Area of a circle = PI x r^2
Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.
Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.
There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.
Area of rectangle = l x w = 4 x 1 = 4 square cm.
Total area of cutouts = 127.28 + 4 = 131.28 square cm.
Area of sheet left, subtract area of cutouts fro area of sheet:
1018.29 - 131.28 = 887.01 square cm.
Round everything as needed.
Hack
for y=ax^2+bx+c
the xvalue of the vertex is -b/2a
and the y value is found by subsituting that for x
so
-b/2a
h(t)=2x^2+4x+7
a=2
b=4
-b/2a=-4/(2*2)=-4/4=-1
the y value
h(-1)=2(-1)^2+4(-1)+7
h(-1)=2(1)-4+7
h(1)=2+3
h(1)=5
(-1,5) is da vertex
Answer:
J
Step-by-step explanation:
Mn=PQ
SAS requires 2 sides and you need to know that they are congruent
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
30$ is the answer bc if you take 6x 5 = 30