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Rudik [331]
2 years ago
13

Stuart defines a rhombus as a quadrilateral with 4 congruent sides. Is Stuart's

Mathematics
2 answers:
love history [14]2 years ago
8 0

Answer:

The definition by Stuart is valid

Step-by-step explanation:

Each set of opposite side of a rhombus is congruent, this indicates that the quadrilateral is a parallelogram. Hence, the definition by Stuart that, a rhombus as a quadrilateral with 4 congruent sides is valid

SIZIF [17.4K]2 years ago
7 0
Yes his definition is valid.
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katen-ka-za [31]
If restaurant rotates 60^{0} every 15 minutes, then after one hour it will rotate 60^{0}*4=240^{0}.
When restaurant makes full rotation 360^{0}, the length will be 2 \pi r=2 \pi *80=160\pi. But 240^{0} <span>is only \frac{2}{3} from the full rotation, so the bird will pass 160\pi * \frac{2}{3} =335 ft
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</span><span>Answer: B is a correct choice
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8 0
2 years ago
Which polynomial function could be represented by the graph below?
Svetllana [295]

Note that

1.

f(x)=x^3+x^2-6x=x(x^2+x-6)=x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.

2.

f(x)=x^3-x^2-6x=x(x^2-x-6)=x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.

3.

f(x)=-2x^3-2x^2+12x=-2x(x^2+x-6)=-2x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.

4.

f(x)=-2x^3+x^2+12x=-2x(x^2-x-6)=-2x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.

From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is   decreasing-increasing-decreasing.

Answer: correct choice is 3.

7 0
2 years ago
Read 2 more answers
To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The
kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

s(t) = 4.9t^2 + v_0 t + s_0

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

0 = 4.9(5.6)^2 +5.6(0)+ s_0

0 = 4.9(31.36)+ s_0

s_0=-153.664

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

7 0
2 years ago
What is the factored form of the polynomial 27x2y – 43xy2?
snow_tiger [21]
The answer is xy(27x-43y) have a great day :)
9 0
2 years ago
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What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

7 0
2 years ago
Read 2 more answers
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