Answer
Find out the how high up the wall does the ladder reach .
To proof
let us assume that the height of the wall be x .
As given
A 25-foot long ladder is propped against a wall at an angle of 18° .
as shown in the diagram given below
By using the trignometric identity
now
Base = wall height = x
Hypotenuse = 25 foot
Put in the trignometric identity
x = 23.8 foot ( approx)
Therefore the height of the ladder be 23.8 foot ( approx) .
Answer:
7 is your answer
Step-by-step explanation:
Note the slope-intercept form:
y = slope(x) + y-intercept (or y = mx + b)
b is the y-intercept.
In this case, 7 is in the place of b, so 7 is your answer
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Complete question :
The diameter of the ferris Given is 63 feets
Answer:
3165 feets
Step-by-step explanation:
Given that :
Diameter of ferris = 63 feets
Recall :
Circumference of a circle = 2 * pi * Radius
Or
Circumference = pi * d
Hence,
Circumference of wheel = 3.14 * 63 = 197.82 feets
Distance traveled during one ride :
Circumference of wheel * number of revolutions
197.82 * 16 = 3165.12
= 3165 feets (nearest whole number)
Let the number of runs made on the home run be x, then for the <span>two 3-run home runs, we have 2x
Let the number of runs made in each hit be y, then for the 4 hits that each scored 2 runs, we have 4y.
Thus the algebraic expression to model the total score is 2x + 4y.
Because, there are 3 runs per home run, then x = 3 and because there are 2 runs per hit, then y = 2.
Therefore, the total score is given by 2(3) + 4(2) = 6 + 8 = 14.
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Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
Step 2: simplifying the coefficients of x:
Step 3: Adding 1/4 to both sides
Step 4: Multiplying both sides by 5/7
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
