Answer:
b. 2005
Step-by-step explanation:
(apex)
300=150(1.07)^x
1.07^x=2
x=ln 2/ln 1.07
=10.24
1995 plus ten years = 2005
hope this helps
AB = AC, so this is an isosceles triangle, then angle B=angle C =66⁰.
m∠BAD = m∠CAD, so AD is a bisector.
In an isosceles triangle, bisector is also median and height.
So AD is perpendicular bisector.
So angle x = 90⁰.
In triangle ABC
m∠A+m∠B+m∠C=180⁰
m∠A+66+66=180
m∠A=180-66-66=48⁰
m∠A=48⁰
AD is a bisector of A, so y=m∠A/2=48⁰/2=24⁰
x=90⁰, y=24⁰
Answer is A
19.8m²
Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.
Side note: 2.7 comes from subtracting 3.6 off of 6.3.
Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²
Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²
Then you add the areas of both the rectangle and the triangle together.
14.4 + 5.4 = 19.8m²
Answer:
First lets find the slope through the points (3,-1) and (-1,5)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula (note: (x%5B1%5D,y%5B1%5D) is the first point (3,-1) and (x%5B2%5D,y%5B2%5D) is the second point (-1,5))
m=%285--1%29%2F%28-1-3%29 Plug in y%5B2%5D=5,y%5B1%5D=-1,x%5B2%5D=-1,x%5B1%5D=3 (these are the coordinates of given points)
m=+6%2F-4 Subtract the terms in the numerator 5--1 to get 6. Subtract the terms in the denominator -1-3 to get -4
m=-3%2F2 Reduce
So the slope is
m=-3%2F2
Step-by-step explanation:
Answer: Because 
, therefore 
.
