Tyrone is working with two other students to build a border around the school’s triangular garden. Each student brought in one side of the border, but they all used different units to measure the side lengths. The first side is 312 inches long, the second side is 20 feet long, and the third side is 12 yards long. If the measurements need to be in feet, will the three border pieces make a right triangle?

Convert the third side into feet using a proportion.

Answer:

[tex]31.73\ in^2[/tex]

Step-by-step explanation:

1. Approach

The easiest way to solve this problem is to find the area of the triangle and the area of the inscribed circle. Then subtract the area of the inscribed circle from the area of the triangle.

2. Find the area of the triangle,

The area of the triangle can be found using the following formula,

[tex]A_t=\frac{b*h}{2}[/tex]

Where (b) represents the base of the triangle, and (h) represents the height.

Substitute in the given values and solve,

[tex]A_t=\frac{b*h}{2}\\\\A_t=\frac{12*10}{2}\\\\A_t=\frac{120}{2}\\\\A_t=60[/tex]

3. Find the area of the inscribed circle,

The formula to find the area of a circle is the following,

[tex]A_c=(pi)r^2[/tex]

Where (pi) represents the numerical value (3.1415...) and (r) represents the radius of the circle. By its definition, the radius of a circle is always half of the diameter, thus the radius of the given circle is (3).

Substitute in the given values and solve,

[tex]A_c=(pi)r^2\\\\A_c=(pi)(3)^2\\\\A_c=(pi)9\\\\A_c=28.26[/tex]

4. Find the area of the shaded region,

To accomplish this task, subtract the area of the circle from the area of the triangle,

[tex]A_t-A_c=A_s[/tex]

[tex]60-28.26=A_s[/tex]

[tex]31.73=A_s[/tex]

Answer:

C

Step-by-step explanation:

C:  The graph shows that there is no movement for the first few minutes, and then the distance from home decreases (rather than increases).

Answer:

Just saying that there are links people post that scam you and this is requird by Brainly

Step-by-step explanation:

The table is completed below.

We can say that the relationship between the scale factor and the area of scaled copies is proportional.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Using the formula for the area of a triangle:

Area = 1/2 x base x height

With a base of 3cm and height of 2cm, the area of the original triangle is:

Area = 1/2 x 3cm x 2cm = 3cm²

To find the area of the scaled triangles, we can use the scale factor to determine the corresponding dimensions, and then calculate the area using the same formula.

Scale factor Corresponding dimensions Area

1                         3cm x 2cm               3cm²

2                         6cm x 4cm                12cm²

5                        15cm x 10cm               75cm²

s                        3s cm x 2s cm             3s² cm²

Now,

To see if the relationship between the scale factor and the area of scaled copies is proportional, we can calculate the ratio of the area to the scale factor for each row of the table:

Scale factor Corresponding dimensions Area Ratio of area to scale factor

1                             3cm x 2cm             3cm²          3/1 = 3

2                             6cm x 4cm             12cm² 12/2 = 6

5                                 15cm x 10cm      75cm² 75/5 = 15

s                            3s cm x 2s cm     3s² cm²  (3s²)/s = 3s

In each case, the ratio of the area to the scale factor is constant, which means that the relationship between the scale factor and the area of scaled copies is indeed proportional.

Therefore,

We can say that the relationship between the scale factor and the area of scaled copies is proportional.

Learn more about triangles here:

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5 groups with 9 sixth-grade students and 14 seventh-grade students in each.

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hope it helps

Answer:

a, and e.

Step-by-step explanation:

x+6=5+x has no solution. When you subtract 6 from both sides, you get x=-1+x. We know that x doesn't equal -1+x, so this equation has no solution.

-2(x-3)=-2x+6 has a solution. When you distribute, you get -2x+6=-2x+6.

4-4x=3x+2 has a solution. Subtract 4 from both sides to get -4x=3x-2. Subtract 3x from both sides to get -7x=-2, then divide -2 by -7 to get x=0.285714285714. This equation has a solution.

4(x+1)=3(x+2) has a solution. Distribute to get 4x+4=3x+6. Subtract 4 from both sides to get 4x=3x+2. Subtract 3x from both sides to get x=2. This equation has a solution.

5-3x=-3x+4 has no solution. Subtract 5 from both sides to get -3x=-3x-1. We know that -3x does not equal -3x-1, so we can determine that this equation has no solution.

Answer:

a  and e has no solution

Step-by-step explanation:

A) x + 6 = x +5

Subtract x from both sides

   x + 6 - x = x + 5 - x

        6 = 5 which is not true.

So, this equation has no solution

d) 5 - 3x = -3x + 4

Add 3x to both sides

5- 3x + 3x = -3x + 4 + 3x

5 = 4         which is not true.

So, no solution

so you are watching a roast battle on yt starting up rblx and expect other ppl to make your homework...

Answer:

$630

Step-by-step explanation:

First, multiply the original price by the decimal of the percentage:

900 x 0.30 = 270

Since this is a discount we subtract the original amount and the discount amount. If it we were calculating tax or a raised price, you would add. But were lowering the price so:

900 - 270 = 630

Therefore, it’s 630

Answer:

2) id.k

3) Enlargement

4) D

5)id.k

6)A

Bonus: how do you like genshin impact, and who is your favorite character?

Which expressions represent exponential growth? Check all that apply.

0.2t

1.2t

2x2 – 17

300(1.2)2y

3000(0.12)y

4y + 3

1.12x + 67

Answer: 17.300

Answer:

Which expressions represent exponential growth? Check all that apply.

A. 0.2t <<----CORRECT

B. 1.2t <<-------CORRECT

C. 2x2 – 17

D. 300(1.2)2y

E. 3000(0.12)y

F. 4y + 3

G. 1.12x + 67  

Step-by-step explanation:

See picture below

Answer:

Hello Corey. Those are just variables, there is really no answer.

Answer:

x<-1/10

Step-by-step explanation:

7x+2 < -3x+1

+3x +3x

10x+2 < 1

-1 -1

10x+1 < 0

-1 -1

10x < -1

x < -1/10

Answer:

75+8n

Step-by-step explanation:

$75 is the constant because that is the amount of money only paid once. $8 is the coefficient because it is multipled by the variable n. The variable is the amount of people going to the bowling alley.

Therefore, to determine the total cost, you need add $75 to the product of 8 and the number of people coming.

Answer:28

Step-by-step explanation:

Answer:

k=73

Step-by-step explanation:

Answer:

the answer i believe is 73

Step-by-step explanation:

k + 2 = 75

k + 2 = 75

-2 -2

__________. *Cancel out the +2 and -2*

73

Answer:

bru wat

Step-by-step explanation:

Answer:

The customary system is the system of measurement primarily used in the United States. Units in this system include the inch, foot, mile, pound, and cup. The metric system is the system of measurement primarily used in science and in countries outside of the United States.

Answer:

the person above me is right

Step-by-step explanation:

Here is an example of how to draw an isosceles trapezoid:

   _______

 /                 \

/_________\

In this trapezoid, the two parallel sides (the top and bottom sides) are of equal length, and the two non-parallel sides (the left and right sides) are also of equal length. The angles between the top and left sides and between the top and right sides are equal, as are the angles between the bottom and left sides and between the bottom and right sides.

An isosceles trapezoid is a type of trapezoid where the two non-parallel sides of the trapezoid are of equal length. This means that the trapezoid has a line of symmetry through its mid-point, which divides the trapezoid into two congruent triangles. The two parallel sides of an isosceles trapezoid are also referred to as bases, and the height of the trapezoid is the perpendicular distance between the two bases.

Because an isosceles trapezoid has two congruent triangles, the angles opposite these sides are also congruent. Therefore, an isosceles trapezoid has two pairs of congruent angles, with each pair containing one acute angle and one obtuse angle. The acute angles are located adjacent to the parallel sides, while the obtuse angles are located adjacent to the non-parallel sides.

Isosceles trapezoids have several interesting properties, including that the diagonals of an isosceles trapezoid are congruent, and that the diagonals bisect each other. Additionally, the length of each diagonal can be found using the Pythagorean theorem, and the area of an isosceles trapezoid can be determined using the formula:

Area = ((a + b) / 2) * h

Where "a" and "b" are the lengths of the two parallel sides (bases) and "h" is the height of the trapezoid.

PART B:

An isosceles trapezoid is a quadrilateral with two parallel sides (the bases) and two non-parallel sides of equal length. A parallelogram is also a quadrilateral with two pairs of parallel sides.

An isosceles trapezoid can be thought of as a special case of a parallelogram where one pair of opposite sides is shorter than the other pair. In fact, if you extend the non-parallel sides of an isosceles trapezoid until they intersect, you will get a parallelogram with the same base and height as the original trapezoid.

Conversely, if you take a parallelogram and draw a line segment parallel to one pair of opposite sides, you will get an isosceles trapezoid. This means that every isosceles trapezoid can be thought of as a parallelogram with a missing piece, and every parallelogram can be thought of as an isosceles trapezoid with extra pieces added on.

So, in summary, isosceles trapezoids and parallelograms are related in that isosceles trapezoids can be thought of as special cases of parallelograms, and parallelograms can be thought of as isosceles trapezoids with extra pieces added on.

PART C:

No, we cannot use the term "isosceles" to describe a rectangle because a rectangle, by definition, has four right angles and opposite sides that are parallel and congruent to each other. An isosceles trapezoid, on the other hand, has only one pair of parallel sides and two non-parallel sides that are congruent to each other.

The term "isosceles" is typically used to describe triangles or trapezoids where two sides are congruent to each other. In an isosceles triangle, two sides are equal in length, while in an isosceles trapezoid, two non-parallel sides are equal in length. However, in a rectangle, all four sides are equal in length, not just two.

Therefore, while we can describe a rectangle as having all sides congruent to each other, we cannot describe it as an isosceles rectangle because "isosceles" implies only two sides are congruent, which is not the case for a rectangle.

Learn more about Isosceles triangles/shapes:

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Answer:

28.8

Step-by-step explanation:

hi friend the answer is 28.80$ hope that helps you

Answer:

Its A

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

i took the test

Answer:

1. 3x+15

2. 4x+36

3. 4x+36

4. 6x-2

5. 5x-10

6. 4x-24

7. 2x+1

8. 6x+21

9. 4x+16

10. 4x+10

11. x+4

12. 5x-10

To expand an equation, you can apply the distributive property

==> The distributive property, sometimes known as the distributive property of multiplication, tells us how to solve certain algebraic expressions that include both multiplication and addition.

CREDIT: prepscholar.com ^ for the definition of the distributive property

Answer:

F. A reflection over the x-axis and a horizontal stretch

Step-by-step explanation:

Using Desmos, a well-known graphing-calculator website, you can input the two equations. You can see that the h(x)= -(x/4)^2 equation does in-fact reflect over the x-axis and is wider than x^2, meaning that it has a horizontal stretch.

Answer:

Step-by-step explanation:

All we need to do here is to employ the point-slope formula for the equation of a straight line:  y - k = m(x - h).  Here h = 3, k = 7 and m = 2.  After substituting these values into y - k = m(x - h), we get:

y - 7 = 2(x - 3)  (point-slope form)

This is perfectly adequate/correct, but it can be simplified into slope-intercept form y = mx + b:

y = 2x - 14 + 21, or

y = 2x + 7       Clearly, the y-intercept is 7 and the slope is 2.  This is the slope-intercept form.

To graph this line, let x = 0.  Then the y-intercept is (0, 2).  Plot this.  Next, find the x-intercept:  Let y = 0 and solve the resulting equation for x:

0 = 2x + 7, or 2x = -7, or x = -7/2.  Plot this (-7/2, 0).  Finally, draw a line through these two points (0, 2) and  (-7/2, 0).

Answer: Kyle received $0.77

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Process of elimination... Its not C or D because the % distributes onto the dress cost and it only contributes to 111.79. Also, 40% of 1 is 0.6 so its not B, which leaves A...