Answer:
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Step-by-step explanation:
<u>Triangle Solving</u>
If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.
The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are
The internal angles can be computed by using the cosine's law
Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:
Similarly
The other angle is computed now
The area can be found by
Answer:28,30,32
Step-by-step explanation:
The sum of three consecutive even integers is 90. Find the Integers.
N= first even number we need to find
N+2= second even number
N+4= third even number
90= is the sum of all 3 even integers
N+n+2+n+4=90
Add all n together
3n+2+4=90
Add 2 plus 4
3n+6=90
Subtract 6 bith sides
3n=90-6
Subtract 90 from 6
3n= 84
Divide 3 both sides
3n/3=84/3
Divide 84 by 3 to solve for n
N= 28
So furst even number is 28. Now to find second and third number substitute 28 into the bext two equations .
N+2=? For second numb.
28+2=30 second number
N+4=? For third number
28+4=32 for third number
To check add all 3 answers
28+30+32=90
58+32=90
90=90 it checks
So three even numbers are 28,30,32
Answer:
y=
Step-by-step explanation:
A parallel line would have the same left hand side, different right hand side.
Use the point to determine the new right hand side.
Answer:
A and B
Step-by-step explanation:
The minimum occurs at the turning point ( vertex )
The coordinates of the vertex are (1, - 2 ) → A
The x- intercepts are the points where the graph crosses the x- axis
This occurs at (3, 0 ) and (- 1, 0 ) → B
The axis of symmetry is a vertical line passing through the vertex
Equation of axis of symmetry is x = 1 , not y = - 2
(1, - 2 ) is a minimum not a maximum , see above
Answer:
The probability that the next spin will land on blue is 0.12.
Step-by-step explanation:
The result of the several spins are as follows:
Color Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
TOTAL 76
Compute the probability that the next spin will land on blue as follows:
Thus, the probability that the next spin will land on blue is 0.12.
