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3 years ago

12

The diameter of a face off circle on an ice hock rink is 30 feet what is the area

2 answers:

elixir [45]3 years ago

5 0

The area of a circe is π*r²
you are given that diameter=30 feet and the radius is half the diameter
so the area is
π*15² = 706.86 ft²

AnnyKZ [126]3 years ago

5 0

Answer: the area of a circe is π*r²

you are given that diameter=30 feet and the radius is half the diameter

so the area is

π*15² = 706.86 ft²

Step-by-step explanation:

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2 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

An equilateral triangle and an isosceles triangle share a common side. What is the measure of angle ABC?

o-na [289]

Answer:

Therefore ,the measure of angle ABC = 116°.

Step-by-step explanation:

Given:

Δ CBD is an Equilateral Triangle

BC = BD = CD

Δ ABD is an Isosceles Triangle

AB = BD

To Find:

m∠ ABC = ?

Solution:

Property For an Equilateral Triangle:

All the measure of Each of the angles angles of a triangle is 60°.

Δ CBD is an Equilateral Triangle ..........Given

∴ m∠ CBD = 60° ....................( 1 )

Property For an Isosceles Triangle:

Any two of the base angles are equal.

Δ ABD is an Isosceles Triangle ................Given

∴ m∠ BAD = m∠ BDA = 62° .....................( 2 )

Property of Triangle:

SUM of the measure of an angles of a triangle is 180°

In Δ BAD,

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Substituting the values from equation ( 2 ) in it we get

m∠ ABD + 62 + 62 = 180

∴ m∠ ABD = 180 -124

∴ m∠ ABD = 56° ................( 3 )

Now By angle addition property we have

m∠ ABC = m∠ ABD + m∠ CBD

Substituting the values from equation 1 and equation 3 we get

∴ m∠ ABC = 56 + 60

∴ m∠ ABC = 116°

Therefore ,the measure of angle ABC = 116°.

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3 years ago