Answer:
1. is a 30 60 90 triangle so x = 30
pardon my bad handwriting for below
2.
STEP 1: subtract the angle you have from 180
STEP 2: add your x values together, if there is a non x number (such as + 10) balance it out on the other side by adding or subtracting
STEP 3: divide so that x has no coeffecient in front of it
STEP 4: substitute x values with the value you got
STEP 5: verify by adding the angles you got, it'll be correct if it equals 180
Answer:
![2.5\ m/s^2](https://tex.z-dn.net/?f=2.5%5C%20m%2Fs%5E2)
Step-by-step explanation:
Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.
![Force(F)=Mass(m)\times Acceleration(a)](https://tex.z-dn.net/?f=Force%28F%29%3DMass%28m%29%5Ctimes%20Acceleration%28a%29)
Initially:
![Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m](https://tex.z-dn.net/?f=Let%5C%20mass%3Dm%5C%20kg%5C%5C%5C%5Cacceleration%3D10%5C%20m%2Fs%5E2%5C%5C%5C%5CForce%28F%29%3Dm%5Ctimes%2010%3D10m)
At the end of the road:
![Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma](https://tex.z-dn.net/?f=Let%5C%20mass%3D4%5Ctimes%20m%5C%20kg%5C%5C%5C%5Cacceleration%3Da%5C%20m%2Fs%5E2%5C%5C%5C%5CForce%28F%29%3D4m%5Ctimes%20a%3D4ma)
![Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2](https://tex.z-dn.net/?f=Both%5C%20forces%5C%20are%5C%20equal%5C%5C%5C%5C4ma%3D10m%5C%5C%5C%5Cdivide%5C%20both%5C%20the%5C%20sides%5C%20by%5C%20m%5C%5C%5C%5C4a%3D10%5C%5C%5C%5Ca%3D%5Cfrac%7B10%7D%7B4%7D%5C%5C%5C%5Ca%3D2.5%5C%20m%2Fs%5E2)
Answer:
-6
Step-by-step explanation:
You multiply -2 by 3 and you get -6.
2 negatives or 2 positives equals a positive number in Multiplication and Division.
But a Negative number and a positive number equals a negative number in Multiplication and Division.
Answer:
9(4x - 1)
Step-by-step explanation:
The given linear expression is:
36x - 9
Since, 36 can be written as 9 times 4, we can rewrite the above expression as:
9(4x) - 9
Taking 9 as common, the expression changes to:
9 (4x - 1)
This linear expression can no linger be factorized further.
So,
36x - 9 = 9(4x - 1)
Brainliest for my virtuoso answer
9514 1404 393
Answer:
b = 71 m
A = 83°
C = 29°
Step-by-step explanation:
Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.
Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.
b = √(a² +c² -2ac·cos(B))
b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48
b ≈ 70.82005 ≈ 71 . . . meters
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One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.
sin(A)/a = sin(B)/b
A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°
A ≈ 83°
C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°
C ≈ 29°
Or, you can find the remaining angle from 180° -68° -83° = 29°.