Answer:
option D
. 254.34cm^2
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The options are:
A
. 56.52cm^2
B
. 141.30cm^2
C
. 1,017.36cm^2
D
. 254.34cm^2
step 1
Find the diameter of the largest circle
we know that
The diameter of the largest circle is equal to the sum of the diameter of the two inside circles
so
step 2
Find the area of the largest circle
we know that
The area of the circle is given by the formula
we have
----> the radius is half the diameter
assume
substitute
Answer:
0.27
Step-by-step explanation:
Red marbles = 4
Yellow marbles = 16
Purple marbles = 5
Blue marbles = 16
Green marbles = 10
Total marbles
= 4 + 16 + 5 + 16 + 10
= 51
Red and Green marbles
= 4 + 10
= 14
P(Red or green marbles)
= 14/51
= 0.27
Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Answer:
see below
Step-by-step explanation:
The area is given by
A = l*w
A = (4x-1) ( 3x+6)
FOIL
first 4x*3x =12x^2
outer 6*4x = 24x
inner -1*3x = -3x
last -1 *6 = -6
Add together
12x^2 +24x-3x-6
12x^2 +21x-6
