Answer:
3.63E-5
Step-by-step explanation:
Convert 3.63 x 10^-5 from a scientific calculator
We do this by raising 10^n power * whole number entered where n=-5
3.63 x 10^-5 converted to a number = 3.63 x 1.0E-5
3.63 x 1.0E-5 converted to a number = 3.63E-5
Answer:
480 students are transported to school each day.
Step-by-step explanation:
Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...
12 x 40 = 480
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
_____
As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
Answer:
x=-15, y=25. (-15, 25).
Step-by-step explanation:
2x+3y=45
x+y=10
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x=10-y
2(10-y)+3y=45
20-2y+3y=45
20+y=45
y=45-20
y=25
x+25=10
x=10-25
x=-15