Answer:
the height of the tree is <em>15.49 m</em>
<em></em>
Step-by-step explanation:
Step 1:
From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:
∠ ATB = 180° - 98° - 20°
∠ ATB = 62°
Step 2:
Therefore, using the law of sines, we can determine the height of the tree.
TB / sin(20°) = 40 / sin(62°)
TB = 40 × (sin(20°) / sin(62°))
<em>TB = 15.49 m </em>
<em></em>
Therefore, the height of the tree is <em>15.49 m</em>
5x−y=4
Solve for y
.
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y=−4+5x
Rewrite in slope-intercept form.
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y=5x−4
Use the slope-intercept form to find the slope and y-intercept.
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Slope: 5
y-intercept: (0,−4)
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
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xy0−4450
Graph the line using the slope and the y-intercept, or the points.
Slope: 5
y-intercept: (0,−4)
xy0−4450
Answer:
Step-by-step explanation:
A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.
A. The cost at the fitness center depends on the number of months (x).
The cost is the dependent variable, and number of months (x) is the independent variable.
f(x) = 100 + 40x
Example, the cost paid for 12 months can be determined as;
f(12) = 100 + 40(12)
= 100 + 480
= 580
Thus, $580 would be paid for 12 months at the fitness center.
B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.
The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.
So that;
f(x) = 1.69x
The cost of 10 pounds of lettuce can be determined as;
f(x) = 1.69(10)
= 16.9
Thus, the cost of 10 lb of lettuce is $16.90.
Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The sample size is n = 415
The sample proportion is 
Now
The null hypothesis is 
The alternative hypothesis is 
The test statistics is mathematically evaluated as
substituting values
