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
spayn [35]
2 years ago
15

A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3, a helght of 8 inches

and a base perimeter of 40 inches.
The machine malfunctioned, and in order to be fixed the correct dimensions of the box needed to be input. What length and width would a worker need to input in
order to fix the machine?

Length:?
inches width:?​
Mathematics
1 answer:
Kazeer [188]2 years ago
8 0

Answer:

Length=10 Inches

Width=10 Inches

Step-by-step explanation:

Volume of the box =800in^3

Height=8 Inches

Base Perimeter =40 Inches

Volume of a box=lbh

SInce h=8 in, V=800.

Then:

8bl=800

bl=100

l=\frac{100}{b}

Base Perimeter=40 Inches

Perimeter of the Base= 2(l+b)

Therefore: 2(l+b)=40

Substituting l=\frac{100}{b}

2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch

Recall:

l=\frac{100}{b}=\frac{100}{10}\\l=10 Inch

Therefore:

Length=10 Inches

Width=10 Inches

You might be interested in
What is the value of x? assume that the line is tangent to the circle
nekit [7.7K]

Answer:

70°

Step-by-step explanation:

Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.

From the figure, central angle AOB has the measure of 220°.

Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB = m∠OBA = 1/2 (180° - 140°)

m∠OAB = 20°

Since drawn line is tangent line, then OA is perpendicular to this tangent line and

x° = 90° - 20°

x° = 70°

4 0
3 years ago
Billy is going to share 2 1/2 pizzas with
svet-max [94.6K]

Answer:

5/6

Step-by-step explanation:

2 1/2 -> 5/2

5/2 divided by 3, which is 0.83333333333

0.83333333333 as a simplied fraction is 5/6

4 0
2 years ago
Find the equation of the line with slope = -6 and passing through (-6,32).write your equation
Lemur [1.5K]

Point slope form says the line through (a,b) with slope m is

y - b = m(x - a)

Here that's

y - 32 = -6(x - -6)

y -32 = -6(x + 6) = -6x - 36

y = -6x - 4

Check:

-6(-6) - 4 = 36 - 4 = 32, good

Answer: y = -6x - 4

4 0
2 years ago
4 ounce bottle of medicine contains 20 doses how many doses are in a 13 ounce of all of the same medicine
NNADVOKAT [17]
\bf \begin{array}{ccllll}
ounces&doses\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
4&20\\
13&x
\end{array}\implies \cfrac{4}{13}=\cfrac{20}{x}

solve for "x"
3 0
3 years ago
Read 2 more answers
Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What
777dan777 [17]

Answer:

B) \frac{3}{4} x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

                               = 40 units

Dilating KMPT by a scale factor of \frac{3}{4} would create K'M'P'T' of dimensions; \frac{3}{4} × 12 units by \frac{3}{4} × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

                                  = 2(9 + 6)

                                  = 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be  \frac{3}{4} × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

         perimeter of K'M'P'T' = \frac{3}{4} * x units

                                            = \frac{3}{4}x units

6 0
3 years ago
Other questions:
  • Segment AB is on the line y − 4 = −5(x − 1), and segment CD is on the line y − 4 = one fifth(x − 5). Which statement proves the
    8·2 answers
  • A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 10,000
    8·1 answer
  • Please help me in Math
    6·1 answer
  • Show that tan (45°) = 1
    11·1 answer
  • A card is drawn from the numbered from 5 to 30 find the probability of getting square or even numbered card
    9·1 answer
  • 4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
    8·1 answer
  • Match each sequence below to statement that BEST fits it.
    8·1 answer
  • Triangle ABC has vertices A(2,0), B(6,0) and C(4,5). Prove that the triangle is isosceles and ​not​ a right triangle
    11·1 answer
  • If someone could help me out thank u!
    14·1 answer
  • Please help me.............
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!