1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulsSmile [24]
3 years ago
9

The perimeter of parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length . Find the Length a

nd the Width of the parallelogram.
Mathematics
1 answer:
Marrrta [24]3 years ago
6 0
Let n = length
let n-4 = width since it is 4 meters shorter

2( n+n-4)  =72  Two of the length and width added together equal the perimeter
combine like terms
2(2n -4) = 72   Now use the distributive law on the left side of the equation
4n -8 = 72    Now add 8 to both sides

4n -8 +8 = 72 +8
4n = 80  Finally divide each side by 4
n=20
so the length is 20 and the width is 4 less or 16.
Let's see if our answer works.
20 + 16 + 20 +16 =?  72
 72 =72  yes, it does.   Length = 20 Width = 16
You might be interested in
Which numbers produce An irrational number when added to 0.4
ad-work [718]
<span>3pi is an irrational number; the other options are not.</span>
4 0
3 years ago
Read 2 more answers
What is the answer of Three over <br> Four multiply to eight over nine ?
andrew11 [14]
The answer would be 2 over 3, or 2/3. (:
5 0
3 years ago
Read 2 more answers
The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal
Fynjy0 [20]

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

8 0
3 years ago
PQR is an isosceles triangle in which PQ = PR
otez555 [7]

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is <u>ASA</u> or <u>Angle, Side, Angle</u> and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that <em><u>triangle QNR is congruent to triangle RMQ.</u></em>

The image in the attachment shows the angles and their included side, which are colored.

3 0
3 years ago
The x - intercept of the function f(x) = x2 + 4x - 12 is:
Assoli18 [71]

Answer:

C) (-6,0)(2,0)

For x-intercept, f(x) = 0:

{ \tt{ {x}^{2} + 4x - 12 = 0 }} \\   { \tt{(x - 2)(x + 6) = 0}}

8 0
3 years ago
Read 2 more answers
Other questions:
  • Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot
    8·1 answer
  • Please help if you know, thanks!
    12·1 answer
  • FIRST GETS BRAINLLEST If each 12 feet on the scale drawing below equals 3 cm, what is the actual length of the green line?
    11·2 answers
  • Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartF
    5·2 answers
  • What is the total weight, in pounds, of 100 sharks that each weigh 5.015× 10 (to the 3rd power) pounds
    5·1 answer
  • Write the coordinates of one point that lies in the second quadrant of the coordinate plane.
    13·1 answer
  • Can you please help me? as much as you can is greatly appreciated &lt;333 pt 1
    8·1 answer
  • Hi i need to know if this is a function...
    9·1 answer
  • What are the vertices of the image r(90,0) (BCD)
    6·1 answer
  • Lashonda runs 12 miles in 92 minutes.<br> How many miles does she run per minute?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!