Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

[tex]\theta = x[/tex]

[tex]Hypotenuse = 58[/tex]

[tex]Opposite = 32[/tex]

To determine the measure of angle x, we simply make use of the following sine ratio.

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(x) = \frac{32}{58}[/tex]

[tex]\sin(x) = 0.5517[/tex]

Take arc sine of both sides

[tex]x = \sin^{-1}(0.5517)[/tex]

This gives

[tex]x = 33.5[/tex]

Hence, the approximated value of x is 33.5 degrees

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Answer:

[tex]{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

Answer:

B 71 & 71

Step-by-step explanation:

OP is an angle bisector

Answer:

B

Step-by-step explanation:

Since angles MOP and NOP are both labeled as 2x+1, they must both be equivalent. The only answer choice which shows them to be equivalent is B.

Verification:

(2x+1)+(2x+1)=142

4x=140

x=35

(substitution)

2(35)+1 = 71

Answer:lol

Step-by-step explanation:

Answer:

Part A: The origin would be (0, 0)

Part B:

(-1, 1)  starting from the origin (0,0), would move left 1 on the x-axis  then you would move up 1 on the y-axis

(1, -1.5)  starting from the origin (0,0), you would move to the right 1 on the x-axis, then you would move down 1.5 on the y-axis

(2, 1/4) starting from the origin (0,0), you would move to the right 2 on the x-axis, then you would move up 1/4 (.25).

a) The origin would be (0, 0).

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis (Verticle) are the two axes that make up a coordinate plane.

Given:

a) The origin would be (0, 0).

b) First, (-1, 1) move left 1 on the x-axis then you would move up 1 on the y-axis

Second, (1, -1.5) move to the right 1 on the x-axis, then move down 1.5 on the y-axis

Third, (2, 1/4) move to the right 2 on the x-axis, then move up 1/4 (.25).

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Based on his score last week and his score this week, we can say that Jacob increased his score by 180%

Jacob scored 25 in his test last week and then this week scored 70.

The increase can be found as:

= (New score - Old score) / Old score x 100%

Solving gives:

= (70 - 25) / 25 x 100%

= 180%

In conclusion, Jacob increased by 180%

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Answer:

Step-by-step explanation:

The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.

  height² + base² = diagonal²

  height² +24² = 26²

  height² = 676 -576 = 100

  height = √100 = 10

__

The area is the product of the base and height.

  A = bh

  A = (24)(10) = 240

The height is 10 units; the area is 240 square units.

Answer:

I don't know

Step-by-step explanation:

Answer:

what you need to know is all lines equal up to 180

so basically it's 180 - 115

which is 65

comment down below if you need more explanation

Step-by-step explanation:

The equation of the line for the graph that has y-intercept (0, 6) and contains the point (2, 1) is; y = -2.5x + 6

The general form of the equation of a Line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are told that the graph has the points (0, 6) and (2, 1). Thus, the formula for slope is;

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 6)/(2 - 0)

m = -5/2

m = -2.5

Now, since the y-intercept is at (0, 6), then it means that;

c = 6

Thus, the equation of the line is; y = -2.5x + 6

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Answer:

  (b)  y -4 = 3(x -2)

Step-by-step explanation:

You are given the form

  y -y1 = m(x -x1)

and the values

  y1 =4, m =3, x1 =2

Putting these in their places gives ...

  y -4 = 3(x -2)

110 is the initial fee.

intial fee is the y-intercept.

Answer:

IV

y-axis

x-axis.

Step-by-step explanation:

(-2 1/2, -72)  -  2 negative values so: Quadrant IV.

(0, 6):  When x = 0 we are on the y-axis,

(-5, 0):  if y = 0 its the x-axis.

Answer:

x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides

x - 5x + 5 = x - 2x + 3

- 4x + 5 = - x + 3 ( add x to both sides )

- 3x + 5 = 3 ( subtract 5 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

x = [tex]\frac{2}{3}[/tex]

Answer: what? What’s the question?

Answer:

y= 32

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

a. 3x = 2x + 10, b. x = 10, c. 30 degrees

Step-by-step explanation:

Angle 4 and angle 6 = 180 degrees, so

3x = 2x + 10

x = 10

Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is

(a)

3x + 2x + 20 = 180 , simplifying

(b)

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

(c)

∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°

Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:One minute is 60 times as long as one hour i guess?

Answer:

N=3

Step-by-step explanation:

use cross multiplication to find 28N=84 and then divide both sides by 28 to get N=3

Answer:

N = 3

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF , then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{21}{N}[/tex] = [tex]\frac{28}{4}[/tex] = 7 ( multiply both sides by N to clear the fraction )

21 = 7N ( divide both sides by 7 )

3 = N

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12

Answer:

  A, D, F

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet evaluate the function for you. Reflection over the y-axis means x is replaced by -x in the original function definition.

The values that show up on the reflected graph are ...

  (-7, -10.206)

  (0.5, -0.221)

  (9, -0.003)

Answer:

what questions?

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

hope it will help I think 49 is the answer

Answer:

Value of [tex]x=5[/tex]

Step-by-step explanation:

Given that

[tex]3=\log _{10}(8)+3 \log _{10}(x)\\\\3=\log _{10}(8)+\log _{10}(x^3)\\\\3=\log _{10}(8x^3)\\\\8x^3=10^3\\\\x^3=125\\\\x=5[/tex]