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lesya692 [45]
4 years ago
11

With 400,000 sq ft or 16% of total office space. How much space did the city have

Mathematics
1 answer:
DaniilM [7]4 years ago
8 0
If 400,000 is 16%, and "x" is say the 100%

well then    \bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
400,000&16\\
x&100
\end{array}\implies \cfrac{400000}{x}=\cfrac{16}{100}

solve for "x".
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Find the general solution and find the specific solutions over the interval [0,4pi]
Natasha2012 [34]

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

5 0
3 years ago
Which package has the lowest cost per ounce of rice ( 12, 18, 7)
Katarina [22]
The package with the most low cost is 7.
4 0
3 years ago
Find the measure of &lt;1. A) 104 degrees, B) 76 degrees , C) 38 degrees<br> Help due in 5 minutes
Annette [7]
It’s c because the triangle is a isosceles triangle meaning both base angles are the same! So a triangle equals 180°. So you subtract 104 from 180. Then divide it by 2 since the base angles are the same

180-104= 76

76/2=38°
3 0
3 years ago
Connor jogs at a constant rate of 3.5 miles per hour. The table shows the distance traveled for different numbers of hours. Drag
allsm [11]

Answer:

1st and 3rd go in the 1st box

2nd and 4th go in the 2nd box

last one goes in the last box

Step-by-step explanation:

1,2,3,4,5 and time spent jogging go in independent quantity

3.5, 7, 10.5, 14, 17.5 and distance traveled go in dependent quantity

m=3.5h goes in neither

3 0
3 years ago
Keegan jogs laps around a park playground. The playground is 90m long and 35m wide. How many laps will it take him to jog 1 km?
VMariaS [17]
It will take 3 laps. 90*35=3150 1000 m = 1 km
8 0
4 years ago
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