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bazaltina [42]
3 years ago
5

Alison is jogging on a circular track that has a radius of 140ft. The runs along the track from point R to point N (Major arc),

a distance of 230ft. Find to the nearest degree the measure of minor arc RN

Mathematics
1 answer:
Helga [31]3 years ago
3 0

Answer:

The value of angle of arc RN \theta = 94.17 °

Step-by-step explanation:

Radius of the arc = 140 ft

Length of the arc = 230 ft

The angle of arc is given by the formula

\theta = \frac{arc length}{radius }

\theta = \frac{230}{140}

\theta = 1.642 \ radian

\theta = 1.642 \frac{180}{\pi}

\theta = 94.17 °

This is the value of angle of arc RN.

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Part A
labwork [276]

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:

i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles

ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles

iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.

In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.

So that;

The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = \frac{3}{2}

  = 1.5

The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

            = 6

The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.

And,

5y = 5(1.5)

    = 7.5

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0
2 years ago
Check all apply 2|3x+2|-9=5
slava [35]
The answer is X=3 or x=5/3
3 0
3 years ago
What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}
rosijanka [135]

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

7 0
3 years ago
Read 2 more answers
Can somebody help me with this?
Juli2301 [7.4K]

Answer:

E) 1/2

Step-by-step explanation:

This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.

First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: a^{2} + b^2 =c^2

Let's plug in our a and b values

5^2 + 12^2 = C^2

Simplify

144 + 25 = c^2

169 = c^2

Square both sides

c = 13

But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.

12x + 14x = 13

Simplify

26x = 13

Divide by 26

Answer is 1/2

6 0
4 years ago
3. You purchase a car using a $20,000 loan with a 5% simple interest rate.
finlep [7]
(a) 20,000 × 5/100 × 4 = $4000( interest)



(b) 20000 × 5/100 × 2 = $2000 (interest)


How much do you save = $4000 - $2000 = $2000

6 0
4 years ago
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