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vlada-n [284]
3 years ago
7

Help me with my last question plz

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

57

Step-by-step explanation:

Angle IHK and JKH are alternate angles.

Alternate angles are equal

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How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
What’s the reciprocal of 1/5
In-s [12.5K]
5/1 is the reciprocal of 1/5
8 0
3 years ago
Read 2 more answers
Use paper to work out your answer. Talia bought a home for her pet turtle. The rectangular tank is 3 feet long, 1 foot wide, and
vampirchik [111]

Answer:

to find the volume use this formula

V=l*w*h

so we multiply 3 by 1 by 2 which makes 6

V=3*1*2

V=6 cubic ft

Step-by-step explanation:

8 0
3 years ago
8. You have 160 meters of fencing to enclose a rectangular pen for your dog. To provide sufficient running
kolbaska11 [484]

Perimeter is the sum of the length of the sides used to make the given figure. The length and the width of the rectangle are 60 meters and 20 meters, respectively.

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

Perimeter is the sum of the length of the sides used to make the given figure.

Let the width of the rectangle be represented by x.

Given that the pen should be three times as long as it is width. Therefore, the dimensions of the rectangle can be written as,

Width of the rectangle = x

Length of the rectangle = 3x

Also, it is given that the perimeter of the rectangle should be equal to 160 meters, therefore, we can write,

Perimeter = 2(Length + Width)

160 = 2(3x + x)

160 = 2(4x)

160 = 8x

x = 160/8

x = 20 meters

Now, the dimensions of the rectangle can be written as,

Length = 3x = 3 × 20 meters = 60 meters

Width = x = 20 meters

Hence, the length and the width of the rectangle are 60 meters and 20 meters, respectively.

Learn more about perimeter here:

brainly.com/question/10466285

#SPJ1

7 0
1 year ago
Darius deposits $300 into a new savings account. The account earns at a rate of 2.18% every 6 months. How much money does Darius
tankabanditka [31]
45.87= 2.18 plus 300 is 345.87 hope this is correct if not im soooo sorry 
5 0
3 years ago
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