Find the value of x. 42° (5x + 2)
1 answer:
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Answer:
Area = 19.05 feet squared
Step-by-step explanation:
By applying sine rule in ΔABC,
sin(∠CAB) =
sin(60°) =
BC = 2√3
Area of a parallelogram is given by the formula,
Area = Base × Height
= 5.5 × 2√3
= 11√3
= 19.05 ft²
Therefore, answer is Area = 19.05 ft squared.
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
Answer:
200 students
Step-by-step explanation:
From the question;
- Total number of students = 1,000
- % percentage of students that speak Spanish= 20%
Required to determine the number of students that speak Spanish;
We are going to use;
- Number of students that speak Spanish = % of student that speak Spanish × Total students
Therefore, the number of students that speak Spanish is 200