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fiasKO [112]
3 years ago
12

Which statement is true

Mathematics
1 answer:
liberstina [14]3 years ago
8 0
B is true
********************************************************************************

You might be interested in
Find the sum of the first one hundred positive integers. see fig 6.26
nignag [31]
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.

Quick note
We can use a formula to find out the sum of an arithmetic series:
s =  \frac{n(n + 1)}{2}
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
8 0
3 years ago
Simplify each radical
const2013 [10]

Answer:

AECG

Step-by-step explanation:

1

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

2

sqrt(36) = 6

sqrt(a^2) = a  See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone.  There's only 1 of them.

5b sqrt(a)

answer: C

4

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

8 0
2 years ago
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Aleksandr [31]

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

3 0
3 years ago
The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the fo
Kitty [74]

Answer:

r=\sqrt{\frac{V}{3\pi}}\\\\r\approx 5.00\ ft

Step-by-step explanation:

-The volume of a cylinder is given by the formula:

V=3\pi r^2

#We make r the subject of the formula:

V=3\pi r^2\\\\r^2=\frac{V}{3\pi}\\\\r=\sqrt{\frac{V}{3\pi}}

#We then substitute for the stated volume and solve for r:

r=\sqrt{\frac{V}{3\pi}}, V=236\\\\\therefore r=r=\sqrt{\frac{236}{3\pi}}\\\\r=5.00404\approx\ 5.00\ ft

Hence, the cylinder's radius is approximately 5.00 ft

5 0
3 years ago
Twelve less than a third of a number is -10
jolli1 [7]
I believe that number would be 6.
1/3n-12= -10
+12 +12
_________
1/3n = +2
x3 x3
_________
n = 6
7 0
3 years ago
Read 2 more answers
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