All categories

3 years ago

Find the area of the figure shown below and choose the appropriate result.

Mathematics

1 answer:

Alisiya [41]3 years ago

8 0

Answer:

6cm

Step-by-step explanation:

You might be interested in

A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia

serious [3.7K]

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994). is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

7 0

3 years ago

Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi

Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

$x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}$

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0

3 years ago

1 . If x = 3+2√2, then find the value of x- 1-x

Bess [88]

Step-by-step explanation:

Thanks don't forget to follow up...

5 0

2 years ago

Y varies directly with x. If x = 16 and y = 2 find y when x = 96

ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

6 0

3 years ago

Is (8, 3) a solution to the system? - 2 + 4y = 4 - 2 + 3y = 1

AURORKA [14]

Answer:

No, it's not a solution.

Step-by-step explanation:

-2 + 4(3) = 4

-2 + 12 = 10

-2 + 3(3) = 1

-2 + 9 = 7

3 0

3 years ago