C = sin⁻¹ (sin(B) * c / b) = sin⁻¹ (sin [90degrees] * 6 / 12.00) = 30 degrees
Answer:
The correct options are:
A, B, and E.
Step-by-step explanation:
A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.
This is the only criteria we need to check, now let's analyze each option.
A: 4 - d = 12
This can be true or false, for example, if d = 0 the sentence is false because:
4 - 0 = 12
4 = 12 is false.
and if d = -8 the sentence is true, because:
4 - (-8) = 12
4 + 8 = 12
12 = 12
is true.
B: 4 - V > 2
This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.
C: 3 + 2
Now, here we can't say if this is true or false, so this is not a mathematical sentence.
D: 59
Same as before, this is just a number.
E: 6 + a = 13
This can be true or false, depending on the value of a, then this is a mathematical sentence.
F: 12*x
Here we can not say if this is true or false, so this is not a mathematical sentence.
The correct options are:
A, B, and E.
Answer:
Step-by-step explanation:
The diagram of triangle AMK is shown on the attached photo. To determine AM, we would apply trigonometric ratio since triangle AMP is a right angle triangle.
Sin# = opposite/hypotenuse
Sin 72 = 10/AM
AMSin72 = 10
AM = 10/Sin72 = 10/0.9511
AM = 10.51
To determine MK,
Cos# = adjacent/hypotenuse
Cos 50 = 10/MK
MKCos50 = 10
MK = 10/Cos50 = 10/0.6428
MK = 15.6
AK = AP + KP
Tan# = opposite/adjacent
Tan 72 = 10/AP
AP tan 72 = 10
AP =10/tan72 = 10/ 3.0777 = 3.25
Tan 50 = KP/10
KP = 10tan50
KP= 10× 1.1918 = 11.918
Therefore,
AK = 3.25 + 11.918 = 15.168
Step-by-step explanation:
5(3x+2)-2(4x-1)
15x+10-8x+2
7x+12
