All categories

3 years ago

Find the approximate side length of a square game board with an area of 105in2.

Mathematics

1 answer:

alukav5142 [94]3 years ago

8 0

Answer:

Approximately 10.2 inches

Step-by-step explanation:

The area of a square is given by the formula:

$A=s^2$

Where A is the area and s is the side length.

Since we already know that the area A is 105, substitute:

$105=s^2$

Now, take the square root of both sides:

$s=\sqrt{105}$

Use a calculator:

$s\approx10.2470$

So, the side length is approximately 10.2 inches.

You might be interested in

Which number produces a rational number when added to 0.42

kenny6666 [7]

Any Whole or Rational Number, 1 can be used as an Example if you want it Simple

4 0

3 years ago

If sec(theta) =25/24, find cot(theta) (Picture provided)

larisa [96]

Answer:

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

So,

$\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.$

8 0

3 years ago

Read 2 more answers

these spam accounts are really about to take over this app. no fr, like, i see them on almost all of my posts as well as in the

Korolek [52]

Answer:

Your blocking people that need help

Step-by-step explanation:

Don’t add posts like these as others who need help will have to go through these first

3 0

2 years ago

An account earns simple interest. $1800 at 6.5% for 30 months

Vikentia [17]

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)
P = Principal AmountI = Interest Amount
r = Rate of Interest per year in decimal;
r = R/100
R = Rate of Interest per year as a percent;
R = r * 100
t = Time Period involved in months or years

Calculation:

First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
putting time into years for simplicity,
30 months ÷ 12 months/year = 2.5 years,
then, solving our equation

A = 1800(1 + (0.065 × 2.5)) = 2092.5 
A = $ 2,092.50

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 1,800.00
at a rate of 6.5% per year
for 2.5 years (30 months) is $ 2,092.50.

5 0

3 years ago

It is assumed that the time customers spend in a record store is uniformly distributed between 3 and 12 minutes. Based on this i

monitta

Answer:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$