stands for Certificate of Deposit. This is like a savings account but with a higher interest rate. The catch is that the money must be locked into the account for a certain length of time. You cannot withdraw the money unless you want to incur a penalty.

(CORRECT ANSWER GETS BRAINLIEST) Drag each object to show whether distance is proportional to time in the situation represented.

Answers

Answer:

a horse running around a race track and

a person running down a field to score a touchdown

DONT HAVE ENOUGH INFORMATION

the two graphs are proportional to time and

a dog jumping at a constant speed for 20min and

a truck passing through 4 cities at a constant speed are not proportional to time because they are constant

Step-by-step explanation:

Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%

Answers

Answer:

B) 29%

Step-by-step explanation:

First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.

Answer:

B. 29%

Step-by-step explanation:

Percentages can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

We have to find the percentage of the drive she has left.

Therefore, the part is the miles she has left and the whole is the total trip.

(miles left/total trip) * 100

First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.

total - miles driven

She has 850 total miles and has driven 600 miles.

850-600

250

She has 250 miles left.

Now we know the miles she has left.

(miles left/total trip) * 100

miles left = 250

total trip= 850

(250/850) * 100

Solve inside the parentheses first. Divide 250 by 800.

(0.29411765)*100

Multiply

29.411765

Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.

29

Therefore, she has about 29% of her trip left.

The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D

Answers

Answer:

  B and C

Step-by-step explanation:

Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.

Answer:

B and C

Step-by-step explanation:

Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4

Answers

Answer:

  (x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

  2x = -4

  x = -2 . . . . . divide by 2

__

Putting this in the first equation, we can write an expression for z:

  -2 +y +z = 2

  z = 4 -y . . . . . . . add 2-y

__

Putting this in the second equation, we have ...

  4(-2) +5y +(4 -y) = 12

  -4 +4y = 12

  -1 + y = 3 . . . . . divide by 4

  y = 4 . . . . . . . . add 1

__

Substituting this into the equation for z, we have ...

  z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

Answer:

X+y+z=2 equation 1

4x + 5y + z = 12 equation 2

2x = -4 equation 3

Step-by-step explanation:

step 1 :

from equation 3 : 2x = -4

x= -4/2 = -2

step 2:

sub value x = -2 in equation 1

y + z = 4 _______ equation 4

step 3:

sub value of x in equation 3

5y + z = 20 _________ equation 4

solve equation 3 and 4

y + z = 4

5y + z = 20 sign change

__(-)_________

-4y = -16

__________

y = 4

substitute x = -2 & y = 4 in equation 1

z = 0

Hence x = -2 , y = 4 & z = 0

HELP PLZZ!! Joe performed an experiment with a spinner. He spun the spinner and recorded the results in the frequency table. The spinner and the frequency table are given below. Find the experimental probability of the spinner landing on yellow or orange.

Answers

Answer:

7/13

Step-by-step explanation:

add all outcomes: 8 + 6 + 5 + 7 = 26

landing yellow or orange: 8 + 6 = 14

14/26 simplified 7/13

The Experimental probability of the spinner landing on yellow or orange is 7/13.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Yellow= 8

Orange = 6

Red= 5

Blue = 7

Total = 8+6+5+7= 26

So, the Experimental probability of the spinner landing on yellow or orange.

= 8/26 + 6/16

= 14/16

= 7/13

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ6

10 Points! Help is aprreciated!! :)

Answers

Answer:

A

Step-by-step explanation:

Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.

The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?

Answers

Answer:

36 i think

Step-by-step explanation:

Answer:

14?

Step-by-step explanation:

Which statement could be an interpretation of the graph’s x-intercept or y-intercept?

On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.

Answers

Answer:

1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.

2. the ordered pair (8,0) would show that at 8 months there is no more money owed.

Step-by-step explanation:

The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.

Answers

Answer:

about 91.2 cm³

Step-by-step explanation:

Radius (r) = diameter / 2 = 4.4 / 2 = 2.2

Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6

V = 3.14 * 2.2² * 6 = 91.2

Answer:

91.2

Step-by-step explanation:

To find the volume you need to use the formula [tex]\pi r^2h[/tex]

When you substitute all of the numbers the answer will be 91.1856

Plz help me plzzzzzz 64=8c

Answers

Answer:

c=8

Step-by-step explanation:

do find c, we do 64/8=8. We can check our work by doing 8*8 which is in fact 64

c would be 8! hope this helped

please help on this question I will mark you as brainlist

Answers

Answer:

7, 10, 15, 22, .... 106

3, 12, 27, 48, .... 300

Step-by-step explanation:

Plug n as 1, 2, 3, 4, and 10 to find the terms.

(a)

1² + 6

1 + 6 = 7

2² + 6

4 + 6 = 10

3² + 6

9 + 6 = 15

4² + 6

16 + 6 = 22

10² + 6

100 + 6 = 106

(b)

3(1)²

3(1) = 3

3(2)²

3(4) = 12

3(3)²

3(9) = 27

3(4)²

3(16) = 48

3(10)²

3(100) = 300

Answer:

a) n²+6

U1 = 1²+6 = 1+6=7

U2= 2²+6 = 4+6 = 10

U3= 3³+6= 9+6= 15

U4= 4²+6= 16+6 = 22

U10= 10²+6 = 100+6= 106

So= 7, 10, 15, 22,... 106

b) 3n²

U1= 3(1)²= 3(1)= 3

U2= 3(2)²= 3(4) = 12

U3= 3(3)²= 3(9)= 27

U4= 3(4)²= 3(16)= 48

U10= 3(10)²= 3(100)= 300

So= 3, 12, 27, 48,..., 300

ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions

Answers

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women

Answers

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

Please help will mark brainly

Answers

Answer:

$3.50

Step-by-step explanation:

23.6÷4=5.90   5.90-2.40=3.50

Answer:

$3.50

Step-by-step explanation:

cost of beads - $2.40

cost of pendant - x

2.40(4) + 4x = $23.60

9.60 + 4x = $23.60

4x = $14

x = $3.50

Each pendant costs $3.50.

Hope this helps.

A principal of $4900 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

The investment will be worth $8,674 after 7 years.

brainliest?

Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501

Answers

Answer:

C, 0.415

Step-by-step explanation:

Convert the fractions to decimals:

1/3 = 0.3333333...

1/2 = 0.5

So the decimal must be greater than 0.3333333... and smaller than 0.5,

from the options,

only 0.415 matches with the requirements.

Answer:

c.415

Step-by-step explanation:

1/3 = 0.333333...

1=2 = 0.5

Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2

Hope ths helps....

Pls mark my ans as brainliest :)

PLS PLS PLS

I want to rank up....

Dat y pls mark my ans as brainliiest :)

The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?


Based on my answer, each van can carry students and each bus can carry students

Answers

Answer:

Number of students van can carry = 11

Number of students bus can carry = 41

Step-by-step explanation:

Given the following :

HIGH SCHOOL A:

Number of students = 184

Number of vans(v) = 13

Number of buses(b) = 1

Mathematically,

13v + 1b = 184 - - - - (1)

HIGH SCHOOL B:

Number of students = 520

Number of vans(v) = 10

Number of buses(b) = 10

Mathematically,

10v + 10b = 520 - - - - (2)

Multiply (1) by 10 and (2) by 1

130v + 10b = 1840 - - - (3)

10v + 10b = 520 - - - (4)

Subtract (4) from (3)

120v = 1320

v = 11

Substitute v = 11 into (1)

13(11) + 1b = 184

143 + b = 184

b = 184 - 143

b = 41

Number of students van can carry = 11

Number of students bus can carry = 41

Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?

Answers

Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

24 ÷ [ 33- (1+2)^2] = ?

21 + 3 (2-2^2) = ?

[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?

20 + [18÷(4+1)] - (3^2 + 2) = ?

please simplify the expressions using the proper order of operations.

Answers

Answer:

Below in bold.

Step-by-step explanation:

24 ÷ [ 33- (1+2)^2]

= 24 / ( 33 - 3^2)

= 24 / 24 = 1.

21 + 3 (2-2^2)

= 21 + 3(2 - 4)

= 21 + 3 * -2

= 21 - 6

= 15.

[(14+√4)÷2^3] - 14

= [ (14 + 2) / 8] - 14

= 16/8 - 14

= 2 - 14

= -12.

20 + [18÷(4+1)] - (3^2 + 2)

= 20 + [18÷ 5] - (9 + 2)

= 20 + 3.6 - 11

= 23.6 - 11

= 12.6.

SOMEONE PLEASE HELP A GIRL OUT BRAINLIEST! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?

Answers

Answer:

a. 0.2061*2000 apples = 412.20 or about 412 apples.

b. 0.2389*2000 apples = 477.8 or about 478 apples.

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).

The parameters for this normal distribution are (without using units):

The mean, [tex] \\ \mu = 8.2[/tex].

The standard deviation, [tex] \\ \sigma=2.8[/tex]

We need to use z-scores, given by:

[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]

For a diameter smaller than 5.9cm, we have:

[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]

The value for z:

[tex] \\ z = -0.82142 \approx -0.82[/tex]

Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).

Then, P(z<-0.82) = 0.2061

How many apples would have a diameter: a) smaller than 5.9cm?

The answer is 0.2061*2000 apples = 412.20 or about 412 apples.

How many apples would have a diameter: b) larger than 10.2cm?

We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.

[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]

[tex] \\ z = 0.71428 \approx 0.71[/tex]

Then, P(z<0.71) = 0.7611

But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):

P(z>0.71) = 1 - P(z<0.71)

P(z>0.71) = 1 - 0.7611

P(z>0.71) = 0.2389

The answer is 0.2389*2000 apples = 477.8 or about 478 apples.

Other Questions
Can someone help with this.... thanks! Solve: 3/4y -2 = 6 - 1/4y If one DNA strand is 5'-GGCATTACACTAGGCCT-3', what is the complementary srand? Find the value of x if 12x=34^2 - 26^2 In a hydrogen ion pump, the energy is used to join small molecules together to make larger ones. Which factor most likely has the greatest effect on the number of molecules mitochondria can produce? Before Madame Loisel realizes the necklace was a fake, she smiled withproud and simple joy." Why do you think Madame Loisel felt pride about thehard work she did to replace the necklace? How do you think she felt after shefound out the truth? Write a few sentences.Please help I need to graduate!! Describe the qualities of a lamb. Can you think of a person in you life who is as gentle and innocent as a lamb.Give reasons and explain in few sentences. ANSWER NEEDED ASAP!According to the table below, what is the probability that the age of a student chosen at random will be 15 or younger?A) 0.74B) 0.59C) 0.56D) 0.54 PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND LOTS OF POINTS!!! Please provide an explanation and answer only if you know the answer for sure. In the following diagram, BC is parallel to DE. What is the measure of angle ? **Angles are not necessarily drawn to scale.** In a recent year Sunland Company had net income of $360000, interest expense of $72000, and a times interest earned of 10. What was Sunland Companys income before taxes for the year? $792000 $720000 $648000 None of these answer choices are correct. Q 9.28: Prepare the journal entry if Bench Company purchases a delivery van for $22,175 with related expenditures of sales taxes $443, painting $225, vehicle license $210, and accident insurance $875. Which statement best describes an effect of the baby boom generation today? 1-The US population is becoming more diverse. 2-The US population is becoming older. 3-The US population is becoming younger. 4-The US population is becoming healthier. Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere are determined. Now the radius of the sphere is halved. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere A salesperson earns 6% commission on $25,000. How muchcommission was earned? whats 1,112,433 rounded to nearest ten thousand Natural killer (NK) cells __________. Natural killer (NK) cells __________. engage in immunological surveillance recognize and kill cancer cells cause abnormal cells to undergo lysis NK cells perform all of these roles. In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture. A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base) A cone has a volume of 150 cm3 and a base with an area of 12 cm2. What is the height of the cone? Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible. A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation. Which one doesnt belong? Why? Explain. 9. A open-sea diver dove down 42 ft. to harvest sponges. After rising 28 ft. how far was the diver fromthe surface? (Hint: Drawing a diagram may help you answer this.) Please, help me with this. Solve X/6 = 7