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miv72 [106K]
3 years ago
13

Item 8

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

452.39 mm^2

Step-by-step explanation:

Area of a circle = \pi r^2

Here r = 12mm

Therefore, Area= \pi x 12^2 = 452.389342...

Round to required degree of accuracy = 452.39mm^2

Hope this helps

You might be interested in
The length of segment with endpoints (0,-1) and (4,7)
Art [367]

Answer:

Length = 9 units

Explanation:

Length between two points...,

Apply the following formula,

Length = square root of [(difference in x coordinates)^2 + (difference in y coordinates)^2]

Length = square root of [ (4 - 0)^2 + (7 - -1)^2 ]

Length = square root of (80)

Length = 9 units

4 0
3 years ago
Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account. Which of t
Tomtit [17]

The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72

<h3>Exponential equations</h3>

Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;

y = ab^x

where

a is the base

x is the exponent

b is the rate

If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:

y = 1000(1.03)^x

If y = 1500, find the value of x

1500 = 1000(1.03)^x
1.5 = 1.03^x

ln1.5 = xln1.03
x = ln1.5/ln1.03

x = 13.72

Substitute to determine the equation

y = 1000(b)^13.72

Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72

Learn more on exponential equation here: brainly.com/question/2456547

#SPJ1

4 0
2 years ago
If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will
aleksandrvk [35]

Answer:

P(T\ n\ S) = \frac{1}{14}

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

Total = 4 + 5 + 3 + 3

Total = 15

Represent the triangle with T and square with S

So, we're solving for P(T n S)

P(T\ n\ S) = P(T) * P(S)

Solving for P(T)

P(T) = \frac{n(T)}{Total}

P(T) = \frac{5}{15}

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

P(S) = \frac{n(S)}{Total}

P(S) = \frac{3}{14}

Recall that

P(T\ n\ S) = P(T) * P(S)

P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}

P(T\ n\ S) = \frac{15}{15 * 14}

P(T\ n\ S) = \frac{1}{14}

Hence, the required probability is

P(T\ n\ S) = \frac{1}{14}

3 0
3 years ago
The quadratic 8x^2+12x-14 has two real roots. What is the sum of the squares of these roots? Express your answer as a common fra
leonid [27]

Answer:

23/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-8.4-0.9<br> please help solve
bearhunter [10]

Answer:

-9.3

Step-by-step explanation:

Google

7 0
3 years ago
Read 2 more answers
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