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4vir4ik [10]
2 years ago
10

Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to th

e field. How far is the softball field from Shay’s home? Pythagorean Theorem
Mathematics
2 answers:
gogolik [260]2 years ago
6 0

Answer:

7.21 blks

Step-by-step explanation:

Pythag theorem

a^2  + b^2 = c^2

6^2 + 4^2 = c^2

52 = c^2

c = sqrt 52 = 7.21 blcks

Radda [10]2 years ago
4 0

Answer:

7

Step-by-step explanation:

(a squared) plus (b squared) equals (c squared)

(6 squared) plus (4 squared) equals (c squared)

36+16=c squared

c equals 7

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3 years ago
I need an accurate answer please
kotykmax [81]

x = –6

Solution:

Given expression is \sqrt[3]{x-2}+5=3.

Step 1: Isolate the radical by subtracting 5 from both sides of the equation.

\Rightarrow\sqrt[3]{x-2}+5-5=3-5

\Rightarrow\sqrt[3]{x-2}=-2

Step 2: Cube both sides of the equation to remove the cube root.

\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3

Cube and cube root get canceled in left side of the equation.

\Rightarrow\ x-2=-8

Step 3: To solve for x.

Add 2 on both sides of the equation.

\Rightarrow\ x-2+2=-8+2

\Rightarrow\ x=-6

Hence the solution is x = –6.

6 0
3 years ago
The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th
AlexFokin [52]

Answer:

The volume of the cylinder is 900 cubic inches

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Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

V_1 = 300in^3

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

V_1 = \frac{1}{3}\pi r^2h

The volume of a cylinder is calculated as:

V_2 = \pi r^2h

Since, the cone and cylinder have the same dimensions, we can substitute \pi r^2h for V_2 in V_1 = \frac{1}{3}\pi r^2h

So, we have:

V_1 = \frac{1}{3} * V_2

Multiply both sides by 3

3 * V_1 = \frac{1}{3} * V_2 * 3

3 * V_1 = V_2

V_2 = 3 * V_1

Substitute 300in^3 for V_1

V_2 = 3 * 300in^3

V_2 = 900in^3

<em>Hence, the volume of the cylinder is 900 cubic inches</em>

6 0
3 years ago
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