Answer:
b = 17
Step-by-step explanation:
Pulling out like terms :
1.1 Pull out like factors :
425 - 25b = -25 • (b - 17)
Equation at the end of step 1 :
Equations which are never true :
2.1 Solve : -25 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : b-17 = 0
Add 17 to both sides of the equation :
b = 17
One solution was found :
b = 17
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Answer:
The Length of JM is 20.
Step-by-step explanation:
Given,
JKLM is a kite in which JL and KM are the diagonals that intersect at point A.
Length of AK = 9
Length of JK = 15
Length of AM = 16
Solution,
Since JKLM is a kite. And JL and KM are the diagonals.
And we know that the diagonals of a kite perpendicularly bisects each other.
So, JL ⊥ KM.
Therefore ΔJAK is aright angled triangle.
Now according to Pythagoras Theorem which states that;
"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".

On putting the values, we get;

On taking square root onboth side, we get;

Again By Pythagoras Theorem,

On putting the values, we get;

On taking square root onboth side, we get;

Hence The Length of JM is 20.
Answer:
44.73 m
Step-by-step explanation:
Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.
Using trigonometry ratio, the height of the tower can be calculated by
Tan Ø = height / base
Tan 25 = height / 120
Make height the subject of formula
Height = 120 × tan 25
Height = 55.96 m
How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?
Using the same formula to calculate the new height.
Tan 40 = new height / base
Tan 40 = new height / 120
Make the new height the subject of the formula.
New height = 120 × tan 40
New height = 100.69 m
Increase in height = new height - height
Increase in height = 100.69 - 55.96
Increase in height = 44.73m
Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.
Answer:
When x =1, y = 3(1) + 4 = 7
When x = 2, y = 3(2) + 4 = 10
When x = 3, y = 3(3) + 4 = 13
Answer:
1/2
Step-by-step explanation:
Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.
(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)
So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).
Our probability of getting a green marble is
, which simplifies to 