Answer:
28
Step-by-step explanation:
700 x 4% = 700 x 0.04 = 28
Answer:
<h2>132.25π m²</h2>
Step-by-step explanation:
The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.
then
by equating the last two expressions we get: 23π = 2πr then r = 23/2
then
the area = π × r² = (23/2)²×π = (132.25)×π
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP
If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8
2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2
Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4
FC= 2/(1+2) * AC
FC= 2/3 * 12= 8
3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2
DC=3x+12= 3(-2) +12= 6
4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3
C
BC lines slope would be (-1)-(-1)/4 = 0/4.
The line would be
0=x+a
a=-1
0=x-1
x=1
y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1
y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)
5.
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
3x -2y=8
Y= 3/2 x- 4
Hence slope is 3/2
The line d (for example) is parallel to this line the slope of d = slope of this line = 3\2
Then equation of d : y =3/2 x - b
The point (-4,6) belongs to d
Y - 6 = 3/2 (x +4)
Y= 3/2 x + 6 +6
Y= 3/2x +12
Then the equation is : Y= 3/2x +12
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▹ Answer
<em>A ≈ 201.06 mm²</em>
▹ Step-by-Step Explanation
A = πr²
Radius = 1/2d
Radius = 1/2(16)
Radius = 8
Substitute:
A = π8²
A ≈ 201.06 mm²
Hope this helps!
CloutAnswers ❁
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