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tensa zangetsu [6.8K]
3 years ago
12

A toy rocket is launched from a platform 24ft above the ground. The

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

4 sec

Step-by-step explanation:

let y = 0 which is the height when the rocket hits the ground

-3t^2 + 6t + 24 = 0

-3(t^2 - 2t - 8) = 0

-3(t - 4)(t + 2) = 0

t = 4  or t = -2

time cannot be negative, so t = 4 sec

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A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr
sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

h^{2} = a^{2} +b^{2}

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

h^{2} = 20^{2} +15^{2}

⇒ h^{2} = 400+225= 625

⇒h^{2} = 625

⇒h= \sqrt{625}= \sqrt{25^{2} }

We know \sqrt{x^{2} } = x.

∴h= 25\ miles

∴ Distance of Port from the Island is 25 miles.

6 0
3 years ago
The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e
photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

Step-by-step explanation:

percentage favoring construction of adjoining community = 47%

level = 0.05

To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

5 0
2 years ago
What Is 8÷856....Plz help
otez555 [7]
0.00934579439 Now I'm just waiting until 20 charac- done
4 0
2 years ago
what is the square root of 98 what is the square root of y to the 6th what is the square root of a to the 7th what is the square
Bogdan [553]
1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) =  2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) =  a^2b sqrt(10a)
8. sqrt(20x^3y^10 =  2xy^5 sqrt(5x)
7 0
3 years ago
A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?
4vir4ik [10]
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot  r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360
5 0
3 years ago
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