Answer:
Step-by-step explanation:
63= 3 * 3 * 7
63 will come in 7th table. 7*9. here 7 is a prime and 9 is composite number. 3*3 = 9. So 63 = 3*3*7
From the blue print , the dimensions of the television stand is 1 in x 2 in. so the actual dimension of the trisha's television stand can be calculated:
w = 1 in ( 2 ft / 1 in )
w = 2 ft
l = 2 in ( 2 ft / 1 in )
l = 4 ft
so the actual dimensions of the television stand is 2 ft x 4 ft
Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
Answer:
72 percent of the total houses are small
Step-by-step explanation:
The first step is to know the total apartments from the ratio: This is got by adding 18 + 7 = 25
The ratio of small apartments to regular ones is 18:7
To get the percentage that is small, we have to express the number of small houses when compared to the total available apartments. (<em>Note: not the regular ones) </em>as a percentage.
This will be (18/25) X 100 = 72%
Therefore, 72 percent of the total houses are small
Answer:
a=21
AB=23.9
BC=19.5
CD=(23.9)
AD=19.5
Step-by-step explanation:
Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:
a-1.5=19.5
add 1.5 to both sides
a=21
now substitute 21 in for a in each equation.
AB=CD so
AB=23.9
BC=AD so
BC=19.5
CD=(21)+2.9 so
CD=(23.9)
AD is given so
AD=19.5
