<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
737 X 74 = 54,538
Evenly divided by: 2, 11, and 22
Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to

therefore
Is shaded 5/8 of the area of the rectangle
Answer:
A.) (x + 2) and (2x - 1)
Step-by-step explanation:
So from the video i just watch this is how its done
3 (2x^2 + 3x - 2) = 0
4 and -1 gives you 3 and you divide them by a which is 2
4/2 (2/1) and -1/2 then you write them from the bottom to top
(x + 2) and (2x - 1)
Answer:
B.) 20 (x + 5) (x - 5) = 0
Step-by-step explanation:
20 (x^2 - 25) = 0
20 (x + 5) (x - 5) = 0
EZ