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3 years ago

Find all the solutions to the equation: |cos2x|=1/2

1 answer:

8 0

|cos2x| = 1/2
|0.999390827019096x| = 1/2
0.9993908270196x = 1/2 
0.999390827016 0.999390827016
x = 0.5003047721941

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Beth left school driving toward the lake one hour before tim. tim drove in the opposite direction going 6 mph slower than beth f

m_a_m_a [10]

Beth's speed was 60 mph.

<h3>What is speed?</h3>

The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
Velocity is not the same as speed.

To find what was Beth's speed:

Beth's data:

time = 2 hrs; rate = r mph; distance = r×t = 2r miles

Tim's data:

time = 1 hr; rate = r-6 mph; distance = r-6 miles

Equation:

distance + distance = 174 miles

So,

2r + r - 6 = 174
3r - 6 = 174
3r = 180
r = 60 mph (Beth's rate)
r-6 = 54 mph (Tims's rate)

Therefore, Beth's speed was 60 mph.

Know more about speed here:

brainly.com/question/4931057

#SPJ4

3 0

2 years ago

What is the slope of the line 3x + 4y = -11? answers: 3\4 -3\4 3 4

AnnZ [28]

you need to make it in the form of y=mx+b, and m will be the slope
so...
3x-4y=7
subtract 3x from both sides
-4y=-3x+7
then divide both sides by -4
y=(3/4)x-7/4

so the slope is 3/4

8 0

4 years ago

How to find the missing side of a triangle while only given angles and one side?

OLga [1]

Hi there!

Since you haven't given any numbers, I'll explain what you can do to figure this problem out. First, determine what side you have in relation to the angle (is it adjacent to the angle, it is opposite the angle, is it the hypotenuse?). Then, determine which trigonometry function to use (Sine = opposite/hypotenuse, Cosine = adjacent/hypotenuse, Tangent = opposite/adjacent). Check out the image below if you're confused. Anyway, you can use trigonometry to find the missing side of a triangle when only given angles and a side. All you have to do is plug in the numbers given and solve. (In the image, the O with a line through it represents the angle measurement that will be plugged in there.)

Hope this helps!! :)
If you're still confused or would like help solving a trigonometry problem, feel free to send me a message!

8 0

3 years ago

the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high

marta [7]

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

The length is 40.20cm approx.

3 0

3 years ago

Angle A and angle B are supplementary angles.

Paha777 [63]

Solution:

As per the problem we have

Angle A and angle B are supplementary angles.

As we know that , two angles are supplementary angles if their sum is 180.

So when these two angles will be together on a plane will make a straight line.

Hence , when Angle A and angle B are supplementary angles.

Then

The sum of the angles is 180 degree.

4 0

3 years ago

Read 2 more answers