All categories

4 years ago

The area of a rectangle is 5454 in squaredin2. the ratio of the length to the width is 3 : 23:2. find the length and the width.

1 answer:

8 0

hello :
let : x the length and y the width
the area is : xy and ; x/y = 3/2
xy =5454 ...(1)
x = (3/2)y ... (2)
subsct in (1) : (3/2)y ×y = 5454
3y² = 10908
y² = 3636....continue calculate : y

You might be interested in

Is 9.4 rational or irrational :p, please help

densk [106]

Answer:

i think its rational.

Step-by-step explanation:

7 0

3 years ago

How many degrees is angle “X”?

aleksley [76]

Answer:

The answr is 102 degrees. Here's why

Step-by-step explanation:

The square means the angle is 90 degrees. Therefore, for the big triangle, we already know 2 of the degrees, 50 and 90. A triangle's degrees add up to 180. 50+90=140. 180-140=40. This means the top angle is 40. Now finding X is easy, because we already know the other 2 points in the triangle, which are 38 and 40. Add those up, you get 78. 180-78=102, your answer. The triangle is 102 degrees.

6 0

3 years ago

Read 2 more answers

Mom baked a Dutch apple pie in a 9-inch pie pan. She cut the pie into 6 equal pies so that

Hatshy [7]

The area and arc length of each piece can be found using the

relationship between a circle and a sector of the circle.

Responses (b, c, and d are approximated):

a. 120°

b. 10.6 square inch

c. 28.3 in.

d. Area: 15.8 in.², Central angle: 89.1°

<h3>How can the pie pieces dimensions be evaluated?</h3>

Given:

Diameter of the pan, d = 9-inch

Number pie pieces cut from the apple pie = 6

The pie pieces are sectors of a circular pie.

a. The central angle of one pie pieces = $\dfrac{360^{\circ}}{6}$ = 60°

Therefore;

The central angle of two pie pieces = 2 × 60° = 120°

b. Area of circular pie = π·r²

Where;

$r = \mathbf{\dfrac{d}{2}}$

Therefore;

$r = \dfrac{9}{2} = \mathbf{ 4.5}$

$The \ area \ covered \ by \ each \ pie \ piece = \dfrac{\pi \times 4.5^2}{6} \approx \mathbf{10.6}$

The area covered by each pie piece is approximately 10.6 square inch

c. The circumference of a circle = 2·π·r

The circumference of the original pie = 2 × π × 4.5 in. ≈ 28.3 in.

d. Let the arc length of the pie piece = 7 inches

$\mathbf{Area} \ of \ the \ \mathbf{pie \ piece}= \dfrac{7}{2 \cdot \pi \cdot 4.5} \times \pi \times 4.5^2 = \dfrac{7}{2 } \times 4.5 = 15.75 \approx 15.8$

The area of the pie piece is approximately 15.8 in.²

$The \ central \ angle \ of \ the \ pie \ piece = \dfrac{7}{2 \cdot \pi \cdot 4.5} \times 360^{\circ} \approx \underline{ 89.1^{\circ}}$

Learn more about circumference, area and sector of a circle here:

brainly.com/question/12985985

5 0

3 years ago

Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?

Ksenya-84 [330]

The one that is a step used in the construction o an equilateral triangle inscribed in a circle would be :
B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

hope this helps

8 0

4 years ago

Read 2 more answers

Help ASAP pls due 10/22/18 I will mark BRAINLIEST

maria [59]

-3/8 is between them and its terminating -0.375

-4/9 is between them and it repeating -0.44444444

7 0

3 years ago