I used 8 bags of sand for 12m squared . How much will I need for 15m squared?

Answers

Answer 1
Answer: 12m divided by 8 bags = 1.5 bags per m

So 1.5 bags times 15m = 22.5 bags o'sand

Answer 2
Answer: 12 divided by 8 = 1.5

15 divided by 1.5 = 10

the answer is 10 





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What is the greatest number of acute angles that a triangle can contain?

Answers

Answer:

The greatest number of acute angle a triangle can contain are:

3

Step-by-step explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3.

3 because you can have a 60 60 60 triangle

What is 68,642 rounded to the nearest thousand?

Answers

68,642 rounded to the nearest thousand is 69,000.

It's because 68,642 is closer to 69,000 than to 68,000.

I hope it will help you and give a clue for rounding numbers in the future ;)
The rule of rounding numbers up is if it's 5 or up, round it.  Since your number is 68,642, it would round to 69,000.  Because the 6 in the hundreds place is greater than 5.

The doubling time of a population of grasshoppers is 10 days. By what factor does the population of grasshoppers grow in 35 days?

Answers

so in 10 days the grasshopper (x) is doubled (2x)
20 days it is 2(2x) or 4x
30 days it is 2(4x) or 8x
in 35 days it is 1/2 of 10 so 1/2 times 2 times 8x=8x

it increased by a factor of 8

The correct answer is:

11.3

Explanation:

In 10 days, the population x would double, becoming 2x.

Every 10 days after, the population would double again. This means at 20 days, the population would be 2(2x) = 4x, and at 30 days, the population would be 2(4x) = 2(2(2x)) = 8x.

Writing the repeated multiplication out, we see that this can be represented with exponents. 10 days would be 2¹(x); 20 days would be 2²(x); 30 days would be 2³(x).

5 days would not be adding a whole number to the exponent, as it is only half of the time it takes to double. This means we would add 0.5 to the exponent; this would make 35 days

2^(3.5)(x), which comes out to 11.3x. This means it increases by a factor of 11.3 in 35 days.

You want to invest$10,000 dollars. How long will it take to double your investment at an annual
interest rate of 10%, compounded continuously? (Round your answer to the
nearest year)
Using equation A=Pe^rt
^=exponent

Answers

using the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1
 2  = e^0.1t
log 2  =    log e^0.1t               >     log to the base e
log 2  =  0.1t * 1              log e to the base e  =1
0.6931 = 0.1t
t =   6.931
   =    7 years

In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?​

Answers

Answer:

a^2+b^2=c^2

a^2+9=25(5*5)

therefore ,a^2=25-9=16

√16=4

   sides are 4 cm,3 cm,5 cm

Step-by-step explanation:

4.

Step-by-step explanation:

Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.

AC²=AB²+BC²

Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.

Given:-

AC=5,AB=3,BC=?

Use Pythagoras theorem formula

AC²=AB²+BC²

5²=3²+BC²

25=9+BC²

25-9=BC²

16=BC²

16=BC

BC=4.

Y=8 when x=20 find y when x= 30

Answers

Answer:

y=13

Step-by-step explanation:

if x=20 when y=8 (we can creat equation )

x=2y+4 (you can prove that the equation is correct by substitute )

so the question is if x=30 find the value of y

30=2y+4

30‒4=2y

26=2y

26/2=2y/2

13=y

i hope this helps you