Answer:
BC = 18tan(40°)
Step-by-step explanation:
The leg of the triangle can be explained using tan
Tan(angle) = opposite/adjacent
Plug in and simplify to get the answer
Answer:
Hello,
18 x tan 40°
Step-by-step explanation:
tan 40° = BC / AC
and with AC = 18
tan 40° = BC / 18 ⇔ BC = 18 x tan 40°
The slope can be found using the coordinates of the given point and the y-intercept. The equation of the line is y = -2x - 5.
To write the equation of a line with a given y-intercept and a point, we can use the slope-intercept form:
y = mx + b.
The y-intercept is -5, so the equation becomes:
y = mx - 5.
We also know that the line passes through the point (-3, 1). To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1). Substituting the coordinates, we get:
m = (1 - (-5)) / (-3 - 0)
= 6 / -3
= -2.
Plugging the slope and y-intercept into the equation, the equation of the line is: y = -2x - 5.
Learn more about Equation of a Line here:
#SPJ11
By substituting x = 2 into the function f(x) = 2(x)² + 5√(x + 2) and simplifying the equation, the resulting value of f(2) is calculated to be 18.
For the given function f(x) = 2(x)² + 5√(x + 2), we are asked to find the value of f(2). To find this, first substitute x = 2 into the function. So, the calculation becomes
f(2) = 2 * (2)² + 5 * √(2 + 2)
simplifying this equation, we get:
f(2) = 2 * 4 + 5 * √4 = 8 + 5 * 2 = 8 + 10 = 18
So, f(2) = 18
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Answer:
$104
Step-by-step explanation:
10% = 160 ÷ 10 = $16
5% = $16 ÷ 2 = $8
30 % = 16 x 3 = $48
48 + 8 = $56
$160 - $56 = $104
Hope this helps!
Answer:
31°C
Step-by-step explanation:
The formula to convert Celsius to Fahrenheit is F=9/5c+32.
To convert 87° F to Celsius plug in F = 87 in the above formula, we get
87 =
Now we have to isolate the variable and the constant.
Subtract 32 from both sides, we get
87 - 32 =
55 =
Multiply both sides by the reciprocal of -9/5
Which is called inverse operations to find the value of C.
The reciprocal of -9/5 is -5/9
C = 275/9
C = 30.5°
To round off to the nearest degree, we get
31°C