Can someone show me how to find the product of 3square-root(4) * square-root(3)?
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3√4*√3=3*2*√3=6√3
Related Questions
Geometry help ASAP please! :)
Determine which ordered pair is a solution of y = –5x + 10. a. (–15, 5)b. (2, 0) c. (–1, –5) d. (3, 25)
. Find the values of the variables in ▱DEFG.
the cost of picture framing depends on the Outer Perimeter of the frame if a 15 inch by 15 inch picture frame cost $35 more than a 10 inch by 10 inch picture frame what is the cost of framing in dollars per inch?
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you put 6 in the place of x to get 6+3y=-21 then you must take 6 away from each side to get 3y= -27 then divide each side by 3 so -27 divided by 3 is -9. do this for all of them! hope it helped!
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Answer:
16.65 ft
Step-by-step explanation:
You want the length of the shortest ladder that will reach a building over an 8 ft high fence that is 4 ft from the building.
Similar triangles
As in the attached diagram, we can define the length of segment AX from the fence to the ladder base as 'x'. Then the length of the ladder to the top of the fence is found using the Pythagorean theorem to be ...
BX = √(x² +8²)
The remaining length of the ladder is the hypotenuse of a triangle similar to ∆BAX. The scale factor is DA/AX = 4/x, so the length of the remaining ladder is ...
CB = (4/x)BX = (4/x)√(x² +8²)
Ladder length
The total ladder length is the sum of its parts:
CX = CB +BX
CX = (4/x)√(x² +8²) +√(x² +8²)
CX = (1 +4/x)√(x² +8²)
Minimum length
The minimum length will be that associated with the value of x that makes the derivative of CX be zero. The second attachment shows the derivative of the total length function in terms of generic distances DA=d and BA=h. For this problem, where (d, h) = (4, 8), the derivative is ...
CX' = (1+4/x)x/√(x² +8²) -(4/x²)√(x² +8²)
Expressing this over a common denominator, we have ...
CX' = (x³ -4·8²)/(x²√(x²+8²))
This is zero when ...
x³ -4·8² = 0 ⇒ x = 4∛4 ≈ 6.3496
Total length
Using this value in the ladder length formula above, we find the length of the ladder to be ...
CX = (1 +4/6.3496)√(6.3496² +8²) ≈ 16.64775
The length of the shortest ladder is about 16.65 feet.
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Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
x = log 64 / log 4
how do i get the x-intercept and
y-intercept to this equation?
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Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.
Step-by-step explanation:
Given : The combined height of one fir tree and one pine tree = 21 meters.
Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree.
Then we get the following equations:
Adding (1) and (2) we get
Substitute the value of x in (1), we get
Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.
A 180
B 120
C 45
D 60
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Answer:
60° .
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Since angle 1 and angle three are on the same line they have to have complimentary angles. So, 180 (degrees of a straight line) minus the angle 1 would give:
180 - 120 = 60.