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marin [14]
3 years ago
10

In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon

als. Find the length of the segment that is cut from that line by the legs of the trapezoid.
Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

if we name that part x, then we can say

1/x = 1/a + 1/b

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Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
natima [27]
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance. 
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

8 0
3 years ago
Can someone help me with 1-142 all the way to 1-144??
mezya [45]

CL.1.142):

A):      

x5 ==>      4 boxes  =   3ft   <==== x5

20 boxes   =       ?  ft

20 boxes  is    15 ft. high



B):   x3  ===>   4 boxes     =    3ft.  <==== x3

   ?   boxes           =          9ft.

       12 boxes  will fit in one stack.



c):  CL.143

 Perimeter  =     15  +  29  +  9  +  11  +  6  +  18   =====>  88m

A1    =    b  *   h

(18)(15)  

270m^2


A2    =   b  *  h

(11)(9)

99

Total  Area ======>   270    +    99   ======>  369m^2









CL.1-144

1/4    +   1/4   +   1/5     =    5/20    +   5/20   +   4/20    ====>    14/20

1/4  *    5/5  =====>  5/20

1/5   *    4/4    =====>  4/20

14/20      +      ?/20       =      20/20

?      =       6  Missing    Section

6/20      ======>     3/10





CL-1.145

A):   40/100       =     4/10   ====>   2/5

0.4            ========>    40%



B):    1/6  ======>   .00000

0.16 (Repeating 6)  ======>  16.6%



C):   37.5/100     =    375/1000     =======>     3/8

0.375      =========>   37.5%





CL-1.146

ADD:   1/6   +   1/2   show all steps:

1/6   +   1/2

1/6    +    3/6

1   +   3 / 6

4/6  =======>    2/3     =======>   Decimal:   =======>   0.666667






Hope that helps!!!!                                   : )


5 0
3 years ago
When we reject the null and the null is true, we have a made a _________ __________.
nydimaria [60]

When we reject the null and the null is true, we have a made a type I error

The null hypothesis in statistics states that there is no difference between groups or no relationship between variables. It is one of two mutually exclusive hypotheses about a population in a hypothesis test.

null hypothesis is denoted as H₀

Reject the null hypothesis when the p-value is less than or equal to your significance level. Your sample data favor the alternative hypothesis, which suggests that the effect exists in the population. When you can reject the null hypothesis, your results are statistically significant.

when the p-value is greater than your significance level, you fail to reject the null hypothesis.

Sometimes , we reject our null hypothesis even when its true

there we made a type I error in hypothesis

To know more about null hypothesis here

brainly.com/question/19263925

#SPJ4

3 0
1 year ago
What is 6 1/2% as a decimal
Sati [7]
6 1/2% as a decimal is 6.05. 6 is a whole number, and 1/2% is 0.05 in decimal form.
4 0
3 years ago
Read 2 more answers
In mathematics what is 1 plus 1
Sergio039 [100]
I believe the answer is 2
4 0
3 years ago
Read 2 more answers
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