Answer:
c.5
Step-by-step explanation:
5(3 + 2 + 8)
The number outside of the parenthesis is distributed to the numbers inside of the parenthesis
9514 1404 393
Answer:
59) not similar
60)
Step-by-step explanation:
59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.
7:8:12 ≠ 6:7:11
__
60) The side length ratios both reduce to 8:7:10, so the triangles are similar.
∆ABC ~ ∆JKL
The scale factor is LJ/CA = 25/20 = 5/4. (Multiplying ABC by 5/4 will give JKL.)
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°
You need to give options for future reference
<h3>
The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient. </h3>
Step-by-step explanation:
Let
Number of salmon steak = x
Number of baked eggs =y
and Number of acorn squash =z
Total amount of protein that is provided to the patient =40 x +20 y+3 z
Total amount of carbohydrates that is provided to the patient = 20 x+2y +15z
Total amount of vitamin A that is provided to the patient = x+25 y+ 37z
According to the problem,
40x+20y+3z=126, 20x+2y+15z=82 and x+25y+37z= 101.5
Solving the above equations
we get x= 2.5 ,y= 1 and z=2
So , The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient.
