A rectangle has an area of 364.5cm^2 if it’s length is 27 cm find its perimeter

S2=2*S1+1

S3=3*S1-1

P=S1+S2+S3

42=S1+2*S1+1+3*S1-1

42=6*S1

S1=42/6

S1=7 ANS. FOR S1.

S2=2*7+1=14+1=15 ANS FOR S2.

S3=3*7-1=21-1=20 ANS. FOR S3.

PROOF:

42=7+15+20

42=42

Answer:

Step-by-step explanation:

The perimeter is the addition of all sides

x+y+z=40

where x=1st side, y=2nd side, z= 3rd side

2nd side exceeds twice the first side by 1 inch= y=2x+1

the third side is 2 inches less than the second side z=y-2=2x+1-2=2x-1

plugging in the perimeter equation

x+(2x+1)+(2x-1)=40

5x=40

x=8 inches (1st side)

y=2*8+1=17 inches (2nd side)

z=2*8-1=15 inches (3rd side)

Let H = number of hours worked.

He gets $15 for every hour worked, so you need to multiply 15 by h which is written as 15h

You then need to add that to the $200 he gets for showing up.

Total pay = 15h + 200

Divide both from top to bottom:

5/16 = 0.3125

10/11 = 0.9090..

-19/10000 = -0.0019

hope that helps :)

Answer:

Total change that will likely occur in 2 years = -2.5 in.

Explanation:

 The water level at Lake Penny changed [tex]-1 \frac{1}{10}[/tex] in first year and [tex]-1 \frac{2}{5}[/tex] in in the second year. We need to find total change in the two years.

 We know that [tex]a\frac{b}{c}[/tex] can be written as [tex]\frac{ac+b}{c}[/tex]

So [tex]-1 \frac{1}{10}=-(\frac{1*10+1)}{10} )=\frac{-11}{10}[/tex]

    [tex]-1 \frac{2}{5}=-(\frac{1*5+2}{5})= \frac{-7}{5}[/tex]

 So total change in two years =  [tex]\frac{-11}{10}+\frac{-7}{5} =\frac{-11-2*7}{10} =\frac{-25}{10} =-2.5inch[/tex]

 Total change that will likely occur in 2 years = -2.5 in.

Answer:

its 2 1/2

Step-by-step explanation:

x=-28 because the minus sign in front of the x will turn the -28 into positive 28 and 28+4 is 32

Your answer would be B.) x = -28

[tex]\frac{735}{5} = 147[/tex]

Answer: Option C 31.68 km/h

Solution:

Speed=s=8.8 m/s

s=? kilometers per hour=? km/h

s=(8.8 m/ 1 s)*(1 km / 1,000 m)*(3,600 s / 1 h)

s=(8.8*1*3,600)/(1*1,000*1) km/h

s= 31,680/1,000 km/h

s=31.68 km/h

Answer:

C.=31.68 km/h

Step-by-step explanation:

Hello

I think  I can help you with this

Let

[tex]v=8.8 \frac{m}{s} \\v=x \frac{Km}{h}[/tex]

1 hour = 60 minutes = 3,600 seconds

Step 1

convert m ⇒  kilometers

using a rule of three

1 kilometer= 1,000 meters

x? kilometers=8.8 m

[tex]\frac{1 kilometer}{1000 m} =\frac{x\ kilometer}{8.8 m}[/tex]

isolating x

[tex]\\\frac{1 kilometer\ 8.8\ m}{1000 m} =x\ kilometer\\x=0.0088 Km[/tex]

Now the speed is

[tex]v=0.0088 \frac{Km}{s}[/tex]

Step 2

Convert sec ⇒ hours

1 hour =3600 sec

x hour=1 seg

[tex]\frac{1 hour}{3600\ sec} =\frac{x\ hour}{1 sec}\\\frac{1 hour\ 1\ sec}{3600\ sec} =x\ hour\\x=\frac{1}{3600} hours[/tex]

Step 3

find the speed in km/h

[tex](1)v=0.0088 \frac{km}{1s}\\(2)1s=\frac{1}{3600} hous\\[/tex]

replacing (2) in (1)

[tex]v=0.0088 \frac{km}{\frac{1}{3600} hour}\\v=0.0088*\frac{3600\ km }{hour} \\v=31.68 \frac{km}{h}[/tex]

V=31.68 km/h

Have a great day

Answer:

The cooling tower is 68 meters wide at its highest point, which is 160 m above the ground.

Please, see the attached files.

Thanks.

Using linear interpolation, we calculated the width of the hyperbolic cooling tower 160 meters above the ground to be 4 meters.

The problem presented is related to linear interpolation, which is a method used to find a value between two points on a line. In this problem, we have a hyperbolic cooling tower, which is smaller at its most narrow section than at its base. At the base it is 100 meters wide while 100 meters above the ground it is 40 meters wide. Assuming linear change in the width with respect to height, we can compute the width at the highest point of the tower, which is 160 meters from the ground. The decrease in width per meter as the tower height increases is (100 - 40) / 100 = 0.6 meters/meter.

To determine the width of the tower 160 meters above the ground, we calculate 100 (width at base) - (0.6 * 160) = 100 - 96 = 4 meters. Thus, the tower would be 4 meters wide at the height of 160 meters above ground.

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Answer:

$960

Step-by-step explanation:

If you're talking about #3. What you do is divide 1/5 so get .2 which is 20% then you multiply .2*1200 which is 240. That is what gets take off with the discount so subtract that from 1200 and get $960.

u = 4

Since its looking for the area you would do length times width. What times 2 would equal to 8? 4.

4 * 2 = 8 which concludes its area

Here is the solution...

[tex]6i\sqrt{-44}[/tex]

Step 1:

We need rewrite the square root -44 as [tex]i\sqrt{44}[/tex].

The reason is [tex]\sqrt{-1} = i[/tex]

Step 2:

Now the expression became [tex]-6i.i\sqrt{44}[/tex]

[tex]-6i^{2}\sqrt{4*11}[/tex]

Step 3:

[tex]i^{2} = -1 and\sqrt{4*11} = 2\sqrt{11} \\[/tex]

Now substitute the above values in the step 2, we get

[tex]-6(-1)2\sqrt{11}[/tex]

Step 4:

We have to simplify it.

12[tex]\sqrt{11}[/tex]

Therefore, the answer is 1[tex]12\sqrt{11}[/tex]

35/5= 7

so,

4*7 = 28                          1*7= 7

The answer is  28:7

To share $35 in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.

To share $35 in the ratio 4:1, we first need to find the total number of parts in the ratio by adding the two numbers together: 4 + 1 = 5. Next, we divide the total amount of money ($35) by the total number of parts (5) to find the value of each part: $35 / 5 = $7. Now, we can multiply the value of each part by the corresponding ratio values to find the amount of money each person will receive:

Therefore, in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.

Answer:

Let Kirsten and Ryan start their work on 1 st of July.

Kirsten working days are 1,4,7,10,13,16,19,22,25,28,31,...

Ryan working days are 1,5,9,13,17,21,25,........

Now suppose 1 st of July is Monday,so coming Saturday will be on 6,13,19,25,31,....

Yes, Kirsten and Ryan will work on same day again i.e on 13, 25 in the month of July.

Yes ,they have to do the two jobs on one day also i.e on day which Saturday falls i.e on 13, and 25 of july.

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

16.4x + 42.8y

Hope this helps & good luck. :)

9miles/hour    no expressions to chooses from

9 miles/hour. This shows that a squirrel's pace is 9 miles per hour. There is no expression to determine it. It is already in miles per hour form as stated in the question.

The answer is the distributive property

answer:  [tex]300[/tex]

work:

[tex]60[/tex]

[tex]5[/tex]

_________

[tex]300[/tex]

hope this helps! ❤ from peachimin

Answer:300

Step-by-step explanation:5 times 0 is 0 6 times 5 is 30 then you get 300

Answer is: Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 20.2

Multiply 14/20 by 5 to make the denominator 100.  14/20 x 5 = 70/100. So, 14/20 as a percentage is 70%.

The answer should be A

For this question, you can solve by using the Cross Multiplication method.

(Pounds = lb, Ounces = oz)

35oz/Xlb = 16oz/1lb

Solve for x. First cross multiply 35oz by 1lb to get 35oz/lb. Then divide by 16oz to cancel out oz and end up with 2.1875lb. Which rounds up to 2.19lb.

35oz * 1lb ÷ 16oz = 2.19lb

The Answer is A.) 2.19 pounds

Hoped This Helped!

The rule to use: when dividing fractions, invert and multiply.

-6 ÷ -(3/4) equals -6 * -(4/3) which equals 24 / 3 which equals

8

285=45x+60 because 285 stands alone and its you total. 45x is the its there with the variable x because the it says several

It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':

i think the answer if 56 degrees

Answer:

dont listen to answer above me, its supposed to be in slope intercept form, so it is y=4/3x-1/3

and so we have (4,5)

substitute it in and you will have

y=4/3x+b

5=4/3(4)-b

which is

5=16/3-b

b is equal to 1/3

so thats the y int

so the equation will be

y=4/3x-1/3

Step-by-step explanation:

see above

The equation of the proposed bike path would take a similar form to the railroad track (y = mx + c) but adjusted to pass through the point (4,5). Without knowing the slope or y-intercept of the original line (railroad tracks), we cannot provide a specific equation for the bike path.

This Mathematical question pertains to the concept of linear equations in coordinate geometry. The problem involves finding the equation of a line that is parallel to the given railroad tracks and denoted as a two-dimensional path. We don't have information on the slope or y-intercept of the railroad tracks in the question, so for the time being, let's assume that the equation of the railroad track line is y = mx + c where m is slope and c is y-intercept.

Any line parallel to y = mx + c will have the same slope 'm'. The given point (4,5) on the new bike path. Hence the equation of the new bike path will be y - 5 = m*(x - 4). We are unable to provide a specific equation without more details about the railroad tracks line.

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Answer:

41 MPH

Step-by-step explanation:

Let's assume the original speed with or without, is around 82 miles, within 2 hours.

So in this case, it'd be half the miles, half the hours!