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3 years ago

A right cone has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

The height of the cone is 18.79 ft.

Step-by-step explanation:

Given,

The slant height (l) of the cone = 17 ft

The diameter = 16 ft

So, the radius (r) = 8 ft

To find the height (h) of the cone.

Formula

By Pythagoras theorem,

Perpendicular²+ base² = height²

Now,

Height² = 17²+8²

= 289+64

= 353

h = $\sqrt{353}$ - 18.7888 = 18.79 (approx)

Hence,

The height of the cone is 18.79 ft.

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If 3n=3a-6,which inequality below will make n a positive number?

kicyunya [14]

If 3n=3a-6 than the answer is B

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3 years ago

Suzanne bakes 350 cookies in 5 hours, and cole bakes 400 cookies in 8 hours Part A: what are the unit rates at which suzanne and

mrs_skeptik [129]

Answer:

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3 years ago

The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….

Dominik [7]

Answer:

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

Step-by-step explanation:

Given

$(x_1,y_1,z_1) = (1,3,-2)$

$(x_2,y_2,z_2) = (4,5,0)$

$(x_3,y_3,z_3) = (6,3,9)$

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

$C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))$

Substitute values of x and y in the given equation

$C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))$

$C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))$

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

The above is the coordinate of the centroid

8 0

3 years ago

450 g in the ratio 2:13

jonny [76]

450 g in 2:13

Total proportion asked for =2+13=15

Now comparing g with ratio, or whatever

450/15=30g $\implies$ Therefore 1 in ratio depicts of 30g

So final answer = $\boxed{60g : 390g}$

$\huge\mathfrak\colorbox{white}{}$

More to know, daily bit of knowledge: The Binomial Theorem:

$\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}$

3 0

3 years ago

Which of the following represents the prime factortzation of 72?

rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

2 x 36

2 x 2 x 18

2 x 2 x 2 x 9

2 x 2 x 2 x 3 x 3

So;

The prime factorization is 2³ x 3²

8 0

3 years ago