A water slide is a straight ramp 20 m long that starts from the top of a tower 18 m high. Find the angle the slide forms with the tower. Approximate to the nearest degree.

Answer:

Then what???

Step-by-step explanation:

The minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters is 1400 meter square.

Given that,

We have to find the minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters on each side of the pool and a further 5 meters along the corresponding sides of the pool. The pool's area is 1800 square meters.

We know that,

Area of the Total space = (l+10)(b+20)

Here,

b=1800/l

l= 30

So,

b=60

Area of the total space is (30+10)(60+20) = 40×80 = 3200 m²

The minimum area of deck = 3200-1800 = 1400 m²

Therefore, The minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters is 1400 meter square.

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Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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The number of different sequences of tosses could there have been, if the number of tosses was even 1/2

You should understand that the tosses involves a sequence which is an array of numbers in a particular order

The question reads thus How many different sequences of tosses could there have been, if the number of tosses was even.

Number of tosses = 12

The tosses are 1,2,3,4,5,6,7,8,9,10,11,12 = 12 Times

The even numbers are

2,4,6,8,10,12 = 6 times

The Probability of the toss is 6/12

Therefore the number of tosses equals 1/2

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The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

The equivalent resistance of two resistances connected in parallel is given by 1/R = 1/R1 + 1/R2

R = (R1*R2)/(R1 + R2)

(dR)/(dt) = ((R1*(dR2)/dt + R2*(dR1)/dt)(R1 + R2) - (R1*R2*((dR1)/dt + (dR2)/dt)))/(R1 + R2)^2

R1 is increasing at a rate of 0.3 ohms/second and R2 is increasing and finish i am busy right now am sorry to finish this question here ur formula

"s" can be concluded from the premises

To use the rules of inference to show that "s" is a conclusion, we can use modus ponens,

This is a rule that allows us to infer a conclusion from a premise and its conditional statement.

Thus, "s" can be concluded from the premises "p → q", "q → r", "(q → r) → s", and "p".

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Answer:

270 first question's answer

Step-by-step explanation:

Solution at attachment box

Total surface area of cuboid is = 12x18x2 + 10x12x2 +18x10x2

=432+240+360

=1032

Surface of the 1 cube =2x2x2 = 8

Surface of the all cubes = 8x270 = 2160

Answer:

x= -14

Step-by-step explanation:

Answer:

Range of wages is £140 to £525.

Mean wage = £226

Step-by-step explanation:

Given:

Weekly wages paid to the staff are :

£245, £140, £525, £163, £195, £174 and £140.

To find:

Range of these wages = ?

Mean wage = ?

Solution:

First of all, let us learn about the range of wages and mean wage.

Range of wages has a minimum pay and a maximum pay.

Here, if we have a look £140 is the minimum pay and

£525 is the maximum pay.

So, range of wages is £140 to £525.

Mean wage means the average of all the wages given to the staff.

Mean is defined as the formula:

\(\text{Average/Mean =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}\)

Here, Sum of all observations mean sum of the wages of all the staff members.

Number of observations mean the number of staff members i.e. 7 here.

Applying the formula:

\(\text{Average/Mean =} \dfrac{\text{245+140+525+163+195+174+140}}{\text{7}} \\\Rightarrow \text{Average/Mean =} \dfrac{\text{1582}}{\text{7}}\\\Rightarrow \text{Average/Mean =} 226\)

So, the answer is:

Range of wages is £140 to £525.

Mean wage = £226

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Answer & Step-by-step explanation:

a) For Cinderella's equation, we will write it as  3^(x-1) (x being the day)
For Aurora's equation, we will write it as 65+10n (x being the day)

b) Since Aurora's number only increases by 10 a day, that equation is linear. Since Cinderella's number increases by a greater amount everyday and has an exponent, her equation is exponential.

c) Plugging in 8 for x in each equation, we get
2178 for Cinderella and
145 for Aurora

Meaning that Cinderella will sell far more on the 8th day.

Answer:

23952

Step-by-step explanation:

Answer:

23952

Step-by-step explanation:

so you would multiply 998 by 24 to get the answer

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer: B

Step-by-step explanation:

Plug in x for 3. Then solve.

4*(1/3)^3

4*1/9

4/9

Answer:

There are 10 credits per semester.

Step-by-step explanation:

Given that: A college student takes the same number of credits each semester.

They had 8 credits when they started, and after 5 semesters, they had total 58 credits.

Now, In which rate they are earning credits per semester,

for that use the formula:

\(rate=\frac{change of credits}{total no of semeters}\)

rate=50/5

The change in credits is 58-8 = 50, since the

student earned 50 credits in 5 semesters.

So the rate at which they are earning credits per semester is:

Rate = 10 credits per semester.

Hence, there are 10 credits per semester.

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Answer:

I guess you need all your numbers to be multiblyed to get 46

Step-by-step explanation:

what is basikly the question

h = hours till they're 58 miles apart

Check the picture below.

so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.

Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)

Answer: 1/4 is the answer I was given in my work.

Step-by-step explanation:

What is 7 1/5 written as a percent?

720%

We know that 1/5 is the same as dividing 1 by 5.

or 1÷5.

Therefore, \(7\frac{1}{5}\) \(= 7+ (1/5)\)

Then using  Long Division for 1 divided by 5  we have

7 + 0.2 = 7.2

Converting our number to a percentage:

7.2(100)

= 720%

Therefore, 7 1/5 as a percent is 720%

If you need more help, don't fret to message me!

I'll be glad to assist.

Subject: Mathematics

Concept: Conversions

Grade: Middle/High

Answer:

The correct answer is "1287.02 ft"

Step-by-step explanation:

Given that:

T = 1200 ft

PI = 145+00

\(\Theta\) = 29.86°

or,

  = 0.5211 rad

As we know,

The radius of curve is:

⇒ \(T = R \ tan\frac{\Theta}{2}\)

\(1200=R \ tan(\frac{0.5211}{2} )\)

\(1200=R \ tan(0.267)\)

    \(R = 4494.38 \ ft\)

The length of curve will be:

⇒ \(L=R \Theta\)

       \(=449.38\times 0.5211\)

       \(=2342.01 \ ft\)

hence,

Station PT will be:

= \(PI-T+L\)

= \(145-1200+2341.01\)

= \(1287.02 \ ft\)

Answer:

b

Step-by-step explanation:

I = Prt  Solve the equation for r

I  =  Prt   Divide both sides by Pt to get r on one side of the equation by itself

Pt      Pt     Cancel the P and t on right side as P/P and t/t = 1

This leaves:    I = r   or r = I

                       Pt                 Pt

The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.

The given simple interest formula is I=PRT.

Where, P is the principal, r is the interest rate, and t is time.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

To calculate the interest rate:

By rearranging the formula I=PRT, we get

R=I/PT

Therefore, the correct answer is option B.

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The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Answer:

B, C, and F

Step-by-step explanation:

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.