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4 years ago

Type the equation that shows the pattern among this set of ordered pairs (2,4) (3,8) (4,12) (5,16)

Mathematics

1 answer:

Leona [35]4 years ago

7 0

The pattern is add 1 to the first number and add 4 to the second number.

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Find the area of the figure

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

$A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25$

Area of triangle with angle of 50°:

$A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575$

Area of the rest of the figure:

$A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087$

Therefore:

$A=A_1+A_2+A_3=6.25+9.575+61.087=76.912$

3 0

3 years ago

John is younger than miraji for 15yrs after 4yrs the sum of their age will be 41yrs find the age of miraji at present

Margaret [11]

(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
x= 24

6 0

4 years ago

GC - If the principal amount of money put into a bank is $2000 with a 3.5% rate compounded quarterly, what is the amount after 6

alisha [4.7K]

Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so $n=4$ .

Substituting $P=2000,r=0.035,n=4,t=6$ , we get

$A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}$

$A=2000\left(1+0.00875\right)^{24}$

$A=2000\left(1.00875\right)^{24}$

$A=2465.10340$

Approximate the value to the nearest hundredth.

$A\approx 2465.10$

The amount after 6 years us $2465.10. Therefore, the correct option is A.

4 0

3 years ago

1/3(x + 2) = 2/3x + 4

olga_2 [115]

For this case we have the following equation:

$\frac {1} {3} (x + 2) = \frac {2} {3} x + 4$

We apply distributive property on the left side of the equation:

$\frac {1} {3} x + \frac {2} {3} = \frac {2} {3} x + 4$

Subtracting $\frac {2} {3} x$ from both sides of the equation:

$\frac {1} {3} x- \frac {2} {3} x + \frac {2} {3} = 4\\- \frac {1} {3} x + \frac {2} {3} = 4$

Subtracting $\frac {2} {3}$ from both sides of the equation:

$- \frac {1} {3} x = 4- \frac {2} {3}\\- \frac {1} {3} x = \frac {12-2} {3}\\- \frac {1} {3} x = \frac {10} {3}$

We multiply by 3 on both sides of the equation:

$-x = \frac {10} {3} * 3\\-x = 10$

We multiply by -1 on both sides of the equation:

$x = -10$

The solution of the equation is $x = -10$

ANswer:

$x = -10$

4 0

4 years ago

How to dividing whole numbers

Bumek [7]

Answer:

It would really depend on what the number is and HOW you're dividing it! If you need help, make sure to explain WHAT you're trying to divide.

Step-by-step explanation:

6 0

3 years ago