All categories

3 years ago

One leg of a right triangle measures 10 inches while the other leg measures sqrt(21) Inches . What is the length of hypotenuse ?

Mathematics

2 answers:

Sveta_85 [38]3 years ago

4 0

Answer:

$\sqrt{541} \\$ =x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

$\sqrt{541} \\$ =x

Snezhnost [94]3 years ago

4 0

Answer:

c= 23.26 inches

Step-by-step explanation:

a^2+b^2= C^2

c=a^2+b^2=10^2+21^2=23.25941

You might be interested in

Is 7- y=5x+11 a standard form

koban [17]

Answer:

No.

Step-by-step explanation:

Because standard form is ax+by=c.

6 0

3 years ago

Expand the expression 5(p - 1) + 3(p - 0.75)

Whitepunk [10]

Answer:

=8p−7.25

Step-by-step explanation:

=(5)(p)+(5)(−1)+(3)(p)+(3)(−0.75)

=5p+−5+3p+−2.25

=(5p+3p)+(−5+−2.25)

=8p+−7.25

6 0

3 years ago

You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was

Doss [256]

Answer:

A) The linear relation between price and demand is:

$d=-550x+2750$

The revenue R is:

$R=-550x^2+2750x$

B) The profit functionP is:

$P=-550x^2+2750x-30$

C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.

Step-by-step explanation:

We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.

We have two points for this linear relationship:

At price x=3, the demand is d=1100.
At price x=2.5, the demand is d=1375.

We will model the relation:

$d=mx+b$

We can calculate the slope m as:

$m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550$

Then, replacing one point in the linear equation, we can calculate the intercept b:

$d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750$

Then, the linear relation between demand and price is:

$d=-550x+2750$

The revenue R can be expressed as the multiplication of the price and the demand:

$R=x\cdot d=x(-550x+2750)=-550x^2+2750x$

If we have a fixed cost of $30 per month, the profit P is:

$P=R-FC=-550x^2+2750x-30$

We can maximize the profit by deriving the profit function and making it equal to zero.

$\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5$

This corresponds to a profit of:

$P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5$

5 0

3 years ago

The table shows four numeric expressions. Which expression is an integer when it's evaluated?

baherus [9]

Answer:

Option C) G.

Step-by-step explanation:

Verify each expression

case E) we have

$3.8+0$

Any number plus zero equals the original number (Identity property of addition)

$3.8+0=3.8$ -----> is a decimal number

case F) we have

$0+0.5$

Any number plus zero equals the original number (Identity property of addition)

$0+0.5=0.5$ -----> is a decimal number

case G) we have

$-8+0$

Any number plus zero equals the original number (Identity property of addition)

$-8+0=-8$ -----> is an integer

case H) we have

$9/0$

division by zero is undefined

4 0

3 years ago

-6x + 7 (3x + 13) = -74

Sergio039 [100]

Answer:

the answer to the question is -11

3 0

3 years ago