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Aliun [14]
3 years ago
7

An object is launched straight up into the air with an initial velocity of 40 meters per second, from a height 30 m above the gr

ound. How many seconds later will the object hit the ground?
Enter your answer as a number rounded to the nearest tenth, such as: 42.5
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

8.8 seconds

Step-by-step explanation:

Taking g = 9.81 m/s²

Convention: downwards positive

30 = -40t + 0.5(9.81)t²

4.905t² - 40t - 30 = 0

t = 8.846327763, -0.6913838279

t = 8.8s

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The table shows the estimated number of deer living in a forest over a 5 year period. Which type of function best models the dat
jek_recluse [69]

Answer:

C ) exponential :  y = 100 * 0.79^x

Step-by-step explanation:

8 0
4 years ago
What effect does a scale factor equal to 1 have on the dimensions of the image being scaled?
FromTheMoon [43]

The scale factor equal to 1 will have No Effect on the dimensions of the image being scaled .

In the question ,

it is given that ,

the scale factor is = 1.

we have to find the effect of change ;

we know that ,

when the value scale factor is greater than 1 , then dimensions of new image is larger than original .

when the value of scale factor is 1 , then there is no change in the dimensions of the image .

when the value of scale factor is less than 1 , then the dimensions of new image is smaller than the original .

Therefore , if the scale factor is 1 , then there is no change in the dimensions of the image .

Learn more about Scale Factor here

brainly.com/question/29545968

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4 0
1 year ago
What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

as an angle where the values of the six trigonometric functions are known divided by  2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify  

√

1

+

cos

(

135

)

2

√

2

−

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

2

Decimal Form:

0.38268343

…

6 0
4 years ago
The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour
Lubov Fominskaja [6]

Answer:

$7

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

6 0
3 years ago
4/3(6y+21)-17>43 help pls
dezoksy [38]

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

8 0
3 years ago
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