1) A builder laying the foundations of a garage wants to be sure he has the walls of the garage are at right angles. The length of the garage is 6m and the width is 5cm.

Explain how measuring the length will check that the walls of the garage meet at right angles.​

Answers

Answer 1

Answer:

you're thinking about buying a house but you really want to figure out how much area does a house cover what is the the square footage of the house or what is the area of the foundation of the house so right here we have the floor plan of the house and you're tasked with finding its area and you're given the dimensions of a bunch of walls of the house this wall right here is 18 feet this is 8 feet this is 20 feet 20 feet 5 feet 26 feet 15 feet and 25 feet but you're a little confused you know how to find the area of rectangles but how do you find an area of a strange shape like this so I encourage you to pause this video and try to figure out the area of this strange house footprints shape for plan shape using the techniques that you already know about so what you already do know about is how to find the area of rectangles so if we can break this houses floorplan into a series of rectangles and find out the areas of those rectangles then we can figure out the area of this entire house so let's break it into a bunch of simpler rectangles so I could have one rectangle here it has a width of 20 feet and it has a length of 20 feet so that would be a rectangle right over there and we should be able to figure out its area then I could set up another rectangle that has a width of 26 feet and has a length that's it's length right over there and we could think about in a second what that length actually is actually let's think about that how would we figure out what this length actually is well this this length plus 5 feet is going to be the same thing as this length over here is the same as the opposite wall of this of this rectangle so this length Plus 5 feet is 20 feet well this must be 15 feet so this blue rectangle is 15 feet long and 26 feet wide now let's add another rectangle we could have one that's 18 feet long and then goes the entire length of the house goes the entire length of the house like that and you might say wait how do we figure out its width how do we figure out the width of this rectangle well we know that this is 8 feet we know that this is 20 feet and we know that this is 26 feet so the entire width is going to be 26 feet plus 20 feet so 26 plus 20 gets us to 46 plus 8 gets us to 54 feet so this is 54 54 feet right over here did I do that right let's see 8 plus 36 would be 34 plus 20 is 54 feet and then finally we have one last rectangle to deal with this rectangle right over here which is 15 feet long and 25 and 25 feet wide and so now we can calculate the areas of the different rectangles so the total area is going to be the 20 feet by the 20 feet so let's just multiply them so it's going to be 20 times 20 that's this area right over here plus 15 times 26 so plus 15 times 26 that's this area right over there plus 18 times 54 plus 18 times 54 which is this area right over there and then finally plus 15 times 25 plus 15 times 25 which is this area this area right over here so we just have to now evaluate these things so what is 20 times 20 well this is going to be 400 what's 15 times 26 let's multiply it out 26 times 15 6 times 5 is 30 2 times 5 is 10 plus 3 is 13 now I'm going to multiply a 10 times 26 gets us to 260 and you add these two together you get 390 so it's 400 plus 390 now we've got to multiply 18 times 54 54 times 18 so let's do that 54 times 18 8 times 4 is 32 8 times five is 40 plus three is 43 now we're multiplying this 10 times 54 gets us to 540 and we add 2 plus 0 is 2 this 30 plus the 40 gets us to a 70 is or it's a 3 plus a 4 in the tens place and then 400 plus 500 is 900 so we get to 972 and one more of these multiplications 25 times 25 times 15 and actually we could do that in our head this is 26 times 15 so 25 times 15 is going to be this minus 15 so it's going to be 300 you see if you subtract 10 you get to 380 subtract another 5 375 let me do it in that same color so plus plus 375 and now let's add up these numbers so we have 375 plus 972 plus three hundred and ninety 390 plus 400 plus 400 and so this gets us to five this is the homestretch we deserve a drum roll now 5 plus 2 is 7 7 plus 7 is 14 plus 9 is 23 2 plus 3 is 5 plus 9 is 14 17 21 so the square footage of this house 2137 square square feet


Related Questions

Homework Progress
579 Marks
Aplo of sand has a weight of 90 kg.
The sand is put into a small bag, a medium bag and a large bag
in the ratio 2:3:7.
Work out the weight of sand in each bag.

Answers

Answer:

77

Step-by-step explanation:

2:3:7.

Can someone help me I’m doing a khan academy and need help ASAP marking brainliest

Answers

Answer:

x = 180 - 89 = 91

Step-by-step explanation:

Rolling a six sidded die and getting a I or 5

Answers

Answer:

probability is the same

Wrong and silly answer will be reported .​

Answers

I HOPE IT WILL HELP YOU.

Thank you.

Given: PQ = RS; PQ|| RS
Prove: PQRS is a parallelogram

Answers

Answer:

If PQRS is a parallelogram, then — PQ ≅ — RS and — QR ≅— SP . If a quadrilateral is a parallelogram, then its opposite angles are congruent. If PQRS is a parallelogram, then ∠P ≅ ∠R and ∠Q ≅ ∠S.

PQ=RS and PQ||RS implies PQRS is a parallelogram by showing that the diagonals bisect each other at O.

What is a parallelogram?

A quadrilateral with opposite sides equal and parallel but the angles are not right angle is called parallelogram.

Given that PQ=RS and PQ||RS .

Draw the parallelogram PQRS as in figure

To prove: PQRS is a parallelogram.

Construction: Join PS and QS as diagonals.

From the ΔORS and ΔOPQ,

PQ=RS (Given)

∠SOR=∠POQ   (opposite angles)

∠PQO=∠OSR  (since PQ=RS and PR is a traversal)

∴ΔOQS≅ΔOPQ

Hence, Op=OR and OQ=OS

Therefore , the diagonal of quadrilateral PQRS bisects each other.

Hence the given quadrilateral PQRS is a parallelogram.

To learn more about parallelogram click here:

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A- 63
B- 125
C-44
D-45

Answers

Answer:

So, the sum of the 3 angles in a triangle is 180.

What you would do is:

180= 73+6x-4+7x+7.

Then, you add the common coefficients:

180=76+13x

Then you subtract:

104=13x

Then you divide:

x=8.

Then substitute the x value into the A value to get 44, meaning that C is the correct answer.

Can someone help me with this

Answers

Answer:

the 3rd answer is the one which can actually form a proper plot off of that sentence

Answer:

The 3rd choice

Cinderella we know is the name of a princess in a story not a plot.

"In the woods" doesn't completely describe a plot.

so the answer is "The big bad wolf wants to eat the pigs, so he blows down their houses."

Help asap plssssssss

Answers

Answer:

A. True

B. False

C. True

D. False

Step-by-step explanation:

Sana makatulong

what are the two integers

Answers

Answer:

3 and 4

Step-by-step explanation:

2^3 = 8

2^4=16

14 lies in between them

literally the only question I'm struggling to understand rn...i hate puzzles :C.

Answers

Answer:

It's 2 4 7

Step-by-step explanation:

The first column says "one number is correct and well placed," so it's number two, because the third column says "One number is correct but incorrectly placed," which means number 2 is in the same place, and number 4 is in the last, but the fourth column says "Two numbers are correct but incorrectly placed," means 4 and 7 are in the first and second columns, but supposed to be in the 2nd and 3rd place, respectively. As a result, it's 2, 4, 7, and I hope you understand because I'm terrible at explaining things.

..........................................

Answers

Answer:

5678

Step-by-step explanation:

yeeeeeeeeeeeeeeeeeeeeeeee

What do I do when the output doesn't have a constant rate of change?

Answers

-2 gal/min

sry if it wrong

From the fig. find the angle which is equal to 110˚. *
1 point

∠A
∠C
∠D
none of the above

Answers

Answer:

∠C is equal to 110⁰ (alternate interior angles)

Step-by-step explanation:

Pls mark as brainliest

C! They are alternate interior angles :)

B is the midpoint of AC. C is the midpoint of AD. Find the coordinates of B and D given the coordinates of A (-2,5) and the coordinates of C (8,7). ​

Answers

B= (3,6) and D= (18,9)

Step-by-step explanation:

To find the midpoint of two given points add X1 and X2 together, then divide by 2 to get the X value of the midpoint and do the same thing for the Y value. That will get you B. From there you can see to get from point A to point C you add 10 to the x value and add 2 to the y value. Because C is the midpoint just double what you had to add to get point D (add 20 to x and add 4 to y)

If maya had 1/5 of a cup of butter and she used that cup to make 2/3 of butter cake how much butter was left in her cup?

Answers

Answer:

7/15 was left in her cup or 0.46

Step-by-step explanation:

Maya used 1/5 to make a 2/3 butter cake, so you would subtract 1/5 from 2/3

2/3-1/5=7/15

Please help me with this. Please dont just type in the wrong answer to get points. I will give 30 points to anyone who answers correctly and i will mark you as the brainliest so you will get rewarded.

Answers

it is 53cm because it says beside the d 53cm and it the length

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The basketball court in the park is rectangular two of the size of 84 feet long and the other two sides of 50 feet long what is the permit perimeter of the basketball

Answers

Answer:

8400

Step-by-step explanation:

84 x 50= 4200

84 x 50 = 4200

4200+4200= 8400

leanna finds a buy two get one free sale at her favorite store. her purchases cannot exceed $100. A skit orginally sells $22. What is the greatest number of skirts that she can get.

Answers

6

her order can't exceed 100

and if she buys 2 she gets 1 free

each one costs 22

so she can get 6 skirts for 88 which is the highest it can go

Item 1
Which symbol correctly compares these fractions?

−35□−23


>

<

=

Answers

Step-by-step explanation:

the sign - "<" correctly compares this ( -35__-23).

hope this helps you.

Answer:   >

Step-by-step explanation:

Pls help will mark brainliest, no fake answers

Answers

Step-by-step explanation:

b = what Bernie earns per day = Php 1000

m = what Mitch earns on a given day

e = what Eugene earns on a given day

r = what Rowan earns on a given day

a.

t = the total earnings of Bernie and Mitch on a given day

t = m + 1000 (or m + b)

b.

e = m/2

c.

r = 2×(m + 1000) or 2×t

mathematics algebra sat

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] w = [tex]\frac{4}{3}[/tex] , that is

[tex]\frac{3w}{5}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )

9w = 20 ( divide both sides by 9 )

w = [tex]\frac{20}{9}[/tex] → D

Multiply both sides of the equation by 5/3; 5/3 * (3/5 * w) = 5/3 * 4/3 Simplify both sides of the equation. Simplify both sides of the equation . Simplify both sides of the equation .... Simplify the left side . ... Simplify Simplify 5/3 * (3/5 * w)... w = 5/3 * 4/3 Simplify the right side .. Multiply 5/3 * 4/3
the answer is w = 20/9

please need help asap

Answers

Answer:

30 = 6 x 5

g = 5

I think that might be the answer

Step-by-step explanation:

Answer: g x 6 = 30

5 times 6 is 30, so g is 5.

Find the equation of the line with slope m=−5/3 that contains the point (9,−15).

Answers

Answer:

y=-5/3x

Step-by-step explanation:

y = -5/3x+b

-15 = -5/3(9)+b

-15=-15+b - Add 15 to both sides

0 = b

Solve for x in terms of h and k:
2(2x - h) - k = 6

Answers

Answer:

Well what i got was x= 3/2 + h/2 + k/4= 6+ 2h+k=4

I'm not sure if that exactly helps but it's what i got

Step-by-step explanation:

what is 26 divided by 9 as an improper fraction

Answers

Answer:

26/9

Step-by-step explanation:

26/9 is correct because it cannot be simplified so it is left as 26/9

calculate log 1.125 please​

Answers

Answer:

0.05115

Step-by-step explanation:

Plug it into your calculator and you'll get the same value


Select the equation that is the inverse of the given function.
X-3
f(x) =
5
f-1(x) = 5x +15
O f-1(x) = 5x + 3
f-1(x) = 3x - 5
o 4-16x) = x

Answers

Answer:

B. f⁻¹(x) = 5x + 3

Step-by-step explanation:

Given function:

f(x) = (x - 3)/5

Find its inverse, substitute x with y and f(x) with x:

x = (y - 3)/55x = y - 3y = 5x + 3

Substitute y with f⁻¹(x):

f⁻¹(x) = 5x + 3

Correct choice is B

y=(x-3)/5

Interchange x and y and solve for y

x=y-3/55x=y-3y=5x+3

That's the inverse

Option B

2²×2³×2⁸×2⁹+10+20²+10+10+10

Answers

>> Answer

___________

[tex] \: [/tex]

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

2² × 2³ × 2⁸ × 2⁹ + 10 + 20² + 10 + 10 + 10

= 2²² + (10 × 4) + 400

= 4.194.304 + 40 + 400

= 4.194.304 + 440

= 4.194.744

Answer:

(2²×2³×2⁸×2⁹)+10+20²+10+10+10=

=2²+³+⁸+⁹ + 10 + (20 x 20) +(10+10+10)

=2²² + 10 + 400 + 30

=4.194.304 + (410 + 30)

=4.194.304 + 440

=4.194.744

1. What is the equation, in standard form, of a parabola that contains the following points? (1 point)
(-2, 18), (0.2). (4, 42)
Oy=-222 - 2x - 3
Oy=-3x2 + 2x - 2
Oy = 3x2 - 2x + 2
Oy=-2x2 + 3x + 2

Answers

Answer:

y=3x2−2x+2

Step-by-step explanation:

Standard form of equation of a parabola is [tex]y=ax^2+bx+c[/tex]

As it passes through points (−2,18), (0,2) and (4,42), each of these points satisfies the equation of parabola and hence

18=a⋅4+b⋅(−2)+c or 4a−2b+c=18 ........(A)

2=c ........(B)

and 42=a⋅16+b⋅4+c or 16a+4b+c=42 ........(C)

Now putting (B) in (A) and (C), we get

4a−2b=16 or 2a−b=8 and .........(1)

16a+4b=40 or 4a+b=10 .........(2)

Adding (1) and (2), we get 6a=18 or a=3

and hence b=2⋅3−8=−2

Hence equation of parabola is [tex]y=3x^2 -2x+2[/tex] and it appears as shown below

graph{3x^2-2x+2 [-10.21, 9.79, -1.28, 8.72]}

HELP ASAP I NEED THIS IN ONE HOUR WILL REPORT WRONG ANSWERS

A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned

on for the first time that day. At 2 p.m., the drill has dug the hole to be 42 1/4 feet deep. The new drill dug

1.5 times as much of the hole as the old drill would have in the same length of time.

(a) What expression represents the number of feet the new drill dug?

(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the
question in a complete sentence.

Answers

Answer:

(a) 42.25 - 13.2

(b)  The old drill would have dug 19.367 ft in the same length of time (2 hours).

Step-by-step explanation:

(a) In the two hours, 12 Noon to 2 p.m., the new drill dug

42.25 - 13.2 =

29.05 feet.  

(b) Let r = the old drill dig rate in units of ft/hour

Then, 1.5r = the new drill dig rate.

So, 1.5r (2 hours) = 29.05, so that

r = (29.05)/(1.5 * 2) = 9.6833333 ... ft/hour.

So, the answer is: 9.683333 ... * 2 = 19.367 ft, rounded to the nearest 1000th.  Thus, the old drill would have dug 19.367 ft in the same length of time (2 hours).  

The required expression and the length of hole are 1.5( 42(¹/₄) - 13.2) and 43.57 feet respectively.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

The given problem can be solved by unitary method as follows,

(a) The expression that represents the length of hole dug by new drill is given as,

The length of hole dug by old drill in 2 hours is given as,

42(¹/₄) - 13.2

For new drill it is  1.5( 42(¹/₄) - 13.2) feet.

(b) The length of drill dug by old drill is,  

42(¹/₄) - 13.2

=  42.25 - 13.2

=  43.57 feet.

Hence, the expression for hole length by the new drill and the length of hole dug by old drill are given as  1.5( 42(¹/₄) - 13.2) and 43.57 feet respectively.

To know more about unitary method click on,

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