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Thepotemich [5.8K]
3 years ago
9

Date:

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

It's 3,114: )

Step-by-step explanation:

Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer

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How many 1/4 inch lengths of rod can be cut from 3 1/2 inch rod
stepan [7]

Answer:

14

Step-by-step explanation:

Shown in picture above.

5 0
2 years ago
A team is being formed that includes eight different people. There are eight different positions on the teams. How many differen
abruzzese [7]

Answer:

40320 different ways

Step-by-step explanation:

That problem is a permutation one

We have eight people to occupy  one position in a team, without any constraint at all

So

Total number of events   = P(8)

P (8)  =  8!

P (8)  =  8*7*6*5*4*3*2*1

P (8)  =  40320 different ways

6 0
3 years ago
the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
Anarel [89]

Answer:

The height of the pole is 167 m

Step-by-step explanation:

The given parameters are;

Increase  in the length of the shadow = 90 m

Initial angle of elevation of the Sun = 58°

Final angle of elevation of the Sun = 36°

We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase  in the length of the shadow  

We have by sin rule;

90/(sin (22°)  = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)

Let the initial ray from the top of the pole to the end of the shadow's length = l₁

90/(sin (22°)  = l₁/(sin(122°)

l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m

Therefore;

The height of the pole = 283.3 m × sin(36°) = 166.52 m

The height of the pole= 167 m to three significant figures.

3 0
3 years ago
Read 2 more answers
(−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team: A coordinate plane is show
galina1969 [7]

Answer:

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Step-by-step explanation:

When you reflect a point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign: it becomes (-x, y).

Thus, if a point P, say, (7,5) is reflected across the y-axis, its reflection P' becomes(-7,5)

3 0
3 years ago
The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA. A. XP = 1.5, PA = 7.5 B. XP = 2.4, PA = 6.6 C. XP =
mart [117]
The picture in the attached figure

we know that
RX+RA+XA=24
XA=24-RA-RX------> XA=24-11-4----> XA=9
XA=XP+PA
so
XP+PA=9------> XP=9-PA-----> equation 1

RX/XP=RA/PA

11*XP=4*PA-----> equation 2
substitute equation 1 in equation 2
11*[9-PA]=4*PA-----> 99-11*PA=4*PA----> 15*PA=99----> PA=99/15
PA=6.6
XP=9-PA-----> XP=9-6.6----> XP=2.4

the answer is the option
<span>B. XP = 2.4, PA = 6.6 </span>

8 0
3 years ago
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