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marta [7]
3 years ago
13

Melissa ran 6 2/5 miles north 2 3/4 west and 2 1/3 south how far did she run

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:11.5

Step-by-step explanation:

distance=6 2/5 + 2 3/4 + 2 1/3

d=(5x6+2)/5 + (4x2+3)/4 + (3x2+1)/3

d=32/5 + 11/4 + 7/3

d=(12x32+15x11+20x7) ➗ 60

d=(384+165+140) ➗ 60

d=689 ➗ 60

d=11.5

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Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabin
Likurg_2 [28]

Answer:

Area of the cabinet to be painted =    56 ft²

Step-by-step explanation:

The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.

Surface Area= 2 lb+ 2hb + 2lh

where l = length , b= breadth and h= height.

From the figure we see that the area of the bottom is given by length * breadth  so deducting this from the total surface area of the cuboid gives the surface of the cabinet.

Area of the cabinet  to be painted=  lb+ 2hb + 2lh

Putting the values we get

Area of the cabinet to be painted =  lb+ 2hb + 2lh

                                              = 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)

                                                = 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)

                                              = 4+ 2(8) +2(18)

                                               = 4+16+ 36

                                               56 ft²

This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.

3 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Dvinal [7]

Answer: Angle MNO

Step-by-step explanation: Supplementary angles equal 180, or a straight line.

4 0
2 years ago
Read 2 more answers
Must have third quartile of a data set be less than the maximum value? Explain.
frez [133]
Since there is an even number of values<span>, we </span>need<span> the mean of the middle two </span>values<span> to find the first </span>quartile<span>:                                                                                                                                                                                                  </span>The lower<span> half of a </span>data set<span> is the set of all </span>values<span> that are to the left of the median </span>value<span>when the data has been put into increasing order. 

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6 0
3 years ago
Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Nat
forsale [732]

Answer:

The null hypothesis would be

H0: μ1=μ2=μ3     (all the means of the three sites are equal)

Step-by-step explanation:

Site I          Site II          Site III

28                47               46

54                22               27

44                65               40

16                 56               22

21                 17                58

36

The null hypothesis would be

H0: μ1=μ2=μ3     (all the means of the three sites are equal)    against the claim

Ha:  μ1≠μ2≠μ3  (all the means of the three sites are not equal)

Which if H0 is true, has an F -distribution with v1=k-1 and v2= n-k degrees of freedom.

ANOVA (one way of analysis of variance ) can be applied to test this hypothesis.

5 0
3 years ago
Answer this please Help
Goshia [24]

Answer:

x=10.75 in

Step-by-step explanation:

A = 390 = x(3x+4)

3x²+4x-390 =0

ax²+bx+c=0

x= (-b±√b²-4ac)/2a

x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3

We will consider only the x that gives us a positive answer because the dimensions cannot be negative.

x= (-2+√1174)/3 = 10.75456113≈ 10.75

6 0
2 years ago
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