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harina [27]
3 years ago
6

Please help, test due in 2 hours! Will give good review and brainliest. :)

Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

224in³

Step-by-step explanation:

Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.

Volume of rectangular prism= (length)(width)height)

=(14)(4)(10)=560in³

Volume of pyramid=((length)(width)height))/3

=((14)(4)(6))=336in³

560in³-336in³=224in³

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The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t
tigry1 [53]

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Which set of lengths are the side lengths of a right triangle? (9,15,17) (14,23,25) (20,30,40) (15,36,39)
goldfiish [28.3K]

Answer:

(15, 36, 39)

Step-by-step explanation:

Using pythagoreas formula: A^2 * B^2 = C^2

so a=15, b=36, c=39

15^2+36^2=39^2

6 0
3 years ago
The cost of making a cheese cake is RM45. In
mars1129 [50]

Answer:

CHEESE

Step-by-step explanation:

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3 0
3 years ago
Find three positive consecutive integers such that the product of the second integer and the third integer is 72
Anastaziya [24]
Let
x---------> first  positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first  positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9

3 0
3 years ago
Read 2 more answers
triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side
lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

(20 x-2)^2 = (12x + 20)^2 + (25x)^2

Expand the bracket

400x^2- 4 = 144x^2 + 400 + 625x^2

Collect like terms

400x^2 - 144x^2 - 625x^2 = 400 + 4

-369x^2 = 404

Make x^2 subject

x^2 = \frac{404}{369}

x = \sqrt{1.0948}

x = 1. 046

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

#SPJ1

8 0
2 years ago
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