The perimeter of a rectangle is 50 yards. The width is 1 more than one-half of the length. What are the dimensions of the rectangle?

Answers

Answer 1
Answer:

Answer:

The length of the rectangle is 16 yards

The width of the rectangle is 9 yards

Step-by-step explanation:

The given parameters are;

The perimeter of the rectangle = 50 yards

The width, W of the rectangle = 1 + Length, L/2

Therefore we have;

W = 1 + L/2

2 × W + 2 × L = 50

2 × (1 + L/2) + 2 × L = 50

2 + L + 2·L = 50

3·L = 50 - 2 = 48

L = 48/3 = 16

The length, L = 16 yards

The width, W = 1 + L/2 = 1 + 16/2 = 1 + 8 = 9

The width, W = 9 yards.


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If 4x - 3 = 5, then x=

What is the sum of all measures of the interior angles of a regular three-sided polygon?a. 100°
b. 150°
c. 180°
d. 360°

Answers

The sum of the interior angles of a polygon is:

180(n-2)

Where n is the number of sides. Therefore

180(1)
=180

So the interior angles add up to 180 degrees in a triangle.
The sum of the three angles inside a 3-sided polygon...
commonly referred to as a "triangle" ... is 180 degrees. 

It doesn't matter whether the polygon is regular or not. 
Any three sides make three angles that total 180 degrees.

Taylor and Abby shared a $55 cash prize in the ratio 2:3. How much money did Taylor get?

Answers

the 2 to 3 ratio means there was 5 equal shares.  because 2 plus 3 is 5

so if you divide 5 into 55 you get 11.  each share is 11.

then multiply 11 by  or 3 (depending on the person) in this case 2 because we want to know about Taylor

2 times 11 is 22.

Taylor got 22 dollars

All of the following points lie on the graph of y = 2 xexcept _____.(0, 0)
(1, 2)
(2, 4)
(3, 8)

Answers

We have a line;
y=2x
Now , we find out with points belong to this line.
(0,0); it means: x=0 and y=0
y=2*0=0; therefore this point lie on the graph of y=2x.

(1,2); it means: x=1 and y=2.
y=2*1=2; therefore this point lie on the graph of y=2x.

(2,4), it means: x=2 and y=4.
y=2*2=4; therefore this point lie on the graph of y=2x

(3,8), it means: x=3 and y=8.
y=2*3=6≠8. Therefore thispoint doesn´t lie on the graph of y=2x.

Answer: All of the following points lie on the graph of y=2x, excpet (3,8).

Help me find the degree of this polynomial

Answers

Answer:

polynomial of degree 8

Step-by-step explanation:

the degree of a polynomial is the value of the exponent of the term with the largest exponent

given

6s^(8) +  2s^(6) - 5s

the term with the largest exponent is 6s^(8) , with exponent of 8

then the polynomial is of degree 8

What is the circumference of a circle that has a radius of 10 centimeters? Round your answer to one decimal place. C = a0 cm

Answers

Answer:  62.8 centimeters

Step-by-step explanation:

We know that the circumference of a circle is given by :_

\text{Circumference}=2\pi r, where r is the radius of the circle.

Given : The radius of the circle : r= 10 centimeters.

Then , the circumference of the circle is given by :-

\text{Circumference }=2(3.14)(10)\n\n\Rightarrow\ \text{Circumference }=62.8\ cm

Hence, the circumference of the circle = 62.8 centimeters

C=2*3.14*10=20*3.14=62.8cm

You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Answers

The correct answer is:
4.2 inches.

Explanation:
We use the size of the largest dimension of the reproduction to find the scale factor. The largest dimension of the original drawing was 5 inches.
The largest dimension of the reproduction is 11 inches.

To find the scale factor, divide:
(11)/(5)=2.1.

Since the scale factor is 2.1, to find the smallest dimension of the reproduction we multiply the original by 2.1:
 2*2.1=4.2 inches.

Answer:

Answer is 4.2 - I just took the quiz

Step-by-step explanation: