Answer: 3/4 or 0.75
Step-by-step explanation:
Since Ernie wants to split the 3 bagels with himself, his wife, and his 2 kids, this means the 3 bagels will be divided among 4 people.
Therefore, the amount received by each person will be:
= 3/4
= 0.75
Each person gets 0.75 bagel.
Answer: 12 metres
Step-by-step explanation:
The scale factor used for the model is 1 : 30.
This means that for any 1cm on the model, the real boat would be 30 cm.
If the height is 40 cm on the model, the real boat will be 30 times that:
= 40 * 30
= 1,200 cm
A metre is equivalent to 100cm.
1,200 cm would therefore be:
= 1,200/100
= 12 metres
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
Answer:
4. 24.39°
5. 27.29°
6. 38.21°
Step-by-step explanation:
Given:
Δ ABC is right angle at A
Δ PQR is right angle at Q
Δ XYZ is right angle at X
To find:
∠ C = ?
∠ P = ?
∠ Z = ?
Solution:
For 4.)
We Know the Identities,
∴
For 5.)
For 6.)
Answer:
What are the options
Step-by-step explanation: