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harkovskaia [24]
3 years ago
12

A cone with diameter 20 cm and a height of 20 cm. Find the volume of the cone rounded to the nearest tenth.

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

Answer:

2094.4 cm³

Step-by-step explanation:

The volume of a cone =πr²h/3

Where

r = radius = Diameter/2

Diameter = 20cm, radius = 20cm/2 = 10cm

Height = 20cm

Volume of a cone = π × 10² × 20/3

Volume of a cone = 2094.3951 cm³

Approximately to the nearest tenth = 2094.4 cm³

Therefore , the volume of a cone = 2094.4 cm³

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Area of a triangle with verticals of (-4,1),(-7,5),(0,1)
Lynna [10]

Answer:

8 ft^2

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

A=\frac{1}{2}bh

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

AC=\sqrt{(0-(-4))^2+(1-1)^2}=4

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

h=(5-1)=4 ft

Therefore, the area of the triangle is:

A=\frac{1}{2}(4)(4)=8 ft^2

7 0
3 years ago
How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0
3 years ago
Read 2 more answers
What is standard form of y=2/5x - 3?
vlabodo [156]

Answer:

Bring 3x to the left: −3x + y = 2. Multiply all by −1: 3x − y = −2. Note: A = 3, B = −1, C = −2. This form: Ax + By + C = 0. is sometimes called "Standard Form", but is more properly called the "General Form".

Step-by-step explanation:

dat is only exsample so i thingk i help u

3 0
3 years ago
Please help me as soon as posable!! In hurry!!(24 points)
attashe74 [19]

The sequence is geometric, so

a_n = r a_{n-1}

for some constant r. From this rule, it follows that

a_3 = r a_2 \implies 20 = 2r \implies r = 10

and we can determine the first term to be

a_2 = r a_1 \implies 2 = 10 a_1 \implies a_1 = \dfrac15

Now, by substitution we have

a_n = r a_{n-1} = r^2 a_{n-2} = r^3 a_{n-3} = \cdots

and so on down to (D)

a_n = r^{n-1} a_1 = 10^{n-1} \cdot \dfrac15

(notice how the exponent on r and the subscript on a add up to n)

4 0
2 years ago
If 2n = 54/9 then n = ______
Fantom [35]

Answer:

1). 3

2). 6

3). 9

Step-by-step explanation:

ksjsjsjsjs

8 0
3 years ago
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