Mathematics, 05.02.2020 09:57 cjtambasco

Need understanding the formula

a juggler is performing her act using several balls. she throws the balls up at an initial height of 4 feet, with a speed of 15 feet per second. if the juggler doesn't catch one of the balls, about how long does it take the ball to hit the floor?

hint: use h(t) = _16t2 + vt + s.

7.52 seconds
1.15 seconds
0.47 second
0.22 second

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Answer from: zaiinab

v is the initial speed and s is the initial height so the equation is

h(t) = -16t^2+15t+4

Set h(t) equal to 0 and solve for t

$-16t^2+15t+4=0
\\a=-16,b=15,c=4
\\x_{1,2}= \frac{-b \pm \sqrt{b^2-4ac}}{2a}= \frac{-15 \pm \sqrt{15^2-4(-16)4}}{2(-16)}=\frac{-15 \pm \sqrt{225+256}}{-32}=\frac{-15 \pm \sqrt{481}}{-32}
\\x_1=\frac{-15 + \sqrt{481}}{-32} \approx -0.22
\\x_1=\frac{-15 - \sqrt{481}}{-32} \approx 1.15$

Time must be positive, so the result is 1.15 seconds.

Answer from: Quest

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x) < ==== perimeter of the base of the box.

Abox is to be constructed with a rectangular base and a height of 5 cm. if the rectangular base must

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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