The length and breadth of a rectangular field are in the ratio 5:4 if the perimeter is 90m find its area?

Answer:

$22.00

Step-by-step explanation:

19.95x8%=1.596

19.95+16=21.55

Step-by-step explanation:

xy = -40 and x + y = 18

=> x(18 - x) = -40

=> 18x - x² = -40

=> x² - 18x - 40 = 0

=> (x - 20)(x + 2) = 0

=> x = 20 or x = -2.

The two numbers 20 and -2.

Answer:

let the numbers be x and y

[tex]xy = - 40 - - - (i) \\ x + y = 18 - - - (ii) \\ from \: (ii) \\ x = 18 - y \\ substitute \: for \: x \: in \: (i) \\ (18 - y)y = - 40 \\ 18y - {y}^{2} = - 40 \\ {y}^{2} - 18y - 40 = 0 \\ use \: the \: quadratic \: equation \: to \: get \: y \\ and \: y \: will \: give \: u \: x[/tex]

x = 20

hence y = 18-20

y = -2

or

x = -2

hence y = 18-(-2)

y = 20

The numbers are -2 and 20

Answer:

75 + 17 = 92

Step-by-step explanation:

Answer:

Step-by-step explanation:

I’d vhvhvmvjvhkvhvkfygjghk

Answer:

x>3

Step-by-step explanation:

-5x+20<5 (move the constant to the right)

-5x<5-20 (calculate)

-5x<-15 (divide both sides)

solution: x>3

hope this helps!

9514 1404 393

Answer:

  about 3.25 feet

Step-by-step explanation:

The relevant trig relationship is ...

  Sin = Opposite/Hypotenuse

  sin(24°) = height/(8 ft)

  height = (8 ft)sin(24°) ≈ 3.254 ft

The slide is about 3.25 feet high.

Answer:

Step-by-step explanation:

The dimensions of the container:

The area of the container is:

Answer:

[tex]32\pi[/tex] meters

Step-by-step explanation:

The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, we are solving for [tex]C[/tex] and we know that [tex]r=16[/tex], so after substituting [tex]r=16[/tex] into [tex]C=2\pi r[/tex], we get:

[tex]C=2\pi r[/tex]

[tex]C=2\pi *16[/tex] (Substitute [tex]r=16[/tex] into [tex]C=2\pi r[/tex])

[tex]C=32\pi[/tex] (Simplify RHS)

Hope this helps!

We have,

Radius of the circle = 16 m

We know,

Circumference = 2πr

∴ Circumference = 2π × 16 m = (32π) m.

Answer:

ΔSVX ≅ ΔUTX                      Given

SV // TU                                 Given

SV ≅ TU                                Corresponding part of congruent triangle

VUTS parallelogram               Definition of parallelogram.

Step-by-step explanation:

The given figure VUTS is a parallelogram.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that,

SV ║TU

Also ΔSVX ≅ ΔUTX

Since both the triangles are congruent, corresponding sides are equal.

SV = UT

SX = UX

VX = TX

Consider two triangles ΔVUX and ΔSTX.

Already we have 2 corresponding sides of these triangles are equal from above.

So third side is also equal.

Since US is a transversal line that cuts the parallel lines VS and UT, ∠VUX = ∠TSX (alternate interior angles)

Similarly, VT is also a transversal line that cuts the parallel lines VS and UT,

∠UVX = ∠STX

So the two lines VU and ST are parallel.

Hence the figure is parallelogram since opposite sides are equal and parallel.

Learn more about Parallelogram here :

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Answer:

[tex]A.f(x) = x^{2} -2x - 15[/tex]

Step-by-step explanation:

Based on the given information, one can write the quadratic equation in factored form. Since the zeros of the equation are the roots, one can say that;

[tex]y = ( x + 3 )( x - 5)[/tex]

(where x = -3, and x = 5 are the roots)

Now all one has to do is distribute to find the quadratic equation in standard form;

[tex]y = (x + 3) (x - 5)\\y = x^{2} +3x - 5x - 15\\y = x^{2} -2x - 15[/tex]

Answer:

I think it's 3+(-4)

Hope this helps

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

Hope this helps i would give answer but i dont know what the answer is so sorry but hope this helps you.

Answer:

$20,000.00

Step-by-step explanation:

90% = 0.90

18000/0.90 = $20,000

CHECK

0.90 x $20,000 = $18,000

Complete question :

Christelle and Larkin both drive customers on the weekend. Christelle charges a flat fee of $4, plus $1 per mile. Larkin charges a flat fee of $2, plus $1.25 per mile.

Which equations represent each of their earnings, (y), after a given number of miles, (x)?

Select two that apply. Put more then one answer

y=4x+4

y=x+4

y=2x+1.25

y=1.25x+2

y=−x−4

y=1.25x−2

Answer:

y=x+4

y=1.25x + 2

Step-by-step explanation:

Christelle:

Flat fee = $4

Charge per mile = $1

Earning, y after x miles

y = 4 + x

Lakin:

Flat fee = $2

Charhe per mile = $1.25

EEarning, y after x miles

y = 2 + 1.25x

Answer:

left down

Step-by-step explanation:

do you want an explanation?

Answer:

2300 meters, 3000 yards, 3.2 kilometers, 2.5 miles is smallest distance to longest distance. so the furthest, to the closest would be:

2.5 miles, 3.2 kilometers, 3,000 yards, 2,300 yards

Step-by-step explanation:

I hope this helps :)

Answer:

23.3

Step-by-step explanation:

Answer:

$23.30

Step-by-step explanation:

Answer:

I think the answer is y = 3x + 12.

Step-by-step explanation:

y = 3 (x - 1) (x - 4)

y = 3x -3 (x - 4)

y = 3x + 12

Given :

Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .

To Find :

Can she arrive before 10:00 am.

Solution :

Time taken to cover 156 miles with speed of 60 miles per hour.

[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]

To arrive before 10:00 am she has only 2.5 left.

But time taken is 2.6 hours which is greater than 2.5 hours.

Therefore, Kim cannot arrive there before 10:00 am.

Answer:

10am

Step-by-step explanation:

Step-by-step explanation:

bicycle cost= 310

initial money in savings account= 50

additional money saved per week = 20

number of weeks = w

you have to set up an equation

The equation is...

bicycle cost = additional money saved × w + initial money

Substitute the values

310 = 20w + 50

Solve for w

310 - 50 = 20w +50 - 50

260 = 20w

260÷ 20 = 20w÷ 20

13 = w

It will take 13 weeks for her to have enough money for her bicycle

I hope this helps!!!

Answer:

a = -12

Step-by-step explanation:

For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.

The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).

The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)

Since the product of the slopes is -1, we can set up an equation now.

-1/3 * -a/4 = -1

a/12 = -1

a = -12

Answer:

98

Step-by-step explanation:

Given that:

Total number of tickets sold = 159

Ticket price for child admissions = 5.50

Ticket price for adult admissions = 9.80

Total money spent = 1136.80

To find:

The number of child admissions.

Solution:

Let number of child admissions = [tex]x[/tex]

Let number of adult admissions = [tex]y[/tex]

As per question statement:

[tex]x+y = 159[/tex] ...... (1)

and

Money spent for child admissions = 5.50[tex]x[/tex]

Money spent for adult admissions = 9.80[tex]y[/tex]

[tex]5.50x+9.80y = 1136.80[/tex] ...... (2)

Using equation (1):

[tex]y = 159-x[/tex]

Putting in equation (2) from above:

[tex]5.50x+9.80(159-x) = 1136.80\\\Rightarrow 5.50x+1558.2-9.8x=1136.80\\\Rightarrow 4.3x = 421.4\\\Rightarrow x = \bold{98}[/tex]

Therefore, total number of child admissions is 98.

Answer:

yes, the last one because 81 + 144 = 225

Step-by-step explanation:

Answer:

D. yes because 9^2 + 12^2 = 15^2.

Step-by-step explanation:

Got a 100% on meh test

9514 1404 393

Answer:

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = (1/2)bh

The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.

  A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area

__

The volume is the product of the base area and the height:

  V = Bh

  V = (21 ft²)(5 ft) = 105 ft³ . . . . volume

Answer:

exponents first then multiply and subtract after

Step-by-step explanation:

the answer is 5

Answer:

10 books per box

Step-by-step explanation:

40÷4

=10

10×4= 40

Answer:

a) when x = Raw Score: 42

Standard deviation = σ = -10.3

b) Raw Score: 81

Standard deviation = σ = 2.67

Step-by-step explanation:

Find the standard deviation if the mean of a sample is 72, a z-score of 3

Z score formula is given :

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean = 73

σ is the population standard deviation

z = 3

a) when x = Raw Score: 42

z = (x-μ)/σ

3 = 42 - 73/σ

Cross Multiply

3σ = 42 - 73

3σ = -31

σ = -31/3

σ = -10.3

b) Raw Score: 81

z = (x-μ)/σ

3 = 81 - 73/σ

Cross Multiply

3σ = 81 - 73

3σ = 8

σ = 8/3

σ = 2.67

Answer:

Yes, it can.

Step-by-step explanation:

Every time x increments by 1, y increments by 0.2.

The linear equation that satisfies the given data will be y = 0.2x + 1.2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The table is given below.

x              0                1                2               4

y             1.2              1.4            1.6              2

The line is passing through (0, 1.2). Then the value of 'c' will be

1.2 = m * 0 + c

c = 1.2

The line is also passing through (4, 2). Then the value of 'm' will be

2 = 4m + 1.2

m = 0.2

The linear equation that satisfies the given data will be y = 0.2x + 1.2.

More about the linear equation link is given below.

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Answer:

-6

Step-by-step explanation: