Answer:
x = 6√6
Step-by-step explanation:
27/x = x/8
x² = 27 × 8
x = √(27 × 8)
x = √(9 × 4 × 6)
x = 3 × 2 × √6
x = 6√6
Answer:
5 faces
Step-by-step explanation:
4 triangle faces + 1 square base face = 5 faces in total
<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.
Solutions
We know that <span>the mass of a tiger at a zoo is 235 kilograms. Randy's cat has a mass of 5,000 grams. To solve the problem we have to convert 235 kilograms into grams.
</span>235 kilograms = 235000 grams
<span>Randy's cat has a mass of 5,000 grams
</span>
Randy's cat = <span>5,000 grams
</span>
Tiger = <span>235000 grams
</span>
Our next step is to subtract 5000 from <span>235000 grams
</span>
235000 grams - <span>5000 grams = 230000
</span>
Answer = <span>230000 grams </span>
