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

can anyone help me please? 63 over 7-2x3

Answers

Answer:

Below,...

Step-by-step explanation:

Your equation:

[tex]\frac{63}{7-(2*3)} =\frac{63}{7-6} =\frac{63}{1}=63[/tex]

Hope it helps,... Chow,...!

Write as an algebraic expression five times the sum of a number and 4

Answers

Answer:

5(x+4)

Step-by-step explanation:

It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).

barbara and jeff ate out for dinner the total came to &15.00. they left a 15% tip how much was the tip and the meal together?

Answers

Answer:

$17.25

Step-by-step explanation:

The tip is 15% of $15.00, or 0.15 * 15 = $2.25

We add that to the meal's cost, which is $15.00

15.00 + 2.25 = 17.25

There are 8 cupcakes on a plate. Five children will share them equally. How many cupcakes will each child receive? Represent the scenario three ways:
With math vocabulary, as an expression, and as a fraction.

Answers

Answer:

Each child will receive eight fifths of the cupcakes.

5x=8 ; x represents how many cupcakes each child receives.

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

There are 8 cupcakes in total.

5 children.

Divide 8 by 5. [tex]\frac{8}{5}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Find the value of x,y and z

Answers

Answer:

hope it helps, appreciate if you can give brainliests

A design for a banner includes a striped background. The stripes are colored in the repeating order: yellow, blue, orange, green, and purple. What calor is the 37th stripe?

Answers

Answer:

purple.orang.blue.yellow and green

purple.orang.blue.yellow and green

1. Which of the following is a true statement?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number whose
square root is an even number.
SHOW PROOF

Answers

Answer:

C

Step-by-step explanation:

Squaring is multiplying a number by itself

Examples:

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

etc.

HELP PLZ!Substitute the given values into the formula, and solve for the unknown variable.
A=bh; A = 60, h = 10 what is B

Answers

A=bh
A=60 h=10
60=b(10)
b=6

Evaluate (3.4 x 10^)(4.5 x 103). Write your
answer in scientific notation.

Answers

Answer:

153*10^3

Step-by-step explanation:

I assumed the first exponential number as 1

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{(3.4 \times 10^4)(4.5 \times 10^3)}}\\\huge\boxed{\mathsf{\rightarrow 3.4\times10^4 \times 4.5 \times 10^3}}[/tex]

[tex]\huge\boxed{\mathsf{10^4}}\\\huge\boxed{= 10\times10\times10\times10}\\\huge\boxed{= 100\times100}\\\huge\boxed{= 10,000}\\\\\\\huge\boxed{\mathsf{10^3}}\\\huge\boxed{=10\times10\times10}\\\huge\boxed{= 100\times10}\\\huge\boxed{= 1,000}[/tex]

[tex]\huge\boxed{\rightarrow\mathsf{3.4\times \bold{10,000} \times 4.5 \times \bold{1,000}}}}[/tex]

[tex]\huge\boxed{\mathsf{3.4\times10,000}}\\\huge\boxed{= 34,000}\\\\\\\huge\boxed{\mathsf{4.5\times1,000}}\\\huge\boxed{{= 4,500}}}[/tex]

[tex]\huge\boxed{\mathsf{\rightarrow\bf 34,000\times4,500}}\\\huge\boxed{\rightarrow\mathsf{ORIGINAL \ ANSWER: \frak {153,000,000}}}}[/tex]

[tex]\huge\boxed{\textsf{Your answer: }\mathsf{153\times10^6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

what is the value of x in the equation 11+7x=-17

Answers

[tex]\\ \rm\Rrightarrow 11+7x=-17[/tex]

[tex]\\ \rm\Rrightarrow 7x=-7-11[/tex]

[tex]\\ \rm\Rrightarrow 7x=-28[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-28}{7}[/tex]

[tex]\\ \rm\Rrightarrow x=-4[/tex]

Answer: x = -4

Step-by-step explanation:

Given equation

11 + 7x = -17

Subtract 11 on both sides

11 + 7x - 11 = -17 - 11

7x = -28

Divide 7 on both sides

7x / 7 = -28 / 7

[tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Evaluate the expression when y = -2

- 8y2​

Answers

I believe this is the expression:

[tex] \displaystyle \large \boxed{ - 8 {y}^{2} }[/tex]

Since we want to evaluate it when y = -2, simply substitute y = -2 in the expression.

[tex] \displaystyle \large{ - 8 {( - 2)}^{2} }[/tex]

Any negative number squared will result in positive, refer below:

[tex] \displaystyle \large{ {( - a)}^{2} = {a}^{2} } \\ \displaystyle \large{ {( - 2)}^{2} = {2}^{2} } \longrightarrow \boxed{4} \\ [/tex]

Hence,

[tex] \displaystyle \large{ - 8(4) = - 8 \times 4} \\ \displaystyle \large \boxed{ -32}[/tex]

Answer:

-32

Step-by-step explanation:

Replace the variable y with -2 in the expression giving -8(-2)^2

Then, square -2 giving us (positive) 4

Lastly, multiply -8 with 4 and get -32 as our answer

(Hopefully this helped you! Feel free to ask again if you need more help. Tell me if the solution is unclear to you)

 

18/20-4/12
Show your work​

Answers

Answer:

17/30 (0.56)

Step-by-step explanation:

18/20-4/12

Reduce the fraction with 2 and 4: 9/10-1/3

Write all numerators above the least commmon denominator 30: 27-10/30

Subtract: 27-10/30 = 17/30

I’ve attached my work
Hope it helps!

Find the length of the missing side ( nearest tenth

Answers

Answer:

43.4 yd

Step-by-step explanation:

[tex]45^{2}[/tex]-[tex]12^{2}[/tex]

2025-144=1881

[tex]\sqrt{1881}[/tex]

43.37049

43.4

factorize 6(a+1)²+4(a+1)​

Answers

Answer:

[tex]2(a + 1) \times (3a + 5)[/tex]

Step-by-step explanation:

[tex]6(a + 1 {)}^{2} + 4(a + 1)[/tex]

➡️ [tex]2(a + 1) \times (3(a + 1) + 2)[/tex]

➡️ [tex]2(a + 1) \times (3a + 3 + 2)[/tex]

➡️ [tex]2(a + 1) \times (3a + 5)[/tex]

What is the interest rate when you borrow $600 for 1 year and pay $45.00 interest?

Answers

Answer:

Im not certain but I think 7.5% If you get another answer which is different trust them not me if u get one which is the same it should be correct

The interest rate was 7.5% when borrowing $600 for one year and paying $45.00 interest.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $600

Time (T) = 1 year

Simple interest = $45.00

⇒ Simple interest = P × R × T

Substitute the value of P, and T in the above formula, and solve for R

⇒ 45.00 = 600 × R × 1

⇒ 45.00 = 600R

⇒ R = 45.00/600

⇒ R = 0.075

⇒ R = 7.5/100

⇒ R = 7.5%

Therefore, the interest rate was 7.5%.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

Please no links because they dont work :).

Answers

Answer:

semoga jawapan ini dapat membantu

Can you guys help me find a flag that has at least one reflection and a translation in it? If not, then two flags that show these transformations.

This is very urgent and I need to get it done soon, whoever is willing to help me I'll mark you as brainliest. Thank you!

Answers

Answer:

The united nations flag the translation can be any of the blue triangles and the reflection if the flag itself as it is symmetrical

Step-by-step explanation:

The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.

How does reflection across axis work?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

If you're reflecting a point (x,y) along x axis, then its abscissa will stay same but ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

Therefore, The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.

Learn more about reflection;

https://brainly.com/question/12950057

#SPJ2

Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
the rules for determining the sign of the quotient when dividing integers. Use your own words
and use complete sentences. Make sure you answer both questions presented in this problem.
I

Answers

Answer:

hahaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

IF the signs ARE same the result is a POSITIVE, if the signs are NOT the same the result is NEGATIVE

Step-by-step explanation:

The radius of the circle below is 5 inches. What is the diameter of the circle?

Answers

Answer:

10 inches

Step-by-step explanation:

radius = 5 inches

Diameter = radius x 2 = 5 x 2 = 10 inches

If the divisor is 60, what is the least four-digit dividend that would not have a remainder?

Answers

Answer:

2400

which is not having any remainder as 2400÷60=40

Step-by-step explanation:

A ball is thrown into the air with an upward velocity of 80 feet per second. The function

h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?


after 3 seconds


after 4 seconds


after 5 seconds


after 6 seconds

Best explanation gets Brainliest!!

Answers

Answer:

After 5 seconds

Step-by-step explanation:

One is given the following expression to model to the flight path of a ball:

[tex]h=-16t^2+80t[/tex]

In this problem, one is asked to find the time at which the ball lands on the ground. The easiest way to do so is to factor the expression. Take out factors that both terms have in common. The one will set the equation equal to zero, as this is the height at which one wants to find the time for. Finally, use the zero product property to solve. The zero product property states that any number times zero equals zero. Apply these ideas to the given function:

[tex]h=-16t^2+80t[/tex]

Factor the expression; both terms have a common factor of (-16t):

[tex]h=-16t^2+80t[/tex]

[tex]h=-16t(t-5)[/tex]

Set the equation equal to zero to solve for when the ball has a height of zero or rather lands on the ground:

[tex]h=-16t(t-5)[/tex]

[tex]0=-16t(t-5)[/tex]

Now use the zero product property, this states that any number times zero equals zero. Set each of the factors equal to zero, and solve to find the value of (t) for which the factor will equal zero:

[tex]0=-16t(t-5)[/tex]

[tex]0=-16t[/tex]                          [tex]t - 5 =0[/tex]

Solve for the value (t) using inverse operations,

[tex]0=-16t[/tex]                            [tex]t - 5 =0[/tex]

(divide by (-16)                   (add (5))

[tex]0=t[/tex]                                     [tex]t=5[/tex]

As one can see, the ball started on the ground, therefore at (0) seconds, its height was (0). Then, after (5) seconds the ball landed on the ground, therefore, after (5) seconds its height was again (0).

Six times a number increased by five is fifty-three. What is the number?

Answers

Answer:

8

Step-by-step explanation:

6x+5=53

6x=48

6x/6=48/6

x=8

Which number is NOT plotted correctly on the number line?

Answers

B (ignore this filling in the character limit) rhhfhfhxndjhdfbdbfbhfhfjfj

Help help help help me pls !,!,!,

Answers

Answer:

96

Step-by-step explanation:

First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.

6x + 3y - 9 when
x = 6, y = 9

Answers

Answer:

63

Step-by-step explanation:

6x + 3y - 9

x = 6

y = 9

6(6) + 3(9)

36 + 27

= 63

The angle,2Θ, lies in the third quadrant such that cos2Θ=-2/5. Determine an exact value for tanΘ . Show your work including any diagrams if you plan to use them. (3 marks)

Answers

Answer:

[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]

Step-by-step explanation:

1. Approach

One is given the following information:

[tex]cos(2\theta)=-\frac{2}{5}[/tex]

One can rewrite this as:

[tex]cos(2\theta)=-0.4[/tex]

Also note, the problem says that the angle ([tex]2\theta[/tex]) is found in the third quadrant.

Using the trigonometric identities ([tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]) and ([tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]) one can solve for the values of ([tex]cos(\theta)[/tex]) and ([tex]sin(\theta)[/tex]). After doing so one can use another trigonometric identity ([tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]).  Substitute the given information into the ratio and simplify.

2. Solve for [tex](cos(\theta))[/tex]

Use the following identity to solve for ([tex]cos(\theta)[/tex]) when given the value ([tex]cos(2\theta)[/tex]).

[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]

Substitute the given information in and solve for ([tex]cos(\theta)[/tex]).

[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]

[tex]-0.4=2(cos^2(\theta))-1[/tex]

Inverse operations,

[tex]-0.4=2(cos^2(\theta))-1[/tex]

[tex]0.6=2(cos^2(\theta))[/tex]

[tex]0.3=cos^2(\theta)[/tex]

[tex]\sqrt{0.3}=cos(\theta)[/tex]

Since this angle is found in the third quadrant its value is actually:

[tex]cos(\theta)=-\sqrt{0.3}[/tex]

3. Solve for [tex](sin(\theta))[/tex]

Use the other identity to solve for the value of ([tex]sin(\theta)[/tex]) when given the value of ([tex]cos(2\theta)[/tex]).

[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]

Substitute the given information in and solve for ([tex]sin(\theta)[/tex]).

[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]

[tex]-0.4=1-2(sin^2(\theta))[/tex]

Inverse operations,

[tex]-0.4=1-2(sin^2(\theta))[/tex]

[tex]-1.4=-2(sin^2(\theta))[/tex]

[tex]0.7=sin^2(\theta)[/tex]

[tex]\sqrt{0.7}=sin(\theta)[/tex]

Since this angle is found in the third quadrant, its value is actually:

[tex]sin(\theta)=-\sqrt{0.7}[/tex]

4. Solve for [tex](tan(\theta))[/tex]

One can use the following identity to solve for [tex](tan(\theta))[/tex];

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

Substitute the values on just solved for and simplify,

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

[tex]tan(\theta)=\frac{-\sqrt{0.7}}{-\sqrt{0.3}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{0.7}}{\sqrt{0.3}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]

Rationalize the denominator,

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}*\frac{\sqrt{\frac{3}{`0}}}{\sqrt{\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}*\frac{3}{10}}}{\sqrt{\frac{3}{10}*\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{21}{100}}}{\frac{3}{10}}[/tex]

[tex]tan(\theta)=\frac{\frac{\sqrt{21}}{10}}{\frac{3}{10}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{21}}{10}*\frac{10}{3}[/tex]

[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]

PLEASE HELPP MEEE I NEED THE ANDWER QUICKKK
20.00$ - a=8.45$

Answers

the answer to the equation is $11.55

Answer:

a= 11.55

Step-by-step explanation:

If the answer is 8.45, then the variable equals the difference of 20 minus the answer, 8.45

Hope this helps!

f(x)=|-3x+4|+5 help?

Answers

Answer:

This will plot as an upward  "V" with the vertex at x = 4/3, y = 5

Step-by-step explanation:

The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so

-3x + 4 = 0

-3x = -4

x = 4/3

which makes y = 5 (the minimin)

If the mine winch drum diameter is 4,5m, calculate how far the counterweight will lift each single rotation of the drum, use formula C=2πr

Answers

Answer:

i have no idea that's why I need ur help

whats number 26.




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

Answers

Answer:

y = 1/3mx + b

Step-by-step explanation:

x = 3(y - b)/m

~Multiply m to both sides

mx = -3b + 3y

~Add 3b to both sides

mx + 3b = 3y

~Divide everything by 3

1/3mx + b = y

y = 1/3mx + b

Best of Luck!

[tex]\\ \rm\longmapsto x=\dfrac{3(y-b)}{m}[/tex]

[tex]\\ \rm\longmapsto mx=3(y-b)[/tex]

[tex]\\ \rm\longmapsto mx=3y-3b[/tex]

[tex]\\ \rm\longmapsto 3y=mx+3b[/tex]

[tex]\\ \rm\longmapsto y=\dfrac{1}{3}mx+b[/tex]

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