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evablogger [386]
2 years ago
8

This answer needs to be rounded to the nearest hundredth. Example:12.34

Mathematics
1 answer:
lara [203]2 years ago
7 0
Answer is 14.14
Reason
Using Pythagorean theory
a^2 + b^2 = c^2
The two legs are a and b, the longest diagonal opposite the right angle is c
10^2 + 10^2 = c^2
200 = c^2
Take square root of both sides
14.14 = c
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Convert the following measurements into
Andre45 [30]

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

6 0
3 years ago
53w + 13 < 56w + 16 solve for w
Sergio039 [100]

Answer:

w>-1

Step-by-step explanation:

1 Move terms

53w-56w<16-13

2 Collect like terms then subtract

-3w< 3

3 Divide both sides by -3

Answer: w>-1

4 0
3 years ago
Read 2 more answers
Refer to the picture above
vodomira [7]

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

2\pi r = Circumference.

2 * \pi * 6 = 12\pi

Find the ratio of the angle in relation to the entire circle:

30^o is what we have. So:

\frac{30^o}{360^o} = \frac{1}{12}

Use the ratio and multiply the circumference to find the length:

12\pi * \frac{1}{12} = \pi

Round answer to the hundredth:

\pi = 3.14

4 0
3 years ago
Read 2 more answers
Harrison and Sherry are making decisions about their bank accounts Harrison wants to deposit $200 as a principal amount with an
AlekseyPX

Answer:

Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.

Step-by-step explanation:

We use the Total Amount generated using compound interest formula to solve this question

Formula =

Total Amount(A) = P(1 + r/n)^nt

a) For Harrison

Principal = $200

Interest rate = 2% = 0.02

Time = 2 years

n = compounding quarterly = 4

A = P(1 + r/n)^nt

A = $2,000(1 + 0.02/4)^2×4

A = $2,000(0.005)^8

A = $ 2081.4140878

A = $ 2,081.41

b) For Sherry

Principal = $200

Interest rate = 4% = 0.04

Time = 2 years

n = compounding monthly = 4

A = P(1 + r/n)^nt

A = $2,000(1 + 0.04/12)^2×12

A = $2166.2859184

A = $ 2,166.29

The Total Amount for

Harrison = $ 2,081.41

Sherry = $ 2,166.29

Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.

7 0
3 years ago
Find the exact arc length of the given arc. show all work and leave terms of pi and reduce your fraction.
Sauron [17]

Answer:

20/3pi

Step-by-step explanation:

\frac{75}{360}  \times 2\pi \times 16 \\  =  \frac{2400}{360} \pi\\  =  \frac{20}{3}   \pi\\  = 20.94 \: cm

Please give brainliest if it helps

5 0
3 years ago
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