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OLEGan [10]
3 years ago
12

A ball is thrown from an initial height of

Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

Step-by-step explanation:

If we are looking for the times that the ball was 11 meters off the ground, we sub in 11 for the height on the left and solve for t:

11=-5t^2+30t+1 and

0=-5t^2+30t-10 and factor this however it is you are factoring in class to solve for t to get

t = .35 seconds and t = 5.6 seconds

Because the ball reaches this point in its way up and then passes it again on its way down, the ball will have 2 times at this height.

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Deffense [45]

Answer:

  5√3

Step-by-step explanation:

The ratio of side lengths in a 30-60-90 triangle is ...

  1 : √3 : 2

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Multiplying by 5, we have ...

  1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10

The value of y is 5√3.

_____

<em>Additional comment</em>

y is the side adjacent to the 30° angle, so can be found from ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse

  y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values

  y = 5√3

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The value of x is 5.

7 0
2 years ago
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The amount of oil used in four different recipes is shown in the table. Recipe Oil Bread 2/8 cup Cookies 1/3 cup Cake 1/5 cup Pi
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Answer:

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Step-by-step explanation:

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3 years ago
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HELP PLEASE 98 points
castortr0y [4]

Answer:

Given: ​ BD ​is an altitude of △ABC .

Prove: sinA/a=sinC/c

Triangle ABC with an altitude BD where D is on side AC. Side AC is also labeled as small b. Side AB is also labeled as small c. Side BC is also labeled as small a. Altitude BD is labeled as small h.

Statement Reason

​ BD is an altitude of △ABC .

Given △ABD ​ and ​ △CBD ​ are right triangles. (Definition of right triangle)

sinA=h/c and sinC=h/a

Cross multiplying, we have

csinA=h and asinC=h

(If a=b and a=c, then b=c)

csinA=asinC

csinA/ac=asinC/ac (Division Property of Equality)

sinA/a=sinC/c

This rule is known as the Sine Rule.

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4 years ago
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Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

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b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

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3 years ago
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Answer:

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Step-by-step explanation:

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