Answer:
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Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
You can use a tangent:
We have opposite = 17 and adjacent = x.
substitute:
cross multiply
multiply both sides by √3
divide both sides by 3
Use the Pythagorean theorem:
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Other method.
triangle.
The sides are in the ratio 
Therefore
Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°
Answer:
7
Step-by-step explanation:
V = base x height
base = 5 x 6
5 x 6 = 30
V = 210
H = V/Base
H = 210/30
210/30 = 7
H = 7
