Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)
A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle.
When we plug in the numbers into the formula, we would get this:
13^2 + b^2 = 15^2
B is the unknown variable in which we are trying to find.
First, you square 13 and 15:
169 + b^2 = 225
Then, subtract 169 from both sides:
b^2 = 56
Finally, find the square root of both sides:
b = 7.483314774
Simplify to the nearest tenth, and the answer is 7.5<span />
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Answer:
A m = 48
B x = -24
C x = 16
Step-by-step explanation:
A. 1/6m - 3 = 5
1/6m = 5+3
1/6m = 8
multiply both side by 6
m = 8×6
m = 48
B. 2/3x-3 = 1/2 x-7
2/3 x - 1/2 x = -7 +3
1/6 x = -4
multiply 6 to the both side
x = -4×6
x= -24
C.x+x/2-4= x/4
x+x/2 - x/4 = 4
x + l/2 x - 1/4 x = 4
1/4 x = 4
multiply both side by 4
x= 4×4
x = 16
%error=100(estimate-actual)/actual
%e=100(50-40)/40=25%
can't see the whole question but...
40(60/100)=24
so 24/40=3/5 carry a phone.
24 students carry a phone.
