Option D:
No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Solution:
The system of equations are
4x – 2y = 4 – – – – (1)
3x + 3y = 21 – – – – (2)
Step 1: Multiply the equation (1) by 3 and equation (2) by 2
12x – 6y = 12
6x + 6y = 42
Step 2: Add the above equations.
⇒ 18x = 54
Step 3: Divide both sides of the equation by 18.
⇒ x = 3
Step 4: Substitute x = 3 in equation (1)
4(3) – 2y = 4
⇒ 12 – 2y = 4
Subtract 12 from both sides of the equation.
⇒ –2y = –8
Divide by –2 on both sides of the equation.
⇒ y = 4
Step 5: The solution is (3, 4).
But Claire's solution is (3, –4).
Claire's solution is not correct in step 4.
Option D is the correct answer.
No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Answer:
Option (3) will be the answer.
Step-by-step explanation:
Area of a triangle =
=
Since, m∠A + m∠B + m∠C = 180°
60° + 60° + m∠C = 180°
m∠C = 180° - 120°
m∠C = 60°
Therefore, ΔABC is an equilateral triangle.
AB ≅ BC ≅ AC ≅12
Sin 60° =
CD = 6√3
Now area of ΔABC =
=
= 62.35
≈ 62.4 square units
Therefore, Option (3) will be the answer.
Answer:
125.05
Step-by-step explanation:
Used a calculator lol
Answer:
24
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Determine the percentage of the shaded cubes
First, we calculate the number of boxes:
Express as multiplication
This implies that there are 20 cubes in the box.
The percentage of the shaded cubes is:
<em>30% were shaded</em>