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PIT_PIT [208]
3 years ago
12

The Pomerantz Family have a small rectangular pond in their flower garden. The pond is 6 feet long and 4 feet wide. If the water

in the pond is 2 feet deep, what is the volume of the water?
Mathematics
1 answer:
Allisa [31]3 years ago
7 0
Volume of the water= long  x  width  x  deep

Data:
long=6 ft
width=4 ft
deep=2 ft

volume of the water: =6 ft * 4 ft * 2 ft=48 ft³

answer: 48 ft³ is the volume of the water.
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Select the two binomials that are factors of this trinomial.
mojhsa [17]

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)


1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the x^2 term at the front of the trinomial), we find the binomials:

x+ 2 and x + 4


The answer is x + 2 and x + 4.

5 0
3 years ago
Read 2 more answers
Whats the square root of 45
Nady [450]

Answer:

6.71

Step-by-step explanation:

6.7082039325

Round it.

6.71

6 0
2 years ago
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free thro
mina [271]

Answer:C

Step-by-step explanation:

5 0
3 years ago
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
Jamar's teacher told him that one of the reasons he gave on the proof below was incorrect. Which reason did he make the mistake
Kamila [148]

Answer:

Reason given in step 2. is incorrect. It should read; "Distributive Property."

Step-by-step explanation:

The reason given to go from :

2 (3x +4) = 56  to 6x + 8 = 56

is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.

8 0
3 years ago
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