Q. An Umbrella is made by stitching 10 triangular peices of cloth to two different colours, each piece measuring 20cm, 50cm & 50cm. Show much cloth of each colour is required for the umbrella?
Plz answer fast for thanks and brainliest.​

Answers

Answer 1

Answer:

1000

[tex]1000 \sqrt{6} [/tex]

Step-by-step explanation:

Given: Dimensions of each triangular piece used in umbrella.

Reasoning: By using Heron’s formula, we can calculate the area of a triangle.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b, and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

We know that umbrella is made of 10 triangular pieces of cloth of two different colours.

Let us calculate the area of one triangle.

For each triangle, a = b = 50 cm, c = 20 cm

Semi Perimeter

s = (a + b + c)/2

= (50 + 50 + 20)/2

= 120/2

= 60 cm

By using Heron’s formula,

Area of triangle = √s(s - a)(s - b)(s - c)

= √s(s - a)(s - b)(s - c)

= √60(60 - 50)(60 - 50)(60 - 20)

= √60 × 10 × 10 × 40

= 200√6 cm2

Therefore,

Area of 10 triangular pieces = 10 × 200√6 cm2 = 2000√6 cm2

Hence, cloth required for each colour = (Total area of the cloth)/2

= (2000√6)/2

= 1000√6 cm2

Thus, 1000√6 cm2 cloth of each colour is required for the umbrella


Related Questions

How many terms are in the expression 5m2 - mn + 4n + 7?

4
3
2

Answers

Answer:

4 of them I think

Which equation is equivalent to the given equation? x^2 - 10x = 14​

Answers

Answer:

(x - 5)² = 39

Step-by-step explanation:

Given

x² - 10x = 14

To obtain an equivalent equation use the method of completing the square.

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = 14 + 25

(x - 5)² = 39

I believe that the answer you are looking for is (x-5)²-39, if you use the completing the square method.

Solution:

x²-10x=14

Transferring 14 from the right side to the left side,

x²-10-14=0

Squaring the equation,

(x-5)²-39, or (x-5)²=39 (Depends on how you prefer to write it).

So, that is the final answer. I hope this helped. If you have any questions about the answer, please let me know. Enjoy your day and take care!

62.9042 to the nearest hundredth

Answers

The answer is 62.9
:))

Answer:

62.9

Step-by-step explanation:

4(y-3) + 3(y+4). solve the equation fast and ill mark you brainliest

Answers

Step-by-step explanation:

4(y-3) + 3(y+4)

4y-12+ 3y+12

4y+3y-12+12

7y

I hope it helped U

stay safe stay happy

Answer:

hope it helps you.......

20. From the alongside figure, the value of x is a. 45° b.55 c.120 d.60​

Answers

Answer:

I think the value of x= 45°

Find the distance between the points (-16, 10) and (4, 10).
Help plz I pay 5 bucks if you solve this

Answers

Answer:

20

Step-by-step explanation:

The distance formula is just

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2} \\d = \sqrt{(-16-4)^2+(0)^2}\\d = \sqrt{(-20)^2} \\d = \sqrt{400} \\d = 20[/tex]

Please help with steps. Will give brainliest. Simplify

Answers

Answer:

Step-by-step explanation:

A number cannot be divisible by both 4 and 5 at the same time.
True or False?

Answers

Answer:

true.........

20÷5=4..

20÷4=5

Answer:

Step-by-step explanation:

please help, geometry b

Answers

Answer:

Radius=2sqrt(30)

Step-by-step explanation:

Tangents drawn from a common point are equal in length, so AB=BD, 2x-2=x+5, x=7. Next CDB is a right angled triangle, so CD^2+DB^2=CB^2, CD=7 and CB=13, CD=sqrt(120)=radius

What is 10 x 0.018?

0.18
1.8
18
180

Answers

Answer:

0.18

Step-by-step explanation:

hope this helps

Answer:

0.18

Step-by-step explanation:

multiply them together

X squared can be combined with X
true or false

Answers

Answer:

False, assuming "combined" means "added or subtracted and would simplify."

[tex]x^2[/tex] and [tex]x[/tex] cannot be combined with addition or subtraction.  They are not like terms.

Step-by-step explanation:

Combining like terms only works if the variables and the powers on the variables match perfectly.  

Examples:

[tex]x^2[/tex] and [tex]x[/tex] don't have matching powers, so they're not like terms.

[tex]x^2[/tex] and [tex]y^2[/tex] have the same powers, but the variables don't match, so they're not like terms.

Anything can be multiplied together though.  So that's a different situation.

3 2/9 - 2 1/2 pls help me I stuck it it due today

Answers

Answer:

[tex]\frac{13}{18}[/tex]

3 2/9 - 2 1/2 = 29/9 - 5/2 = 58/18 - 45/18 = 13/18

Q9. Alice worked 52 hours this week. She gets paid $9.35 per hour for the
first 40 hours and then gets time-and-a-half for the rest of the time. How
much money did she make this week?

Answers

9514 1404 393

Answer:

  $542.30

Step-by-step explanation:

For the first 40 hours, Alice made ...

  (40 h)($9.35/h) = $374.00

For the next 52 -40 = 12 hours, Alice made ...

  (12 h)($9.35/h × 1.5) = $168.30

Then the total Alice made for working 52 hours is ...

  $374.00 +168.30 = $542.30

Alice made $542.30 this week.

TELL ME THIS ANSWER ​

Answers

Answer:

have a great day

god bless you

For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.

Please write the equation and solve it. Thank you


First person to answer will get brainliest

Answers

Let the time spent in walking = x minutes

And the time spent in jogging = y minutes

If I walk with the speed = 0.05 miles per minute

Distance covered in walking = Speed × Time

                                                 = 0.05x miles

If I jog with the speed = 0.1 miles per minute

Distance covered in jogging = Speed × Time

                                                 = 0.1y miles

Since, screen displays the distance covered in walking and jogging = 2.5 miles

Equation for the situation will be,

0.05x + 0.1y = 2.5

5x + 10y = 250

x + 2y = 50 -------(1)

Total time spent in walking and jogging = 30 minutes

Therefore, equation for the situation will be,

x + y = 30 ----- (2)

By subtracting equation (2) from equation (1),

(x + 2y) - (x + y) = 50 - 30

y = 20 minutes

By substituting the value of y in equation (2),

x + 20 = 30

x = 10 minutes

Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.

Learn more,

https://brainly.com/question/17412056

The simple interest on a sum of money invested at 3% per annum for 2 years was $39.75. Calculate the sum of money invested.​

Answers

Answer:

N1,640

Step-by-step explanation:

I = N123; R = 3%' T = 2

1

2

yrs; P =

100

×

1

R

T

P =

100

×

123

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Answers

Answer:

M= 3.535

Step-by-step explanation:

Look at the line t then divide by 2

Given point A (-1, 4), find the coordinates of the image using the following rule:


a
(-7, 6)

b
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c
(-8, 10)

d
(-6, 10)

Answers

The Answer is C

X=-1 Y=4

X-7=?
-1-7 = -8

Y+6=?
4+6= 10

(-8 , 10)
i’m pretty sure the answer would be c

Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3

Answers

Answer:

A, D, E, F

Step-by-step explanation:

0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30

Answer:

Step-by-step explanation:

35

Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers (?) if you know the two numbers

Copy the Diamond Problems below onto your paper. Then use the pattern you discovered to complete each one.

HELPPP PLEASE

Answers

Answer:

See below.

Step-by-step explanation:

The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.

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10÷2=5

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6÷3=2

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4÷-4=-1

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Answers

Answer:

Olga's mistake: She did not multiply [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{3}[/tex] in the beginning

Step-by-step explanation:

The main problem is that when a number is outside of the parentheses on the left side, then you have to multiply that number, in this case [tex]\frac{1}{4}[/tex], by both numbers in the parentheses. After that, continue solving the problem as you usually would. Hope this helped!

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164.48 square centimetres

Please help me ASAP

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2/6th of €18(remember that of means multiply
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on a piece of paper graph y<2x-3 then determine which answer matches

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Answer:

i think its 5 i think i dont know havent done this since 6th grade

If 3 sin A + 4 cos A =5, show that sin A=3÷5​

Answers

you can use both either (4tanA+3) or, (4tanA-3)

hope this helped you ☺️

any confusion comment it and let me know.

The price of an item has dropped to $ 27 today. Yesterday it was $60. Find the Percentage decrease.​

Answers

Answer:

55% decrease

Step-by-step explanation:

60 - 27 = 33

33 / 60 = 55

Evaluate the expression when x = 6 and y = -4. 6x - 5y​

Answers

Hi ;-)

[tex]\text{x}=6 \ \text{and} \ \text{y}=-4\\\\6\text{x}-5\text{y}=6\cdot6-5\cdot(-4)=36+20=\boxed{56}[/tex]

Answer:

56

Step-by-step explanation:

x = 6 and y = -4

Substituting the values in the equation,

6(6) - 5(-4)

=> 36 + 20

=> 56

through: (1, 1), slope = 6

Write the slope-intercept form of the equation of the line through the given point with the givenslope.

Answers

Answer:

[tex]y=6x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=6x+b[/tex]

Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:

[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]

Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:

[tex]y=6x+(-5)\\y=6x-5[/tex]

I hope this helps!

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