Answer:
46/3
Step-by-step explanation:
|2a| - b/3
Plug in the values and evaluate.
|2(7)| - (-4)/3
|14| + 4/3
Apply | a | = a
14 + 4/3
42/3 + 4/3
= 46/3
Problem 24
<h3>Answer: w = 120</h3>
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Work Shown:
We have an isosceles triangle. The angles opposite the congruent sides are congruent. These are the base angles each 30 degrees. The missing angle is w. The three angles add to 180
(angle1)+(angle2)+(angle3) = 180
30+30+w = 180
60+w = 180
60+w-60 = 180-60 ... subtract 60 from both sides
w = 120
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Problem 25
<h3>Answers:</h3><h3>x = 6.5</h3><h3>y = 5</h3>
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Work Shown:
The angle marks are all the same, so the three angles are congruent to one another. We consider this an equiangular triangle. Any equiangular triangle is also equilateral, meaning all three sides are the same length.
So,
2x-5 = 8
2x-5+5 = 8+5 ... add 5 to both sides
2x = 13
2x/2 = 13/2 ... divide both sides by 2
x = 6.5
and also,
y+3 = 8
y+3-3 = 8-3 ... subtract 3 from both sides
y = 5
In "slope-intercept form"
y = mx +b
the value "m" is called the slope, and the value "b" is called the intercept.
There is another form for the equation of a line, called "point-slope form".
y = m(x -h) +k
where m is still the slope and (h, k) correspond to the (x, y) of the point.
If you write the equation of your line in this "point-slope form", it is easily manipulated to be in the "slope-intercept form".
Fill in
m = (-3/5)
h = -4
k = 0
y = (-3/5)(x -(-4)) +0
Now, you simplify this by using the distributive property.
y = (-3/5)x -(3/5)*4
y = (-3/5)x -12/5 . . . . . . . . . the desired equation
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Your understanding of math improves immensely when you become familiar with the terminology. A lot of the rest of it is pattern matching--identifying the parts of one expression that correspond to the parts of another one.
(You will see another version of the "point-slope form", but I find this one the easiest to use for manipulating the equation to other forms.)
Put one unit at top and other unit bottom. X for unknown
5 gallon / 20 hours = x gallons / 48 hours
Cross multiply
20x = 5*48
20x = 240
X= 12
Answer:
283 cm^2
Step-by-step explanation:
Solution:-
We have a cone with a circular base of radius r = 5 cm
The height of the cone is h = 12 cm
The slant height of the cone is L = 13 cm
We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:
Base Area : Circle

Curved Surface: conical

The total surface area of the cone can be written as ( A ):

Answer: The surface area of the cone to nearest whole number would be 283 cm^2