Answer:-
1. False. A square is always a rhombus.
2. True. When all sides are equal in a rectangle then it is square.
3. False. In parallelogram opposite sides are equal .But kite is grouped into two pairs of congruent sides that are adjacent to each other. Thus A parallelogram can never be a kite.
4.True. A rhombus with interior angle 90° is square.
5.True. A trapezoid is a quadrilateral who has two opposite sides which are parallel to each other but kite is grouped into two pairs of congruent sides that are adjacent to each other.It may not have one pair of opposite parallel sides. Only rhombus is a kite which can be trapezoid.
Answer:
m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ
Half-Life = 46.21 years.
Step-by-step explanation:
Radioactive reactions always follow a first order reaction dynamic
Let the initial mass of radioactive substance be m₀ and the mass at any time be m
(dm/dt) = -Km (Minus sign because it's a rate of reduction)
The question provides K = 0.015 from the given differential equation
(dm/dt) = -0.015m
(dm/m) = -0.015dt
∫ (dm/m) = -0.015 ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from m₀ to m and the Right hand side from 0 to t.
We obtain
In (m/m₀) = -0.015t
(m/m₀) = (e^(-0.015t))
m = m₀ e^(-0.015t)) = m₀ e⁻⁰•⁰¹⁵ᵗ
m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ
At half life, m(t) = (m₀/2), t = T(1/2)
(m₀/2) = = m₀ e⁻⁰•⁰¹⁵ᵗ
e⁻⁰•⁰¹⁵ᵗ = (1/2)
In e⁻⁰•⁰¹⁵ᵗ = In (1/2)
-0.015t = - In 2
t = (In 2)/0.015
t = (0.693/0.015)
t = 46.21 years
Half life = T(1/2) = t = 46.21 years.
Hope this Helps!!!
By definition, the arc length is given by:
s = R * theta
Where,
theta: angle
R: radio
Substituting values we have:
s = (34) * ((5/4) * π)
s = (34) * ((5/4) * (3.14))
s = 133.45 cm
Answer:
the length of an arc with a central angle of 5 / 4π radians and a radius of 34 centimeters is:
s = 133.45 cm
Answer:
1231 ft
Step-by-step explanation:
Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.
The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.
Prime numbers have only 2 factors 1 and its number for example:
2, 3, 5, 7, 11, 13, 17, 19, 23
Like this 1*2. Or 3*1
Composite numbers have more than two factors for example :
0, 4, 6, 8, 9, 10, 12, 14 15, 16..
For example 0 has many factors
0 times 3 0times 4