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Ipatiy [6.2K]
4 years ago
11

What is the answer to 8×{[(7+4)×2]-[(11-7)×4]}

Mathematics
1 answer:
Ymorist [56]4 years ago
3 0

Answer:

I believe that it is 48.

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If sinA = cosB, what is the relationship between A and B if A and B are both acute angled ?
Bess [88]

Answer:

We know sinA=cos(90−A)

Given, sinA=cosB

cosB=cos(90−A)

⇒B=90−A

⇒A+B=90

Hence, A+B=90

8 0
3 years ago
Two particles move in the xy-plane. At time t, the position of particle A is given by x(t)=5t−5 and y(t)=2t−k, and the position
Ipatiy [6.2K]

Answer:

Part A)  Not collide

Part B)  k = 4

Part C)  Particle B is moving fast.

Step-by-step explanation:

Two particles move in the xy-plane. At time, t

<u><em>Position of particle A:-</em></u>

x(t)=5t-5

y(t)=2t-k

<em><u>Position of particles B:-</u></em>

x(t)=4t

y(t)=t^2-2t+1

Part A)  For k = -6

Position particle A, (5t-5,2t+6)

Position of particle B, (4t,t^2-2t-1)

If both collides then x and y coordinate must be same

Therefore,

  • For x-coordinate:

5t - 5 = 4t    

       t = 5

  • For y-coordinate:

2t+6=t^2-2t-1

t^2-4t-7=0

t=-1.3,5.3

The value of t is not same. So, k = -6 A and B will not collide.

Part B) If both collides then x and y coordinate must be same

  • For x-coordinate:

5t - 5 = 4t    

       t = 5

  • For y-coordinate:

2t-k=t^2-2t-1

Put t = 5

10-k=25-10-1

k=4

Hence, if k = 4 then A and B collide.

Part C)

Speed of particle A, \dfrac{dA}{dt}

\dfrac{dA}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}

\dfrac{dA}{dt}=2\cdot \dfrac{1}{5}\approx 0.4

Speed of particle B, \dfrac{dB}{dt}

\dfrac{dB}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}

\dfrac{dB}{dt}=2t-2\cdot \dfrac{1}{4}

At t = 5

\dfrac{dB}{dt}=10-2\cdot \dfrac{1}{4}=2

Hence, Particle B moves faster than particle A

8 0
4 years ago
1. What is the value of x? 2. What is the value of x?
Ann [662]

1. x = (11y+8)/7

2. x = 12

8 0
3 years ago
Read 2 more answers
If f(x) = 5x2 + 3, find f(-2)<br> =
Brut [27]

Answer:To find this, all you have to do is plug in 3 where x is in the equation, which gives you this:

f

(

3

)

=

5

(

3

)

−

2

. From there, just find the value:

5

(

3

)

−

2

=

13

.

Step-by-step explanation: 13 is the answers sorry i looks like that

8 0
3 years ago
The first day of shooting a movie, a director uses 30% of a film reel. The strip of
wel

Answer:

27

Step-by-step explanation:

30% of 90 can be written as 30% × 90

= 30/100 × 90

= 27

4 0
2 years ago
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