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schepotkina [342]
2 years ago
12

In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?

Mathematics
1 answer:
shusha [124]2 years ago
8 0

Answer:

-2 < AC < 8

Step-by-step explanation:

The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.

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56% of ___ is 84.<br> Explain your method.
AnnyKZ [126]
150% of 84 i believe lol .
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3 years ago
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A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the
belka [17]

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce <em>ln</em> on both sides

ln 1.5 = ln 1.025^{t}

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

4 0
3 years ago
An apple farmer has planted 0.3 of his orchard with cherry trees. The orchard is 8.59 acres in size. How many acres are planted
Lynna [10]
0.3(8.59) = 2.577 rounds to 2.58 acres
6 0
3 years ago
Help asap
kiruha [24]

Answer: (1) d, f     (2) c, d, f     (3) e, f      (4) a, b, c, d, f     (5) e, f

<u>Step-by-step explanation:</u>

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     <em>(add zero to the Natural numbers)</em>

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   <em>(add negatives to the Whole numbers)</em>

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating.  <em>This is its own category so cannot be a Rational number or above.</em>

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2  has a terminating decimal so it is a RATIONAL number.

2) -4  is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) \sqrt4 = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) \sqrt7  is a non-terminating decimal so it is an IRRATIONAL number

6 0
3 years ago
Find the shaded area.<br> 12 cm<br> 8 cm<br> 8 cm<br> 18 cm
Mrrafil [7]

Answer:

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Step-by-step explanation:

The shaded area is calculated as

outer area - inner white area

= (12 × 18) - (8 × 8 )

= 216 - 64

= 152 cm²

7 0
3 years ago
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