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nordsb [41]
3 years ago
7

If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle,

accident investigators can estimate the speed of the car. To find the radius, accident investigators choose points A and B on the tire marks. Then, the investigators find the midpoint C of AB¯¯¯¯¯¯¯¯. Use the diagram to find the radius r of the circle. Round your answer to the nearest tenth.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

155.7

Step-by-step explanation:

Use what you know.

Segment AC is 130 ft

Segment CD is 70ft

If you use the Pythagorean Theorem, in this case being  =  +

To find segment CE, you would do r-70

So,  =  +

= 16,900 +  -140r + 4900

Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together

You'll end up with 140r = 21,800

Divide 140 on each side.

Your final answer will be 155.7 (rounded to the nearest tenth)

You might be interested in
In triangle $ABC,$ $AB = BC = 17$ and $AC = 16.$ Find the circumradius of triangle $ABC.$
sweet-ann [11.9K]

Answer:

R = 9.63\ units

Step-by-step explanation:

Given

AB = BC = 17

AC = 16

Required

Determine the circumradius, R

The circumradius is calculated as follows;

R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}

Substitute the values of AB, BC and AC

R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}

Evaluate the denominator

R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}

R = \frac{4624}{\sqrt{230400}}

Take square root of 230400

R = \frac{4624}{480}

R = 9.63\ units <em>(Approximated)</em>

<em>Hence, the circumradius is 9.63</em>

6 0
4 years ago
Haley is printing admission tickets for her school dance. So far, she has printed 112 tickets. She knows that she needs to print
crimeas [40]

Answer:

Haley needs to print 65% of the tickets.

Step-by-step explanation:

Given that:

Tickets printed by Haley = 112

Tickets needed to print = 320

Tickets left to print = 320-112 = 208

Percent of tickets left to print = \frac{Tickets\ left\ to\ print}{Total\ tickets}*100

Percent of tickets left to print = \frac{208}{320}*100

Percent of tickets left to print = 0.65*100

Percent of tickets left to print = 65%

Hence,

Haley needs to print 65% of the tickets.

5 0
3 years ago
What is the product of 62.5 and 100
RoseWind [281]

Answer:

6250

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second
Nesterboy [21]

Answer:  30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

  • Pumpkin A = 124 oz
  • Pumpkin B = 164 oz
  • Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

--------------

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0
3 years ago
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Luba_88 [7]

Answer:

The sequence <u>is</u> geometric and the common ratio is 2

Step-by-step explanation:

A sequence is geometric if each term  (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.

Examples:  1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.

                 Also, -->  4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because

4 * 1/2 =  the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.

In this case, 3 * 2 = 6

                    6 * 2 = 12

                    12 * 2 = 24

The sequence <u>is</u> geometric and the common ratio is 2

6 0
3 years ago
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