Answer:
y = 9.8995
Step-by-step explanation:
This question requires the use of basic trigonometry.
In this problem, we know one of the sides and two of the angles.
Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.
You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.
7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.
Hope this helped!
Answer:
The correct option is B
(-1)(1/2)(-1)(1)
Step-by-step explanation:
First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).
Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.
It is now between options B and C.
Option B, by inspection is simply 1/2
Option C is 12/4 = 3
The problem itself is 12/35
12/24 = 1/2
12/36 = 1/3
Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.
Answer:
You can fill 13.5 pages
Step-by-step explanation:
You would do 54 divided by 4 equals 13.5
Answer:
Step-by-step explanation:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°