<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:
<h3>The x intercept is 1/2</h3><h3>The y intercept is - 4</h3>
Step-by-step explanation:
y = 8x - 4
First to find the y intercept let x = 0
Substitute the value of x into the equation
That's
y = 8(0) - 4
y = - 4
<h3>The y intercept is - 4</h3>
To find the x intercept let y = 0
Substitute the value of y into the equation
that's
8x - 4 = 0
8x = 4
Divide both sides by 8
x = 1/2
<h3>The x intercept is 1/2</h3>
Hope this helps you
Answer:
It is (B) ED2021
Explanatory variable: time spent streaming videos
Response variable: time spent exercising
Answer:
Step-by-step explanation:
a (2³)² = 2³ˣ² = 2⁶
b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1
c (5⁶)³ = 5⁶ˣ³ = 5¹⁸
d (6²)⁴ = 6²ˣ⁴ = 6⁸
e (8³)⁴ = 8³ˣ⁴ = 8¹²
f (4³)² = 4³ˣ² = 4⁶
g (9¹)² = 9¹ˣ² = 9² = 81
h (3⁷)² = 3⁷ˣ² = 3¹⁴
i (10²)³ = 10²ˣ³ = 10⁶
j (11²)⁴ = 11²ˣ⁴ = 11⁸
