Write an equation that shows the relationship 30% of 140 is x.

0.3 what is the answer here 140= x

A+
BX
C-
D/

student 3 i thin srry if im wrong

Answer:

student 3

Step-by-step explanation:

The area of a shape is the amount of space it occupies.

The dimensions to build the largest possible athletic complex is 100 by 50 feet

Assume the length of the fence is y.

So, we have:

\(\mathbf{Area = xy}\)

\(\mathbf{Perimeter = 2y + 4x}\)

Substitute 400 for perimeter

\(\mathbf{2y + 4x = 400}\)

Divide through by 2

\(\mathbf{y + 2x = 200}\)

Make y the subject

\(\mathbf{y = 200 -2x}\)

Substitute \(\mathbf{y = 200 -2x}\) in \(\mathbf{Area = xy}\)

\(\mathbf{Area =x(200 - 2x)}\)

\(\mathbf{Area =200x - 2x^2}\)

Differentiate

\(\mathbf{A' =200 - 4x}\)

Set to 0

\(\mathbf{200 - 4x = 0}\)

Collect like terms

\(\mathbf{4x = 200}\)

Divide both sides by 4

\(\mathbf{x = 50}\)

Recall that: \(\mathbf{y = 200 -2x}\)

So, we have:

\(\mathbf{y = 200 - 2 \times 50}\)

\(\mathbf{y = 200 - 100}\)

\(\mathbf{y = 100}\)

Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet

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The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer: Each of the 2 geometric figures only has one measurement, and that is what must remain the same when the figure is copied

Step-by-step explanation:

I have never seen this question before, but here is how I would answer it.

They are similar in that each of the 2 geometric figures only has one measurement, and that is what must remain the same when the figure is copied.

Specifically -

A line segment has only one measurement - its length - and that must be duplicated in the copy.

An angle has only one measurement - the span of the angle - and that must be duplicated in the copy. It doesn't matter which unit of measure (degrees or radians), nor does it matter whether you measure the angle the 'short way around' or the 'long way around', the answer remains the same - the one measurement must be duplicated to make a copy.

I hope this is the answer they are looking for.

Answer:

x=-2

Step-by-step explanation:

\(125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2\)

Answer:

Step-by-step explanation:

3m + 7 = - 23

we pass the -7 to the right with a positive sign

3m = -23 - 7

we perform the sum of negative numbers

3m = -30

we pass the -3 to the right to divide

m = -30/3

we perform the division

m = -10

The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches

The given parameters are

Average annual rainfall = 51 inches

Last year = 29 inches

The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is calculated as

Change = |Annual rainfall - Last year|

This gives

Change = |51 - 29|

Evaluate

Change = 22

Hence, the change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches

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Answer:

Area=2044..... perimeter=221

Step-by-step explanation:

Step1:- Area =1/2×breath×height

1/2×73×56

1/2×4088

= 2044

Area =2044cm^2

Step2:- Perimeter= a+b+c

=73+56+92

=221

Perimeter=221cm

We have the following, L, of the beam varies as the product of the width and the square of the height:

And varies inversely as the lenght of the wooden beam:

therefore:

where k is the proportionality constant

w = 4, h=8, l = 216 and L = 5050

now, if w = 2, h = 5, l = 144:

Using the circles:

A circle with a radius of 8 inches has an area and circumference given by:

A = πr² = π(8²) ≈ 201.06 square inches

C = 2πr = 2π(8) ≈ 50.27 inches

Rounding to the nearest hundredth:

A ≈ 201.06 square inches

C ≈ 50.27 inches

Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.

A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:

A = πr² = π(10²) ≈ 314.16 square meters

C = 2πr = 2π(10) ≈ 62.83 meters

Rounding to the nearest hundredth:

A ≈ 314.16 square meters

C ≈ 62.83 meters

Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.

Using these relationships, find the measures of some of the angles:

a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.

b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.

c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.

d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.

e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:

mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)

63° + 90° + mPLJ + mJLP = 360°

mPLJ + mJLP = 207°

f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:

mJLR + mJLP + mKPL = 180° (by the angles in a triangle)

mJLR + mJLP + 90° = 180°

mJLR + mJLP = 90°

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Image transcribed:

Use the circle below for questions 1-7.

1. Name a radius.

2. Name a diameter.

1.

2.

3.

R

3. Name a chord that is not a diameter.

P

4. Name a central angle.

4.

S

5. Name a minor arc.

5.

6. Name a major arc.

7.

7. Name a semicircle.

For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.

8.

A =

C=

9.

A =

20 m

8 in

C=

10. If m∠MPL = 63°, find each measure.

K

a) mR= =

= m KNM d) 이이

=

b) - =

c) L

=

f) mJLR =

N

M

Gina Wilson (All Things Algebra, LLC), 201

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of the transformed function is y = -f(x + 6)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x

On simplifying , we get

Reflecting over the x-axis: To reflect a function over the x-axis, we multiply the function by -1. This changes the sign of the y-coordinate of each point on the graph of the function. So, the function after reflection over the x-axis would be y = -f(x).

Translating 6 units left: To translate a function 6 units to the left, we replace x with (x + 6). This shifts the graph of the function horizontally to the left by 6 units. So, the function after translation 6 units left would be y = -f(x + 6)

Hence , the function is y = -f(x + 6)

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The given simplification is not correct. This one is:

\(\displaystyle \frac25 (x + 3) x^{5/2} - 2 (x+3) x^{3/2} = \frac25 (x+3) x^{3/2} \bigg(x^{2/2} - 5\bigg) = \frac25 (x+3) x^{3/2} (x - 5)\)

which is just a matter of recognizing \(2(x+3)x^{3/2}\) as a common factor to both expressions in the sum.

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

The equation of the line tangent to the parabola at x = 4 is y = 13 · x - 27. The tangent line has a slope of 13 and a intercept of - 27.

Parabolae are defined by quadratic equations, that is, equations whose form is y = a · x² + b · x + c. The slope of a line tangent to a point of the curve is defined by a linear equation, that is, an equation of the form y = m · x + b. By derivative rules, the slope of the tangent line can be found by using the following expression:

m = 2 · a · x + b

Then, if we know that y = 2 · x² - 3 · x + 5 and x = 4, then the equation of the tangent line is:

Slope

m = 4 · x - 3

m = 4 · 4 - 3

m = 13

Intercept

b = y - m · x

y = 2 · 4² - 3 · 4 + 5

y = 32 - 12 + 5

y = 25

b = 25 - 13 · 4

b = 25 - 52

b = - 27

The equation of the line tangent to the parabola at x = 4 is y = 13 · x - 27. The tangent line has a slope of 13 and a intercept of - 27.

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Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

Step-by-step explanation:

310 is the answer.

Value of base and hypotenuse of triangle are 9√3 and 18 respectively.

A right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem,  that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Height of triangle=9

Base of triangle=y

Hypotenuse of triangle=x

Using trigonometric ratio

Sin30°=Height/Hypotenuse

½=9/x

x=18

Cos30°=Base/hypotenuse

√3/2=y/18

y=9√3

Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.

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Answer: 6, 6 feet

Step-by-step explanation:

The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.

What is the unitary method?

The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.

We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.

So, number of cups that will make 5 gallon is 16 * 5 = 80 cups

Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.

Hence, the cooks cannot make a dozen pizzas without refilling the canister.

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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y=mx+b

y-y1=m(x-x1)

Ax+By= C