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Hitman42 [59]
2 years ago
12

A skateboarding ramp is 12 in. high and rises at an angle of 21​°. How long is the base of the​ ramp? Round to the nearest inch.

Mathematics
1 answer:
bagirrra123 [75]2 years ago
3 0

Answer:

the base of the ramp is 31 inches long.

Step-by-step explanation:

c = a/sin(α)

= 33.48514

b = √c2 - a2

= √33.4851373155042 - 122

= √977.25442103816

= 31.26107

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At work, Jack must stuff 1000 envelopes with advertisements. He can stuff 12 envelopes in one minute, and he has 112 envelopes a
Vsevolod [243]

Answer:

It will take Jack 74 minutes(1 hour and 14 minutes) to complete the task

Step-by-step explanation:

From the question, we know that he has 1000 envelopes to stuff.

Now, he has already stuffed 112 out of the 1000. Number of envelopes left to be stuffed will be 1000 -112 = 888 envelops

We were told that it takes him 1 minute to stuff 12 envelopes.

Let the time it will take him to stuff 888 envelopes be x minutes;

Let’s have a relationship here;

12 envelopes = 1 minute

888 envelopes = x minutes

12 * x = 888 * 1

12x = 888

x = 888/12

x = 74 minutes

4 0
2 years ago
Kevin goes fishing every Saturday. The table below shows the number of fish he caught each week for the last six weeks.
Travka [436]
I believe the answer is C
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2 years ago
3<br> Solve for x.<br> X =<br> 8<br> 20<br> 35
Lady_Fox [76]

Answer:

x=00

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6 0
3 years ago
What is the length of side BC?​
scoray [572]

Answer:The sides opposite to equal angle are equal. i.e. Now the length of side of BC is: 5x=5×3=15 units. Length of BC=15 units.

Step-by-step explanation::The sides opposite to equal angle are equal. i.e. Now the length of side of BC

6 0
2 years ago
suppose the population of a small town is 19000 and growing exponentially at 2.3%. how many years until the population until the
Setler [38]

Answer:

14 years

Step-by-step explanation:

Using the general growth formula

F=P(1+r/100)^{n} where F is future population, P is present population, n is years and r is rate in percentage.

Substituting 26000 for future population F, 19000 for present population P and 2.3% for rate

26000=19000(1+2.3/100)^{n}

(1+0.023)^{n}=\frac {26000}{19000}

1.023^{n}=\frac {26000}{19000}

Introducing natural logarithms on both sides

n ln 1.023=ln(\frac {26000}{19000})[/tex]

n=(ln 26/19)/(ln 1.023)=13.79351958  years

Rounding off, n=14 years

6 0
3 years ago
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