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Ann [662]
3 years ago
13

Plz help and show the work I need help with#1 and #2

Mathematics
1 answer:
AlekseyPX3 years ago
7 0
1. If two fathoms are 12 feet deep, we know that one fathom is six feet deep. multiply 6 by 10, and you'll get 60 feet deep.

2. When answering these kinds of questions, I recommend looking at an analog clock. When you count from 10:30 to 3:30, you see that Jessica babysat for five hours. $6.50 multiplied by five is $32.50.
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The square of a whole number 'n' lies between 80 and 150. Find all possible values for 'n'.
pychu [463]
The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

\sqrt{80} \approx 8.9 \\
\sqrt{150} \approx 12.2

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.

The possible values for n are 9, 10, 11, and 12.
5 0
3 years ago
Find an equation of the plane orthogonal to the line
jolli1 [7]

The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/d<em>t</em> (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩<em>t </em>) = ⟨7, -7, -6⟩

Then the plane that passes through the origin with this as its normal vector has equation

⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨<em>x</em> - 9, <em>y</em> - 6, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

7 (<em>x</em> - 9) - 7 (<em>y</em> - 6) - 6<em>z</em> = 0

7<em>x</em> - 63 - 7<em>y</em> + 42 - 6<em>z</em> = 0

7<em>x</em> - 7<em>y</em> - 6<em>z</em> = 21

so that

<em>a</em> = 7, <em>b</em> = -7, <em>c</em> = -6, and <em>d</em> = 21

4 0
3 years ago
A sphere has a diameter of 14.5 inches.
dlinn [17]

Answer:

≈ 660.5 in²

Step-by-step explanation:

The surface area (A) of a sphere is calculated using the formula

A = 4πr² ← r is the radius

Given diameter = 14. 5 then radius = 7.25, thus

A = 4π × 7.25² = 4π × 52.5625 ≈ 660.5 in²

4 0
3 years ago
How much are 10 australian dollars worth in Canadian dollars
cupoosta [38]

Answer: 8.94

Step-by-step explanation:

6 0
3 years ago
Need help what is greatest to least
frosja888 [35]

Answer:

The first one -11,-10,-7,-5

Step-by-step explanation:

hope this helps

8 0
3 years ago
Read 2 more answers
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