You are finding the total distance of a road trip by measuring the distance on a map. On the map the distance between 3 towns measure 2 7/16 inch, 1 5/8 inch, and 3 3/4 inch, repectively. What is the total distance of the trip on the map?

Answer:

$15

Step-by-step explanation:

6 divided by 2 is 3

3 multiplied by 5 is 15

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Explanation:

Check out the diagram below.

Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).

sin(angle) = opposite/hypotenuse

sin(5) = 1732/x

x*sin(5) = 1732

x = 1732/sin(5)

x = 19,872.4713415001 approximately

x = 19,872.5

It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.

19,872.5 ft = (19,872.5)/5280 = 3.7637 miles

That then rounds to the final answer of 3.8 miles (choice B).

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Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x

sin(5) = 0.328/x

it should lead you to x = 3.8 miles

Answer:

1 year= 60

2 year= 72

Step-by-step explanation:

1 year:

There are 50 otters and they grow at a rate of .2 so you multiply 50 by .2 to get 10. Now you just add 50 to 10 because 50 is how much it started as and 10 is how much were born. So the anwser for 1 year is 60.

2 years:

Now you have a start of 60 otters because it is the second year so you multiple 60 by .2 to get 12. Now you add 12 to 60 because the second year started with 60 and 12 were born. SO the anwser is 72.

I hope this helps!

Answer:

90,000

Step-by-step explanation:

Answer:

$233.82

Step-by-step explanation:

$12.99 a ball times 18 players (12.99x18) equals 233.82$

Answer:

x2+2x−35=0

Step 1: Factor left side of equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Step-by-step explanation:

Answer:

50$$$

Step-by-step explanation:

(she has the same name as me lol)

Chloe has to pay 40$

5% of 40 is 2

20% of 40 is 8

Add the extra money together

2+8=10

Add original price

40+10=50

You get 50$ for the final price

[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]

The units of [tex]r'(t)[/tex] are gallons per square hour.

Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.

As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.

Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.

To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167

Answer:

10.5 degrees Celsius

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation:

This is because 3x4.5=13.5

m = (Y2 - Y1)/(X2 - X1)

m = (7 - (-6))/(-11 - 17)

m = (7 + 6)/(-28)

m = 13/(-28) = -(13/28)

Answer:

23 hgrghhgfggggggghhhhh

Answer:

I looked at all those numbers and they all say d=0

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{10}x +9[/tex]

Step-by-step explanation:

y = mx + b

where m is slope (1/10)

c is y intercept (9)

Answer:

a)since x=5

x²= 5×5

=25

b)(x+3)²

x=5

5+3=8

8²=8×8

=64

Soo :

a) x² = 5² = 5•5 = 25

b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64

Answer:

Step-by-step explanation:

Given,

Number of words Lucy can type in 5 minutes

= 300 words

So,

Number of words Lucy can type in 1 minute

[tex] = \frac{300}{5} \: words[/tex]

= 60 words

Therefore,

Number of words Lucy can type in 27 minutes

= (60 × 27) words

= 1,620 words

Hence, Lucy can type 1620 words in 27 minutes.

Answer:

Slope: 2/3

Step-by-step explanation:

Answer:

  C.  19.50 lbs

Step-by-step explanation:

3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.

It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.

__

We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...

  w/39 = 24/48 . . . . . weight in pounds/length in inches

  w = 39(24/48) = 39/2 = 19.5

The weight of the shorter bar is 19.5 pounds.

Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

The value of 6b-8(46 - 9) + 3b is 9b - 296.

The equation given is 6b-8(46 - 9) + 3b, the calculation will go thus:

= 6b-8 (46 - 9) + 3b

= 6b-8 (46 - 9) + 3b

= 6b - 8(37) + 3b

= 6b - 296 + 3b

= 6b + 3b - 296

= 9b - 296

Answer: 9b-296

Step-by-step explanation:

Subtract the numbers 6−8 (46−9)+3 6−8(37)+3 2

Multiply the numbers 6−8⋅37+3 6−296+3

Combine like terms 6b−296+3b

Ur answer

9b−296

Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

Answer:

10,5

Step-by-step explanation:

After a dilation of 5, it should become 10 and 5 because it was 2,1 before.

The outcomes are

Total Outcomes=3×3=9

Answer:

100J

Step-by-step explanation:

work done = force x distance

                  = 200 x 0.5

                  = 100J

Answer:The  missing information to answer the question: "How many shows can a family see if they have a limited budget?" is the amount of the family budget.

Let's suppose that we know that information and one family has $100. If each visit costs $25 dollars, the family can see:

100/25 =4 shows

So if we do not have this info, we are not going to be able to solve the problem. The correct answer is the letter D!

Step-by-step explanation:

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = [tex]\sqrt{42.25}[/tex] = 6.5 units

Answer:

Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.

Step-by-step explanation:

Hope This Helps!!!