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s344n2d4d5 [400]
3 years ago
6

Find the distance from the point (4,2) to the point (0,1).

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

4.123 units

Step-by-step explanation:

Data provided:

Coordinates of point 1 as ( 4 , 2)

and,

Coordinates of point 2 as ( 0 , 1 )

Now,

The distance between the two point whose coordinates are given is calculated using the formula as:

distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

on substituting the values, we get

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

or

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

or

distance = \sqrt{16+1}

or

Distance = √17 = 4.123 units

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The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square fee
Salsk061 [2.6K]

The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.

<h3>What is the volume of the sphere?</h3>

The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.

Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.

The volume of the dome will be calculated as below:-

SA = 13.924π

2πr² = 13.92π

r = √6.96

r = 2.63 feet

Volume = 2 / 3 πr³

Volume = ( 2 / 3 ) π ( 2.63)³

Volume = 12.24π cubic feet

Therefore, the volume of the spherical dome will be 12.9π cubic feet.

To know more about volume follow

brainly.com/question/24247548

#SPJ1

7 0
1 year ago
Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
vazorg [7]

Answer:

Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle

Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)

LA = 15m² + 216m² + 108m²

LA = 339 m²

SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

SA = 15m² + 216m² + 108m² + 180 m²

SA = 519 m²

3 0
3 years ago
I need help with math please
ASHA 777 [7]

Answer:

greater than cb and less than ab ig

7 0
3 years ago
What is the slope of the line that contains these points?
solmaris [256]

Answer:

-4

Step-by-step explanation:

7 0
3 years ago
What is the measure of angle A please HELP I’ll give you BRAINLIEST
k0ka [10]

Answer:

Option (3)

Step-by-step explanation:

By applying cosine rule in the triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cosA

5² = 3² + 7²- 2(3)(7)cosA

25 = 9 + 49 - 42cos(A)

25 = 58 - 42cos(A)

cos(A) = \frac{33}{42}

A = \text{cos}^{-1}\frac{11}{14}

A = 38.21°

A ≈ 38°

Option (3) will be the correct option.

8 0
3 years ago
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