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Fantom [35]
2 years ago
8

A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that

the ladder makes with the ground
Mathematics
1 answer:
Snezhnost [94]2 years ago
4 0
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees


Hope this helps! :)
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What is the nth term rule of the linear sequence below?
timurjin [86]

Answer:

T _{n} = a + (n - 1)d \\ T _{n}  = 13 + (n - 1) \times  - 6 \\ T _{n} = 13 - 6(n - 1) \\ T _{n} = 13 + 6(1 - n)

8 0
2 years ago
If road A and C are parallel and road D is 2000 feet, Road c has a section 650 feet long how long is the rest of it
Sophie [7]
I think,
Road C equals 650, because road A is parallel it must equal the same.
So, 650 + 650 = 1,300
We already know that Road D equals 2,000, add it all up.
1,300 + 2,000 = 3,300
Hope this helped :)
4 0
3 years ago
1.1. Which statement explains why the two systems of equations below have the
pochemuha

Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10     .......equation (1)

     2x - 5y = 12      .......equation (2)

B : 8x + 3y = 2         .......equation (1)

  12x + 16y = - 20    .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

8 0
3 years ago
PLs answer my question i need help<br>pls
fiasKO [112]

-12, 19 = 31

-2, -7 = 5

25, -1 = 26

What exactly does it mean by difference?  I'm just confused on what that question is stating.

-TTL

8 0
3 years ago
mr schiffer planted 9 fruit trees in his orchard. of the , 1/3 are grapefruit trees. how many trees are garapefruit trees
DENIUS [597]
If 1/3th of the trees are grapefruit trees and he planted 9 trees there is 3 grapefruit trees hoped this help
5 0
2 years ago
Read 2 more answers
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