Answer:
The number of duck is 32.
Step-by-step explanation:
Let x represent the number of rabbits.
Let y represent the number of ducks
From the question given:
The sum of rabbit and duck is 36 i.e
x + y = 36 .... (1)
The sum of the feets of the rabbit and duck is 80.
Rabbits has 4 legs
Duck has 2 legs
Therefore, the sum their feets (i.e 80) can be written as:
4x + 2y = 80 .... (2)
The equations are:
x + y = 36 .... (1)
4x + 2y = 80 .... (2)
Solving by substitution method:
From equation (1)
x + y = 36
Make x the subject
x + y = 36
x = 36 - y
Substitute the value of x into equation (2)
4x + 2y = 80
x = 36 - y
4(36 - y) + 2y = 80
Clear bracket
144 - 4y + 2y = 80
144 - 2y = 80
Collect like terms
- 2y = 80 - 144
- 2y = - 64
Divide both side by - 2
y = - 64/ - 2
y = 32
Therefore, the number of duck is 32.
Tom has to grow 20% in order to become 48 inches tall.
Answer:
55 deg 30 Minutes = 55.5 degrees
sin = opp/hyp
sin(55.5) = altitude/10
Altitude = 10*sin(55.5)
Altitude = 10 * sin(55.5) = 8.241261886
Rounded to nearest 10th
Altitude = 8.2 cm
b. for base use Low of Cosines
Let C = base
Side A and B = length 10 Cm
c^2 = 2*a^2 -2a^2*cos(<C)
<C = 180 - 2*55.5 = 180 -111 = 69 degrees
c = sqrt ( 2a^2 - 2a^2*cos(<C)
c = sqrt ( 2*100- 200*cos(69))
c = sqrt (200 - 200*cos(69) ) = 11.32812474
Answer base
c = 11.3 cms
c.
Area = (1/2)*b * h
Area = (1/2)*(answer a * answer b)
Area = (1/2)* 11.32812474* 8.241261886 = 46.67902132
Area = 46.7 (rounded)
Area = ( 1/2) * a*b*sin(<C) = (1/2)*10*10*sin(69) =
Area = 50* sin(69) = 46.67902132
Area = 46.7 (rounded)
Step-by-step explanation:
C. INTO SIXTHS
I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT
<em>I HOPE I WASNT TOO LATE. IF I WAS, SORRY</em>
H. Will be the correct answer because the points on the polygons are equal.
