If 9% of a number equals 12, find 18% of that number.

Answer:

what question

Step-by-step explanation:

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

for more such questions on quadrilateral

https://brainly.com/question/27991573

#SPJ8

Answer:

(B) 0.9688

Step-by-step explanation:

mark me brainliest!!

By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

Answer:

20months

Step-by-step explanation:

$580/ $29 = 20months

Answer:

4*x^2+5x

Explanation:

The odds against the paper having the letter C written on it is 10 : 11

From the question, we have the following parameters that can be used in our computation:

MATHEMATICS

In the above word, we have

Letter C = 1

letters = 11

So, the probability of C is

Probability = 1/11

When converted to odds we have

Odds = Letter - Letter C : Letters

Substitute the known values in the above equation, so, we have the following representation

Odds = 11 - 1 : 11

Evaluate

Odds = 10 : 11

Hence, the odds is 10 : 11

Read more about probability

https://brainly.com/question/24756209

#SPJ1

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

\(Y =x^2-23x^2 + 18x+40\)

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

\(x^2-23x^2 + 18x+40 = 0\)

Then after solving it become

\(-22x^2 + 18x+40 = 0\)

Then take negative sign common from it then

\(22x^2 - 18x - 40 = 0\)

Make the factors of this quadratic equation

\(22x^2 + 22x -40x - 40 = 0\)

Now take common values 22x and 40 from the equation then

\(22x (x + 1) -40 (x + 1) = 0\)

Then it become

\((22x - 40) (x + 1) = 0\)

Then the values of x become from the equation is

\(x = -1, x= 40/22\)

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

Learn more about Quadratic equation here

https://brainly.com/question/24334139

#SPJ1

Answer:

\(35degrees\)

Answer:

The answer is 24.4

Step-by-step explanation:

If you add 15.45, 5.00 and 3.95 you get 24.4

Answer:

I think it's 6.50

Step-by-step explanation:    15.45-5.00=10.45-3.95=6.50

Answer:

Factored form: (5x + 3)(x - 5) = 0

Solution: x = -3/5  or x = 5

Step-by-step explanation:

5x² = 22x + 15

5x² - 22x - 15 = 0

(5x + 3)(x - 5) = 0

5x + 3 = 0  or  x - 5 = 0

5x = -3  or  x = 5

x = -3/5  or x = 5

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

Rita would need to rent at least 37 movies in a year for Option B to be cheaper than Option A.

To determine the number of movies Rita would need to rent for Option B to be cheaper than Option A, we can set up an equation and solve for the unknown variable.

Let's assume Rita rents "x" number of movies in a year.

For Option A:

Yearly fee = $40

Cost per movie rental = $3

Total cost for Option A = Yearly fee + (Cost per movie rental * Number of movie rentals)

Total cost for Option A = $40 + ($3 * x) = $40 + $3x

For Option B:

Yearly fee = $150

Cost per movie rental = $0 (unlimited movie rentals)

Total cost for Option B = Yearly fee + (Cost per movie rental * Number of movie rentals)

Total cost for Option B = $150 + ($0 * x) = $150

We want to find the number of movies (x) at which Option B becomes cheaper than Option A. So we can set up the inequality:

$150 < $40 + $3x

Now, we can solve the inequality:

$150 - $40 < $3x

$110 < $3x

Dividing both sides of the inequality by $3:

($110 / $3) < ($3x / $3)

Approximately 36.67 < x

Since the number of movies must be a whole number, we round up to the nearest whole number:

x ≥ 37

Therefore, Rita would need to rent at least 37 movies in a year for Option B to be cheaper than Option A.

for such more question on number

https://brainly.com/question/859564

#SPJ8

Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

Answer:

look up

Step-by-step explanation:

The value of the algebraic expression is ab+bc+ca.

An algebraic equation is a mathematical statement that contains two equated algebraic expressions formulated by applying algebraic operations such as addition, subtraction, multiplication, division, raising to a power, and extraction of a root to a set of variables

The equation A^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca

(a-b, a-c, b-c, b-a, c-a, c-b).

Simplifying each fraction, we get

(a^3b + a^3c)/(a^2 - ab - ac + b^2 - bc + c^2) + (b^3c + b^3a)/(b^2 - bc - ba + c^2 - ac + a^2) + (a^4 + a^3b)/(c^2 - ac - ab + b^2 - bc + a^2).

(a-b)(a-c), (b-c)(b-a), and (c-a)(c-b),

ab+bc+ca.

Therefore, the equation A^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca

Learn more about algebraic equations on https://brainly.com/question/29131718

#SPJ1

C

Step-by-step explanation:

You do 5 - 2 = 3 and -y = -x so the answer would be C.

172273-3-$=$==8399993939384888884-%"%/=%=%8%

Step-by-step explanation:

(x^2-3/4x+y^2)=(x-y)2

(x-3/4*1/2)2

(x-3/8)(x-3/8)

(x^2-3x/8-3x/8+9/64)

(x^2-6x/8+9/64)

(x-3/8)2

Answer:

43.6 has 3 significant figures.

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Hello there. To solve this question, we have to remember some properties about exponential growth functions.

Given that the bacteria growing on the water's surface in a non-operational swimming pool from September 20 covers it entirely on September 28, we want to determine when will a quarter of the water's surface be covered.

For this, set the following function that gives you the water surface area covered by the bacteria:

Whereas A0 is the initial area that, for calculation purposes, we consider it as the unit of area, hence A0 = 1 m².

And we know the total area of the pool is given by

Now, we need to determine when a quarter of the pool will be covered in bacteria.

In this case, we want that

In this case, we get that

Hence we add it to the initial time observation in days:

The answer to this question is:

The water's surface will be covered a quarter of the way on September 26

The given system of equations (x + 8y³ = 81 and x⁴ - 7y = 32) are non linear.

The type of equations  is given is determined as follows;

The given system of equations include;

x + 8y³ = 81

x⁴ - 7y = 32

A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.

A linear equation has a maximum exponent of 1.

In the first equation, the exponent of y is 3 which is greater than, so it si non linear

In the second equation, the exponent of x is 4 which is greater than, so it is non linear.

Learn more about linear and non linear equations here: https://brainly.com/question/30339765

#SPJ1

(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

Learn more on distance between two points here: https://brainly.com/question/7243416

#SPJ1

Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Answer:

θ= 150°

Step-by-step explanation:

Look at the picture below

If Mohal bought 20 chicken wings for $50.00 as a result of spending $30.00 he gets 12 chicken wings.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that Mohal bought 20 chicken wings for $50.00 and spend $30.0.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The price of one chicken wing is,

= $ 50 / 20

= $ 2.50

The number of chicken wings he can buy after spending $30.00,

= $30.00 / = $ 2.50

=12

Thus, Mohal bought 20 chicken wings for $50.00 as a result of spending $30.00 he gets 12 chicken wings.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

a). The formula for g, which determines x's half, is g(x) = 1/2 x

b). f(x) = x + 2

c). (fog)(x) = 1/2 x + 2

d). (fog) (52) = 28

The relationship between two sets of data, known as the input and output, is described mathematically by a concept known as a function.

An operation is applied to an input value by a function, which then produces an output value that matches the input value.

a). The formula for g, which determines x's half, is g(x) = 1/2 x

b). The formula for adding 2 to x is: f(x) = x + 2

c). Plugging g(x) into f(x) yields the function (fog)(x), which is as follows:

(fog)(x) = f(g(x))

f(1/2 x) = 1/2 x + 2

d). We must evaluate (fog)(52) to obtain the sale price of a shirt with an original cost of $52 as follows:

= (fog) (52) = 1/2(52) + 2

= 26 + 2

= 28

Thus, the shirt's ultimate retail price is $28.

To know more about function, visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Answer:

1. e its given

2. d

3. b

4. c

5. a

this all are proved by the theorem