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storchak [24]
3 years ago
15

63/4 as a mixed number

Mathematics
1 answer:
wel3 years ago
6 0
To find the answer, all you've got to do is divide 63 by 4. This will result in the mixed number: 15 3/4
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Afina-wow [57]
If you estimate, its around 5
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The what of a term is its numerical factor
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A numerical factor<span> of a </span>term<span> is any number that can be factored out of the coefficient.</span>
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3 years ago
Need help simple explanation if possible
photoshop1234 [79]

Answer:

m < A = 60º

m < B = 30º

Step-by-step explanation:

The given sides on this triangle are: 6, 6\sqrt{3}, and 12

Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:

x, x\sqrt{3}, 2x

We can line this up with the given sides. If x is 6, then 2x would be 12.

x : x\sqrt{3} : 2x = 6 : 6\sqrt{3} : 12

Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.

m < B = 30º

Solving for < A:

Method 1) Sum of Angles in a Triangle

Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.

180º - 90º - 30º = 60º

m < A = 60º

Method 2) Using the second part of the proportion

Since m < A is across from the second largest side, we know that it is equal to x\sqrt{3} (6\sqrt{3} in this question) or 60º in the angle proportion.

This means that m < A = 60º

Let me know if you have any questions!

4 0
2 years ago
Read 2 more answers
The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
A man can take a same time to row 13km downstream and 7km upstream.His speed in still water is 5km/hr.The speed of stream is
vekshin1

Answer:

0.6 km/hr

Step-by-step explanation:

Speed downstream: 13/5= 2.6 km/hr

Speed upstream: 7/5= 1.4 km/hr

Therefore, Velocity of current is: 1/2 (2.6-1.4) km/hr = 1/2(1.2) km/hr

8 0
2 years ago
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