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natta225 [31]
4 years ago
6

What is the volume in cubic inches of the concrete used to create this stairway?

Mathematics
1 answer:
BARSIC [14]4 years ago
5 0

the answer is 192   i did this test and  got 192                                                                                                          

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Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
3 years ago
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre
Varvara68 [4.7K]

<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.  

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

=x-\frac{38}{100} \times x

=\frac{100 x-38 x}{100}

=\frac{62 x}{100}=\frac{31 x}{50}

So current population is \frac{31 x}{50}

Equating above expression to the given value of current population, we get

\frac{31 x}{50}=27900

x=\frac{27900 \times 50}{31}

x=45000

Hence previous population of city was 45000.

7 0
3 years ago
Wbt do i multiply 7 by to get 21 or the first number they both have the same?
zzz [600]
7*3=21....The first number they would both share would be 7
3 0
3 years ago
thomas want to save money for a vacation. Thomas invest $1,300 in account that pays an interest rate of 6.25% how many years wil
Harrizon [31]

Answer:

  44.2 years

Step-by-step explanation:

If we assume the interest is compounded annually and the investment is a one-time deposit into the account, its value each year is multiplied by 1+6.25% = 1.0625. After n years, the value in the account will be ...

  19000 = 1300·1.0625^n

Dividing by 1300 and taking logs, we have ...

  log(19000/1300) = n·log(1.0625)

  log(190/13)/log(1.0625) = n ≈ 44.24 . . . .  years

It will take about 44.2 years for the account to reach $19,000.

5 0
3 years ago
Read 2 more answers
How many 5/8s are in 3
In-s [12.5K]
Well, in 3 there are 24/8s.
That can fit four 5/8's in it with 4/8s left over.
So your answer is 4
8 0
3 years ago
Read 2 more answers
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