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3 years ago

The value pie/2 is a solution for the equation 2sin^2x-sinx-1=0 true or false

Mathematics

1 answer:

Rasek [7]3 years ago

6 0

Answer:

Yes, $\frac{\pi }{2}$ is a solution

Step-by-step explanation:

Recall that $sin(\frac{\pi }{2})=1$ . By replacing $\frac{\pi }{2}$ in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution:

$2*(sin(\frac{\pi }{2} ))^2-sin(\frac{\pi }{2})-1= 2*(1)^2-1-1=2-2=0$

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On this map, Oxford Street is perpendicular to_______ , and Rosewood Street is perpendicular to ________. Assume that the street

melamori03 [73]

Hi there!

We are looking for perpendicular angles, which means the angle between the streets is 90 degrees. So, each time we need to find the street that intersects the given street with a 90 degree angle.

On this map, Oxford Street is perpendicular to Waterloo St., and Rosewood Street is perpendicular to Oak St..

The answers are (in correct order): Waterloo St. and Oak St..
~ Hope this helps you!

6 0

3 years ago

one month Miguel rented 5 movies and 3 video games for a total of $27. The next month he ordered 2 movies and 6 video games for

34kurt

Answer:

The price of each movie is $2.25

The price of each video games is $5.41

Step-by-step explanation:

Given as :

Miguel rented 5 movies and 3 video games for a total cost = $27

Next day Miguel rented 2 movies and 6 video games for a total cost = $36

Let The cost of each movie = $m

And The cost of each video game = $v

Now, According to question

5 m + 3 v = 27 .....1

2 m + 6 v = 36 ...........2

Now, solving the equation

2 × (5 m + 3 v) - (2 m + 6 v) = 2 × 27 - 36

Or, 10 m + 6 v - 2 m - 6 v = 54 - 36

Or, (10 m - 2 m) + (6 v - 6 v) = 18

Or, 8 m + 0 = 18

∴ m = $\dfrac{18}{8}$ = $\dfrac{9}{4}$

i.e m = $2.25

So, The price of each movie = m = $2.25

Again, put the value of m into eq 2

So, 2 × 2.25 + 6 v = 36

Or, 4.5 + 6 v = 36

Or, 6 v = 36 - 4.5

Or, 6 v = $32.5

∴ v = $\dfrac{32.5}{6}$

i.e v = $5.41

So, The price of each video games = v = $5.41

Hence, The price of each movie is $2.25 and

The price of each video games is $5.41 Answer

7 0

3 years ago

What is the average rate of change of the function f(x)=4(2)^x from x = 0 to x = 2? Enter your answer in the box.

bekas [8.4K]

average rate of change is just the slope from (0,f(0)) to (2,f(2))

basically, average rate of change=slope= $\frac{f(2)-f(0)}{2-0}$

evalaute each

f(2)=4(2)^2=4(4)=16

f(0)=4(2)^0=4(1)=4

so average rate of change= $\frac{16-4}{2-0}=\fracc{12}{2}=6$

average rate of change is 6

3 0

3 years ago

Read 2 more answers

A mathematical sentence that involves the sign ≥ is —

sveticcg [70]

The awnser is d inequality.

6 0

3 years ago

Read 2 more answers

B is the midpoint of AC and D is the mid point of CE solve for x given BD=3x + 5 and AE= 4x+20

Elena L [17]

Answer:triangle BCD is similar to triangle ACE (side, angle C, side)

AC = 2 BC

therefore AE = 2 BD

therefore

4x+20 = 2 (3x+5) solve that

Step-by-step explanation:

8 0

3 years ago