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77julia77 [94]
4 years ago
6

Tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long to load boxes of apples in. Each b

ox the apples are packed in has to have a volume of 5184 in3. Help design a box that will fill the trailer with no wasted space, and meet the volume requirements

Mathematics
1 answer:
Andreyy894 years ago
4 0
To get the volume 5184 in3 you can use the dimension 18in x 24in x 12in.
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Find the area of the composite shape below.<br> help to get sum coin
enot [183]

Answer:

Composite Area = 1105.94

Step-by-step explanation:

Remark

The two semi circles at each end make an entire circle with radius 11. The width of the central rectangle = the diameter of the circle. The area should be able to be found.

Width

2*radius = width

width = 2 * 11

width = 22

Area of the circle

Area = pi * r^2

r = 11

Area = 3.14 * 11^2

Area = 3.14 * 121

Area = 379.94

Area of the rectangle

Area = L * W

L = 33

W = 22

Area = 33 * 22

Area = 726

Total Area

Total Area = Area of Rectangle + Area of the Circle

Total Area = 726 + 379.94 = 1105.94

3 0
3 years ago
50 points! Mhanifa please help me
Nikolay [14]

Answer:

1) x=8, y=138

2) x=110

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u=(-8,8) , v= (
Jobisdone [24]

Answer:

none of the given options is true

Step-by-step explanation:

Given: u=(-8,8) , v= (-1,2)

To find: vectors w_1,w_2 such that u=w_1+w_2

Solution:

A vector is a quantity that has both magnitude and direction.

proj_vu=\frac{u\cdot v}{\left | v \right |^2}(v)\\=\frac{(-8,8)\cdot (-1,2)}{(\sqrt{ (-1)^2+2^2})^2}(-1,2)\\=\frac{8+16}{5}(-1,2)\\=\frac{1}{5}(-24,48)\\=(-4.8,9.6)

Let w_1=(-4.8,9.6)

So,

w_2=u-w_1\\=(-8,8)-(-4.8,9.6)\\=(-8+4.8,8-9.6)\\=(-3.2,-1.6)

So, u = (-4.8,9.6)+(-3.2,-1.6)

So, none of the given options is true

8 0
3 years ago
50 POINTS! I MARK BRAINLEST AND SAY THANKS!
Phantasy [73]
Y *x =20

y +x =9

rewrite 1st eq. as y = 20/x

subsituute that into 2nd eq.

20/x +x =9

multiply each term by X

20 +x^2 = 9x
 subtract 9x from each side:

x^2 - 9x +20 = 0

now factor:

(x-5) (x-4) = 0

solve for x
5-5 = 0
 4-4 = 0

so X can be 4 or 5

replace x into equations and solve for Y

 so when X = 4, Y = 5
 When X = 5, Y = 4

x= 5,4
y = 4,5



5 0
4 years ago
Read 2 more answers
What is the following sum? 4√5+2√5 a. 6√10 b. 8√10 c. 6√5 d. 8√5
soldi70 [24.7K]
Since the radicands (the number under the radical) are the same, add the coefficients and keep the radicand.
4√5  + 2√5  = 6√5
LETTER C
6 0
4 years ago
Read 2 more answers
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