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2 years ago

Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Mathematics

2 answers:

Neporo4naja [7]2 years ago

6 0

Answer:

For the function

y = cos(1/2 x)

The x-intercept can be calculated by equating the function to zero and solving for x. So,

y = cos(1/2 x) = 0

1/2 x = arc cos 0

1/2 x = 90° +180°n

x =2 (90° +180°n)

x = 180° + 360°n

or converting to radians

x = (180° + 360° n)(π/180°)

x = π + 2π n

where n is any whole number

if n = 0

x = π

Therefore, the x-intercept is π or π+2π n

Step-by-step explanation:

Plz give me brainleist worked hard thanks

lara31 [8.8K]2 years ago

5 0

Answer:

its c

Step-by-step explanation:

i just took the test on plato

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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of

Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

$A=\dfrac{bh}{2}$

b - base

h - height

We have b = 21cm, h = 6cm.

Substitute:

$A=\dfrac{(21)(6)}{2}=63\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

We have b₁ = 2b₂, therefore b₁ + b₂ = 2b₂ + b₂ = 3b₂.

The area of a triangle and the area of a trapezoid are the same.

Therefore

$\dfrac{3b_2}{2}\cdot h=63$ multiply both sides by 2

$3b_2h=126$ divide both sides by 3

$b_2h=42$ divide both sides by h

$b_2=\dfrac{42}{h}$

$b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}$

8 0

2 years ago

Read 2 more answers

A flagpole casts a shadow of 10ft long. A girl standing nnext to the flagpole casts a shadow 2.5 ft. long.If the girl is 5 ft. t

loris [4]

Since we know that they have to e similar, it is a 20ft tall flagpole. the shadow of the girl is half of her height, so since the flag pole shadow is 10ft it is simple 10 multiplied by 2

3 0

3 years ago

Read 2 more answers

Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the

Ratling [72]

Answer:

25 and 21 hours respectively

Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

They worked a total of 46 hours. This means :

x + y = 46 hours.......(I)

Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

34x + 39y = 1669........(ii)

We then solve both simultaneously. From I, x = 46 -y

We can substitute this into ii

34(46 -y) + 39y = 1669

1564 -34y + 39y = 1669

5y = 1669 - 1564

5y = 105

y = 105/5 = 21

x = 46 - y

x = 46 - 21 = 25 hours

The numbers of hours worked by the welders are 25 and 21 respectively

4 0

2 years ago

How many solutions does this equation have? -3 – 7t = -7t - 3

nignag [31]

Answer:

3)infinitely many solution

Step-by-step explanation:

-3 - 7t = -7t - 3

-7t + 7t = -3 + 3

0 = 0

if there is same number on both side it have infinitely many solution.

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3 0

3 years ago

A freezer was sold during a clearance sale sale for $387.50. If the freezer was sold at a discount of 50/3%, what was the list p

telo118 [61]

Answer:

$465

Step-by-step explanation:

100 - 50/3 = 250/3

250/3 ÷ 100 = 5/6

$387.50 ÷ 5/6 = $465

6 0

3 years ago