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Galina-37 [17]
3 years ago
14

What is the square footage of a 13 foot by 14 foot circle?

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

{169}ft^{2}


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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have V=IR^{2} and let H be the subset of V of all points on the line

4x+3y=12

We need to find if H is a subspace of the vector space V.

In IR^{2} all the possibilities for own subspace of the vector space IR^{2} are :

  • IR^{2} itself.
  • The vector 0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]
  • All lines in IR^{2} that passes through the origin  (  0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]  )

We know that H is the subset of IR^{2} of all points on the line 4x+3y=12

If we look at the equation, the point \left[\begin{array}{c}0&0\end{array}\right] doesn't verify it because :

4x+3y=12\\4(0)+3(0)=12\\0=12

Which is an absurd. Therefore, H doesn't contain the origin (and H is a line in IR^{2}). Finally, it can't be a vector space of V=IR^{2}

8 0
3 years ago
A cylindrical container of height 28cm and diameter 18cm is filled with water.The water is then poured into another container wi
Harman [31]

Answer:

answr

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9th

Maths

Surface Areas and Volumes

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A cylindrical container wit...

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Asked on December 20, 2019 by

Ziya Vïvəķ

A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.

MEDIUM

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ANSWER

Given,

Diameter of the base of the cylindrical container d=56 cm

Hence, radius of the base of the cylindrical container r=

2

56

=28 cm

Dimensions of rectangular solid is (32 cm×22 cm×14 cm)

We know that when a body is completely submerged in a container containing water,

the rise in the volume of water in the container is equal to the volume of the body.

Let, the water rises to a height h.

Hence,

Volume of water rises in cylindrical container =Volume of the rectangular solid

πr

2

h=32×22×14 cm

3

7

22

×(28)

2

×h=9856 cm

h=

22×784

9856×7

cm

h=4 cm

4 0
3 years ago
Read 2 more answers
3/5 - 1/3 give your answer as a fraction in its simplest form
Step2247 [10]

Answer:4/15

Step-by-step explanation:

1. multiply and divide (left to right)3/5

=3/5-1/3

2.multiply and divide (left to right) 1/3

=3/5-1/3

3.add and subtract (left to right) 3/5-1.3:4/15

=4/15

4 0
3 years ago
what is an equation of the line that passes through the point (6, 8) and is perpendicular to a line with equation y=3/2x 5
Evgen [1.6K]

Answer:

y= -2/3x+12

Step-by-step explanation:

3 0
2 years ago
What percent of 863.6 is 380
Aleks04 [339]
Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.
4 0
3 years ago
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