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
Elodia [21]
3 years ago
9

A gift box’s rectangular base has a perimeter of 92 centimeters. The length of the base is one more than twice the base’s width.

Find the width (in centimeters) of this rectangular base.
Mathematics
1 answer:
kozerog [31]3 years ago
3 0
Assume that the length of the rectangle is "l" and that the width is "w".

We are given that: 
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II

Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15

Substitute with w in equation I to get the length as follows:
l = 2w + 1 
l = 2(15) + 1
l = 30 + 1 = 31

Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
You might be interested in
How many sides do 4 pentagons and 3 nonagons have in all?
Alja [10]

Answer:

47

Step-by-step explanation:

^

6 0
3 years ago
Dylan has a square piece of metal that measures 10 inches on each side. he cuts the metal along the diagonal, forming two right
Artemon [7]
You need to use the Pythagorean theory. a² + b² = c². So you would end up with 10²+10²=c². So, 10²=100, therefore you would end up with 200=c². In order to find the length of the hypotenuse, you need to find C. To do this, you need to undo the square and find the square root of 200 and C. So, you would get √200=√c² which would equal 14.1 inches. Then, if needed to check the answer, plug the 10,10,and 14.1 back into the a²+b²=c² and it should make the statement true.
5 0
3 years ago
Can someone pls help
azamat

Answer:

3.6

Step-by-step explanation:

sine theta=3.2/5.1

theta=sine^-1(3.2/5.1)

theta=38.86230987

sine 38.86230987=x/5.7

x=sine 38.86230987(5.7)

x=3.576470588

Rounded to the nearest tenth is 3.6

4 0
3 years ago
When constructing a perpendicular bisector why must the compass opening be greater than 1/2.
muminat

It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

<h3>What is perpendicular bisector?</h3>

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

  1. Set the compass on a radius more than half the length of the line AB.
  2. Using A as your center, draw an arc above and below line AB.
  3. With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.
  4. Join the two arc intersections to cut line AB at M.

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

To know more about perpendicular bisector, here

brainly.com/question/7198589

#SPJ4

4 0
1 year ago
What are the solutions of 4x2 - 8x +5 = 0 ?
MrRissso [65]

Answer:

x= {2+ i}/2 , {2- i}/2 = C

Step-by-step explanation:

4x² - 8x +5 = 0

using quadratic formula

x= {-b±√b²-4ac}/2a

x= [-(-8)±√(-8)²-4(4)(5)] /2x4 = [8±√64-80]/8= [8±√-16]/8 = {8±4 i}/8

x= {8+4 i}/8 , {8-4 i}/8

x=4 {2+ i}/8 , {2- i}/8

4 divides 8

x= {2+ i}/2 , {2- i}/2 = c

6 0
3 years ago
Read 2 more answers
Other questions:
  • I think its B
    9·2 answers
  • Find the area of the sector below. Round your answer to two decimal places. PLEASE HELP PIC ATTACHED (pls explain how to solve i
    9·1 answer
  • How many ace of spades are in a deck of 52 playing cards
    13·1 answer
  • The quotient of twice a number T and 12
    8·1 answer
  • Can someone help explain this to me? I’d appreciate it a lot.
    10·1 answer
  • Robin purchased 3 1\2 ounces of whole wheat cereal for $1.40. What is the cost per ounce?
    6·1 answer
  • Find the measure of each exterior angle of the regular polygon.
    8·2 answers
  • What is 2*2 answerbbbbbbbbbbbbbbb
    13·2 answers
  • Jenny bought 0.18lb of penny candy. Will bought 0.9lb of penny candy. Who bought more?
    8·1 answer
  • A shipping box in the shape of a rectangular prism has the dimension shown.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!