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Galina-37 [17]
2 years ago
9

. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9

units. Find the length and width of the box.
Mathematics
1 answer:
lukranit [14]2 years ago
3 0

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

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What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?
sukhopar [10]

Answer:

Step-by-step explanation:

Pyramid height should be 14

Base area should be 14*14(196)

So, Base area is 196

1. Multiply the Base area by the height of the pyramid:

196*14=2744

2. Divide the number above by 3:

2744/3=914.7

7 0
2 years ago
(x+2)(x+5) find the following products by using distributive property
nika2105 [10]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Cy) = 3y - 4<br> d(y) = 3 – 2y<br> Find (c. d)(y).
Sati [7]
It is the middle because the top and bottom don’t add up or make sense
3 0
2 years ago
A group of 570 students were surveyed about the courses they were taking at their college with the following results:
garri49 [273]

Answer:

The number of students who took English and History, but not Math is 143.

Step-by-step explanation:

Denote the subject choices as follows:

<em>M</em> = a students was taking Math

<em>E</em> = a students was taking English

<em>H</em> = a students was taking History

The data provided is as follows:

N (M) = 257

N (E) = 282

N (H) = 323

n (M ∩ E) = 154

n (M ∩ H) = 171

n (E ∩ H) = 143

n (M ∩ E ∩ H) = 80

Consider the Venn diagram below.

From the provided data and the Venn diagram the value of the set E and H minus M is 143.

Thus, the number of students who took English and History, but not Math is 143.

7 0
2 years ago
4-8m=-8-5m what is m​
faust18 [17]

Answer:

-9m-4

Step-by-step explanation:

Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:

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6 0
2 years ago
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