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3 years ago

How can I find the surface area of a right cone with a radius of 6 and slant height of 16

1 answer:

3 0

First, you have to calculate the height.
Pythagorean Theorem:
a^2+b^2=c^2
Slant height=c^2
Radius=b^2
So, a^2+6^2=16^2
a^2+36=256
a^2=220
a=14.832397
Surface Area = πr(r+ square root of h^2+r^2)

Surface Area is approximately 414.69

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Ronch [10]

Answer: first graph is F(x) = 0.5(x-6) (x+2)

Second graph f(x) = (x - 3) ( x + 1 )

Third graph f(x) = -2(x - 1) (x + 3 )

Step-by-step explanation:

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PLATO

8 0

2 years ago

The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c

cestrela7 [59]

Answer:

It will cost $79.38 to carpet the shape

Explanation:

Find the diagram of the parallelogram attached

Area of a parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1*3.5

Area of a parallelogram = 28.35m²

Since 1m² = $2.80

28.35m² = x

Cross multiply

x = 28.35 * 2.80

Hence it will cost $79.38 to carpet the shape

5 0

2 years ago

Can someone please help me with this question.

rusak2 [61]

25x25+20x25+20x15+15x25=1800 the answer is D.

5 0

3 years ago

Please help me find the perimeter.

slavikrds [6]

Answer:

31.42 cm (rounded up to two decimal places)

Step-by-step explanation:

We first find the circumference of the semi-circle segment:

The circumference will be given by; $\frac{1}{2}$ × π × D (where D is the diameter)

The diameter is 6 cm so circumference is;

$\frac{1}{2}$ × π × 6 cm = 9.42 cm (rounded up to two decimal places)

The perimeter of the figure therefore is;

8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm

8 0

3 years ago

Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *

Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

$\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill$

$\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x$

7 0

2 years ago