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3 years ago

The area of a square window is 0.25 square meter. How long is each side of the window in meters? *

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Answer:

0.5

Step-by-step explanation:

Since the area of a square is length×length

But according to the question we are asked to find the length and the area is given so we will have to solve this

L×L= area

L^2=0.25

Square root both sides

L=√0.25

L=0.5

Therefore the length of the square is 0.5

mart [117]3 years ago

6 0

Answer:

o.25

Step-by-step explanation:

Because a square has equal sides so all sides have to be 0.25

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15$ is what percent of 240$

miskamm [114]

15/240=0.0625=6.25%
Just divide the part by the whole

5 0

3 years ago

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

2 years ago

Jimmy is working at a factory where they make cars and trucks in the ratio five to four if the factory makes 100 trucks how many

-BARSIC- [3]

Answer:

125

Step-by-step explanation:

5/4=x/100

x=500/4

x=125

4 0

2 years ago

PLEASE HELP! GEOMETRY.

vitfil [10]

I hope this helps you

3 0

3 years ago

Through: (1,5), perp. to y=-1/10x + 3<br> pls help

Sedbober [7]

First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.

Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given

8 0

3 years ago