Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
The expression of the inequality word problems for each question is; As expressed below
<h3>How to express inequalities?</h3>
A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
Read more about Inequalities at; brainly.com/question/24372553
#SPJ1
Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.
<h3>How to find the residual.</h3>
From the complete information, the predicted value for the point (3, 0.42) will be:
= (0.091 × 3) + 0.060
= 0.0273 + 0.060
= 0.333
Therefore, the residual will be:
= 0.42 - 0.333 = 0.087
The predicted value for the point (3, 0.3) will be:
y = 0.091x + 0.060.
= (0.091 × 3) + 0.060.
= 0.333
Therefore, the residual will be:
= 0.3 - 0.333 = -0.033
Therefore, the residual for the two points will be 0.087 and -0.333 respectively.
Learn more about residuals on:
brainly.com/question/26255019
<u><em>function </em></u>: p(x) = 65 + 25(x)
for 3 sells
for 10 sells
So,
140 ≤ p(x) ≤ 315
Answer: Rational
Step-by-step explanation: 12 is a rational number because it can be expressed as the quotient of two integers: 12÷ 1
