a football field is drawn to a scale of 1cm represents 5cm if the field is 70m by 50m find the length and breadth on the drawing​

[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]

[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]

Therefore, (1/7)³ = 1/343, implying that the answer is option (D).

Hope it helps. :)

Answer:

D, 1/343

Step-by-step explanation:

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

Answer: Smaller

Step-by-step explanation:

Multiplying a number by 1.25 increases it by a quarter

Multiplying a number by 0.75 decreases it by a quarter

1.25 / 0.75 = 0.9375

Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.

Answer:

Try that....

[tex]f(x) = \frac{1}{ {5}^{x} } [/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

LCM= 3300

HCF=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The common difference is 3.

nth term = -6+(n-1)3

-6+(n-1)3 = 162

(n-1)3 = 168

n-1 = 56

n = 57

162 is the 57th term.

S₅₇ = 57×(a_1+a_{57})/2

= 57×(-6+162)/2

= 57×156/2

= 57×78

= 57×(-6+162)/2

= 4446

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6

Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Answer:

[tex]22\ km[/tex]

Step-by-step explanation:

One is given the following information:

One is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:

[tex](Thursday)+(Friday) = Total\ distance[/tex]

Substitute,

[tex](Thursday)+(Friday) = Total\ distance[/tex]

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

Simplify,

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

[tex](10+1)+(10+1) = Total\ distance[/tex]

[tex](11)+(11)=Total\ distance[/tex]

[tex]11+11=Total\ distance[/tex]

[tex]22=Total\ distance[/tex]

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

Answer:

1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b

Step-by-step explanation:

1- π radians = 180°

so 3π/10=(3*180)/10=54°

2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:

x=arc length of HN

150/360=x/2πr

5/12=x/2*6π

5/12=x/12π

12*5π=12x

x=5π

3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:

a=area of the shaded region

30/360=a/πr^2

1/12=a/36π

36π=12a

a=3π

4- a slice of a 16 inch pizza has an area of 64π/8=8π

two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π

therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.

5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2

h=x-coordinate of the center point k= y-coordinate of the center r=radius

in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6

we plug in

(x – 11)^2+ (y – 6)^2=36

6- h=7 k=-6 so the center is (7,-6)

radius=5

8- center=(1,3) and radius=2

so the graph that corresponds to these values is b

Answer: 56

Step-by-step explanation: 7 * 2 * 4 = 56

Answer:

V = 56

Step-by-step explanation:

Rectangle prism Volume:

V = whl

Given:

w = 4

h = 2

l = 7

Work:

V = whl

V = (4)(2)(7)

V = 56

Answer:

Q= (5,4)

Step-by-step explanation:

The x value went up by 4 units and the y value up by 6 units from the first point to the midpoint. Since the midpoint is equal distance from both points, we know it will go up by the same amounts for Q.

so 1+4= 5

-2+6= 4

hope this helps chu <3

Answer:

The answer is D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Answer:6

Step-by-step explanation:

Answer: 28,665 currency units

Step-by-step explanation:

Find the value of the car after 4 years using the Future value formula:

= Amount * ( 1 + rate) ^ no. of years

= 33,750 * ( 1 + (-4%))⁴

= 33,750 * 0.84934656‬

= 28,665.45

= 28,665 currency units

Answer:

Step-by-step explanation:

(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)

=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)

=64x²-112xy+49y²+4x²-8xy+4y²

=68x²-120xy+53y²

Step-by-step explanation:

x = 15 as sum of exterior angles is 360⁰

pur value of x and get each answer

I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

Answer:

dvdvsdv

Step-by-step explanation:

dsvfvdfvdv