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gtnhenbr [62]
3 years ago
5

Find the length of side a. 5 3 O A. 16 O B. 34 O c. 2 O D. 4

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

Answer:

D

Step-by-step explanation:

a=\sqrt{c^{2} -b^{2} }

\sqrt{5^{2} -3^{2} } =4

a=4

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Evaluate Cot0 if sin0= square root of 6/5
Lina20 [59]
To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
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6 0
3 years ago
A softball player throws a ball into the air with an initial velocity of 32 feet per second. The ball is released at a height of
Flura [38]

The time that the ball is in the air if the player lets the ball drop is 2.145 sec

What is a quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

-16t²+32t+5

by comparing this equation to the standard form of the quadratic equation we get

a=-16 b=32 c=5

the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:

the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)

t = -32/2×-16

t=1sec

by putting h(t) to zero and determining the time (t) when the ball hits the ground:

-16t²+32t+5=0

-16(t²+2t+5/16)=0

t²-2t-5/16=0

(t)²-2×1×t+(1)²-5/16=1

(t-1)²=21/16

t-1=√21/√16

t=1+4.58/4

t=1+1.145

t=2.245sec

Learn more about quadratic equations here:

brainly.com/question/1214333

#SPJ1

6 0
1 year ago
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