The plans of a building are drawn to a scale of 1 : 150.
(a) Find the actual length, in metres, represented by 42 cm on the plan. [1]
(b) The actual length of the diagonal of a hall is 33 m. Find its length, in cm, on the plane
Kindly send the calculations too

Answers

Answer 1

(a).

i hope it's help thanks


Related Questions

how to right a number in standerd form

Answers

Answer:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

please mark this answer as brainliest

HELP PLEASE! If 2 answers, I will vote one Brainliest!

Answers

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Plz help I’ll give u brainliest

Answers

Answer:

9

Step-by-step explanation:

All you have to do is subtract the temperatures once you get the final answer for them.

4 days, -7°C, = 43°C

5 days, -6°C, = 34°C

43 - 34 = 9

9°C = 9

~ LadyBrain

For the first week of January, Kim Walker worked 45.25 hours. Kim earns 10.90 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.

Answers

Answer:

Gross pay when she works 46 hours a week = 532 dollars per week

Step-by-step explanation:

Complete question

Find gross pay when she works 46 hours a week

Solution

For working hours less than or equal to 40 hours, kim earns 10.90  per hour

For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour

Gross pay for 46 working hours = 40 *10.90 + 6*16 =  532 dollars per week

What is the area of this face?

Answers

Answer:

Hello! answer: 180

Step-by-step explanation:

what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...

72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!

Please help
Which line is perpendicular to 4y+3x=12?
A)3x+4y=8
B)y=-3x+8
C)y+4x=-3
D)8x-6y=18

Answers

Answer:

D) 8x - 6y = 18

Step-by-step explanation:

The general equation of a line is;

y = mx + c

m is the slope and c is the y-intercept

so for;

4y + 3x = 12

4y = -3x + 12

divide through by 4

y = -3/4x + 3

the slope here is -3/4

To get the other line, we divide -1 by the slope of the first line

This is because when two lines are perpendicular, the product of their slopes is -1

So the slope of the line we are looking for is -1 divide by -3/4 = 4/3

Let us take a look at option D

8x - 6y = 18

6y = 8x - 18

divide through by 2

3y = 4x - 9

divide through by 3

y = 4/3(x) - 3

So as we can see, we have our slope as 4/3 and this option is our answer

1+2x+x^2 = y Given x = 1

Answers

Answer: y=16

Step-by-step explanation:

Hope this helps

At your local store, you are given a coupon for 20% off any store item purchased on Monday. When you return to your store, you notice that an item (normal price = $50) is on clearance for 40% off. You are allowed to use the coupon on the clearance item. How much should you pay for the item? Should it be 60% off of the normal price?

Answers

Answer:

$24

no, it is 48% off normal price

Step-by-step explanation:

clearance price = normal price - value of the 40% discount

value of the 40% discount = 0.4 x $50 = $20

Price = $50 - $20 = $30

final price = clearance price - value of 20% coupon

value of 20% coupon = 0.2 x $30 = $6

final price = $30 = $6 = $24

total value off normal price = $24 /$50 x 100 = 48%

Using the formula A = bh, find the area of the parallelogram

Answers

Answer:

36 sq ft

Step-by-step explanation:

A=bh

A=(12)(3)

A=36

Answer:

36

Step-by-step explanation:

base=12

height=3

3 times 12 equals 36

Find m and n...

Help plz

Answers

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

Answers

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

Formula:

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

Formula:

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

The graph of (1) Is shown. Which graph represents g(x) = S(2x)?

Answers

Do you have a picture

A point located at (0, -6) is the same distance from 0 as the point located at (0, 6).

TrueFalse

Answers

True. because it is still 6 away from 0 no matter what way you go

What is the volume of this sphere?
Use A = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters

Answers

Answer:

[tex]V=2143.57\ mm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]

So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].

Help plz..And No links!! I repeat No links!!

Answers

Answer:

1193.2 sq. in.

Step-by-step explanation:

SA = LA + 2B    

where LA is the lateral area and B is the area of the base (circle)

B = πr^2 = 3.14(10)^2 = 3.14(100) = 314

Area of 2 Bases = 2 (314) = 628

LA = Ch    where C is the circumference of the base

LA = πdh = 3.14(20)(9) = 565.2

SA = 628 + 565.2 = 1193.2 sq. in.

Answer:

1193.81

Step-by-step explanation:

PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.

710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?

A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo

Answers

Answer: I got answers A, B and E

Step-by-step explanation:

The correct three statements are supported by Joseph's data are as follows;

Joseph should plan for around 560 students at each dance based on the data.

The dances will be attended by around 700 of the students that attend the school.

Out of the 800 students, 288 do not like to attend dances after the football games.

What is the data set?

A data set is a collection of numbers or values that relate to a particular subject.

Joseph attends a school that has 800 students. He is in charge of school dances this year.

He surveyed a random sample of 100 students and got the following feedback.

7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.

1. Here 7/10 of the students would attend any of the dances held at the school.

[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]

Joseph should plan for around 560 students at each dance based on the data.

2. 18% of the students are not allowed to attend dances at school.

[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]

The dances will be attended by around 700 of the students that attend the school.

3. 64% of the students think that the dances should be held after football games.

[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]

Out of the 800 students, 288 do not like to attend dances after the football games.

Learn more about data set here;

https://brainly.com/question/15128975

#SPJ2

If you roll two dice, what is the probability that the sum is 9?

Answers

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Need help will give thanks or brainliest

Answers

Step-by-step explanation:

success

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

Answer:

6 cm

Step-by-step explanation:

Well let me explain... It's saying that side AB has a length of 6 cm and side BC has a length of 10 cm. So we can already start labeling the sides with their given length and actually solve for AC.

Well we don't really got much to say about AC but what we do know is that side AB and AC are equivalent. Why? Cause when there's always a triangle that has two equal sides but one side bigger, the triangle is a isosceles.

So we can say that side AB is (Δ) from the top of the triangle all the way to the left corner (6 cm). Then side BC will be from the left corner to the right corner (10 cm) and side AC will be from the top to the right corner (6 cm).

help me, the question is down below

Answers

Answer:

C

Step-by-step explanation:

6.3/3 = 2.1

12.6/6 = 2.1

18.9/9 = 2.1

the answer is C.

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.--.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-

What is the probability of getting a heads on a coin and then getting a 5 on a number cube?

Answers

Answer:

In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]

For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.

For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]

A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).

Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]

Answer:

1/12 or 0.0833333333

Step-by-step explanation:

0.5 probability of getting heads

1/6 probability of getting a 5

1/6 * 1/2 = 1/12

Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este tiempo

Answers

Answer:

$18,781.5

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Loan amount (P) = $15,000

Rate of interest (r) = 23%

Time (t) = 5 years

Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,

Final amount = P  [tex](1 + ( r/t))^{t}[/tex]

by putting the value in formula, we get

= $15,000 (  [tex](1 + ( 0.23/5))^{5}[/tex]

= $15,000 × 1.2521

= $18,781.5

A. 1/36
B. 1/18
C. 1/3
D. 1/6

Answers

Answer:

C

because it looks right

Answer:

1/36

Step-by-step explanation:

On the first cube, there is a 1/6 probability to roll a 1. On the second cube, theres is a 1/6 probability to roll a 6

Multiply the two fractions and it would equal 1/36

There would be a 1/36 probability.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Can I have the slope and y intercept for 2y - 4x - 10 =0

Answers

Answer:

Slope = 2, Y-intercept = (0, 5)

Step-by-step explanation:

First, isolate y by moving all other terms to the other side of the equation.

2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5

The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.

Therefore, the slope is 2 and the y-intercept is (0, 5).

Answer:

slope=2 ,y-intercept=5

Step-by-step explanation:

2y-4x-10=0

2y=4x+10+0

2y=4x+10 .  divide both sides by 2

y=2x+5

YALL PLEASE PLEASE DIS A TEST!!

Answers

The answer would be 7 becuase if rounded

Use the drop-down menus below to state the sequence of transformations that maps
Figure V onto Figure W in the animation below. Then use those transformations to
determine: are the two figures congruent? Use the drop-down menus to explain why
or why not.

Answers

Answer:

nonrigid and segement lengths

Step-by-step explanation:

Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?

Answers

Answer:

no because it has a different starting and ending point

Step-by-step explanation:

hope it helps!

A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer:24.5

Step-by-step explanation:

a^2+ (25)^2 =35^2

a^2 +625=1225

a^2=600

a=24.494897

a=24.5

HOW TO DO THIS QUESTION ​

Answers

Answer:

A ≈ 40.3 cm²

Step-by-step explanation:

The area of right Δ ACD is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 50.5, b = CD and h = AC , then

[tex]\frac{1}{2}[/tex] × 14 × AC = 50.5

7 AC = 50.5 ( divide both sides by 7 )

AC ≈ 7.214

The area of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × BC × AC × sin36°

  = 0.5 × 19 × 7.214 × sin36°

  ≈ 40.3 cm² ( to 3 sf )

9514 1404 393

Answer:

  64.2 cm²

Step-by-step explanation:

The length AC is found from ...

  Area of ACD = (1/2)(AC)(CD)

  80.5 cm² = (1/2)(AC)(14 cm)

  AC = 80.5 cm²/(7 cm) ≈ 11.5 cm

__

The area of ∆ABC is ...

  Area ABC = (1/2)(CB)(CA)sin(C)

  = (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²

need help asap don’t have much time

Answers

Answer:

1. Linear pair

2. Adjacent

3. Complementary

4. Adjacent

Step-by-step explanation:

Problem 1:

Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.

Problem 2:

Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.

Problem 3:

Angle a + angle b = 90°

Therefore, they are COMPLEMENTARY angles.

Problem 4:

angles a and b share the same side and a common vertex. They are ADJACENT angles.

If a1=10 and an+1=-5an-1 then find the value of a4

Please explain!

Answers

Answer:

[tex]a_4=-1271[/tex]

Step-by-step explanation:

We are given that:

[tex]a_1=10[/tex]

And:

[tex]a_{n+1}=-5a_n-1[/tex]

And we want to find:

[tex]a_4[/tex]

This is a recursive formula. So we can simply substitute in each value. For instance, a₂ will be:

[tex]a_2=a_{(1)+1}=-5a_{1}-1=-5(10)-1=-51[/tex]

Thus, a₃ will be:

[tex]a_3=a_{(2)+1}=-5a_2-1=-5(-51)-1=254[/tex]

Finally, a₄ will be:

[tex]a_4=a_{(3)+1}=-5a_3-1=-5(254)-1=-1271[/tex]

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