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Veronika [31]
3 years ago
10

Ava and Becca are collecting canned goods.Ava collected 3/4 of a box of canned goods.If Becca collected 5times as much as Ava, h

ow many boxes did Becca collect?
Mathematics
1 answer:
liq [111]3 years ago
8 0
Becca collected 3 and 3/4 worth of boxes
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Find the area of a triangle with a =33, b =51, and c =42.
PolarNik [594]

Answer:

d. 690.1 units²

Step-by-step explanation:

1. You can use the Heron's formula to calculate the area of the triangle, which is:

K=\sqrt{s(s-a)(s-b)(s-c)}

Where:

s=\frac{a+b+c}{2}

2. Calculate s:

s=\frac{33+51+42}{2}\\s=63

3. Substitute values into the formula shown above and calculate the area, as following:

K=\sqrt{63(63-33)(63-51)(63-42)}\\K=690.1units^{2}

4. Therefore, the area is 690.1 units².

4 0
3 years ago
What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
ruslelena [56]
<h3>Answer:   375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

  • 300+60 = 360
  • 300+60+12 = 360+12 = 372
  • 300+60+12+2.4 = 372+2.4 = 374.4
  • 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

3 0
3 years ago
PLEASE HELP!!! RIGHT AWAY PLEASE!!
miv72 [106K]

Answer:

1

3

4

Step-by-step explanation:

8 0
2 years ago
Is 10/3 equivalent to 70/21
slava [35]
Yes because if you divide both, the numerator and denominator, by 7 it would simplify  to 10/3, so they are equivalent.
7 0
3 years ago
What is the equation for the line of reflection <br><br> A. X=6<br> B. Y=6<br> C. Y=x<br> D. Y=2
PilotLPTM [1.2K]

Answer:

x = 6

Step-by-step explanation:

The line of reflection is x = 6.

5 0
3 years ago
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