A traffic sign casts a shadow 7m long at the same time a person 1.6m tall casts a shadow 4m long. Find the height of the sign.​

Using the statistical formula, the median of the given data-set is 20.5.

It is given that

Number of touchdowns in 10 sessions are:

29, 5, 26, 20, 23, 18, 17, 21, 28, 20

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

For the median, let us arrange the given data in ascending order.

5, 17, 18, 20, 20, 21, 23, 26, 28, 29

Number of terms = 10

Median of n terms when n is even is given by:

(n/2^th term+ (n/2 +1)^th term)/2

n/2 th term = 5th term = 20

(n/2+1)th term = 6th term = 21

So median= (20+21)/2 = 20.5

Therefore, the median of the given data-set is 20.5

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Answer:

The range is 24 touchdowns.

The interquartile range is 8 touchdowns.

Step-by-step explanation:

Answer:

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Answer:

sunil is 28 cm taller than Megan

Answer:

28cm

Step-by-step explanation:

so basically

Sunil take away Megan =answer

137-109=28cm

b = Bethan's Income

hmmm how much is 32% of "b" anyway?  

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor. The scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.

As it is given that the perimeter of the original figure is 68 feet while the perimeter of the scale drawing is 17 feet. therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Perimeter of the Scale Drawing}}{\text{Perimeter of the Original Drawing}}[/tex]

[tex]\rm Scale\ factor = \dfrac{17}{68} = \dfrac{1}{4}[/tex]

Hence, the scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

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Answer:

It’s 1/4

Step-by-step explanation:

Answer:

[tex]1051 .55 {mm}^{2} [/tex]

Step-by-step explanation:

Find the area of the square - area of 4 sectors

We'll use the formula to find one sector area

[tex]a = \frac{1}{2} \times {r}^{2} \times x[/tex]

where r is the radius of one sector and x is the angle in radians

Since each angle is in a square, the angle of the sectors is 90 degrees.

Convert degrees to radians

[tex]90 = \frac{1}{2} \pi \: rad[/tex]

The radius of one sector is given by 70mm/2=35mm

One sector area:

[tex] \frac{1}{2} \times {35}^{2} \times \frac{1}{2} \pi = 306.25\pi[/tex]

Area of all 4 sectors:

[tex]4 \times 306.25\pi = 1225\pi[/tex]

Area of the square:

[tex]70 \times 70 = 4900[/tex]

Hence, Area of square - 4 Sectors:

[tex]4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)[/tex]

Answer:

1053.50 mm^2

Explanation:

first calculate the area of square ABCD

area of ABCD = AB × AB

= 70 × 70 = 4900 mm^2

if you look closely, there are 4 quater-circles with radius (AB/2 = 35 mm) and their center A,B,C and D.

now

area of any one quater circle =( pi × r^2 )/4

area of 4 quater circle =(pi × r^2)

where, pi = 3.14 and r = radius of quater circle

area of 4 quater-circle = (3.14 × 35^2)= 3846.50 mm^2

hence area of shaded region = area of square - area of 4 quater circles

= 4900 - 3846.50

=1053.50 mm^2

Answer:

256b^4

Step-by-step explanation:

4b^2*4b16b

4b^2*64b^2

256b^4

Answer:lim x- √16-x²=32

Step-by-step explanation:

[tex]x^{4}[/tex]-16

=(x²)²-4²

=(x²-4)(x²+4)

=(x²-2²)(x²+4)

=(x-2)(x+2)(x²+4)

So:

[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)

with exclusion:

x[tex]\neq[/tex]2

Hence:

lim [tex]\frac{x^{4}-16 }{x-2}[/tex]

x-2

((x+2)([tex]x^{2}[/tex]+4))=

((2)+2)((2)²+4)=4⋅8=32

Answer:

Step-by-step explanation:

Formula

V = (4/3) pi r^3

Givens

pi = 3.14

r = 25.9 inches

Solution

V = (4/3) pi r^3                     Substitute values

V = (4/3) * 3.14 * 25.9^3

V = (4/3) * 3.14 *17373.98

V = 72739.1

Answer:

g(x)= x^2-5

g(0)= (0)^2-5

= 0-5

= -5

g(2)= (2)^2-5

=  4-5

= -1

g(4)= (4)^2-5

= 16-5

=11

Answer:

100

Step-by-step explanation:

The fraction 2/3 says there are 3 total parts to the track, but Pete only rode 2 of them.

In this type of problem you always multiply the amount of the whole (150) times the fraction of the whole you are calculating (2/3) to get the answer.

150*2 = 300 divided by 3 = 100

Or 150 * (2/3) = 150 * 0.66667 = 100

Answer:

x=2 , y=3

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

I believe you meant 8x−y^2−3.    The expression 8x−y2−3 is meaningless.

Letting x take on the vaue -1/4 and y the value 3, we get:

8(-1/4) − (3)^2−3, or

-2        -  9 - 3, or

-2 - 12.  Final answer is -14

Answer:

(- 7, - 1 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , thus

(- 1, 7 ) → (- 7, - 1 )

Answer:

-1 >x

Step-by-step explanation:

-4(7+6x)<-2(x-6)

-28-24x<2(x-6)

-28-24x<-2x-6

+6. +6

-22-24x<-2x

+24x +24x

-22 < 22x.

-22÷-22=1 that canceled out

+22÷-22= -1

-1>x. because we divided by a negative the inequality switched.

Hope this helped

Answer:

25n + 600 > 1400 ​

Step-by-step explanation:

Answer:

Step-by-step explanation:

180° ( n - 2 )

n = 6 sides

4( x )° + 2( x - 6 )° = 180° ( 6 - 2 )

4x + 2x - 12 = 720

6x = 732

x = 122

x° = 122 °

( x - 6 )° = 116 °

122° + 116° + 122° + 122° + 116° + 122° = 720°

Answer:

Step-by-step explanation:

10 pound of apple Sells and 20 pound of Raspberry sells

The amount of Canadian dollar that can be exchanged with NC. 45000 is; 533.69 canadian dollar

We are told that;

NC. 200 = 2.45 Australian dollar

8116 Australian dollar = 8152 canadian dollar

Thus;

NC per Australian dollar = 200/2.45 NC/AUS Dollar

Thus;

200/2.45 NC = 1 Australian dollar

8116/8152 Australian dollar = 1 canadian dollar

Since 1 Australian dollar = 200/2.45 NC , then

8116/8152 Australian dollar = 8116/8152 * 200/2.45

⇒ 81.272 NC

Thus;

81.272 NC = 1 canadian dollar

Then; NC.45000 = 45000/81.272  = 533.69 Canadian dollar

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Answer:

11 2/3

Step-by-step explanation:

Let’s do this

5*2 1/3

Convert the mixed fraction to an improper fraction

2 1/3= 3*2+1=7/3

Now let’s multiply straight across

5*7/3=5/1 * 7/3=35/3

To get mixed number, divide

35/3=11 2/3

And if we convert 11 2/3 to improper, we get 35/3, which is correct. So therefore the answer is 11 2/3.

Hope this helps!

(If possible, please mark me brainliest if possible!)

Answer:

Where is the question???

Answer:

54 and here is why..

Step-by-step explanation:

In order to calculate the surface are of the prims, you have to calculate the area of each face of the prism, also you have to remember the different formulas to calculate the areas:

Rectangle will be (Length x Width) and

Triangle will be (Base x Height / 2)

SOOO, You just have to insert the values into formulas:

Rectangle1 = 4 x 3.5

Rectangle1 = 14

Rectangle 2 = 5 x 3.5

Rectangle 2 = 17.5

Rectangle 3 = 3 x 3.5

Rectangle 3 = 10.5

Triangle 1 = 4 x 3 / 2

Triangle 1 = 6

Triangle 2 = 4 x 3 / 2

Triangle 2 = 6

SOoo again, if you add all the faces, you get the surface area of the prims:

14+17.5+10.5+6+6=54

I hope this help you my friend, have a good day

Answer:

Step-by-step explanation:

Give him brainliest

The density of the lime is 1.38 g/cm^3.

Remember that the density is given by the quotient between mass and volume.

Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

So our lime has a volume:

V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3

And the mass is M = 90 grams, then the density is:

D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3

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Alternate Interior Angles are formed on the interior of the parallel lines, on the opposite sides of the transverse. The value of x is 14.

When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.

As we can see in the centre where the triangle is formed, the measure of the different angles can be written as,

Vertically opposite Angles, [tex]\angle A = 53^o[/tex]

Alternate Interior Angles, [tex]\angle C = 57^o[/tex]

[tex]\angle B = 5x[/tex]

Now, the sum of all the angles of this triangle can be written as,

[tex]\angle A+\angle B+\angle C = 180^o\\\\53^o + 5x + 57^o = 180^o\\\\110^o + 5x = 180^o\\\\5x = 180^o-110^o\\\\5x = 70^o\\\\x = 14[/tex]

hence, the value of x is 14.

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Answer:

22

Step-by-step explanation:

R11 000 in a year.

Step-by-step explanation:

Therefore:

52 weeks - 2 weeks unpaid = 50 weeks

50 weeks × R220 = R11 000 in a year

Answer:114Step-

Step-by-step explanation:

Answer: x = 114Step-by-step explanation:Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees. Therefore, you can write this equation:m<A + m<B + m<C + m<D = 360 Step 1) plug in the degree measure of each angle that you know. (I will represent angle C with “x”)66 + m<B + x + 66 = 360(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)66 + x + x + 66 = 360(x + x is the same as 2x)66 + 2x + 66 = 360(66 + 66 = 132)132 + 2x = 360Step 2) solve for x by continuing with this equation: 132 + 2x = 360(Subtract 132 from both sides)2x = 228(Divide by 2 on both sides)x = 228/2(228/2 equals 114)x = 114Check:Add all four angle measures. It should add up to 360.66 + 114 + 114 + 66180 + 114 + 66294 + 66360Yay it worked! FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

Hope this helped!

Answer:

it would take 3/5 of an hour or 0.6 as a decimal

Step-by-step explanation:

3 3/4 divided by 2 1/4 is 3/5 or 0.6

The answer is C Trina is not correct because the two sides of the equation are equivalent