7) 28 is 35% of what number?​

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

y + 4 = 3y

y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

Read more on perimeter of a rectangle here: brainly.com/question/26787666

#SPJ1

The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

Learn more about sales tax;

https://brainly.com/question/29442509

#SPJ1

The original figure and Picture B are similar, with a scale factor of 1.5.

Two figures are classified as similar if the side lengths of each figure is proportional.

Then the constant of proportionality representing the ratio between the side lengths is the scale factor.

The ratios of the Picture A and the original figure are given as follows:

As the ratios are different, picture A and the original figure are not similar.

The ratios of the Picture B and the original figure are given as follows:

Hence they are similar with a scale factor of 1.5.

More can be learned about similar figures at brainly.com/question/14285697

#SPJ1

The rate of flow in pints per day is,

⇒ 0.3 pints per day

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Water flows through a pipe at a rate of 88 cubic feet per year.

We know that;

1 year = 365 days

Here, Water flows through a pipe at a rate of 88 cubic feet per year.

Hence, The rate of flow in pints per day is,

⇒ 88 / 365

⇒ 0.3 pints per day

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Consider that there was a los of 4 yards and 10 yards respectively. Morevoer, there was a won of 12 yards.

If yards lost are considered as negative numbers and won yards as positive, you can write the previous situation as follow:

-4 - 10 + 12 add negative numbers

= -14 + 12 subtract and put the sign of the reater coefficient

= -2

It means that quarter hack lost 2 yards

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

Answer:

2x > x

21x < 80

Step-by-step explanation:

Answer:

Y=-4x 2

Step-by-step explanation:

Answer:

The number can have no more than 5 digits

Step-by-step explanation:

The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.

A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:

Perimeter of a rectangle = 2(length + width).

Given the following:

Therefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:

Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)

Combine like terms

Perimeter of rectangle = 2(7.3q - 6.7)

Perimeter of rectangle = 14.6q - 13.4

Learn more about the perimeter of rectangle on:

https://brainly.com/question/24571594

#SPJ1

The required distance from the corner to each end of the bracket is 5.7 inches.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Since the distance from the corner to each end is equal.

So ABC make an isosceles right triangle, where

AB = x inches

AC = x inches

BC = 8 inches

According to the Pythagoras theorem, we have

AB² + AC² = BC²

x² + x² = 8²

2x² = 64

x² = 64/2

x² = 32

x = √32

x = 5.668

Round to the nearest tenth, and we get

x = 5.7

Thus, the distance from the corner to each end is 5.7 inches.

Learn more about Pythagoras's theorem here:

https://brainly.com/question/29061674

#SPJ9

Answer:

adjacent / hypotenuse cos x° = g divided by h is right

Step-by-step explanation:

If   \(tanx^{o} = \frac{6}{g}\) and \(sinx^{o} = \frac{6}{h}\)  then  \(cosx^{o} = \frac{g}{h}\) .

By right angled triangle we have,

  Trigonometric ratios as

 Given  \(sinx^{o} = \frac{6}{h}\)  and \(tanx^{o} = \frac{6}{g}\)

              opposite = 6, hypotenuse = h, adjacent = g

                  \(cosx^{o}\) = \(\frac{adjacent}{hypotenuse}\)  \(=\frac{g}{h}\)

Learn more about Trigonometry :

https://brainly.com/question/13882775?referrer=searchResults

#SPJ2

Answer:

Try D if it's wrong i'm sorry

Step-by-step explanation:

Answer:

D. 4

Step-by-step explanation:

The 55 degree angle can be either a base angle or the apex angle.

The 6 inch length can be either the length of the base or the length of each leg.

There are therefore 4 possible triangles:

1. 55 degree base angle and 6 inch leg length

2. 55 degree base angle and 6 inch base length

3. 55 degree apex angle and 6 inch leg length

4. 55 degree base angle and 6 inch base length

(2 with only 1 angle of 55 degrees (1 with the equal sides of 6 inches each, 1 with the unequal side of 6 inches)

2 with 2 angles of 55 degrees (1 with the equal sides of 6 inches each, 1 with the unequal side of 6 inches).)

Answer:

-8

Step-by-step explanation:

Plz give brainliest

i dont have any

Answer:

Price per ticket to maximize revenue = $337.8

Total number of people at that price = 74000 people

Step-by-step explanation:

Let x represent the number of people as a result of decrease of 53 to the ticket price. Therefore, the price of a single ticket is;

M(x) = 518 - 53x

Similarly, we can say number of visitors of the game is;

T(x) = 40000 + 10000x

We are told that every person at a game spends an average of 54.50 on concessions. Therefore,

Total revenue will be;

R(x) = (M(x) × T(x)) + 54.5(T(x))

R(x) = ((518 - 53x) × (40000 + 10000x)) + 54.5(40000 + 10000x)

R(x) = (20720000 - 2120000x + 5180000x - 530000x²) + 2180000 + 545000x

R(x) = 20720000 + 3060000x - 530000x² + 2180000 + 545000x

R(x) = -530000x² + 3605000x + 22900000

To find the value of x for which the price is maximum, let's find the derivative of R(x) and equate to zero

dR/dx = -1060000x + 3605000

At dR/dx = 0,we have;

-1060000x + 3605000 = 0

1060000x = 3605000

x = 3605000/1060000

x = $3.4

Therefore price per ticket for the revenue to be maximum is;

M(3.4) = 518 - 53(3.4) = $337.8

Total attendance at that price will be;

T(3.4) = 40000 + 10000(3.4)

T(3.4) = 40000 + 34000

T(3.4) = 74000

Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Answer:

MP = 19

Step-by-step explanation:

17+3y=5y+9

or, 17-9 = 5y-3y

or, 8=2y

so, y = 2

Now,

MP = 5y+9

or, MP = 5×2+9

or, MP = 10+9

so, MP = 19

Answer:

The Given angle is -230° i.e negative 230°

Therefore lies in the second quadrant which is between -180° to -270°

Step-by-step explanation:

For angle to move in ANTICLOCK WISE ( positive angles):

In anticlockwise the terminal side of the angle is moving from first quadrant to second quadrant then to third quadrant then to fourth quadrant and so on.

Quadrant I = 0 to 90°

Quadrant II = 90° to 180°

Quadrant III = 180° to 270°

Quadrant IV = 270° to 360°

For angle to move in CLOCK WISE ( negative angles):

Here, the negative sign tells us we're moving in a clockwise direction, so from the positive x-axis, down into fourth quadrant then to third quadrant then to second quadrant then to first quadrant and so on.

Quadrant IV =  0 to -90°

Quadrant III = -90° to -180°

Quadrant II  = -180° to -270°

Quadrant I   = -270° to -360°

The Given angle is -230° i.e negative 230°

Therefore lies in second quadrant which is between -180° to -270°

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

To learn more about Simple interest , visit the link:

https://brainly.com/question/25793394

#SPJ1

Answer:

-15 ,-22,-29 ,-36 ,-43

Step-by-step explanation:

Answer:

C(1)=13

c(n)=c(n-1)+-7

Step-by-step explanation:

To find what C(1) equals look at the first number in the sequence in this case the sequence starts at 13 that's what C(1) equals

13,6,-1,-8  

To find what c(n) equals you check what the common difference is in this case they are adding -7 or subtracting 7 each time.

13-7=6  

6-7= -1

-1-7=-8            

Then you plug the common difference into the last part it, C(n)=c(n-1)+-7        

Step-by-step explanation:

Answer: the only function I see is 6

Step-by-step explanation:

Percentages can be expressed as decimals. Percentage of something can be found by multiplying the number by the decimal.

20% = 0.20

20%(18.5)
0.20(18.5)
3.7

Since this is a 20% increase, we will add this to the original value.

18.5 + 3.7 = 22.2