Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do <u>the math</u> to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"<u>The Math</u>"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
Answer:
A. x = 13
y = (13√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = (26√3)/3
Adjacent = x
Opposite = y
✔️Apply CAH to find x:
Cos 30 = Adj/Hyp
Cos 30 = x/(26√3)/3
√3/2 = x*3/(26√3) (cos 30 = √3/2)
√3/2 = 3x/(26√3)
Cross multiply
2*3x = (26√3)*(√3)
6x = 26*3
6x = 78
x = 78/6
x = 13
✔️Apply SOH to find y:
Sin 30 = Opp/Hyp
Sin 30 = y/(26√3)/3
Sin 30 = y*3/(26√3)
½ = 3y/(26√3) (sin 30 = ½)
Cross multiply
2*3y = (26√3)*1
6y = 26√3
Divide both sides by 6
y = (26√3)/6
y = (13√3)/3
$2,424 was collected for the day
31(45)=1395
21(49)=1029
$2,424
We can not really tell in this question as you dont know the equation that is being used for the domain and range relationship but overall one should know that:
The set of values of the independent variable(s) for which a function or relation is defined as the domain of a function. Typically, this is the set of x-values that give rise to real y-values.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
When adding two together multiply:
log2 6 + log2 2 = log2(6*2) = log2 12
When you subtract 2 logs, divide:
So you have log2 12 / log2 8
Rewrite as log2 12/8
Simplify to get log2 3/2
The answer is C.
