Need Help NO LINKS please Special Right Triangles (Radical Answers)
1 answer:
Answer:
x = (or
if it needs to be represented as a rational denominator)
Step-by-step explanation:
We know that;
1.) This triangle is equilateral, and because of the line segment it's divided into 2 right triangles.
2.) The base of the whole triangle would be 4, and the base of the right triangle would be 2, since the base is cut in half with a mid point.
Therefore we can say;
A² + B² = C²
x² + 2² = 4²
x² + 4 = 16
x² = 16 - 4
x² = 8
x =
Simplifying this further would be;
=
=
(or
if it needs to be represented as a rational denominator)
Hope this helps!
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Answer:
a = and b =
Step-by-step explanation:
As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)
We use trigonometric formulas to find out a and b
- Sin(45) = opposite side / hypotenuse
<=> Sin(45) = b / 1
<=> b= Sin(45)*1 =
- Cos(45) = adjacent side / hypotenuse
<=> Cos(45) = a / 1
<=> a = Cos(45)*1 =
So: a = and b =
Answer:
30% students
Step-by-step explanation:
Let x be the number of total students of a school.
63% are girls then total number of girls = (0.63)x
37% are boys then total number of boys = ( 0.37)x
Now 23% of girls wear contacts then total number of girls
= (0.63x) × 0.23
= (0.1449x)
And 42% of boys wear contacts then total number of boys wearing contacts
= (0.37x) ( 0.42)
= (0.1554)x
Total students wears contacts = ( 0.1449x) + (0.1554x)
= (0.3003x)
Percentage of students wear contacts = × 100
= × 100
= 30%
All 30% students wear contacts.