Step-by-step explanation:
the area of a rectangle is
length × width.
our job here is to find all integer values for length and width, so that their product is 90.
that means that length and width are both factors of 90.
the factors of 90 are
1 × 90
2 × 45
3 × 30
5 × 18
6 × 15
9 × 10
10 × 9
15 × 6
18 × 5
30 × 3
45 × 2
90 × 1
the prime number grouping
is
2 45 (can't be divided by 2 anymore, so,
next prime factor)
3 15
3 5 (can't be divided by 3 anymore, so
next prime factor)
5 1 (the end)
so, besides 1 and these prime factors, the only other factors are combinations of these prime factors :
2×3 = 6
2×5 = 10
3×3 = 9
3×5 = 15
2×3×3 = 18
2×5×3 = 30
3×5×3 = 45
1.875
Step-by-step explanation:
Step 1 :
Given,
In ΔOPQ,
∠Q=90°,
PO = 17, QP = 8 OQ = 15
Step 2:
We know that the hypotenuse will be the largest side of a triangle.
So in the given triangle PO = 17 is the hypotenuse.
With respect to angle P, OQ represents the opposite side of angle P and PQ will be the adjacent side.
Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.
Step 3 :
So using the above we have,
tangent of angle P = opposite side /adjacent side = 15/8 = 1.875
Answer:
The answer is 240.
Step-by-step explanation:
The first equation (16 + 4) 12 And The equation 12 × ( 4 + 16) are the answer because these two equation has the same value as the question asked.
the answers are A. and C
Answer:
{x}={2}
{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}
{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}