Answer:
20 ft
Step-by-step explanation:
Keep in mind that, both ratios are the same, let the length of the shadow be x, then you can make an equation that 30/ 40 = 15 / x, then 30x = 15 * 40 = 600, so x = 20.
Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
Answer:
Hypotenuse = 14 inches
Adjacent = 12.12 inches
Step-by-step explanation:
Using SOH, CAH TOA Method
According to SOH
Sin(theta) = Opposite/Hypotenuse
Given theta = 30°
Opposite = 7 inches
Sin30° = 7/Hypotenuse
Hypotenuse = 7/Sin30°
Hypotenuse = 7/0.5
Hypotenuse = 14 inches
The other leg will be the adjacent saying x using Pythagoras Theorem to get x
Hypotenuse^2 = Opposite^2 + Adjacent^2
14^2 = 7^2 + x^2
x^2 = 14^2 - 7^2
x^2 = 196 - 49
x^2 = 147
x = sqrt of 147
x = 12.12 inches
Answer:
y=-1/2x-3
Step-by-step explanation:
Let's pick two points for slope.


For the y-inctercept, the line intersect at the y-axis at (0,-3)
CHECK:



Answer:
angle 1= 104 angle 2= 76
Step-by-step explanation:
angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.
x+66+2x=180 set the sum of the angles to 180
3x+66=180 combind like terms
3x=144 subract 66 from both sides
x=38 divide 3 from both sides
Now you put x back into the measurments
angle 1= (x+66) angle 2= 2x
(38+66) 2×38
angle 1= 104 angle 2= 76
Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.