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almond37 [142]
3 years ago
10

For questions 1–2, find the volume of the given prism. Round to the nearest tenth if necessary. 1. (1 point) 265.1 cm3 274.4 cm3

274.6 cm3 269.3 cm3 2. (1 point) 2,028.0 yd3 1,756.3 yd3 1,434.0 yd3 3,512.6 yd3 3

Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0
1. The answer is 269.3 cm³.

The volume of a the rectangular prism (V) is the product of its length (l), width (w), and height (h):
V = l * w * h

According to the image:
l = 12.1 cm
w = 5.3 cm
h = 4.2 cm

Therefore,
V = 12.1 * 5.3 * 4.2 = 269.3 cm³


2. The answer is 1,756.3 yd³.

The volume of the triangular prism (V) is:
V = 1/4 * h √(a⁴ + 2(ab)² + 2(ac)² * b⁴  + 2(bc)² * c⁴)
where: h - height of the prism,
a, b, c - sides of the base

According to the image:
h = 24 yd
a = b = c = 13 yd

Therefore:
V = 1/4 * 24 * √(13⁴ + 2(13 * 13)² + 2(13 * 13)² * 13⁴  + 2(13 * 13)² * 13⁴)
V = 1756.3 yd³
Elden [556K]3 years ago
7 0

Answer:

just took the quiz! 100% correct!

1)D

2)B

3)A

4)B

5)B

6)D

7)C

8)A

9)A

10)B

11)B

12)B

Step-by-step explanation:

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Debora [2.8K]

Answer:

y=-1/2n+44

Step-by-step explanation:

The number of bean stalks, n, represents the x values

The yield, y, represents the y values

After reading the problem, we have two coordinates: (30,29) and (32, 28) Because this problem is asking for y=mn+b, we have to find the slope. How do we find the slope? We do so by using the slope formula y2-y1/x2-x1. Now let's input the coordinates into this formula.

1.) 28-29/32-30 = -1/2

Let's plug -1/2 into y=mn +b

2.) y=-1/2n+b

Now we have to find what b ( y intercept) equals. To find B, we plug a coordinate into x and y. Let's use (30,29)

3.) 29 = -1/2(30)+b

29 = -15 +b

44 = b

We have now found the linear relationship form for this problem: y=-1/2n +44

8 0
2 years ago
(-6) x 8<br> What is this ?????
torisob [31]

Answer:

-(6) x 8

ans: - 48

I believe that is the ans:

5 0
2 years ago
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
Viktor [21]

Answer:

<h2> (2, -1)</h2>

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\  \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\

Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1

Hence the critical numbers of the function are (2, -1)

8 0
3 years ago
Two of the solutions for the equation 2x + 3y = 12 are (9
jolli1 [7]
X=<span><span><span>‌<span><span>−3/</span>2</span></span>‌y</span>+<span>6 is the answer to your problem I think

</span></span>
5 0
3 years ago
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In August, James begins school shopping for his triplet daughters. One day, he bought 10 pairs of socks for $2.50 each and 3 pai
denpristay [2]

Answer:

2.50*10  350+d

Step-by-step explanation:

  • thats the answer up below
6 0
2 years ago
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