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rjkz [21]
3 years ago
11

The height of a soccer ball that is kicked from the ground can

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

87.5

Step-by-step explanation:

By completing the square,

y

=-14x^2+70x

=-14(x^2-5x)

=-14(x-5/2)^2+175/2

the max. height=175/2

i.e. 87.5

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11900cm = yard(s)?<br> show work.
AnnZ [28]

Answer:

≈130.14 yards

Step-by-step explanation:

\:\:\:1\:cm\:\:\:\:\:\: =0.0109361\:yards\\11900\:cm = \:x\:yards

Cross Multiply

x = 11900\times 0.0109361\\\\x = 130.13959\\\\x = 130.14 \:yards

6 0
3 years ago
(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must
lions [1.4K]

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

7 0
3 years ago
Identify the reflection rule on a coordinate plane that verifies that triangle A(-2,3), B(-3,-2), C(-10,0) and triangle A'(2,3),
stich3 [128]

Answer:

D

Step-by-step explanation:

These triangles would be Slided or Translated across a coordinate plane not reflected. :)

4 0
3 years ago
You downloaded a video game to your computer.You have 60-minute free trail of the game.It takes 5 minutes to set up the game and
Lorico [155]

6
that is the answer to the equation of your question
6 0
3 years ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
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