Step-by-step explanation:
so let's say that the width is x then the length is x+15
and the area of a square is length times width
x(x+15)=100
x^2+15x-100=0
(x+20)(x-5)=0
x=5 or x=-20 but a side length can't be negative so x would equal 5
Length=x+15 with 5 as x
Length=20
Width=5
Hope that helps :)
Answer:
sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5
Step-by-step explanation:
We need to find sine, cosine, and tangent of theta for this triangle.
First, define the different trigonometric functions:
- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)
- cosine is the adjacent side next to the angle divided by the hypotenuse
- tangent is the opposite side to the angle divided by the adjacent side
Now, look at theta (θ):
- the opposite side is marked 12
- the adjacent side is marked 5
- the hypotenuse is marked 13
So:
- sin(θ) = opposite / hypotenuse = 12/13
- cos(θ) = adjacent / hypotenuse = 5/13
- tan(θ) = opposite / adjacent = 12/5
Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.
Answer:
x = -8
<XCE = 30
Step-by-step explanation:
Remark
In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.
We have a little bit of both in this question.
Solution
3x + 174 = - 7x + 94 Alternate exterior angles. Add 7x to both sides.
3x+7x +174 = 94 Combine
10x + 174 = 94 Subtract 174 from both sides
10x = 94 - 174
10x = - 80 Divide by 10
x = - 80/10
x = - 8
===================
Check
3x + 174 = -24 + 174 = 150
-7x + 94 = -7*-8 + 94
-7x + 94 = 56 + 94 = 150
<XCE
<XCE = 180 - (3x + 174)
<XCE = 180 - (-24 + 174)
<XCE = 180 - (150)
<XCE = 30
Answer:
Step-by-step explanation:
In a right angled triangle, we have perpendicular, hypotenuse and base.
The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.
Applying formulas we can find the values:
the formulas are : cos (Ф) = Base / hypotenuse
sin (Ф) = Perpendicular / hypotenuse
tan (Ф) = Perpendicular / Base
11. cos z
cos z = Base / hypotenuse
cos z = 12/15
12. cos C
cos C = base / hypotenuse
cos C = 38/45
13. tan C
tan C = Perpendicular/ Base
tan C = 40/30
14. tan A
tan A = Perpendicular/ Base
tan A = 21/20
15. tan C
tan C = Perpendicular/ Base
tan C = 12/35
16. tan X
tan X = Perpendicular/ Base
tan X = 30/40
17. sin Z
Sin Z = Perpendicular / Hypotenuse
sin Z = 35/37
18. sin z = Perpendicular / Hypotenuse
sin z = 30/50
