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Ulleksa [173]
2 years ago
10

Cheyenne and Jacob are geocaching. They are currently hiking on a main trail at a bearing of N 45° E. They determine that the ca

che should be about 1.5 miles off the trail at a bearing of N 17° E.
If they want to hike to a point 3 miles further along the main trail once they have located the cache, they will hike an additional .
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
7 0

Answer:

1.8 miles

Step-by-step explanation:

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Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum
irinina [24]
<h3><u>Radius as function of volume is:</u></h3>

r(v) = \sqrt{\frac{3v}{20 \pi }}\ inches

<em><u>Solution:</u></em>

<em><u>The volume of cone is given as</u></em>:

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

Where,

r is the radius

h is the height

From given,

height = 20 inches

From formula,

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

Rearrange , so that r is alone in left side of equation

3v = \pi r^2 h\\\\\pi r^2 h = 3v\\\\r^2 = \frac{3v}{\pi h}\\\\Take\ square\ root\ on\ both\ sides\\\\r = \sqrt{\frac{3v}{\pi h}}

Substitute h = 20

r = \sqrt{\frac{3v}{20 \pi }}

Thus, radius as function of volume is:

r(v) = \sqrt{\frac{3v}{20 \pi }}\ inches

4 0
2 years ago
Damian has a spinner. He spun the arrow 60 times and it landed on green 12 times.
professor190 [17]

Answer:

it would be 2

Step-by-step explanation:

what you do to find the probability is to divide so you divide 60 from 12 which automatically = 5 so then you divide 10 from 5 which gives you 2

6 0
1 year ago
Find the variance of 101, 102, 100, 100, 110, 109, 109, 108, 109
Andreyy89
101, 102, 100, 100, 110, 109, 109 ,108, 109 average to 105.3



subtracting the mean from each number yields the below-

-4,-3,-5,-5,5,4,4,3,4



Squaring each number gives-

16,9,25,25,16,16,9,16



The average of these numbers is 12.89 to two decimal places, so your variance is 12.89
6 0
1 year ago
The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam
Amiraneli [1.4K]

Answer:

The equation is:

        j/g=5/2

Or, what is equivalent:

        j=5g/2

Explanation:

This is the<em> table</em> that <em>shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe</em>:

                        Lemon juice (mL)       Sugar (g)

Batch A               500                            200

Batch B                750                            300

Batch C              1500                            600

You need to write an <em>equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g</em>.

Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.

  • Batch A: lemon juice / sugar = 500 / 200 = 5/2

  • Batch B: lemon juice / sugar = 750/300 = 5/2

  • Batch C:  lemon juice / sugar = 1500/600 = 5/2

Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

        j/g=5/2

Or, what is equivalent (solving for j):

        j=5g/2

3 0
1 year ago
The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4? m4 = 40° m4 = 48° m4 = 132° m4 = 140°
bezimeni [28]
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
 x = 12
so
m< 6 = </span>11x + 8 
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140

m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40

answer

<span>m<4 = 40</span>
7 0
2 years ago
Read 2 more answers
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