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Colt1911 [192]
3 years ago
15

A 35 foot board is to be cut into two pieces, one which is 7 feet smaller than the other. What will be the size of the two piece

s?
Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0
One piece would be 14 feet and the other is 21 feet.
sergejj [24]3 years ago
3 0
35/2= 17.5

7/2= 3.5 

17.5+ 3.5 = 21

17.5-3.5 = 14

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Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9
BabaBlast [244]

Answer:

0

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

5 0
3 years ago
What is the shape of this distribution
Len [333]
Answer is B. Hope this helps
Could I please get brainliest answer?
3 0
3 years ago
The length of a regulation soccer field is 110 meters. The diagonal length of the same soccer field is about 133.14 meters. Abou
dexar [7]

Answer:

D

Step-by-step explanation:

Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.

We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.

We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.

From there subtracting 12100 from both sides gives b²=5626.2596.

Square rooting b isolates it, leaving b=75.0083969.

Since the value of the diagonal was approximate, this can be assumed the b is 75m.

**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!

8 0
3 years ago
Please help me!! I’ll give brainliest
vlada-n [284]

Answer:

volume = 1134.6 cm³

Step-by-step explanation:

volume = 8.2 x 13.7 x 10.1 = 1134.6 cm³

3 0
3 years ago
at a community college a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was dete
babymother [125]

Answer:

177

Step-by-step explanation:

Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.

This means that 65.56% of the students studied at the library primarely.

8 0
2 years ago
Read 2 more answers
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