Answer:
81
Step-by-step explanation:
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Steps:
1. Do the slope formula
Y2-Y1
--------
X2-X1
2.
9-9
------
9- (-1)
3. 9-9=0
9 + 1=10
4. 0/10 = 0
5. Your answer is 0
By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5
<em><u>Recall:</u></em>
Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.
- Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).
<em><u>Given:</u></em>
ΔMNL is a right triangle
ML = 25
NL = 15
Find MN using the Pythagorean Theorem:
MN = √(ML² - NL²)
MN = √(25² - 15²)
MN = 20
To find the value of cos(M), apply the trigonometry ratio, CAH, which is:
cos ∅ = Adj/Hyp
∅ = M (reference angle)
Hypotenuse = ML = 25
Adjacent = MN = 20
cos(M) = 20/25
cos(M) = 4/5
Learn more about Trigonometry ratios on:
brainly.com/question/10417664
Answer:
y [ Expected Sales ] = 20.62 thousands
Step-by-step explanation:
Regression line : y = 14.8 − 3.5x1 + 3.2x2 + 15.8x3 ; where
y = sales (in 1000s), x1 = number of competitors within one mile, x2 = population (in 1000s) within one mile, x3 = 1 (if a drive-up window is present) or x3 = 0 (if a drive-up window is not present)
x1 (competitors) = 3 , x2 (population) = 5100 = 5.1 thousands , x3 (no drive up window) = 0
y = 14.8 − 3.5 (3) + 3.2 (5.1) + 15.8 (0)
y = 14.8 - 10.5 + 16.32
y [ Expected Sales ] = 20.62 thousands
Ratio :
Width : Length
3 : 5
Let the factor be x
(3x)(5x) = 15x²
15x² = 135
x² = 9
x = √9
x = 3
Width = 3 x 3 = 9 cm
Length = 3 x5 = 15 cm
Answer: The dimension is 9cm by 15 cm