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
DIA [1.3K]
1 year ago
8

Find the value of x so that the shaded region is a gnomon to the white rectangle.

Mathematics
1 answer:
RUDIKE [14]1 year ago
4 0

Based on the shaded region, the value of x which makes this region a gnomon is x = 1.

<h3>What is value of x?</h3>

Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:

3/ 6 = (1 + 3) / (x + 6 + x)

1/2 =  4 / (6 + 2x)

6 + 2x = 4 / (1/2)

2x = 8 - 6

x = 2/2

x = 1

Find out more on shaded regions at brainly.com/question/9767762.

#SPJ4

You might be interested in
Name the lengths of the side of three rectangles that have perimeters of 14 units
Viktor [21]
5,5.2,2
6,6,1,1
4,4,3,3
2,2,55
8 0
3 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
How do I work out 1 over 4 + 3 over 8
Dmitrij [34]
You would do 1/4 and get the answer plus 3/8s answer
6 0
3 years ago
7th grade math help. Check answers too please
seraphim [82]

Answer: It looks correct to me !

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW
    6·1 answer
  • Six times the sum of a number and four
    11·1 answer
  • the selling price of a certain video is $6 more than the price the store paid. If the selling price is $27, find the price that
    12·1 answer
  • Can u pls help me with this question ​
    12·2 answers
  • The maximum cost is $35. what is inequality. that's the question, i didn't write this
    5·2 answers
  • Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis: y=x6, y=1 abo
    11·1 answer
  • Please help me with this question.
    14·1 answer
  • If Yessenia wants to buy a $165,000 whole life policy, and the annual premium rate (per $1000 of face value) for her age group i
    14·1 answer
  • I need help with this please​
    6·1 answer
  • Find the circumference and area of a circle with diameter 2 ft
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!