Answer:
her total profit is 3
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3
Answer:
Therefore, HL theorem we will prove for Triangles Congruent.
Step-by-step explanation:
Given:
Label the Figure first, Such that
Angle ADB = 90 degrees,
angle ADC = 90 degrees, and
AB ≅ AC
To Prove:
ΔABD ≅ ΔACD by Hypotenuse Leg theorem
Proof:
In Δ ABD and Δ ACD
AB ≅ AC ……….{Hypotenuse are equal Given}
∠ADB ≅ ∠ADC ……….{Each angle measure is 90° given}
AD ≅ AD ……….{Reflexive Property or Common side}
Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved
Therefore, HL theorem we will prove for Triangles Congruent.
Answer:
Given radius (R) = 13
Diameter = 2R = 26
Circumference = 2πR
= 26π
= 81.681408993335
Area = πR2
= 169π
= 530.92915845668
Step-by-step explanation:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Circle Formulas
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
The circumference follows the formula
C= 2 (pi)R
R is the radius which is half the diameter when we put this into the equation we get
C = 2 (pi)(4.5)
C=28.274334
Answer:
<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>
Step-by-step explanation:
<u><em>To begin, </em></u><u><em>there are 4 people</em></u><u><em>. Her siblings, and herself. She is </em></u><u><em>splitting the 1/5 leftover</em></u><u><em> to feed them. To do this, we simply </em></u><u><em>take 1/5 and put it into a fraction to get 0.2</em></u><u><em>. Next, we can </em></u><u><em>put 0.2 / 4 into a calculator</em></u><u><em> to get how much each person can get.</em></u>
<u><em>0.2 / 4 = 0.05.</em></u>
<u><em>Now, we need to </em></u><u><em>turn it into a fraction</em></u><u><em> to find out how much they had in fraction form of the original.</em></u>
<u><em>0.05 = 1/20</em></u>
<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>
