Answer:
24,48,96,192
Step-by-step explanation:
3*x =6
Divide by 3
3x/3 =6/2
x=2
We are multiply by 2
Check
6*2 =12
Correct
12*2 =24
24*2 =48
48*2= 96
96*2= 192
Answer:
Building depth = 168 ft
Step-by-step explanation:
we must find the relationship (scale) of the model with respect to the building
.
wide-m (model) = 3 in
deep-m(model) = 4 in
wide-b (building) = 126 feet
deep-b(building) = x
the measures must be standardized
let's convert feet to inches
12 in → 1 feet
3 in → ?, then
3 in → 0.25 feet and 4 in → 1/3 feet
now deep-m = x
Explanation:
3(x-4)=2x+7
⇔
3x - 12 = 2x + 7 (expand the left expression)
⇔
3x - 2x - 12 = 2x - 2x + 7 (subtract 2x from both sides)
⇔
x - 12 = 7
⇔
x - 12 + 12 = 7 + 12 (Add 12 to both sides)
⇔
x = 19
Answer:
0 and 8/3
Step-by-step explanation:
y is continuous on [0,4]
It also also differentiable on (0,4)
Plugging in 0 and 4, we get -3 both times so y(0) = y(4).
Therefore there is at least one value c between 0 and 4 inclusive where y'(c) = 0
y' = -3x^2 + 8x
Set that to 0:
-3x^2 + 8x = 0
x(-3x+8) = 0
x = 0 or 8/3
And both values work.
Answer:
Step-by-step explanation:
Let <ADB be x. From the rectangle, <ADB+<BDC = <ADC
<ADB+<BDC = 90° ..... 1
If angle BDC is 31° greater than mangle ADB, then <BDC = x+31
Substituting the given values into the equation 1:
x+x+31 = 90
2x + 31 = 90
2x = 90-31
2x = 59
x = 59/2
x = 29.5°
To get <BDC, we will substitute x = 29.5° into the expression <BDC = x+31
<BDC = 29.5+31
<BDC = 60.5°
Hence <ADB = 29.5° and <BDC = 60.5°
