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3 years ago

Dan has a conical lamp shade with an altitude of 6 inches and a diameter

Mathematics

1 answer:

Luda [366]3 years ago

7 0

Answer:

226.22 in^2

Step-by-step explanation:

Given data

Height l= 6in

Diameter= 12in

Radius= 12/2= 6in

The expression for the total surface area of a cone is given as

TSA= πrl+πr^2

substitute

TSA= 3.142*6*6+3.142*6^2

TSA= 113.112+113.112

TSA= 226.22 in^2

Hence the TSA is 226.22 in^2

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Each letter represents a question answer

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A. 2x+3x-6=10+4x

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5x=16+4x

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3 years ago

Which of the following options results in a graph that shows exponential growth?

Galina-37 [17]

I know for a fact B is wrong, so you can mark that off. I got C.

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3 years ago

A point's coordinates are changed from (–7, –2) to (–7, 2). What effect does this have on the location of the point

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3 years ago

A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i

lianna [129]

Answer:

The width is $24.5in$

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

$P=2l+2w$ .

$\Rightarrow 179=2l+2w...(1)$ .

It was given that the width of the mat is eight less than half the length.

$w=\frac{1}{2}l-8...(2)$

We put equation (2) into equation (1) to get;

$179=2l+2(\frac{1}{2}l-8)$ .

$\Rightarrow 179=2l+l-16$ .

$\Rightarrow 179+16=2l+l$ .

$\Rightarrow 3l=195$

Divide both sides by 3;

$l=65$

We put $l=65$ into equation 2 to get;

$w=\frac{1}{2}\times65-8$

$w=32.5-8$

$w=24.5in$

4 0

3 years ago

Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of

irina1246 [14]

Answer: $24^{\circ}$

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of $u=1\ m/s$

Motor boat traverses the river from east to west at a speed of $v=2.5\ m/s$

South component of boat velocity must compensate the river velocity in order to travel in west direction.

$\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}$

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2 years ago