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VARVARA [1.3K]
3 years ago
14

Question part

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

If the northern side has length x and the east and west sides have length y, then the cost of the fence is 
<span>C = 12x + 12y + 6y </span>
<span>and the enclosed area is A = xy. </span>

<span>12x + 18y = 6000 </span>
<span>x = 500 - 1.5y </span>
<span>A = 500y - 1.5y^2 </span>

<span>A is maximized when y = 500/3. In which case x = 250. </span>
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Is the mass of one pound of lead greater than less than or equal to one pound of feathers?
mrs_skeptik [129]
Equal to because they are both still a pound in weight :D

7 0
3 years ago
Select the graph that best represents the given table of values.
kirill115 [55]

Answer:

The first image,

Step-by-step explanation: Hope this helps!

5 0
3 years ago
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
PolarNik [594]

Answer:

JL ≈ 32  

Step-by-step explanation:

The triangle JKL  has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.

Let us find side the angle J first from the  triangle JKM. Angle JMN is 90°(angle on a straight line).

using the cosine ratio

cos J = adjacent/hypotenuse

cos J = 18/24

cos J = 0.75

J = cos⁻¹ 0.75

J = 41.4096221093

J ≈ 41.41°

Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore,  180 - 41.41 - 90 = 48.59

Angle L = 48.59 °.

Using sine ratio

sin 48.59 ° = opposite/hypotenuse

sin 48.59 ° = 24/JL

cross multiply

JL sin 48.59 ° = 24

divide both sides by sin 48.59 °

JL = 24/sin 48.59 °

JL = 24/0.74999563751

JL = 32.0001861339

JL ≈ 32  

8 0
3 years ago
Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?
AURORKA [14]
Total yards if fabric /fabric needed to make an elf costume
therefore 16 1/5 ÷ 5 2/5
=3
so Barney can make 3 costumes out of 16 1/5 yards of fabric
8 0
4 years ago
Read 2 more answers
PLEASE HELP ME SOMEONE! i DON'T KNOW WHAT TO DO!
nika2105 [10]

Answer:

(A∩B)´U C´

U= {1,2,3,4,5,67,8}

A={1,2,4,5}

B={2,3,5,6}

C= {4,5,6,7}

A ∩ B={2,5}

(A ∩B)´ = U -(A∩B)={1,2,3,4,5,67,8} - {2,5}={1,3,4,6,7,8}

C´= U - C={1,2,3,4,5,67,8} - {4,5,6,7}= {1,2,3,8}

(A∩B)´U C´={1,3,4,6,7,8} U {1,2,3,8}=  {1,2,3,4,6,7,8}

paint numbers {1,2,3,4,6,7,8}

see figure

8 0
4 years ago
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