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olchik [2.2K]
3 years ago
15

How do I find the midpoint of the segment with the given points

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
9 + (-4) = 5/2= 2.5
10 + 7 = 17/2 = 8.5
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A clock is positioned on an auditorium wall with its center 9 ft above the floor. The second hand on the clock is 10 inches long
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Step-by-step explanation:

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In this unit, you studied a handful of circle theorems. Research to find a circle theorem that wasn’t presented in this unit and
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The angle at the center of the circle is twice the angle at the circumference.

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1 year ago
A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?
mihalych1998 [28]
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach?  well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

\bf \begin{array}{lcccl}&#10;&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\&#10;&------&------&------\\&#10;\textit{pure water}&x&0.00&0x\\&#10;\textit{6\% solution}&5&0.06&0.3\\&#10;-----&------&------&------\\&#10;mixture&y&0.04&0.04y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+5=\boxed{y}\\&#10;0x+0.3=0.04y\\&#10;---------\\&#10;0.3=0.04\left( \boxed{x+5} \right)&#10;\end{cases}&#10;\\\\\\&#10;0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x
3 0
3 years ago
Herbert has three lawn-mowing jobs. One lawn is shaped like a trapezoid,
sergij07 [2.7K]

Answer:

4.125 hours

Step-by-step explanation:

Trapezoid shaped lawn :

Bases : 90 ; 126 ; height = 90

Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height

Area of trapezium = 1/2(90 + 126) * 75

Area = 108 * 90 = 8100 feets

Triangular lawn :

Height = 80 feets ; Base = 105 feets

Area of triangle = 1/2 base * height

Area = 1/2 * 80 * 105 = 4200 feets

Rectangular lawn :

Length = 120 feets ; width = 90 feets

Area of rectangle = Length * width

Area = 120 * 90 = 10800 feet²

Area of all 3 lawns = (8100 + 4200 + 10800) = 23100

In 2 hours ; Herbert can now (160 * 70) = 11200 feets

23100 / 11200 = 2.0625

Tine required to mow all three lawns :

2 hours * 2.0625 = 4.125 hours

= 4 hours, 7 minutes, 30 seconds

8 0
2 years ago
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