Answer:
To hit the ground, it will take the watch:
Step-by-step explanation:
Making use of the provided equation:
- <u>h (t) = - 16t ^ 2 + initial height
</u>
Which can be modified specifically for this case:
- <u>h (t) = - 16t ^ 2 + 6400 feet.
</u>
Time must be replaced a certain number of times until the value is zero, this can be done one by one, but since it would be too many iterations I will show you some examples and what you could deduce in each case.
<em>With t = 1 second:
</em>
- h (1) = - 16 (1) ^ 2 + 6400 feet = 6384 feet (only the watch has dropped 16 feet)
<em>With t = 7 seconds:
</em>
- h (7) = - 16 (7) ^ 2 + 6400 feet = 5616 feet (has fallen 784 feet)
<em>With h = 15 seconds:
</em>
- h (15) = - 16 (15) ^ 2 + 6400 ft = 2800 feet (3600 ft has fallen, it is not long)
<em>With h = 21 seconds:
</em>
- h (21) = - 16 (21) ^ 2 + 6400 feet = -656 feet (When obtaining a negative number, it is understood that the time was too long, therefore a shorter time must be taken)
<em>With h = 20 seconds:
</em>
- <u>h (20) = - 16 (20) ^ 2 + 6400 feet = 0 feet
</u>
<u>Since with 20 seconds the exact value of zero is obtained, this time is the exact time it would take the watch to fall to the ground</u>, since when this time is reached the height (h) will be zero, that is, at ground level .
Sarah is selling bracelets. The inequalities are a > 10 and 2a + 3b ≥ 60.
<u>Solution:</u>
Given, Sarah is selling bracelets and earrings to make money for summer vacation.
bracelets cost = $2
earrings cost = $3
She needs to make at least $60.
Sarah knows she will sell more than 10 bracelets.
We have to write inequalities
Now, according to given information,
Total money ≥ $ 60
Money earned from bracelets + money earned by earrings ≥ 60
2 x number of bracelets + 3 x number of earrings ≥ 60
2a + 3b ≥ 60
[ where a is number of bracelets and b is number of earrings]
And, number of bracelets is more than 10 ⇒ a > 10
Hence, the inequalities are a > 10 and 2a + 3b ≥ 60
Answer:
0.9412
Step-by-step explanation:
Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.
Answer:
step 1: x+50+4x=90
the angle of a right-angled triangle is 90 degrees, therefore if we add everything together ,we could work out what x is.
step 2: x+50+4x=90
x+4x=50
5x=50
x=10
then you solve the equation, x is 10
Subtract -9 from both sides.
x2+6x−(−9)=−9−(−9)
x2+6x+9=0
Factor left side of equation.
(x+3)(x+3)=0
Set factors equal to 0.
x+3=0 or x+3=0
x=−3
Answer:
x=−3
