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inysia [295]
3 years ago
15

A circular garden has a circumference of 138 yards. Lars is digging a straight line along a diameter of the garden at a rate of

11 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
6 0

Answer:

  • 4 hours

Step-by-step explanation:

<u>Circumference formula:</u>

  • C = πd

<u>Use the given value and find the diameter:</u>

  • 138 = 3.14d
  • r = 138/3.14
  • r = 43.94 ≈ 44 yards

<u>Time required to dig across the garden:</u>

  • 44/11 = 4 hours
victus00 [196]3 years ago
6 0

Answer:

4 hours

Explanation:

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Write the equation of a line in slope intercept form that contains the points (3,-5) and (-3,-3)
ASHA 777 [7]

Answer:

y = -1/3x - 4

Step-by-step explanation:

slope is change in y over the change in x

-3 + 5 = 2

-3 - 3 = -6

slope is -2/6 or -1/3

y+3 = -1/3 (x + 3)

y + 3 = -1/3x -1

y = -1/3x - 4

4 0
3 years ago
Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda. If cranberry juice costs $3.60 per bottl
belka [17]

Answer:

Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.

Step-by-step explanation:

Since Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda, if cranberry juice costs $ 3.60 per bottle and lemon-lime soda costs $ 1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, to determine at most how many bottles of cranberry juice can he buy if he only has $ 38.40 the following calculation must be performed:

20 x 1.40 + 10 x 3.60 = 64

10 x 1.40 + 5 x 3.60 = 32

12 x 1.40 + 6 x 3.60 = 38.40

Therefore, Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.

6 0
3 years ago
The ratio of female learners to male learners in a class is 3:2. If there are 30 female learners in the class, work out:
saul85 [17]

Answer:

20 male learners
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Step-by-step explanation:

(See attachment below)

3 0
3 years ago
Use the laws of sine and cosine to find the missing Dimension part 3
BigorU [14]

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

5 0
3 years ago
Read 2 more answers
Which<br> of the following is the least?<br> A.0.105<br> B.0.501<br> c.o.015<br> D.0.15
SCORPION-xisa [38]
Is C 0.015? If so, then C, because if you imagine all of the numbers to the right as whole numbers, you get, in order from least to greatest, c, a, d, b. C is the answer. 
8 0
4 years ago
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