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bekas [8.4K]
3 years ago
8

on a map 1/4 inch between locations represents an actual distance of 2 miles between the locations.Whatnis the actual distance,i

n miles between two cities that are 3 3/4 inches apart on the map

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0
Simply do 2 x 3 3/4=  30 
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3 years ago
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A pair of tow trucks are pulling on a trailer that is stuck
Varvara68 [4.7K]

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

A^{2}=B^{2}+C^{2}-2AB cos \alpha

so we can use the data given by the problem:

R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha

so we can solve this for R, so we get:

R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}

now we can substitute:

R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}

which yields:

R=10,244Lb

8 0
3 years ago
What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?
attashe74 [19]
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n  is 12

The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720

the answer is
265720



</span>
4 0
4 years ago
Which difference is about 10?
Vladimir79 [104]

Answer:

D. 65.7-65.6

<em>(</em><em>the</em><em> </em><em>exact</em><em> </em><em>difference</em><em> </em><em>is</em><em> </em><em>10</em><em>.</em><em>1</em><em>,</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em>"</em><em>about</em><em>"</em><em> </em><em>1</em><em>0</em><em>)</em>

5 0
3 years ago
Elimination method - -4x = 4y<br> 4x - 8y = 12
nika2105 [10]

Answer: (4,-4)

y=-4, x=4

Step-by-step explanation:

-4x=4y

4x-8y=12

-8y=-4x+12  Now I can substitute -4x for 4y

-8y=4y+12

-2y=y+12

-3y=12

y=-4

-4x=4y

-4x=4(-4)

x=4

6 0
3 years ago
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