A small plot of land is shaped like the figure shown.
What is the area of the plot of land?
А)
(A
43 yd?
(В) 153 yd?
© 306 yd?
D 1,188 yd?

Hey there!

Solve the equation:

x = 1 ✅

x + 2 = 5x - 2

>> Add 2 to both sides

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

x + 4 = 5x

>> Substract x from each side

x + 4 - x = 5x - x

4 = 4x

4x = 4

>> Divide both sides by 4

4x/4 = 4/4

x = 1

More about equations :

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Have a good day ;)

Given :-

To find :-

solution:-

x + 2 = 5x -2

2+2 = 5x - x

4 = 4x

1 = x

Answer:

Hypotenuse = 45 inches

Step-by-step explanation:

Let the hypotenuse be known as "C".

Definition of hypotenuse:

The hypotenuse is the longest side in a right triangle.

Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.

Pythogoras theorem

[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].

We are given that:

When the meausures are substituted in the formula, we get;

Evaluate the squares on the right hand side:

Simplify the expression on the right hand side:

Take square root both sides of the equation:

Therefore, the measure of the hypotenuse is 45 inches.

Learn more about Pythogoras theorem: https://brainly.com/question/19859661

Answer:

12/30 or 6/15

Step-by-step explanation:

3x4=12

5x6=30

12/30

simplified would be 12/30 divided by 2/2

the answer is 6/15

Answer:

3x4=12 and 5x6=30

Step-by-step explanation:

This is because 5x5x5x5x5x5 6 times equal 30 and 3x3x3x3 4 times equals 12. Thank u for your time.

Answer:

117.5

Step-by-step explanation:

hope this helps! have a great day

The vertex form which is equivalent to the provided quadratic function of variable x is (x-1)²+3.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

The function given in the problem is,

[tex]f(x) = 4+x^2 - 2x\\f(x) = x^2 - 2x+4[/tex]

Add and subtract (-1)² in the above function,

[tex]f(x) = x^2 - 2x+4+(-1)^2-(-1)^2\\f(x) = x^2 - 2x+(-1)^2+4-1[/tex]

Use the formula of whole square,

[tex]f(x)=(x-1)^2+3[/tex]

This is the required vertex form.

Hence, the vertex form which is equivalent to the provided quadratic function is (x-1)²+3.

Learn more about the vertex form of the parabola here;

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Answer:

9:49 is the answer because question say ratio is square of small and big

We will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The given equation in the problem is;

Equation P: a + b = 6

Equation Q: 4a + 2b = 19

To cancel out the equation q from the equation p.In order to cancel, the term of we has to multiply the term -4 in the equation p.

Hence we will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.

To learn more about the system of two equations refer to the link;

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Answer:

[tex]4^3 =64\\\\(-3)^4 = 81[/tex]

Step-by-step explanation:

[tex]4^3 = 4\times 4 \times 4 = 64\\\\(-3)^4 = (-1)^4\cdot 3^4 = 81[/tex]

Answer:

the answer is b

Step-by-step explanation:

9/10 minus 3/5 is 0.3. 0.3 as a fraction is 3/10

Answer: the answer is b which is 3 over 10

Step-by-step explanation: as a decimal it us 0.3 which is the same as 3 over 10 . Hope it is correct . Please give brainliest .Thanks .

Answer:

[tex]y=\dfrac{3}{2}x+6[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

 [tex]y=mx+b[/tex]

where:

Given equation:

 [tex]3x-2y=-12[/tex]

To write the given equation in slope-intercept form, apply arithmetic operations to isolate the variable y.

Add 2y to both sides:

[tex]\implies 3x-2y+2y=-12+2y[/tex]

[tex]\implies 3x=2y-12[/tex]

Add 12 to both sides:

[tex]\implies 3x+12=2y-12+12[/tex]

[tex]\implies 3x+12=2y[/tex]

Switch sides:

[tex]\implies 2y=3x+12[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{3x+12}{2}[/tex]

[tex]\implies \dfrac{2y}{2}=\dfrac{3x}{2}+\dfrac{12}{2}[/tex]

[tex]\implies y=\dfrac{3}{2}x+6[/tex]

Therefore, the slope-intercept form of the given equation is:

[tex]y=\dfrac{3}{2}x+6[/tex]

where 3/2 is the slope, and 6 is the y-intercept

Learn more about Slope-intercept form here:

https://brainly.com/question/27926846

Slope intercept form y=mx+b

Let's find

Done!

area of semi circle= (1/2).π.r²

(1/2)×3.14×14×14

307.72 cm²

Answer: 296

Step-by-step explanation: explicit rule formula for an arithmetic sequence:

a_n = a_1 +(n-1)(d)

20-14= 6

d= 6

a_1 = 8

a_n = 8 + (n-1)(6)

= 8+6n-6

a_n= 6n+2

substitute to find answer:

a_49= 6(49) +2

= 294+2

=296

Answer:

We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.

We can multiply two algebraic terms to get a product, which is also an algebraic term.

Step-by-step explanation:

Answer:

Chris evans

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

149 Degrees

Step-by-step explanation:

The angle 31 is marked for you on the figure, there is also a secondary angle marked on the other line parallel to the first. Since they are marked the same, the value of both must be 31 degrees, you can also prove this in a longer method by calculating the exact angle measures of each line. Now we simply simplify our basic equation.

180-31=x

149=x

Answer:

[tex]r = 5.32\ feet[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

Formula to get the area of a circle → [tex]A=\pi r^2[/tex]

Insert 89 into the A and solve for r

[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]28.3296 = r^2[/tex]

[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]

[tex]r = 5.32[/tex]

Answer: [tex]r = 5.32\ feet[/tex]

Answer:

60°

Step-by-step explanation:

The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.

m<2 = 60°

Answer:

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

What is the Alternate Interior Angles Theorem?

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

Learn more about the alternate interior angle theorem on:

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Step-by-step explanation:

Answer:

A = 28 sq cm

Step-by-step explanation:

Area of a triangle:

A = 1/2• base•height

= 1/2•7•8

= 28 sq cm

Answer:

you got incorrect before Imao hm whats the question?

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

I use cross multiplication for this

4/5 = ?/100

so you would do (4*100)/5 to get the percent which would then be 80%

Answer:

5x^2 + 11x - 13 = A - B

Step-by-step explanation:

A - B = ?  Substitute 3x^2 + 5x - 6 for A and - (-2x^2 - 6x + 7) for -B:

3x^2 + 5x - 6 - (-2x^2 - 6x + 7). or

3x^2 + 5x - 6 + 2x^2 + 6x - 7, or (after combining like terms):

5x^2 + 11x - 13 = A - B

Answer:

the answer should be d

Step-by-step explanation:

you just have to multiply the per pound amount (1.29) by by the pound amount (5) and then you get your answer $6.45!

i hope this helps :)

Answer:

$2.05

6.15 divided by 3 is 2.05. To check, you multiply 2.05 x 3.

Answer:

log(b) x = y is the same and saying b^y = x

so 6^2.1 = x

x = 43.06

Step-by-step explanation:

Answer:

arc AM = 114°

Step-by-step explanation:

the measure of a tangent- chord angle is half the measure of its intercepted arc, that is

∠ MAC = [tex]\frac{1}{2}[/tex] (AM )

57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )

114° = AM

Using sampling concepts, it is found that the correct option is given by:

B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:b

Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.