Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides
of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner.
How many centimeters of ribbon will Peter need to make the "X"?
Round your answer to the nearest centimeter.

Answers

Answer 1

Answer:

34 centimetres

Step-by-step explanation:

Since the flag is made of a square white flags, then all its sides are equal in length. a diagonal of a square would divide it into two equal triangle.

Let the length of the diagonal be represented by t, such that;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]

[tex]t^{2}[/tex]  = [tex](12)^{2}[/tex] + [tex](12)^{2}[/tex]

           = 144 + 144

[tex]t^{2}[/tex]  = 288

t = [tex]\sqrt{288}[/tex]

t = 16.9706

t = 17 centimetres

The length of a diagonal of the flag is 17 centimetres.

So that,

The centimetres of ribbon required to make the "X" = 2 x diagonal

                                                            = 2 x 17

                                                            = 34

The centimetres of ribbon required to make the "X" is 34 centimetres.


Related Questions

1/3m = 12-m

Please explain step by step to get marked as brainliest.

Answers

Step-by-step explanation:

cross multiply

12-m(3m)= 1

12-3m²-1=0

multiply by -1

3m²+1-12=0

3m²= 11

m²= 11/3

m=√11/3.

Construct the requested confidence interval. A meteorologist was interested in the average speed of a thunderstorm in his area. He sampled 13 thunderstorms and found that the average speed at which they traveled across the area was 15 miles per hour with a sample standard deviation of 1.7 miles per hour. Assuming the speed of a thunderstorm is approximately normal, construct a 99% confidence interval for the true average speed of a thunderstorm in his area.

Answers

Answer:

The 99% confidence interval for the true average speed of a thunderstorm in his area is between 13.56 miles per hour and 16.44 miles per hour.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 13 - 1 = 12

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.0545

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.0545\frac{1.7}{\sqrt{13}} = 1.44[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.44 = 13.56 miles per hour

The upper end of the interval is the sample mean added to M. So it is 15 + 1.44 = 16.44 miles per hour.

The 99% confidence interval for the true average speed of a thunderstorm in his area is between 13.56 miles per hour and 16.44 miles per hour.

A book publisher find production cost associated 30 and fixed cost 25000 if each book is sold for 50 find cost function and profit function

Answers

The cost function is a function that describes the total cost of producing x number of books. The fixed cost of 25000 is a constant cost that does not depend on the number of books produced, so it is not included in the cost function. The cost function is therefore:

Cost function: C(x) = 30x

The profit function is a function that describes the profit made from selling x number of books. The profit is equal to the revenue from selling the books minus the cost of producing the books. The revenue from selling x number of books at a price of 50 each is 50x, so the profit function is:

Profit function: P(x) = 50x - 30x = 20x

This profit function tells you that for every book you sell, you will make a profit of 20.


An appliance store sells 373 vacuum
cleaners in the month of August. If it
sells 300 more vacuum cleaners in the
next month, how many vacuum
cleaners does it sell in September?​

Answers

673! Hope this helps. The work for it would be 373+300= 673.

Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's coin collection?

Answers

Answer:

140

Step-by-step explanation:

7/.05 -140

Help pleaseeeeeee, I need help

Answers

Answer:

15, 60, and 61

Step-by-step explanation:

First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2

c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6

13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:

c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6

18.6 isn’t one of the answers either. Let’s try 15 & 60:

c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85

61.85 might be it but let’s try one more just in case:

c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6

Nope! That means 15, 60, and 61 are the answer. I hope this is correct!

Pls help! Step by step

Answers

Answer:

x = 55

Step-by-step explanation:

Since the sides of the shape are parallel, AngleC and AngleD will add up to 180° (see "parallel lines cut by a transversal" or maybe you have learned a big pile of parallelogram theorems)

Use this relationship to set up an equation.

2x + 20 + 50 = 180

combine like terms

2x + 70 = 180

subtract 70

2x = 110

divide by 2

x = 110/2

x = 55

x is 55

Answer:

The value of x is 55°

Step-by-step explanation:

GivienTwo adjacent angles of a parallelogram are (2x + 20)° and 50° respectively

Since we know that opposite angles of a parallelogram are equal

m∠C = m∠B = (2x + 20)°m∠D = m∠A = 50°

The sum of any two adjacent angles is supplementary. This means, ∠A + ∠B = 180°, ∠B + ∠C = 180°, ∠C + ∠D = 180°, and ∠D + ∠A = 180.

So,

∠C + ∠D = 180°

(2x + 20)° + 50° = 180°

2x + 70° = 180°

2x + 70° - 70° = 180° - 70°

2x = 110°

2x/2 = 110°

x = 55°

Thus, The value of x is 55°

Please help solve the equation using cos(no links)

Answers

Answer:

cos 52 = 11/alpha ---> alpha = 11/cos52 = 17.9

Use the distributive property to write an equivalent expression.
16+32
Hint: find the gcf.

Answers

Answer:

2( 4+4) = 16

Step-by-step explanation:

The gcf of 16+32 is 16

44x46 ayuda plssss speak spanish plssssss​

Answers

Answer:2024

Step-by-step explanation: 44x46

How much is 2a + b greater than a - 2b​

Answers

Answer:

2a + b>a-2b( just an inequality solution)

hope this helps

have a good day :)

Step-by-step explanation:

Uguguccyyfivycukuufihufugfutgyff

Write an equation in standard form of the line that passes through the point and has the
given slope.(-2, 4); m = -6
O None of the other answers are correct
Oy - 6x = 8
O 6x + y = -8
Oy - 6x = -8
O 6x - y = 8

Answers

Answer:

6x + y = -8

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

m = -6

So

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

(-2, 4)

This means that when [tex]x = -2, y = 4[/tex]. We use this to find b.

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

[tex]4 = -6(-2) + b[/tex]

[tex]b = 4 - 12 = -8[/tex]

So

[tex]y = -6x + -8[/tex]

[tex]6x + y = -8[/tex]

The product of all of the solutions of (4x + 2k)(2 -5x ) = 0 is (−15). Find k.

Answers

Answer:

k = 75

------------------------------

Given equation:

(4x + 2k)(2 - 5x) = 0

Its solutions are:

4x + 2k = 0 and 2 - 5x = 04x = - 2k and 2 = 5xx = - 0.5k and x = 0.4

The product of the solutions is -15:

- 0.5k * 0.4 = - 15- 0.2k = - 15k = - 15/- 0.2k = 75

3x • 3y + 8 when x = 3, y = 2

Answers

Answer:

62

Step-by-step explanation:

Substitute x by 3 and y by 2

3*3*3*2+8=62

Rosa sold lemonade at a baseball game. She sold 101 cups for $2.00 each.
She spent $40.50 on supplies. How much money did she make?

Answers

Answer: it’s 161.50

What is equivalent to " two more than three times a number is seven

Answers


Answer:

if it’s asking for a numerical answer it would be 1.67

(Rounded to the nearest two)

Step-by-step explanation:

Select all the values of r that make the inequality r>4.6 true.

A. 4.60
B. 5.05
C. 3.7
D. 4.9
E. 4.08

Answers

B and D are the only correct ones

question 12 to find the shaded portion

Answers

12. The area of the shaded portion is the sum of the areas of a trapezoid and a parallelogram.

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

9. The area of the shaded region is the area of the smaller trapezoid subtracted from the area of the larger trapezoid which is,

= [{(1/2)×(10 + 6)×8} - {(1/2)×(5 + 3)×4}].

= [8×8 - 4×4] cm².

= 64 - 16 cm².

= 48 cm².

10. Similarly the figure in (10) is twice the area of the two trapezoids.

11. We have subtract the sum of the areas of the trapezoid and the triangle from the larger rectangle.

12. The total area is the sum of the areas of the trapezoid and the parallelogram.

13. The larger figure is a rectangle with a right-angle triangle on top.

We have to subtract two rectangles from this to obtain the area of the shaded region.

14. To obtain the area of the shaded region we have to subtract the area of the trapezoid from the larger triangle with a height of 10cm.

learn more about trapezoids here :

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please help me with this

Answers

Answer:

.38 or 38%

Step-by-step explanation:

I divided 44 by 116 then rounded

Answer: 38% of boys play an instrument.

Step-by-step explanation:

They are asking for the percentage of boys that play an instrument.

44 ÷ 116 = 0.379310...

Round to the nearest hundredth

0.38

Find the percentage

0.38 × 100 = 38 or 38%

Quadratic polynomial which has zeros at 7 and 3?

Answers

Answer:

x^2 - 10x + 21

Step-by-step explanation:

Sum of zeros

= 7 + 3

= 10

Product of zeros

= 7 x 3

= 21

x^2 - ( sum of zeros )x + product of zeros

= x^2 - 10x + 21

The Quadratic polynomial is x^2 - 10x + 21.

if the zeroes of a quadratic polynomial are a and b, then the polynomial can be written as :

[tex] \boxed{{x}^{2} - (a + b)x + ab}[/tex]

So,

[tex] \hookrightarrow \: {x}^{2} - (7 + 3)x + (7 \times 3)[/tex]

[tex]\hookrightarrow \: {x}^{2} - 10x + 21[/tex]

Solve equation2/3*2/3*2/3*2/3=

Answers

Answer:

16/81

Step-by-step explanation:

Same as (2/3)^4

I WILL GIVE BRAINLIST
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for 10,
Round to the nearest whole number,
14 in
14 in.
15 in
Suom
Save and Exit
thandro


Answers

The answer to your questions is 224. I hope this helped! Good luck on anymore tests and questions.

A company bought New Year's greeting cards to send to its valued customers. Sixty of the cards they sent cost $2.30 each. Thirty of the cards cost $2.75 each The remaining 34 cards cost $1.95 each. What was the total amount spent on these cards?​

Answers

Answer:

$287.82

Step-by-step explanation:

60 * 2.30 = 138

30 * 2.75 = 82.5

34 * 1.98 = 67.32

138 + 82.5 + 67.32 = 287.82

Helpp me pleasee! No fake people or responses

Answers

Answer:

The first statement and the 3rd statement are true. :)

For future reference, cosine is ratio of the adjacent side to the hypotenuse

Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes

Answers

Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.

What is the division operation?

The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).

The distance between Benjamin and Felix = 35 miles

Benjamin's jogging pace or speed = 16 minutes per mile

Felix's jogging pace or speed = 10 minutes per mile

The number of miles that Benjamin can jog in 45 minutes = Time/Speed

= 2.8125 miles (45/16)

Thus, Benjamin will jog 2.8 miles in 45 minutes.

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Sharon created a rectangular prism with cubes that have a side length of 1 inch. The prism is shown below.

What is the volume of Sharon’s prism? A. 18 cubic inches B. 27 cubic inches C. 36 cubic inches D. 54 cubic inches

Answers

Answer:

6 x 2 x 3 = 36

Step-by-step explanation:

C is answer :)

Answer:

lets look at the width and the height and the length!

your width is: 6

your height is: 2

your length is: 3

Now lets multiply all given lengths to find the volume!

6 x 2 x 3 = 36 cubic inches!

If point C is between points A and B, AB=43, AC= -12x -9, BC = 24x + , what is the value of X? please help

Answers

Answer:

equation: 43+(-12x-9)+24x=X

Step-by-step explanation:

Someone HELPPppp for tmr

Answers

Answer:

y=1x-6

Step-by-step explanation:

First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.

-Hope this helped

(Pythagorean Theorem and the Coordinate Plane MC)
Determine the perimeter of the right triangle shown
O 10 units
O 24 units
O 36 units
O 64 units

Answers

Answer:

A

Step-by-step explanation:

refer the sketch for step by step answer

compare the function rule f(x) = 3x +2 and the graph of g(x)

which statements are true? select two that apply.
-g(x) increases at a faster rate over the interval (-1,0)
-g(x) increases at a faster rate over the interval (1,2)
-g(x) increases at a faster rate over the interval (0,1)
-f(x) increases at a faster rate over the interval (2,3)
-f(x) increases at a faster rate over the interval (0,1)
-f(x) increases at a faster rate over the interval (1,2)

Answers

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x)

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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