Answer:
24°
Step-by-step explanation:
the total angle, made up from both a and 66°, is a mini-square, as you can see. this represents a right angle of 90°
thus, a and 66° combine to make 90°
a + 66° = 90°
subtract 66 from both sides to get a
a = 24°
-5 will be your answer. Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
Answer:
$301 - $397
Step-by-step explanation:
Using the Empirical rule
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From the above question,
Mean = 349 , standard deviation = 24.
Confidence interval = 95%
Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
μ – 2σ
= 349 - 2(24)
= 349 - 48
= 301
μ + 2σ
349 + 2(24)
= 349 + 48
= 397
Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.
Answer:
Use SOH-CAH-TOA method and figure out which sign you need. SOH- Sin, CAH- Cos, TOA- Tan.
Also,
SOH- opposite/hypotenuse
CAH- adjacent/hypotenuse
TOA- opposite/adjacent
Look at the angle and see which terms you have already. For example, if you had opposite the angle and the adjacent side, you would choose tangent because its TOA. Hope that helps!
