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3 years ago

Which expression is equivalent to 2−35,? Choose 1 answer:

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

Answer:

The answer is option A.

Step-by-step explanation:

2 - 35 can be written as 2 + (-35) since in 2+( -35) when the bracket is removed it becomes 2 - 35.

Hope this helps

romanna [79]3 years ago

4 0

Answer:

Your correct answer is option a. 2 + (-35)

Step-by-step explanation:

When you are finding which equation is equivalent to the one you have, the best thing to find is what your equation's answer is.

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If the number is divisible both 3 and 4, find the greatest common fact

madam [21]

12 | 3*4=12 therefor any number that is divisible by 3 and 4 is also divisible by 12

8 0

2 years ago

Use the rectangle hexagon with side length 10 meters to fill in the missing information

Vlada [557]

Answer:

$A_h=150\sqrt{3}\ m^2$

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

$x=5 m$

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

$\theta=360/12=30^o$

Now we have $\theta$ , the height of the triangle y is easily found by

$\displaystyle tan30^o=\frac{x}{y}$

Solving for y

$\displaystyle y=\frac{x}{tan30^o}=\frac{5}{ \frac{1} {\sqrt{3} }}=5\sqrt{3}$

The value of z can be found by using

$\displaystyle sin30^o=\frac{x}{z}$

$\displaystyle z=\frac{x}{sin30^o}=\frac{5}{\frac{1}{2}}=10$

The area of the triangle is

$\displaystyle A_t=\frac{xy}{2}=\frac{5\cdot 5\sqrt{3}}{2}=\frac{25\sqrt{3}}{2}$

The area of the hexagon is 12 times the area of the triangle, thus

$\displaystyle A_h=12\cdot A_t=12\cdot \frac{25\sqrt{3}}{2}=150\sqrt{3}$

$\boxed{A_h=150\sqrt{3}\ m^2}$

6 0

3 years ago

The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42. How much does the depth of the lake in

wlad13 [49]

42.8 in
Step-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by

Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y

After 4 years the depth will increase by 42.8 in

4 0

2 years ago

I'm having a hard time with my geometry class. Please help me!

Vedmedyk [2.9K]

Answer:

Angle EFG = 82 degrees; Angle GFH = 98 degrees

Step-by-step explanation:

Linear pairs are angles that are placed side by side. When you add them together, you get 180 degrees.

Show work:

3n + 22 + 4n + 18 = 180

7n + 40 = 180

7n = 140

n = 20

Plug in the variable:

Angle EFG:

3(20) + 22

60 + 22

Angle EFG = 82 degrees

Angle GFH

4(20) + 18

80 + 18

Angle GFH = 98

Check:

98+ 82 = 180 degrees

180 degrees was the total so the answer is correct.

3 0

2 years ago

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What is the equivalent of 4/12

sesenic [268]

Divide both numbers by a common multiple which will give you: 1/3

6 0

3 years ago

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