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ZanzabumX [31]
3 years ago
7

Is 33/3 a natural, whole, integer, or rational number??????

Mathematics
1 answer:
Rasek [7]3 years ago
6 0
Natural, Whole, and a rational number
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Solve -2x + 6 = -20.<br><br> (A) -13<br> (B) 13<br> (C) -7<br> (D) 7
kow [346]
Answer: x=13

explanation:
-2x+6=-20
subtract 6 from both sides
-2x=-26
divide -2 by both sides
two negatives equals a positive
x=13
8 0
3 years ago
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A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d
Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.


Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

V=\dfrac{1}{3}b\times h,

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.

Therefore, the volume of the pyramid is

V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.

Thus, the required volume is V=324~\textup{cm}^3. This makes (C) as the correct option.



5 0
3 years ago
Solve the system of equations and choose the correct answer from the list of options.
SpyIntel [72]
(3, -2) satisfies both equations. 3-2=1, and -3-2=-5.
7 0
3 years ago
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One-fifth of the sum of 7 and b minus the product of 4 and m​
deff fn [24]

Answer:

7/5 + b/5 - 4m

Step-by-step explanation:

(1/5)(7 + b) - (4)(m) = 7/5 + b/5 - 4m

4 0
2 years ago
The lcm of 165xy and 77x 3 y is _____. 1,155x 3y 11xy 12,705x 4y 2 105x 3y
trapecia [35]
The least common multiple (LCM) can be determined by factoring out the terms first,
                             165xy = (3)(11)(5)(x)(y)
                              77x³y = (7)(11)(x)(x)(x)(y)
Copy the factors writing off the repeated factors only once,
                        LCM = (3)(11)(5)(x)(y)(7)(x)(x)= 1155x³y
The answer is 1155x³y (first choice) 
4 0
2 years ago
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