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2 years ago

What’s the slope of (-3, 6), (2, 6)?

Mathematics

1 answer:

IRINA_888 [86]2 years ago

4 0

Answer:

Step-by-step explanation:

(y2-y1)/(x2-x1)

6(y2)-6(y1)= 0

2(x2)- -3(x1)=5

0/5=0

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Four gallons of paint are used to paint 25 chairs. If each chair uses the same amount of paint. How many gallons are used to pai

kolbaska11 [484]

4 / 25 = 0.16 gallons per chair.

5 0

2 years ago

Find the mean of the data set shown below. Round to the nearest tenth, if necessary. This Week’s High Temperatures (°F) 29, 38,

malfutka [58]

Answer:

The answer is 44.7, because you have to add up all of the numbers then divide by how many numbers there are.

6 0

1 year ago

Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

2 years ago

The nearest hundredth, what is the measure of (RT)?<br> a.)2.24<br> b.)6.11<br> c.)9.75<br> d.)13.89

vivado [14]

I believe it's B.) 6.11. I hope this helps!

4 0

2 years ago

On a scale drawing, a building is 5.5 tall. If the scale if the drawing is 1 inch: 8 ft, how tall is the building

arsen [322]

First, since the building is 5.5 inches and the scale is 1 inch for 8 feet, you would multiply 5.5* 8 to get 44 feet.

7 0

2 years ago