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oksano4ka [1.4K]
3 years ago
15

Similarly please help

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0
The area of triangle is base times height over two..so its hb/2.
-The base is OD so its OM +MD=4+10=14.
- the height is UM. You bring UM ( actually i forgot how to) then u do the math height x base all over 2
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a hiking trail is 20 kilometers long. park organizers want to build 5 rest stops for hikers with one on each end of the trail an
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The distance that will separate each rest stop is 4 kilometers.

<h3>What is the distance?</h3>

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

The distance = length of the trail / number of rest stops

20 km / 5 = 4km

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Write in its simplest form : 30 : 1 ¼ hour​
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A track runner is eager to see if practicing helps her improve. She has plotted data on her weekly 100-meter dash times (s) as w
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\displaystyle s = -\frac{1}{5}h + 20

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3 years ago
Define two variables. Write a system of equations, and then solve.
abruzzese [7]

Answer:

Step-by-step explanation:

Assume that the amount needed from the 5% acid is x and that the amount needed from the 6.5% acid is y.

We are given that:

The volume of the final solution is 200 ml

This means that:

x + y = 200

This can be rewritten as:

x = 200 - y .......> equation I

We are also given that:

The concentration of the final solution is 6%

This means that:

5%x + 6.5%y = 6% (x+y)

This can be rewritten as:

0.05 x + 0.065 y = 0.06 (x+y) ............> equation II

Substitute with equation I in equation II and solve for y as follows:

0.05 x + 0.065 y = 0.06 (x+y)

0.05 (200-y) + 0.065 y = 0.06 (200-y+y)

10 - 0.05 y + 0.065 y = 12

0.015y = 12-10 = 2

y = 2/0.015

y = 133.3334 ml

Substitute with the y in equation I to get the x as follows:

x = 200 - y

x = 200 - 133.3334

x = 66.6667 ml

Based on the above calculations:

The amount required from the 5% acid = x = 66.6667 ml

The amount required from the 6.5% acid = y = 133.3334 ml

7 0
3 years ago
Read 2 more answers
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