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kati45 [8]
3 years ago
10

The height of a cone is twice the radius of its base.

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

The correct answer is option 1. \frac{2}{3} \pi x^3 cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

V = \dfrac{1}{3} \pi r^{2} h ...... (1)

Where, \pi = 3.14

r is the radius of the circular base of the cone.

h is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = x units

Now, As per the question statement,

The height of cone= 2 \times x units

Putting the values of r, h in equation (1) to find the volume:

\Rightarrow \dfrac{1}{3} \times \pi \times x^{2} \times 2x\\\Rightarrow \dfrac{2}{3}\pi x^{3}

Hence, the correct answer is option 1. \dfrac{2}{3}\pi x^{3} cubic units.

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A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape
nata0808 [166]

Answer:

y = -¼│x − 5│+ 3

Step-by-step explanation:

y = a│x − h│+ k

(h, k) is the vertex of the absolute value graph.  In this case, it's (5, 3).

y = a│x − 5│+ 3

One point on the graph is (1, 2).  Plug in to find the value of a.

2 = a│1 − 5│+ 3

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Therefore, the graph is:

y = -¼│x − 5│+ 3

4 0
3 years ago
A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What
vladimir2022 [97]

Answer:

The perimeter of the triangle is 12\ units

Step-by-step explanation:

Let

A(-3,1),B(1,1),C(1,-2)

we know that

The perimeter of triangle is equal to

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

A(-3,1),B(1,1)

substitute in the formula

AB=\sqrt{(1-1)^{2}+(1+3)^{2}}

AB=\sqrt{(0)^{2}+(4)^{2}}

AB=4\ units

step 2

Find the distance BC

B(1,1),C(1,-2)

substitute in the formula

BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}

BC=\sqrt{(-3)^{2}+(0)^{2}}

BC=3\ units

step 3

Find the distance AC

A(-3,1),C(1,-2)

substitute in the formula

AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}

AC=\sqrt{(-3)^{2}+(4)^{2}}

AC=5\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=4+3+5=12\ units

6 0
3 years ago
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Vilka [71]

Answer:

x=60

Step-by-step explanation:

right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees

4 0
2 years ago
Read 2 more answers
ΔDOG has coordinates D (3, 2), O (2, −4) and G (−1, −1). A translation maps point D to D' (2, 4). Find the coordinates of O' and
geniusboy [140]

Answer:

see explanation

Step-by-step explanation:

Given D(3, 2 ) → D'(2, 4 )

The x- coordinate of D' is 1 less than D and the y- coordinate of D' is 2 more than D, thus the translation rule is

(x, y ) → (x - 1, y + 2 )

Apply this rule to points O and G

O( 2, - 4 ) → O'(2 - 1, - 4 + 2 ) → O'(1, - 2 )

G(- 1, - 1 ) → G'(- 1 - 1, - 1 + 2 ) → G'(- 2, 1 )

6 0
3 years ago
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