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defon
3 years ago
9

Adam rolls a die 96 times. How many times can he expect to roll a 4?

Mathematics
1 answer:
Fed [463]3 years ago
5 0
The answer is B. 96/4
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Please answer and say what a perfect root is pls i didnt get time to study and this is for 15 points
mixer [17]

Answer:

81

Step-by-step explanation:

9 x 9 = 81

So, 81 is the perfect square.

5 0
2 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
Find the distance between the two points and simplest rational form (3,-4) (6,-7))
pychu [463]

Answer:

D = 3\sqrt{2}

Step-by-step explanation:

Given

(x_1,y_1) = (3,-4)

(x_2,y_2) = (6,-7)

Required

Determine the distance between the two points

Distance (D) is calculated as:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute values for x's and y's

D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}

D = \sqrt{(6 - 3)^2 + (-7 +4)^2}

D = \sqrt{(3)^2 + (-3)^2}

D = \sqrt{9+9}

D = \sqrt{18}

Express as 9 * 2

D = \sqrt{9*2}

Split:

D = \sqrt{9}*\sqrt{2}

D = 3*\sqrt{2}

D = 3\sqrt{2}

4 0
2 years ago
Based on its degree, what kind of polynomial is this?<br> h(x) = 4x^4 + 2x - 5
cestrela7 [59]

Answer:

Quartic

Step-by-step explanation:

Given

h(x) = 4x^4 + 2x - 5

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

5 0
3 years ago
Please help me answer this. Ty
blsea [12.9K]

I think 63, but I'm not sure, how do I delete an answer-

4 0
2 years ago
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