Answer:
The secant of angle x; sec x = √17
Step-by-step explanation:
Here, given the tangent of an angle, we want to find the value of the secant
Mathematically;
sec^2 x = 1 + tan^2 x
This is from trigonometric identity
Thus;
sec x = √(1 + tan^2 x)
According to the question;
tan x = 4
So tan^2 x = 4^2 = 16
Thus;
sec x = √1 + 4^2
sec x = √17
Answer:
Step-by-step explanation:
Using the formula for calculating the distance between two points as shown;
D = √(x2-x1)²²+(y2-y1)²
Given the coordinates (-2, 4) and (10,2)
x1 = -2, y1 = 4, x2 = 10 and y2 = 2
substitute into the formula;
D = √(10+2)²+(2-4)²
D = √(12²+(-2)²
D = √144+4
D = √148
D = 12.17 units
Hence the distance of Mac,s house from Nate's house is 12.17 units
To find the coordinates of Mac's house, we use the section formula in mathematics. By substitifying the given locations of Nate's house and the park into the formula, we conclude that Mac's house is located at approximately (2, 3.33) which is one third the distance from Nate's house to the park.
In this math problem, we are dealing with points in a 2D cartesian coordinate system. Nate's house is at (-2, 4) and the park is at (10, 2). Mac's house is located one third of the distance between these two points. Following the formula for the coordinates of a point dividing a line segment in a given ratio, we can find Mac's house location.
Let the coordinates of Mac's house be (x, y). We use the formula for section formula which is:
x = [(m*x2 + n*x1) / (m+n)] and y = [(m*y2 + n*y1) / (m+n)]
Here, x1, y1 (-2, 4) are the coordinates of Nate's house, x2, y2 (10, 2) are the coordinates of the park and the ratio m:n is 1:2 since it's one third of the distance from Nate's house to the park.
By substituting these values in the formula, we get x = [(1*10 + 2*-2) / (1+2)] = 2 and y = [(1*2 + 2*4) / (1+2)] = 3.33
So, the coordinates of Mac's house are approximately (2, 3.33).
#SPJ3
Step-by-step explanation:
Given that,
Perpendicular = 17 units
Hypotenuse = 25 units
We need to find the value of x.
Using Pythagoras theorem to find x.
Hypotenuse² = base²+perpendicular²
25² = x² + 17²
x = 18.3 units
So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.
Answer:
27 3/32
Step-by-step explanation:
Answer:
It's 30 27/28
Step-by-step explanation:
If you multiply 51*17 and 7*4 you get 867/28 which equals 30 27/28
Answer:
the answer is so easy.
Step-by-step explanation:
su= -rqt
The expression of u in terms of q, r, s, and t is u = -rqt/s.
We have,
To solve for u in terms of q, r, s, and t in the expression su = -rqt, you can isolate u by dividing both sides of the equation by s:
su = -rqt
This involves applying the principles of algebraic manipulation and equation solving to rearrange the equation and express "u" in a desired form.
Divide both sides by s:
u = -rqt / s
So, the solution for u in terms of q, r, s, and t is:
u = -rqt / s
Thus,
The expression of u in terms of q, r, s, and t is u = -rqt/s.
Learn more about expressions here:
#SPJ3
Answer:
Step-by-step explanation:
su - -rqt
u = -rqt/s