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N76 [4]
3 years ago
6

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

hole number.) 5,280 feet = 1 mile
Mathematics
1 answer:
Sonja [21]3 years ago
8 0
To solve this problem, we are going to use a scientific/mathematics strategy called Dimensional Analysis.

40 miles / 1 hour * 5280 feet / 1 mile = 211200 feet / 1 hour

211200 feet / 1 hour * 1 hour / 60 minutes = 3520 feet/ 1 minute

3520 feet / 1 minute * 1 minute / 60 seconds = approximately 59 feet / 1 second


Jackrabbits travel approximately 59 feet per second, when rounded to the nearest whole number.

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alexandrea and imani each think of a number. alexandras number is 8 more than Imanis number. the sum of two numbers is 50. what
juin [17]
Alexandera=a
imani=i

a is 8 more than i or
a=8+i

the sum of the 2 numbers is 50 or
a+i=50

a=8+i
so subsitute 8+i for a in a+i=50
8+i+i=50
8+2i=50
subtract 8 from both sides
2i=42
divide both sides by 2
i=21

subsiutte into a=8+i

a=8+21
a=29



a=29
i=21
3 0
3 years ago
Judy pays $29 for 8 gallons of gas and 2 bottles of water. Carmen pays $45 for 12 gallons of gas and 4 bottles of water. How muc
Dmitry [639]
G=gas
w=bottle of water

8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.

-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25

Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.

12 (3.25) + 4 (1.5)=45
39 + 6=45

One bottle of water is $1.50, while one gallon of gas is $3.25.
5 0
4 years ago
Find f.<br><br> A) 7.4<br><br> B) 8.2<br><br> C) 10.5<br><br> D) 11.1
tatyana61 [14]
F=72

g=6

------------

\cos { \left( F \right)  } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }

Therefore:

\cos { \left( 72 \right)  } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right)  } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }

\\ \\ 12e\cdot \cos { \left( 72 \right)  } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right)  } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 }  } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right)  }  \right) +36 }

But what is e?

E=76

G=32

g=6

And:

\frac { e }{ \sin { \left( E \right)  }  } =\frac { g }{ \sin { \left( G \right)  }  }

Which means that:

\frac { e }{ \sin { \left( 76 \right)  }  } =\frac { 6 }{ \sin { \left( 32 \right)  }  } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  }

If you take this value into account, you will discover that f is...

f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  } \left( \frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  } -12\cos { \left( 72 \right)  }  \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)

So I would have to say that the answer is approximately (c).
6 0
3 years ago
Angle of 74° with the ground if the foot of the latter 6.5 feet from the wall, how high on the wall is the ladder?
Pie
Tanα=h/x

h=xtanα, we are told that x=6.5ft and α=74° so

h=6.5tan74 ft

h≈22.67 ft  (to nearest hundredth of a foot)
7 0
3 years ago
The graph of quadratic function p is shown on the grid. (-3, 3) (3, 3) If (x) = x and p(x) = 5(x) + n, what is the value of n?​
aliina [53]

Answer:

Step-by-step explanation:

4 0
3 years ago
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