A fashion designer created a sketch of a square scarf. The design has one large triangle and two congruent smaller triangles. The shaded portion shows the part made from red silk. The sketch of the scarf has a scale of 5 inches = 3 feet. How much red silk does the fashion designer need to make the scarf? which i the answer : 2.25 ft2 4.5 ft2 6.25 ft2 12.5 ft2

Answer: [tex]3[/tex]

Add

[tex]19/8+5/8=24/8[/tex]

Divide

[tex]24/8=3[/tex]

Answer:

3

Step-by-step explanation:

To add these fractions, find the LCD (least common denominator). Then divide by 8. You get 3.

So your answer will be 3. Hope this helps!

Answer:

The first one is 0, the second one is ARN (All real numbers)

Step-by-step explanation:

1. Anything raised to the "zeroth" power is always 1

2. Because 7 is being raised to the zeroth power, the number inside the parentheses becomes 1. Now x can equal anything, 1 times itself will always equal 1, no matter how many times you multiply them.

Equations can have one, zero or infinitely many solutions.

[tex](a)\ (6^2)^x = 1[/tex]

Express 1 as [tex]6^0[/tex]

[tex](6^2)^x = 6^0[/tex]

Express 0 as 2 x 0

[tex](6^2)^x = 6^{2 \times 0}[/tex]

Open the bracket

[tex]6^{2 \times x} = 6^{2 \times 0}[/tex]

Cancel out 6 on both sides

[tex]2 \times x =2 \times 0[/tex]

Divide both sides by 2

[tex]x =0[/tex]

Hence, the value of x is 0

[tex](b)\ (6^0)^x = 1[/tex]

Express [tex]6^0[/tex] as 1

[tex]1^x = 1[/tex]

Express [tex]1^x[/tex] as 1

[tex]1 = 1[/tex]

Both sides of the equation are the same

This means that:

x has infinitely many solutions

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Greetings from Brasil...

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, according to the statement, it is desired:

G ∩ F - the intersection between the 2 sets, that is, which numbers are present simultaneously in the 2 sets....

Looking at the sets we conclude that

OBS: note that in truth G are the multiples of 4

Answer:

[tex]L = 43[/tex]    and   [tex]M = 47[/tex]

Step-by-step explanation:

Given

[tex]L = 2x + 25[/tex]

[tex]M = 4x + 11[/tex]

Required

Determine the values of L and M

Since L and M are complementary, we have that

[tex]L + M = 90[/tex]

Substitute values for L and M

[tex]2x + 25 + 4x + 11 = 90[/tex]

Collect Like Terms

[tex]2x + 4x = 90 - 11 - 25[/tex]

[tex]6x = 54[/tex]

Divide both sides by 6

[tex]x = \frac{54}{6}[/tex]

[tex]x = 9[/tex]

Substitute 9 for x in the expressions of L and M

[tex]L = 2x + 25[/tex]

[tex]L = 2 * 9 + 25[/tex]

[tex]L = 18 + 25[/tex]

[tex]L = 43[/tex]

[tex]M = 4x + 11[/tex]

[tex]M = 4 * 9 + 11[/tex]

[tex]M = 36 + 11[/tex]

[tex]M = 47[/tex]

Answer:

  A = 95238 (only)

Step-by-step explanation:

The question is equivalent to asking what n-digit number consisting only of the digit n will be divisible by n+1. Of the numbers 1, 22, 333, 4444, ... 999999999, the only one is 666666, which is divisible by 7.

The 5-digit integer A is 666666/7 = 95,238. There is only one instance of A.

Answer:

9√3

Step-by-step explanation:

√(81*3)

√81*√3

9√3

Answer is b) 2/5

good luck

Answer:

[tex]70\sqrt{2}[/tex]

Step-by-step explanation:

Since angle A is 45, the height of the base BC is 10/[tex]\sqrt{2}[/tex] by 1-1-sqrt(2) triangles.

Then we can apply parallelogram area formula.

=====================================================

Explanation:

One formula you can use is

A = b*c*sin(theta)

where angle theta is between sides b and c

Note how angle A is between sides AB = 10 and AD = BC = 14.

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

Using that formula gives

A = b*c*sin(theta)

A = 10*14*sin(45)

A = 140*sin(45)

A = 140*sqrt(2)/2 ... use unit circle

A = (140/2)*sqrt(2)

A = 70*sqrt(2)

Answer:

28

Step-by-step explanation:

if you do 7 + 7 + 7 + 7 that equals 28.

Answer:

x = 0

Step-by-step explanation:

Hello!

2(x + 4) - 5 = 3x + 3

Distribute the 2

2x + 8 - 5 = 3x + 3

Combine like terms

2x + 3 = 3x + 3

Subtract both sides by 2x

3 = x + 3

Subtract both sides by 3

0 = x

The answer is x = 0

Hope this helps!

Answer: [tex]x=0[/tex]

Simplify both sides of the equation

[tex]2(x-4)-5=3x+3\\(2)(x)+(2)(4)+-5=3x+3(Distribute)\\2x+8+-5=3x+3[/tex]

[tex](2x)+(8+-5)=3x+3[/tex](Combine Like Terms)

[tex]2x+3=3x+3[/tex]

Subtract 3x from both sides

[tex]2x+3-3x=3x+3-3x\\-x+3=3[/tex]

Subtract 3 from both sides

[tex]-x+3-3=3-3\\-x=0[/tex]

Divide both sides by -1

[tex]-x/1=0/-1\\x=0[/tex]

Answer:

25.

Step-by-step explanation:

I am assuming you only mean the small triangles, not the composite ones.

The  second  triangle set has 3 triangles on bottom row and 1 on the top - total 4.

The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top  - total  9

Following the pattern 4th set will have the number of triaNGLES

7 + 5 + 3 + 1 = 16.

So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.

Answer:

cos 315°   =   45° reference angle in the 4th quadrant =  √2 /2

And sin 315°    is the negative of this

So  

z = (3) cos 315°  + ( 3i ) sin 315°  =

[   (3/2)√2  ,  - (3/2) √2 i  ]

Answer: variability between means increases relative to the variability within groups

Step-by-step explanation:

The formula to calculate F-ratio : variance between groups divided by variance within groups

Here, F-ratio [tex]\propto[/tex] is proportional to variance between groups but inversely proportional to variance within groups .

So, F-ratio increases when variability between means increases relative to the variability within groups.

Answer:

10.3

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2} \\[/tex]

a and b being the sides and c being the hypotenuse.

[tex]3.9^{2} + b^{2} = 11^{2}[/tex]

15.21 + [tex]b^{2}[/tex] = 121

[tex]b^{2}[/tex] = 121 - 15.21

[tex]b^{2}[/tex] = 105.79

b = [tex]\sqrt{105.79}[/tex]

b = 10.3

Hope that helped!!! k

Answer:

x=2

Step-by-step explanation:

Answer:

[tex]|RS| = \sqrt[3]{19}[/tex]

Step-by-step explanation:

The computation of the magnitude is shown below:

Data provided in the question

Given points

R(3,7,-1), S(10,-4,0)

Now the distance lies between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

     = (7, - 11, 1 )

After that, the magnitude is determined by using the following calculation part

[tex]|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}[/tex]

Answer: 12 miles

Step-by-step explanation:

Ok, we know that:

Distance = Time*Speed.

or:

D = T*S

The distance between the house and the school is constant, and suppose that T is the exact time such that you arrive just in time, then:

" If you  drive at an average speed of 45 mph, you arrive 1 min early  for the first bell. "

We can write this as:

D = (T - 1min)*45mi/h.

"If you drive at an average speed 40 mph,  you arrive 1 min late."

We can write this as:

D = (T + 1min)*40mi/h.

So we have a system of linear equations:

D = (T - 1min)*45mi/h.

D = (T + 1min)*40mi/h.

First, 1 hour has 60 mins, then 1 min = (1/60) hours.

We do this change because in the system of equations we have minutes and hours, and we can only work with one unit, now we can write the equations as:

D = (T - (1/60)h)*45mi/h.

D = (T + (1/60)h)*40mi/h.

now, we can write:

D = (T - (1/60)h)*45mi/h. = (T + (1/60)h)*40mi/h.

Now we can solve this for T.

(T - (1/60)h). = (T + (1/60)h)*(40/45)

T = (T + (1/60)h)*(40/45) + (1/60)h

T - T*40/45 = (1/60)h*(1 + 40/45) = 0.031 h

T*(1 - 40/45) = 0.031 h

T = 0.031h/(1 - 40/45) = 0.283... hours

Now, to find the distance to the school we can replace this time in one of the equations:

D = (T + (1/60)h)*40mi/h. = (0.283...h + (1/60)h)*40mi/h = 12 miles.

[tex]\frac{1}{3}x-1=\frac{3}{5}\\ \\5x-15=9\\\\5x=9+15\\\\5x=24\\\\x=\frac{24}{5}\\ \\x=4\frac{4}{5}[/tex]

Step-by-step explanation:

i guess that is the correct answer

Answer:

1)  -15·a·(5·b² + c)

2) h < 4

3) 4·x² - 9

4) 1792

5)  156°

6) 2t cm

7) 2·a·m·(2·m - 3)

8)  10 cm

9) 0.00051

10)  #47,250

11)  -10·p·q

12) 1.35 × 10⁻⁴

13) 320°

14) 20 cm

15) 12·x²·y²

16) 6.36 × 10⁵

17) 4 cm

18)  225°

19) 1034 cm²

20) 29

Step-by-step explanation:

1) The given expression is -75·a·b - 15·a·c

Which can be expressed as -15·a·(5·b² + c)

2) The height, h < 2 × 12/6 = 4

h < 4

3) (2·x - 3)·(2·x + 3) = 4·x² - 9

4) The selling price = 1.12 × 200 × 8 = 1792

5) The interior angle of a polygon is given by the relation;

(n - 2)×180/n for 15, we get;

(15 - 2)×180/15 = 156°

6) 2t cm

7) 4·a·m² - 6·a·m = 2·a·m·(2·m - 3)

8) Slant height = √(8² + 6²) = 10 cm

9) 51 × 10⁻⁵ = 0.00051

10) Cash price = #54,000 × (1 - 0.125) = #47,250

11) -40·p·q÷(-2)² = -10·p·q

12) 0.003 × 0.045 = 1.35 × 10⁻⁴

13) N40°W = 320°

14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm

15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²

16) 636,000 = 6.36 × 10⁵

17) 1/3·π·r²·h₁ = π·r²·h₂

h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3

h₂/12 =  1/3

h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm

18) The angle = 180 + 45 = 225°

19) The total surface area = 22/7×14²/4 +  22/7 ×14 × 20 = 1034 cm²

20) The number is 58/2 = 29.

Answer:

9) 51 × 10⁻⁵ = 0.00051

10) Cash price = #54,000 × (1 - 0.125) = #47,250

11) -40·p·q÷(-2)² = -10·p·q

12) 0.003 × 0.045 = 1.35 × 10⁻⁴

13) N40°W = 320°

14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm

15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²

16) 636,000 = 6.36 × 10⁵

17) 1/3·π·r²·h₁ = π·r²·h₂

h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3

h₂/12 =  1/3

h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm

18) The angle = 180 + 45 = 225°

19) The total surface area = 22/7×14²/4 +  22/7 ×14 × 20 = 1034 cm²

20) The number is 58/2 = 29.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(2x - 3) + [ 4x(3x + 2)]

2x - 3 + [ (4x*3x) + (4x*2) ]

2x - 3 + [ 12x² + 8x ]

2x - 3 + 12x² + 8x

12x² + 10x - 3

Answer:

45.57

Step-by-step explanation:

3 x 2.49 =7.47

4.65

5 x 0.67 = 3.35

5 x 6 = 30

7.47+ 4.65 + 3.35 + 30 = 45.47

Answer:

60%

Step-by-step explanation:

Cameras sold on Day 4 = 25, on Day 5 = 40

The difference in numbers of sold cameras = 40 - 25 = 15

The increase is 15 cameras.

Percentage increase:

Answer is 60% increase on Day 5 compared to Day 4

Answer:

The distance from Platform B to Platform C is 26.926 units

Step-by-step explanation:

The given parameters are;

The zip-line course distance from platform A to platform F are given;

On the given graph of the path of travel we have;

Coordinates of the point B = (-25, -20) and the coordinates of the point C = (-15, 5)

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given by the formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, the distance between B and C is found by substituting (-25, -20) = (x₁, y₁) and (-15, 5) = (x₂, y₂)

Which gives;

[tex]l = \sqrt{\left (5-(-20) \right )^{2}+\left ((-15)-(-25) \right )^{2}} = 26.926 \ units[/tex]

The distance from points B to C = 26.926 units.

Answer:

Hey there!

A pie graph is best used for looking at the percentages in each category.

Let me know if this helps :)

Answer:

Pie charts are used to show percentage or proportional data.

Answer:

1. The total is the unknown which is 7

5 books about planet

2 books about dinosaurs

7 number of books in all

Number of books about planets is 5, Number of books about dinosaurs is 2, and Number of books in all is 7.

Two or more expressions with an Equal sign is called as Equation.

Given that  Kiana goes to the library.

The number of books Kiana borrow about planets is 5 books.

The number of books Kiana borrow about dinosaurs is 2 books.

we need to find the number of books bought in all.

We need to add the books.

5 books + 2 books

7 books.

Number of books about planets is 5.

Number of books about dinosaurs is 2.

Number of books in all is 7.

Hence, Number of books about planets is 5, Number of books about dinosaurs is 2, and Number of books in all is 7.

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Question

Suppose the following facts to be true: The probability of a random kindergartener having chicken pox at any given time is 2%. Among kindergarteners who have chicken pox, 75% have red spots. Among kindergarteners who do not have chicken pox, 1% have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.

Answer:

75/124

Step-by-step explanation:

This is a question based on conditional Probability

We would solve this using Bayes's Theorem of Conditional Probability

From the above question, we have the following information:

The probability of a random kindergartener having chicken pox at any given time is 2%.

Hence, the probability that a kindergartner would not have chicken pox

= 100% - 2%

= 98%

Kindergarteners who have chicken pox, 75% have red spots.

Kindergarteners who do not have chicken pox, 1% have red spots.

The Sanjay, a kindergartener, has red spots, the probability that Sanjay has chicken pox is calculated as:

= (Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots)/ [(Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots) + (Probability Kindergarteners who do not have chicken pox and have red spots ⋂ Probability that a kindergartner would not have chicken pox)

= (2% × 75%)/[(2% × 75%) +( 1% × 98%)]

= 150/150 + 98

= 150/248

= 75/124

Answer:

8 1/3 %

Step-by-step explanation:

Since he bought for 240 and sold for 220, decrease is 20 Rupees.

20/240 = 1/12

100/12 = 8.33333 (Repeated)

0.33333 (repeated) = 1/3

8 1/3 %

Hope this helps!

Area of a square game board = 179 inches ²

Calculate the side of given square game board.

Area of square = ( Side )²

We know that,

Area of square = ( Side )²

★ Substituting the value in the above formula, we get :

=> 179 = ( Side )²

=> Side = √179

=> Side = 13.37 inches ( approx )

Answer:

13.38 in

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]a=s^2[/tex]

where a is the area and s is the side length.

We know that the area of the square is 179 in^2. We can substitute that value in for a.

[tex]179 in^2=s^2[/tex]

We want to find the side length. Therefore, we have to isolate the variable, s.

s is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

[tex]\sqrt{179 in^2}=\sqrt{s^2}[/tex]

[tex]\sqrt{179 in^2}=s[/tex]

[tex]13.3790882 in =s[/tex]

We want to find the approximate side length. Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 to a 8,

[tex]13.38 in= s[/tex]

The side length of the board game is about 13.38 inches.