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alukav5142 [94]
3 years ago
8

A trapezoid has an area of 180 square feet. One base is 14 feet long. The height measures 20 feet. What is the length of the oth

er base?
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

4

Step-by-step explanation:

180= ((14+b)20)/ 2

(2)180=((14+b)20)2

360=(14+b)20

360/20=(14+b)/20

18=14+b

4=b

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At the mall, buying a pair of shoes and buying a book are independent events.The probability that a shopper buys shoes is 0.15.
IRISSAK [1]

Answer:

The probability that a shopper buys shoes and a book is 0.015

Step-by-step explanation:

we are given

The probability that a shopper buys shoes is 0.15

so, we have

p(s)=0.15

The probability that a shopper buys a book is 0.10

so, we have

p(b)=0.10

the probability that a shopper buys shoes and a book can be written as

p(s∩b)

we are given that

s and b are independent

so,

p(s∩b)=p(s)\times p(b)

now, we can plug values

p(s∩b)=0.15\times 0.10

p(s∩b)=0.015


4 0
3 years ago
Read 2 more answers
What is the range of possible sizes for side x? PLEASE HELP
aleksandr82 [10.1K]
The answer would be 0.5
7 0
3 years ago
Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the othe
Taya2010 [7]

Answer:

y  + 4x - 6 = 0

Step-by-step explanation:

Rearranging the given equation:-

4y = x + 24

y = 1/4 x + 6  

This has a y intercept of  (0, 6) and a slope of 1/4.

Thus, the other line has a slope of -4 and  passes through the point (0,6) also.

Using the Point-slope form of a straight line:-

y - y1 = m(x - x1)

y - 6 = -4(x - 0)

y  + 4x - 6 = 0  is the required equation  

4 0
3 years ago
Graph the function y=square root x+6+2. which poits lies on the graph?
Zolol [24]
Hello :
y= <span>√(x+6) +2
 answer :
</span><span>d.(-2,4) 
because : when  x =-2        y =</span>√(-2+6) +2  = √4 +2 2+2 = 4
7 0
3 years ago
How many 4 digit multiples can not be divided by 5
Advocard [28]

Answer:

1800

Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

X=3 (mod 5)

X =4 (mod 5)

X=1+5 t where t is any integer.

1+5 t=2 (mod 5)

5 t=1 (mod 5 )

5 is the Modular Inverse of modulo 5

t=1 (mod 5)

t =1+5 u : u= any integer.

X becomes 1+ 5 (1+5u )=6+25 u

6+25u =3 (mod 5)

25 u= -3 (mod 5)=2 (mod 5)

25 is Modular Inverse of Modulo 5

u=2 (mod 5)

u =2+5 v : v= any integer.

X becomes 6 +25 (2+5 v)=56+125 v .

56 +125 v=4 (mod 5)

125 v=-52 (mod 5)=3 (mod 5)

125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

w=200

X=1003 : Lowest 4 digit number.

Take w=201

X=208 : Next number.

For 4 digit largest number, take

w=1995

X= 9978 : Largest number.

No. of Numbers =(1995 - 200 )+1=1800 □Ans.

8 0
3 years ago
Read 2 more answers
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