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Olegator [25]
3 years ago
15

Area of triangle with 5 cm radius

Mathematics
1 answer:
vichka [17]3 years ago
7 0
The answer is 32.5cm^2

Hope this helps!!
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Decide whether the sequence 4,10,20,34,52 ....... is a linear model,
Alecsey [184]

Answer:

Lineal.

Step-by-step explanation:

To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:

4 to 10 = +6

10 to 20 = +10

20 to 34 = +14

34 to 52 = +18

Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.

Therefore, since there is no quadratic or cubic relationship, the sequence is linear.

6 0
3 years ago
A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate
Alex

well, from birth to your twentieth birthday that'll just be 20 years, so

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07

5 0
2 years ago
Solve for P if E = 2.50 and r = 2.00 given that E = P4πr2
const2013 [10]

Answer:

P = 0.05

Step-by-step explanation:

E = P4πr²

2.50 = P4π(2)²

2.50 = P4π4

2.50 = P(50.265)

P = 0.05

5 0
4 years ago
A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the lengt
Nataly_w [17]

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x  since thery are in the ratio of 2 :7

 Such that Length of the shorter string = 2x

and the longer string = 7x  so that  the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm  

       

5 0
3 years ago
Solve the system by substitution.<br>3x-6y=2<br>4x+3y=-1​
crimeas [40]

Answer:

y = -1/3

x = 0

Step-by-step explanation:

3x-6y = 2    then 3x = 2+6y,   x=(2+6y)/3

4x+3y = -1

substitute for x

4(2/3+2y)-6y = 2

8/3+8y-6y = 2

reduce

2y = 2-8/3

2y = -2/3

divide both sides by 2

y = -1/3

4x+3(-1/3) = -1

4x = 0

x = 0

8 0
3 years ago
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