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3 years ago

5

a water sprinkler sends water out in a circular pattern. determine how large an area is watered. the radius of watering is 18ft.

use the approximate value 3.14

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Use the formula for area of a circle,
$a = \pi \times {r}^{2}$
and they give an approximation so use that for pi

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Half a number plus 5 is 11.What is the number?

SOVA2 [1]

<h3>Solution :</h3>

<u>Let x be the number</u>

$\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}$

$\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}$

$\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}$

$\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }$

$\small\bold\red{→}\small\bold{x = 12}$

6 0

3 years ago

Read 2 more answers

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy − y2 + x = 20, (3

marin [14]

$\bf x^2+2x6-y^2+x=20\impliedby taking\ \cfrac{dy}{dx}\textit{ to both sides}
\\\\\\ 2x+2\left( y+x\frac{dy}{dx}\right)-2y\frac{dy}{dx}=0\impliedby \textit{common factor 2}
\\\\\\
2\left[ x+\left( y+x\frac{dy}{dx}\right)-y\frac{dy}{dx}\right]=0
\\\\\\ x+y+x\frac{dy}{dx}-y\frac{dy}{dx}=0\impliedby \textit{common factor }\frac{dy}{dx}
\\\\\\
\cfrac{dy}{dx}(x-y)=-x-y\implies \cfrac{dy}{dx}=\cfrac{-x-y}{x-y}\qquad 
\begin{cases}
x=3\\
y=4
\end{cases}\ then
\\\\
$

$\bf \cfrac{dy}{dx}=\cfrac{-3-4}{3-4}\implies \cfrac{dy}{dx}=7\\\\
-----------------------------\\\\
\textit{tangent equation at }\begin{cases}
x=3\\
y=4\\
m=7
\end{cases}
\\\\\\
y-4=7(x-3)\implies y=7x-21+4\implies y=7x-17$

6 0

3 years ago

ruslelena [56]

Answer:

the gas cost for the entire trip is $77

Step-by-step explanation:

Given that

For the first 300 miles, it spend $12.50 on gas

We need to find out the gas cost for the overall trip at the time when it drives 960 miles

So, it should be

= 960 miles ÷ $12.50

= $76.80

= $77

Hence, the gas cost for the entire trip is $77

8 0

3 years ago

What is the greatest common factor of the monomial 10x²y^5 and 15xy³? Explain

Eddi Din [679]

5x²y³ is the GCF
5 is the GCF of 10 and 15, to find the GCF of the variables, take the lowest exponent power of each of the variables

4 0

3 years ago

Can you please help me solve for the area

ycow [4]

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

$5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12$

the, the area of the left triangle is

$A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30$

the area of the right triangle is

$A_2=\frac{2*12}{2} \\A_2=12$

and the area of the rectangle in the middle is

$A_3=(13)(12)\\A_3=156$

Por tanto, el area total sera

$A=A_1+A_2+A_3\\A=30+12+156\\A=198$

8 0

3 years ago