Answer:
Length = 160 and width = 55 yards
Step-by-step explanation:
Perimeter = 2L + 2W where L = the length and W = the width.
L = 3W - 5 (given).
So substituting for L is the formula for the perimeter:-
2(3W - 5) + 2W = 430
6W - 10 + 2W = 430
8W = 440
W = 55 yards.
So the Length L = [430 - 2(55]) / 2 = 160 yards.
Answer:
The interior of Earth is very hot (the temperature of the core reaches more than 5,000 degrees Celsius) for two main reasons: The heat from when the planet formed, The heat from the decay of radioactive elements.
Step-by-step explanation:
yes it does get hot
<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.
Answer:
The numbers are
5.5 and 9.5,
Step-by-step explanation:
If the numbers are x and y:
x + y = 15
x - y = 4
If we add these 2 equations we eliminate y, so
2x = 19
x = 19/2 = 9.5.
Substituting in the first equation for x:
9. 5 + y = 15
y = 15 - 9.5 = 5.5