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german
3 years ago
5

Based on past experience, a building contractor sets the

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer: $5100

Step-by-step explanation:

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Solve for x on the interval 0≤x&lt;2pi<br><br> cos(3x)=1/2
Ede4ka [16]

We will see that the solution in the given interval is: x = 0.349 radians.

<h3>How to solve equations with the variable in the argument of a cosine?</h3>

We want to solve:

cos(3*x) = 1/2

Here we must use the inverse cosine function, Acos(x). Remember that:

cos(Acos(x)) = Acos(cos(x)) = x.

If we apply that in both sides, we get:

Acos( cos(3x) ) = Acos(1/2)

3*x = Acos(1/2)

x = Acos(1/2)/3 = 0.349

So x is equal to 0.349 radians, which belongs to the given interval.

If you want to learn more about trigonometry, you can read:

brainly.com/question/8120556

7 0
2 years ago
Find the width of the rectangular prism when the surface area is 208 centimeters
BlackZzzverrR [31]

Use the surface area formula of a rectangular prism to find the width. (I have changed it to use the same terms given in the problem).


A

=

2

(

d

w

+

h

w

+

h

d

)


Because of the given information, it is known that:


A

=

208


h

=

8


d

=

6


The width is not know, so let it keep it's variable

w

. But substitute the other values into the equation:


A

=

2

(

d

w

+

h

w

+

h

d

)


208

=

2

[

6

w

+

8

w

+

(

8

)

(

6

)

]


208

=

2

(

14

w

+

48

)


Use the distributive property to solve the right side of the equal sign:


208

=

2

(

14

w

+

48

)


208

=

28

w

+

96


112

=

28

w


112

28

=

w


4

=

w


The width is

4

.

5 0
4 years ago
4y + 7x - 3y + 2x please help me answer thx
Nina [5.8K]
4y+7x-3y+2x
 
(7x+2x)+(4y+-3y)

=9x+y
7 0
4 years ago
Read 2 more answers
Solve the following system of equations:
SIZIF [17.4K]

xy = 4 \\ 2y = x - 6 \\  \\ xy = 4 \\ x = 6 + 2y

(6 + 2y)y =  - 4 \\  {y}^{2}  + 3y  +  2 = 0 \\ d =  {3}^{2}  - 4 \times  2 = 9  -  8 = 1 =  {1}^{2}

y =  \dfrac{ - 3 + 1}{2}  =  - 1 \\  \\  y =  \dfrac{ - 3 - 1}{2}  =  - 2

- 2x =  - 4 \\ x =  2 \\  \\  - x =  - 4 \\ x = 4

Answer: B) (2; -2), (4; -1)

4 0
4 years ago
Instructure.com
malfutka [58]

Answer:

40%

Step-by-step explanation:

Count the total numbers of tallies. How many tallies you got put over the total number of A&B

Example: A- III B- IIII Total number of the whole chart- IIIII IIIII IIIII

7/15 and then %/100 which would be a number equal to 7/15.

I'm guessing you got the same question as me and my answer was 40%

4 0
3 years ago
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