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Tomtit [17]
3 years ago
7

What is the value of a?

Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

<h2>a = 16</h2>

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

A=\dfrac{b_1+b_2}{2}\cdot h

b_1,\ b_2 - bases

h - height

We have:

A=128,\ b_1=a+2,\ b_2=a-2,\ h=8

Substitute:

128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8

128=8a          <em>divide both sides by 8</em>

16=a\to a=16

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Simplify the expression and write your answer in<br> scientific notation: (1.9 X 105)3
Alexandra [31]
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4 0
3 years ago
Can someone explain Part B to me please? I'm trying to practice for SBAC but I don't get this.
Finger [1]
On part A you put 1/2 being greater, so part B would be the opposite which would be 1/8
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3 years ago
1/3x=5/12 show your work
insens350 [35]

Answer:

4/5 or 0.8

Step-by-step explanation:

1/3x = 5/12

<em>cross</em><em> </em><em>multiply</em>

(12×1) = (5×3x)

<em>divide</em><em> </em><em>through</em> <em>by</em> <em>1</em><em>5</em>

x = 12/15

x = 4/5 <em>o</em><em>r</em><em> </em>0.8

3 0
3 years ago
You and a group of 7 friends go out for pizza. One large pizza and 3 medium drinks cost $21.96. One large pizza and 6 medium dri
Doss [256]

Answer:

Step-by-step explanation:

x = cost of drink

y = total cost

First information: "one large pizza and 3 medium drinks cost $21.96":

3a + b = 21.96

Second information: "one large pizza and 6 medium drinks cost $30.93":

6a + b = 30.93

{3a + b = 21.96

{6a + b = 30.93

{- 3a - b = - 21.96

{6a + b = 30.93

3a = 8.97

a = 2.99

3a + b = 21.96

3•2.99 + b = 21.96

8.97 + b = 21.96

b = 21.96 - 8.97

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Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:

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I hope I've helped you.

8 0
3 years ago
Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right
Dafna11 [192]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

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So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

4 0
3 years ago
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