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3 years ago

Find the missing dimension of each triangle described height 14 inches area 245 inches Square

1 answer:

4 0

Given:
Triangle
height 14 inches
area 245 inches square

Formula in finding the area of a triangle is:

Area = (height * base) / 2

The base is missing, so we need to compute its value using the given figures.

245 = (14 * b) / 2
245 * 2 = 14b
490 = 14b
490/14 = b
35 = b

The base is 35 inches.

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the lateral area of a right circular cone is 20pi cm^2 and the total area is 36pi cm^2 find the volume of the cone

Lady bird [3.3K]

Let r = radius, h = height and l = slant height

Lateral area = rlpi

But l = sqrt(r^2 + h^2)

Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1)

Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2)

Subtract (1) from (2)

r^2 pi = 16 pi

r^2 = 16

r = 4 cm

Put this value in (1) to find h

4sqrt(4^2 + h^2) pi = 20 pi

sqrt(16 + h^2) = 5

Square both sides

16 + h^2 = 25

h^2 = 9

h = 3 cm

Now that we know h and r we can find the volume

V = 1/3 pi r^2 h

= 1/3 pi (4^2)(3)

= 16 pi cm^3 .........( = 50.27 cm^3)

I hope my answer has come to your help. God bless and have a nice day ahead!

8 0

3 years ago

Read 2 more answers

Can u please help me?!?!

ivolga24 [154]

Answer:

Step-by-step explanation: yes

8 0

3 years ago

I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

_____________________________________

5 0

2 years ago

a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Mademuasel [1]

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

$\therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units$

6 0

4 years ago

What is the value in meters per second squared of the acceleration of gravity?

Lady bird [3.3K]

In real-life physics, acceleration due to gravity will change respect to altitude. Check out the attached image (source: Wikipedia).

However, in high-school physics, acceleration due to gravity is represented by the letter g, which has a value of 9.81 meters per second squared.

This means that an object being dropped straight down will be moving 9.81 meters per second faster than it was 1 second ago. I hope this helps! :)

7 0

3 years ago