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Veseljchak [2.6K]

3 years ago

6

Determine the length of a chord whose central angle is 150° in a circle with a radius of 223 centimeters. Question 12 options: 1

) 107.70 centimeters 2) 215.40 centimeters 3) 446 centimeters 4) 430.80 centimeters

1 answer:

faltersainse [42]3 years ago

3 0

Answer:

4) 430.8 centimiters

Step-by-step explanation:

You might be interested in

(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for <em>z</em> in terms of <em>x</em> and <em>y </em>; then solve for <em>y</em> in terms of <em>x</em> ; then again for <em>z</em> but only in terms of <em>x</em>.

-4<em>x</em> + 2<em>y</em> - <em>z</em> = 1 ==> <em>z</em> = -4<em>x</em> + 2<em>y</em> - 1

3<em>x</em> - 2<em>y</em> + 2<em>z</em> = 1 ==> <em>z</em> = (1 - 3<em>x</em> + 2<em>y</em>)/2

==> -4<em>x</em> + 2<em>y</em> - 1 = (1 - 3<em>x</em> + 2<em>y</em>)/2

==> -8<em>x</em> + 4<em>y</em> - 2 = 1 - 3<em>x</em> + 2<em>y</em>

==> -5<em>x</em> + 2<em>y</em> = 3

==> <em>y</em> = (3 + 5<em>x</em>)/2

==> <em>z</em> = -4<em>x</em> + 2 (3 + 5<em>x</em>)/2 - 1 = <em>x</em> + 2

So if we take <em>x</em> = <em>t</em>, the line of intersection is parameterized by

<em>r</em><em>(t)</em> = ⟨<em>t</em>, (3 + 5<em>t</em> )/2, 2 + <em>t</em>⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

(a) The tangent vector to <em>r</em><em>(t)</em> is parallel to this line, so you can use

<em>v</em> = d<em>r</em>/d<em>t</em> = d/d<em>t</em> ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in <em>x</em> = -1, <em>y</em> = 1, and <em>z</em> = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

3 0

3 years ago

Liz wants to buy a new cell phone. If she buys one now, it will cost $462.00. If Liz waits until her contract is over, she can u

lara31 [8.8K]

Answer:

she would save $47 if she waited.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with g

emmasim [6.3K]

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = $\dfrac{25}{2}=12.5\ ft$

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = $\pi r^2$

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = $(3.14)(12.5)^2=490.625\ \text{ft}^2$

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

4 0

3 years ago

Correct answers only please!

Anika [276]

Step-by-step explanation:

Using the given formula

I = P × R × t

I = 20 × 5/100 × 2

I = $2

6 0

3 years ago

Z=a/b+c/d solve for D

vodka [1.7K]

Answer:

d=

$\frac{cb}{Zb-a}$

hope this helps

8 0

3 years ago