Y = 3/5x + b
3 = 3/5(-1) + b
3 = -3/5 + b, b = 3 3/5
Y = 3/5x + 3 3/5
<em>Answer:</em>
25.4639073013
Rounded is 25.4
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x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
Learn more about linear inequalities at:
#LearnwithBrainly
Using right triangle relations, we will get:
- tan(B) = 1.05
- sin(B) = 0.735
- cos(B) = 0.7
<h3>
How to find the value of the trigonometric equations?</h3>
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
- tan(θ) = (opposite cathetus)/(adjacent cathetus).
- sin(θ) = (opposite cathetus)/(hypotenuse)
- cos(θ) = (adjacent cathetus)/(hypotenuse).
If we step on angle B, we have:
- opposite cathetus = 29.4
- adjacent cathetus = 28
- hypotenuse = 40.6
Replacing that, we get:
- tan(B) = 29.4/28 = 1.05
- sin(B) = 29.4/40.6 = 0.735
- cos(B) = 28/40.6 = 0.7
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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I haven't got a calculator right now but substitute the values into the cosine law so:
8² = 5² + c² - (2 x 5 x c x cos58)
and then use sine law to find B
sin58/8 = sinB/5
