Answer:
The answer to your question is 12.55 cm
Step-by-step explanation:
Data
Adam Cara
height = 159 cm height = 140 cm
shadow = 105 cm shadow = x
Process
1.- To solve this problem use the Thales' theorem
Cara's shadow / Cara's height = Adam's shadow / Adam's height
- Substitution
x / 140 = 105 / 159
-Solve for x
x = 105 (140) / 159
-Simplification
x = 14700 / 159
x = 92.45 cm
Cara's shadow is 92.45 cm long.
2.- If both shadows are in line, then Cara must walk forward
105 - 92.45 cm
12.55 cm
Answer:
8
Step-by-step explanation:
12-4=8
<span>Simplifying
3x + 6 = 2x
Reorder the terms:
6 + 3x = 2x
Solving
6 + 3x = 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
6 + 3x + -2x = 2x + -2x
Combine like terms: 3x + -2x = 1x
6 + 1x = 2x + -2x
Combine like terms: 2x + -2x = 0
6 + 1x = 0
Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6
Combine like terms: 0 + -6 = -6
1x = -6
Divide each side by '1'.
x = -6
Simplifying
x = -6
</span>so the answer is x =-6
According to http://www.geteasysolution.com/3x+6=2x
Answer:
<em>Colin spends 1/8 of an hour practicing each song</em>
Step-by-step explanation:
Colin's piano lesson is 3/4 of an hour, long.
In that period, he practices 6 different songs, spending an equal amount of time on each one.
This means that each song gets the sixth part of the lesson duration. The fraction that expresses that amount is:
Colin spends 1/8 of an hour practicing each song
Hello!
First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.
4(8)=32
32/2=16
Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A=r².
We know that the diameter of this circle is eight. Therefore our radius is 4.
A=²
A=
Now we multiply.
16≈50.27
Now we add our triangle.
50.27+16=66.27
The nearest answer to this is B)66.2. It may have been a bit over as we used , not 3.14.
I hope this helps!