First, find the area of the base (the triangle) and then multiply it by the height
to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2
a^2 + b^2 = c^2 (plug in known information)
a^2 + (7.5)^2 = (15)^2 (solve, first solve the exponents)
a^2 + 56.25 = 225 (subtract 56.25 on both sides)
a^2 = 168.75 (solve for a, put 168.75 under the square root)
then once you find the area multiply by the known height
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
Answer:
um, can you make that a bit clearer thanks! (:
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
All angles measure up to 180.
3x+2x+1x=180
6x=180
1x=30
Answer:
Step-by-step explanation:
y=ax^2+bx+c
when x=0,y=7 so c=7
when x=3 then y=a*3^2+b*3+7=-2
9a+3b+7=-2
9a+3b=-2-7
9a+3b=-9
V(3,-2)
3=-b/2a
-b=3*2a
b=-6a
9a+3*(-6a)=-9
9a-18a=-9
-9a=-9
a=1
b=-6*1
b=-6a
b=-6
so y=x^2-6x+7
