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3 years ago

What is the distance between (5,2) and (-3,4) on a coordinate plane

1 answer:

5 0

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 5}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ -3}}\quad ,&{{ 4}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-3-5]^2+[4-2]^2}$

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Write the measure 29° 6' 6" as decimal to the nearest thousandth.

den301095 [7]

This angle is "29 degrees 6 minutes 6 seconds".

-- There are 60 minutes in 1 degree.
   So 1 minute = 1/60 degree.

-- There are 60 seconds in 1 minute.
      So 1 second = 1/60 minute = 1/3600 degree.

29 6' 6" = (29)° + (6/60)° + (6/3600)°

   = (29)° + (0.1)° + (0.001666...)°

   = 29.101666...°

Rounded to the nearest thousandth of a degree: 29.102°

6 0

3 years ago

Probability help!!!!!

nirvana33 [79]

Let A be the event $A=\{choosing \;an \;odd \;number\}$ and B be the vent $B=\{choosing \;an \;even \;number\}$ . Since the intersection of the events $A\cap B=\phi$ , the events A and B are mutually exclusive.

The number is either odd or even. Since $P(A)+P(B)=1$ , the events are mutually exclusive and exhaustive.

Correct choice is "the number is either odd or even".

7 0

3 years ago

Can anyone help me ? I just need the numbers

Nimfa-mama [501]

Answer:

(-6, 0) and (0, 1.5)

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 = 1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)

7 0

3 years ago

michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches

belka [17]

Answer:

1695.6 in³

Step-by-step explanation:

Cylinder volume formula: V= πr²h

Given

h = 15 in
r = 6 in

Volume of soup pod

V = 3.14*6²*15 = 1695.6 in³

8 0

3 years ago

A freight elevator has a weight limit of 2 tons. each crate that is loaded weighs 80 pounds. what is the greatest number of crat

trasher [3.6K]

step 1
convert pounds to ton
1 ton------> 2204.62 lb
each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton

step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate

the answer is
the greatest number of crates that can be loaded onto the elevator is 55

alalternative method
step 1
convert ton to pounds
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb

step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate

7 0

4 years ago