A square and a rectangle have the same area. If the dimensions of the rectangle are 4 ft by 16 ft, how long is a side of the square?

Step-by-step explanation:

Let adults = a and children = c,

(1) a + c = 1100

(2) 48a + 23c = 45300

From the (1) equation, a = 1100 - c

Then substitute a = 1100 - c into (2),

48(1100 - c) + 23c = 45300

52800 - 48c +23c = 45300

-25c = -7500

c = 300

Substitute c = 1500 into a = 1100 - c,

a = 1100 - 300

a = 800

Therefore, 800 adults and 300 children bought the tickets

Answer:

16,20,28

Step-by-step explanation:

64 /(4+5+7)

64/16= 4

sides of triangle=4×4 :5×4: 7×4

                         =16:20:28

Answer:

7 Vertices

Step-by-step explanation:

Vertices means the sharp "points" of a shape.

I believe you were mistaken vertices with area

Answer:

655.35

Step-by-step explanation:

got it right on edmentum

Answer:

Step-by-step explanation:

slope of line perpendicular to y=mx+c is -1/m

so here reqd. slope=-1/4

Answer:

4000 because a cow is 4000 and he gave 40000

cause he used it for sinething

Answer:

35.991

Step-by-step explanation:

..... Here

This is the answer

Answer:

f(x) + f(4)

Step-by-step explanation:

TRUST ME DO THIS PROCESS

Answer:

2.2 x 100 = 220%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 2.2 × 100 = 220% (answer). ➥ The ease way: 1) Move the decimal point two places to the right: 2.2 → 22 → 220.

I hope this will help you

1/10 to get your answer

10÷100=

0.1=1/10

Answer:

Hello,

Step-by-step explanation:

a)

[tex]z=8x^2-4xy+5y^2\\\\\dfrac{\partial z}{\partial x} =16x^2-4y\\\\\dfrac{\partial z}{\partial y} =-4x+10y\\[/tex]

b)

[tex]z=5xe^{y}\\\\\dfrac{\partial z}{\partial x} =5e^y\\\\\dfrac{\partial z}{\partial y} =5xe^y\\[/tex]

c)

[tex]z=3xln(y)\\\\\dfrac{\partial z}{\partial x} =3ln(y)\\\\\dfrac{\partial z}{\partial y} =\dfrac{3x}{y}\\[/tex]

Answer:

4

Step-by-step explanation:

Answer:

#6 is D

#7 is A

Step-by-step explanation:

#6

-1/3(6x+15)-3

Distribute the -1/3

-1/3 times 6x is -2x

-1/3 times 15 is -5

-2x-5-3

-2x=8

#7

-12z-5z=85

COmbine like terms

-17z=85

Divide both sides by -17

z=-5

Answer:

SU = 1

Step-by-step explanation:

First because all sides are equal set the two sides equal to each and solve for x

2x + 5 = 5x + 2

Isolate the x-terms

2x + 5 - 2 - 2x = 5x + 2 - 2 - 2x

5 - 2 = 5x - 2x

3 = 3x

Divide both sides by 3

x = 1

Answer:

it’s 7

Step-by-step explanation:

Answer:

Hello,

Very bad written!!!

Step-by-step explanation:

[tex]e^{1-3x}=e^{4x-3}\\\\1-3x=4x-3\\\\7x=4\\\\\boxed{x=\dfrac{4}{7} }\\[/tex]

An algebraic expression that represents the perimeter of the table is,

⇒  Perimeter = 8w - 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The width of the dining room table is w feet,

And, the length is 3w - 2 feet,

Now, We know that;

Perimeter of rectangle = 2 (length + Width)

Hence, An algebraic expression that represents the perimeter of the table is,

⇒ Perimeter = 2 (3w - 2 + w)

⇒ Perimeter = 2 (4w - 2)

⇒ Perimeter = 8w - 4

Thus, An algebraic expression that represents the perimeter of the table is,

⇒  Perimeter = 8w - 4

Learn more about the mathematical expression visit:

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#SPJ7

Step-by-step explanation:

G=2m

m+G=30

m +2m =30

3m=30

m=10

36 is a whole number.

Answer:

The number 3.6 is a rational number.

All numbers that can be represented as fractions made of two integers (whole numbers) are considered to be

Answer:

l=28m

w Width

22

m

A Area

616

m²

Using the formula

A=wl

Solving forl

l=A

w=616

22=28m

hope this will help you

make me brainliest

Answer:

Solve for length

l=28m

W= Width

22

m

A= Area

616

m²

Using the formula

A=wl

Solving formula

l=A

W=616

22=28m

Hence the area of the second rhombus is 45 square meters

The area of a rhombus is expressed as

A = base * height

For the rhombus with an area of 5 square meters and a side length of 3 meters

Height = Area/length

Height = 5/3 metres

Since the length of a similar rhombus is 9meters, the scale factor will be expressed as;

k = ratio of the lengths = 9/3

k = 3

Height of the second rhombus = 3 * height of the first rhombus

Height of the second rhombus = 3 * 5/3

Height of the second rhombus = 5 meters

Area of the second rhombus = length * height

Area of the second rhombus = 5 * 9

Area of the second rhombus = 45 square meters

Hence the area of the second rhombus is 45 square meters

Learn more here: brainly.com/question/20247331

The correct option is option B;

(B) 45 square meters

The known parameters in the question are;

The area of the rhombus, A₁ = 5 m²

The length of one of the sides of the rhombus, a = 3 m

The length of a side in a similar rhombus, b = 9 m

The unknown parameter;

The area of the second rhombus

Strategy or method;

We have that two shapes are similar if their corresponding sides are proportional

From the above statement we get that the ratio of the areas of the two shapes is equal to the square of the ratio of the lengths of the corresponding sides of the two shapes of follows;

[tex]\begin{array}{ccc}Length \ Ratio&&Area \ Ratio\\\dfrac{a}{b} &&\left (\dfrac{a}{b} \right)^2 \\&&\end{array}[/tex]

Let the area of the second rhombus be A₂, we get;

[tex]Area \ ratio = \dfrac{A_1}{A_2} = \left( \dfrac{a}{b} \right)^2[/tex]

Where;

a = 3 m, b = 9 m, and A₁ = 5 m², we get;

[tex]Area \ ratio = \dfrac{5 \ m^2}{A_2} = \left( \dfrac{3 \, m}{9 \, m} \right)^2 = \dfrac{1}{9}[/tex]

Therefore;

9 × 5 m² = A₂ × 1

A₂ = 45 m²

The area of the second rhombus, A₂ = 5 m².

Learn more about scale factors here;

https://brainly.com/question/20247331

Answer:

D. 130

Step-by-step explanation:

The lines are tangent to the circle therefore 90º which makes 65º + 25º.  The small triangle with C is iso so the angle of C would be 130 and equivalent to x

Answer:

[tex]D.\ \ 130[/tex]

Step-by-step explanation:

1. Approach

Refer to the attached diagram of the figure for further explanation. In this problem, one is asked to solve for the degree measure of arc (x). The easiest method to do so is to use the triangle (CAB). One can solve for the measure of angle (<CBA) by using the tangent to radius theorem. Then one can solve for the measure of angle (CAB) by using the base angles theorem. Then one can use the sum of angles in a triangle theorem to solve for angle (<BCA). Finally, one can use the central angles theorem to solve for the arc (x).

2. Find the measure of angles in the triangle

A. Find the measure of angle (<CBE)

As per the given image, lines (BE) and (AE) are tangent. This means that they intersect the circle at exactly one point. A radius is the distance from the center of a circle to the circumference or outer edge of a circle. All radii in a single circle are congruent. The radius of tangent theorem states that, when a tangent intersects a circle at a point of tangency, and a radius also intersects the point of tangency, the angle between the radius and the tangent is a right angle. One can apply this here by stating the following:

[tex]m<CBE = 90[/tex]

Express angle (<CBE) as the sum of two other angles:

[tex]m<CBE = m<CBA + m<ABE[/tex]

Substitute with the given and found information:

[tex]m<CBE = m<CBA + m<ABE[/tex]

[tex]90 = m<CBA + 65[/tex]

Inverse operations,

[tex]90 = m<CBA + 65[/tex]

[tex]25= m<CBA[/tex]

B. FInd the measure of angle (<CAB)

As stated above all radii in a single circle are congruent. This means that lines (CB) and (CA) are equal. Therefore, the triangle (CAB) is an isosceles triangle. One property of an isosceles triangle is the base angles theorem, this theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. Applying this theorem to the given problem, one can state the following:

[tex]m<CBA = m<CAB = 25[/tex]

C. Find the measure of angle (<ACB)

The sum of angles in any triangle is (180) degrees. One can apply this theorem here to the given triangle by adding up all of the angles and setting the result equal to (180) degrees. This is shown in the following equation:

[tex]m<CAB + m<CBA + m<ACB = 180[/tex]

Substitute,

[tex]m<CAB + m<CBA + m<ACB = 180[/tex]

[tex]25 + 25 + m<ACB = 180[/tex]

Simplify,

[tex]25 + 25 + m<ACB = 180[/tex]

[tex]50 + m<ACB = 180[/tex]

Inverse operations,

[tex]50 + m<ACB = 180[/tex]

[tex]m<ACB = 130[/tex]

3. Find the measure of arc (x)

The central angles theorem states that when an angle has its vertex on the center of the circle, its angle measure is equivalent to the measure of the surrounding arc. Thus, one apply this theorem here by stating the following:

[tex]m<ACB = (x)\\130 = x[/tex]

Answer:

1/10

Step-by-step explanation:

1/5*1/2

1/10

Answer:

122 or (3x-4).

Step-by-step explanation:

First, let's take a look at the polygon

The polygon has 5 sides.

We can calculate it's sum of interior angles by using (n-2)*180

Here, number of sides(n)=5

Therefore, (n-2)*180=(5-2)*180=3*180=540

Now that we got that out of the way, let's solve for x

2x+9+3x-8+3x-4+3x-10+2x+7=540

or,13x-6=540

or,13x=546

or,x=42

Now, solve for each interior angle,

2x+9=93

3x-8=118

3x-4=122

3x-10=116

2x+7=91

The largest here s 122 which is 3x-4.

SO, the largest interior angle=122 or (3x-4).

Answer:

3250 pencils sold

Step-by-step explanation:

Let x represent the number of pencils.

The profit from the pencils sold can be represented by 0.55x, and the cost from making the pencils can be represented by 1300 + 0.15x.

Set these two terms equal to each other, and solve for x:

0.55x = 1300 + 0.15x

0.4x = 1300

x = 3250

So, the break even point is at 3250 pencils sold.

Answer:

6*8=48km....10*6=60...6*8=48....6*6=36 total =192km

Answer:

s=(2BaseArea) +(Base perimeter/hight

4 Gallon is 20 Quarts

6 pints is 3 Quarts

Total = 20+3

=23 Quarts

Therefore 4 Gallons and 6 pints are 23 Quarts

Must click thanks and mark brainliest