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Blababa [14]
3 years ago
6

write 700/200 as a terminating decimal. then describe two methods for converting a mixed number to a decimal

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
\frac{700}{200}=\frac{7}{2}\\\\\#1\\\frac{7}{2}=3\frac{1}{2}=3\frac{5}{10}=3.5\\\\\#2\\\frac{7}{2}=\frac{6+1}{2}=\frac{6}{2}+\frac{1}{2}=3+\frac{1}{2}=3+0.5=3.5\\\\\underline{0.5}\\1:2\\\underline{0}\\10\\\underline{10}\\R=0

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find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square unit
viva [34]
Pls. see attachment. 

We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.

Given:

51 degrees.

Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.

180 – 51 – 90 = 39 degrees

39 degrees * 2 = 78 degrees.

Angle Q is 78 degrees.

In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.

We will use the formula:

Sine theta = opposite / hypotenuse

Sin(78 deg) = opposite / 4.3

Sin(78 deg) * 4.3 = opposite

4.21 = opposite. This is also the height of the triangle.

 

Area of a triangle = ½ * base * height

A = ½ * 3units * 4.21units

A = 6.315 square units.

7 0
3 years ago
Mark wants to improve his free throw percentage in basketball He has shot 1,250 free throws over the last 20 days. He shot eithe
Sedaia [141]
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20

We also know that he shot total of 1250 shots:
50a + 100 b = 1250

We have two equations. We can solve them for a and b.  Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15

Mark shot 100 shots on 5 days.
4 0
3 years ago
What is the markup percent on a diamond for which the markup is $870 and the selling price is $2870?
ryzh [129]

Answer:

30.31%

Step-by-step explanation:

Mark up on selling price is given by markup*100%/selling price

In this case, markup is given as $870 while the selling price is $2870 hence the percentage of narkup to selling price will be given by \frac {870\times 100}{2870}=30.313588850174\approx 30.31

Therefore, the percentage of markup to selling price is approximately 30.31%

3 0
3 years ago
How many t-shirts were sold if you spent a total of $88
torisob [31]

Answer:

4 t-shirts because if one t-shirt is $22 then $88 divided by $22 is 4

5 0
3 years ago
Please help!!
atroni [7]
The answer you are looking for is a

8 0
3 years ago
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