the width of a rectangular room is 3m shorter than its length . if its perimeter must not exceed 42m , calculate the greatest length the room can have​

Answers

Answer 1

The width of a rectangular room is 3 m shorter than its length. If its perimeter must not exceed 42 m, calculate the greatest length that the room can have.


Related Questions


9/6 × 4/5
1
) 36/11
) 6/5
) 32/30
) 13/15​

Answers

Answer:

6/5

Step-by-step explanation:

9×4=36

6×5=30

36/30÷2

18/15÷3

6/5

classify each pair of angles as alternate interior alternate exterior or corresponding

Answers

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

1) < 5 and < 1 are corresponding angles that lie on the same side of the transversal.

2) < 4 and < 6 are alternate interior angles that do not have a common vertex on alternate sides of the transversal.

3) < 2 and < 7 are (non-adjacent) supplementary angles whose measures add up to 180 degrees.

4) < 3 and < 6 are interior angles that lie on the same side of the transversal.

You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=75+(25+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $270 in your bank account?

Answers

Answer:

Step-by-step explanation:

Combine the two sources of income (25 + 8) = 33

b = 75+ (33)w

Let b = 270

Solve for w

270 = 75 + 33*w           Subtract 75 from both sides

270 - 75 = 33w

195 = 33w                     Divide by 33

195/33 = w            

w = 5.91 weeks              

The question is what do you do now?

The answer should be that you round to the next week which means that it will take you 6 weeks to get just over 270 dollars.

A popular laptop sells for $199.99. Since sales are so
good, the store raises the price by 13%. What is the cost
of the laptop after the markup?

Answers

Answer:

I believe the price after the markup would be $225.99, I hope this helps! :)

Answer:

Step-by-step explanation:

Increase % = 13%

[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]

May I please receive help?

Answers

Answer:

J= 16.857°

K= 88 .4°

L=74.7°

Step-by-step explanation:

let x represent the angle of J

x° +(4x+21)° +(2x+41)° =180°

x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)

Collect like terms

x + 4x + 2x = 180 - 21 - 41

7x = 180

x =180/7

x=16.857

Therefore,

J = 16.857°

K=4x+21

=4(16.857)+21

= 67.4+21

=88.4°

L=2x +41

=2(16.857)+41

=33.7+41

= 74.7°

Sum of angles in the triangle =

16.857+88.4+74.7=179.9 approximately 180°

Hope this helps....

it a car is traveling at 60 miles an hour how long will it take to travel 1 mile

Answers

the answer is 1 minute because an hour has 60 minutes and it jus makes sense

A swimming pool is being constructed so that it is the upper part of aninverted square-based pyramid.a. Calculate H.b. Calculate the volume of the pool.c. How many 6 m3bins will be required to take the dirt away?d. How many litres of water are required to fill this pool?e. How deep is the pool when it is half-filled?

Answers

Answer:

2

Step-by-step explanation:

6 sides by 6 adding 4x4=12

Please help me I am very confused and I can’t get it wrong!!!!

Answers

Answer:

The answer that you are looking for is b

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 2[tex]\bold{\sqrt{61}}[/tex]cm

The length of a rectangular fence is 1 foot longer the width. The area is 132 feet^2. How long is the length of the fence?

Answers

xx+1=132=131=xx=x=131/x

The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation

B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.

PLS HELP I NEED THIS ASAP

Answers

Answer:

width = 25cm

Step-by-step explanation:

perimeter = 84

length =17

A) 84 = 17(2) + 2w

B) 84 = 34 + 2w

 -34      -34

50=2w

/2     /2

25=w

Graph f(x) = -2/3x - 3

Answers

Answer:

go to desmos. com there's a free graphing calculator that helps

WILL MARK BRAINLIEST

Answers

Answer:

26

Step-by-step explanation:

3³ is basically 3×3×3 which equals to 27

1² is 1×1 which obviously is 1 lol

so,

27 - 1

= 26

Answer: 3*3*3 - 1*1    =    26

Step-by-step explanation:

The area of a rectangle is 42 square centimeters it's length is 7 centimeters.

Answers

Answer:

6 cm

Step-by-step explanation:

A = l · w                     Substitute what you know A = 42; l = 7

42 = 7 ·w                   Solve

42/7 = w

6 = w                        cm · cm = cm²

May I please receive help?

Answers

Can you please put a more bigger picture?

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below. What is the 50th term of this sequence?

Answers

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

The 50th term of this arithmetic sequence will be 9655.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.

The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.

Then the 50th term of this arithmetic sequence will be

aₙ = a₁ + (n - 1)d

aₙ = a₁ + (n - 1)(4n - 3)

a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)

a₅₀ = 2 + 49 × 197

a₅₀ = 2 + 9653

a₅₀ = 9655

The 50th term of this arithmetic sequence will be 9655.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Lesson. Derative of trigonometric functions

Answers

Answer:

Step-by-step explanation:

What are the Derivatives of the 6 Trig Functions?

Derivation of sin x: (sin x)' = cos x.

Derivative of cos x: (cos x)' = -sin x.

Derivative of tan x: (tan x)' = sec2 x.

Derivative of cot x: (cot x)' = -cosec2 x.

Derivative of sec x: (sec x)' = sec x. tan x.

Derivative of cosec x: (cosec x)' = -cosec x. cot x.

Plz help will give Brainliest

Answers

[tex] = 2ac \: + ab \: + 3a \: - 2bc[/tex]

see the attachment!!

hope it helps

How to find the slope
(In general)

Answers

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Type of Slope: Visual Description

Undefined: vertical

Negative: downhill

Solve. Show work

Y = -1/2 (-2) + 2

Answers

Answer:

[tex]→y = \frac{ - 1}{2} ( - 2) + 2[/tex]

[tex]→y = 1 + 2[/tex]

[tex]→y = 3[/tex]

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

First distribute:

[tex]y=-\frac{1}{2} (-2)+2[/tex]

[tex]y=1+2[/tex]

Add:

[tex]y=3[/tex]

Hope this helps! :)

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?

Answers

Answer:35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

what is the answer ?????????​

Answers

Answer:10

Step-by-step explanation: dd

Point M(-6,8) is dilated from the origin with a scale factor of 1/2. What is the coordinate of M'? *

Answers

Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is M'(-3, 4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Given Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is at:

M'(-3, 4)

Find out more at: https://brainly.com/question/13176891

What’s answer 10? Somebody please?

Answers

Answer:

Your table should be right. Plot these on your graph. (4,5) (8,10) (12,15) and (16,20). Hope it helps

Step-by-step explanation:

A 230 inch pipe is cut into two pieces. One piece is 4 times length of the other. find the length of the shorter piece

Answers

Answer: 46 x 4 = 184

184 + 46 is 230

Step-by-step explanation:

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−4
y=8
Choose the correct answer below.
A.
Parallel
B.
Neither
C.
Perpendicular

Answers

Parallel because they both have no slope meaning the are both horizontal lines.

a journey by bus takes 45 mins at 40km/h how fast must a car go to undertake the same journey in 25 mins​

Answers

Answer:

72km/h

Step-by-step explanation:

Bus - 45 mins at 40km/h

Car - 25 mins at ?

First, find the distance travelled by the bus (since, the journey of the two vehicles are the same, the distance would be the same as well)

distance = speed × timedistance = 40 × 3/4 (45 mins = 3/4 of an hour (45 ÷ 60))distance = 30km

Now we can find the speed of the car using the equation

speed = distance ÷ timespeed = 30 ÷ 5/12 (25 mins = 5/12 of an hour (25 ÷ 60))speed = 72km/h

A car dealership increased the price of a certain car by 11%. The original price was $45,400.

Answers

Answer:

$49,527.27273 or $49,527

Step-by-step explanation:

45,000/11

$4,127.272727 or $4,127

$45,400 + $4,127

$49,527

a shop only buys bananas with length between 13cm and 20cm. Estimate the fraction of the 80 bananas that the shop buys

Answers

Answer:

[tex]\frac{44}{80}[/tex]

Step-by-step explanation:

We know that the shop only buys Banana with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.

Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).

[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]

Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

Answer:

44/80

Step-by-step explanation:


Emmanuel went to Circuit City to buy a refrigerator for $3,652. This week at Circuit City, all kitchen appliances have a discount of
35%. If Emmanuel goes to Circuit City this week, how much will he pay for the refrigerator?
$1.278.20
$4.930.20
$2.373.80
53,617 00

Answers

Answer:

The answer is C

Step-by-step explanation:

it's 1,278.20 or A
i had this as homework before
i hope this helped :)
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