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777dan777 [17]
3 years ago
5

The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

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The length of a rectangle is 3ft more than twice the width, and the area of the rectangle is 54ft^2. Find the dimensions of the
777dan777 [17]

Answer: Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2 and x = -6

x = 4.5 and x = -6

We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Step-by-step explanation:

4 0
3 years ago
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One number is 1/2 of another the sum of the number is 72 find the numbers
Anton [14]
The answer for the question is 36 , 36
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3 years ago
It’s not a or c help
Luden [163]

Answer:

D if i'm wrong i'm so sorry

Step-by-step explanation:

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3 years ago
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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0
3 years ago
In ΔBCD, \overline{BD}
Alex787 [66]

Answer:

30degrees

Step-by-step explanation:

Given

Exterior angle m<CDE = 7x - 19 degrees

interior angles are

m<BCD = 2x - 1

m<DBC = x+10

Since the sum of the interior angles is equal to the exterior, hence;

2x - 1 + x+10 = 7x - 19

3x + 9 = 7x - 19

3x - 7x = -19 - 9

-4x = -28

x = 28/4

x = 7

Get m<CDE

m<CDE = 7x - 19

m<CDE = 7(7) - 19

m<CDE = 49 - 19

m<CDE = 30degrees

4 0
2 years ago
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