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AfilCa [17]
3 years ago
15

Work out the size of the angle marked X. Give your answer correct to 1 decimal place.

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

41.8°

Step-by-step explanation:

We solve using the Trigonometric function of Sine

Hypotenuse = 15cm

x = θ

Opposite = 10cm

sin θ = Opposite/Hypotenuse

sin θ = 10/15

θ = arc sin ( 10/15)

θ = 41.810314896°

θ = Approximately to 1 decimal place = 41.8°

Therefore, x = θ = 41.8°

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Please Help me!!!
drek231 [11]

Step-by-step explanation:

The displacement of a particle d (in km) as a function of time t (in hours) is given by :

d=2t^3+5t^2-3

Displacement at t = 4 hours,

d(4)=2(4)^3+5(4)^2-3=205\ km

Velocity of particle is given by :

v=\dfrac{dd}{dt}\\\\v=\dfrac{d(2t^3+5t^2-3)}{dt}\\\\v=6t^2+10t

Velocity at t = 4 hours,

v=6(4)^2+10(4)=136\ km/h

Acceleration of the particle is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{d(6t^2+10t)}{dt}\\\\a=12t+10

At t = 4 hours,

a=12(4)+10=58\ km/h^2

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.

7 0
3 years ago
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which m
Monica [59]

Answer:

(x,y) right arrow (negative x , y)

Step-by-step explanation:

Mathematically, when we reflect a point over the x-axis; we have a result

The result is that the x- coordinate of the point reflected takes up a negative value

so what we have here is that;

(x,y) becomes (-x,y) once reflected over the y-axis

So, traditionally, we add the arrow

So our answer is thus;

(x,y) right arrow (negative x , y)

3 0
2 years ago
Tim and his family want to place a flower bed in the backyard and have a pretty border around it. They have chosen to make it a
abruzzese [7]

Answer:

Area = 60

Step-by-step explanation:

(h b)/2

h = 10

b = 12

12 x 10 = 120

120/2 = 60

(h = height and b = base)

6 0
3 years ago
Read 2 more answers
Let A and B be nxn matrices such that AB is singular prove that either A or Bis singular
Alex_Xolod [135]
\det(\mathbf{AB})=\det\mathbf A\times\det\mathbf B

Because \mathbf{AB} is singular, we have

\det(\mathbf{AB})=0

from which it follows that either \det\mathbf A=0 or \det\mathbf B=0.
4 0
3 years ago
A board measures 2½m by 1¼m and costs 750 naira. calculate the cost of 1m² of the board. ​
maw [93]

Answer:

240naira

Step-by-step explanation:

The board measures 2½m by 1¼m

The area of the board is;

2½× 1¼ = 5/2 × 5/4 = 25/8 m²;

But 25/8 m² cost 750 naira;

Therefore 1m² cost 750 / 25/8

750 × 8/25 =

30 × 8

240naira

3 0
3 years ago
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