Answer:
- 2³
- 10²
Step-by-step explanation:
2³:2×2×2=8
10²:10×10=100
A²+b²=c²
a=b because it has 2 45° angles and one 90 so it is isosceles right triangle
∴ a² + a² = c²
2a²=24²
2a²=576
a²=288
a=√288
a=16.97056275
Therefore. With A=1/2bh
A=(1/2) * 16.97056275 * 16.97056275
= (1/2) * 288
= 144
144 ft²
I know that one is obtuse and acute
First, you want to establish your equations.
L=7W-2
P=60
This is what we already know. To find the width, we have to plug in what we know into P=2(L+W), our equation to find perimeter.
<span>60=2(7W-2+W) </span>
<span>Now that we only have 1 variable, we can solve. </span>
First, distribute the 2.
60=14W-4+2W
Next, combine like terms.
60=16W-4
Then, add four to both sides.
64=16W
Lastly, divide both sides by 16
W=4
To find the length, we plug in our width.
7W-2
7(4)-2
28-2
<span>L=26</span>
One way to solve this question is through trigonometry. :)
If you've learnt trigonometry, here are the basic formulas:
SOH CAH TOA (These formulas only apply for right-angled triangles)
Sin(angle) = (Side that is Opposite of angle)/(Hypotenuse)
Cos(angle) = (Side that is Adjacent of angle)/(Hypotenuse)
Tan(angle) = (Side that is Opposite of angle)/(Side that is Adjacent of angle)
In this case, we should use sine of b (the angle at the top of triangle as indicated in your question), where the opposite side is the base (I.e. 4 indicated in your question) and the hypotenuse is 9.
sin(b) = 4/9
{Make angle b the subject of the equation}

{Type this into the calculator}
Angle b = 26.4° (rounded off to 1 decimal place)
Hope this helps! :)