Answer:
The model swing should be <u>2.75 cm</u> high.
Step-by-step explanation:
Given:
A 168-cm tall person is 2 cm in Ming’s model.
If the actual swing is 231 cm high.
Now, to find how high should his model swing be.
Let the model swing be 
So, 168 cm tall person is equivalent to 2 cm.
Thus, 231 cm actual swing is equivalent to
model swing.
Now, we get the height of the swing in the model by using cross multiplication method:

<em>By cross multiplication:</em>
⇒ 
<em>Dividing both sides by 168 we get:</em>
⇒ 
Therefore, the model swing should be 2.75 cm high.
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
False
Step-by-step explanation:
because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.
Hello!
The 2 activities which represent data collecting are :
- A. Graphing the heights of baseball players
- C. Asking people what their favorite food is
Answer:
See below ↓↓
Step-by-step explanation:
a₁ refers to the first term of the sequence.
That is clearly : a₁ = <u>6</u>
<u></u>
The formula for the nth term is :
- aₙ = a₁rⁿ⁻¹
- Common ratio (r) = quotient of consecutive terms
- r = -12/6 = -2
Therefore, the nth term is :