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Alex_Xolod [135]
3 years ago
13

A trapezoid with a height of 8 feet and one base measuring 11 feet has an area of 112 square feet. find the length of the other

base
Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0
24. you are supposed to multiply 8x11 then add the other length. so, 8x11=88then add 24 which equals 112. Hope this helps! 
klio [65]3 years ago
4 0

Answer:

17 feet

Step-by-step explanation:

Area of Trapezoid is given by:

A = \frac{a+b}{2}\times h

Where, a and b are two bases, h is the height.

Given:

a = 11 feet

h = 8 feet

A = 112 square feet

b= ?

⇒112=\frac{11+b}{2}\times 8\\ \Rightarrow 112=4 (11+b)=44+4b\\ \Rightarrow 4b = 68 \Rightarrow b = 17

Thus, the length of the other base would be 17 feet.

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Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

 z-score_s = -3.36

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     z-score_s = \frac{ k - \= x_2}{s_2}

=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

      z-score = \frac{ c - \= x_1}{s_1}

     z-score = \frac{ 400 - 353}{30}

     z-score = 1.57

4 0
4 years ago
Find the critical value zα/2 that corresponds to a 98% confidence level.
SVETLANKA909090 [29]

A critical value is the point on the scale of the test statistic (z test in this case) outside which we reject the null hypothesis, and is taken from the level of significance of the test. The critical values can be obtained from the standard distribution tables for z and for this case, it is equivalent to:

critical value zα/2 at 98% confidence level = 2.326

Answer: 2.326

<span> </span>

4 0
3 years ago
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mr Goodwill [35]
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6 0
3 years ago
1) Miguel has a gift card to an electronics store. He has $ 150 on the card. He purchased a DVD for $ 20 and some games for $12.
GrogVix [38]

Answer:

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Step-by-step explanation:

If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.

This means he spent 12.5x for x number of games.

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150 - (12.5x + 20) = 17.5

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8 0
3 years ago
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yan [13]
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