Answer:
1. 155 yd², 2. 379.54 ft², 5. x = 65.82π
Step-by-step explanation:
1. A = (1/2) · (3 + 13) · 8
A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²
2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²
3. and 4. Sorry, I don't know how to solve these
5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π
Hope this helps :)
as 0.95 is the same as decreasing by 5%
extra help:
to increase by 5% you times by 1.05x
Answer:
6,000 units3
Step-by-step explanation:
got it rt
Remember to follow the order of operation, PEMDAS. PEMDAS stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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5. 9(7x - 4) = 27
First, distribute 9 to all terms within the parenthesis:
9(7x - 4) = 27
(9 * 7x) - (9 * 4) = 27
63x - 36 = 27
Next, isolate the variable, x. Do the opposite of PEMDAS.
First, add 36 to both sides:
63x - 36 (+36) = 27 (+36)
63x = 27 + 36
63x = 63
Isolate the variable, x. Divide 63 from both sides:
(63x)/63 = (63)/63
x = 63/63 = 1
x = 1
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6. 5(3x + 8) = 175
First, distribute 5 to all terms within the parenthesis:
5(3x + 8) = (5 * 3x) + (5 * 8) = 15x + 40
15x + 40 = 175
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 40 from both sides:
15x + 40 (-40) = 175 (-40)
15x = 175 - 40
15x = 135
Next, divide 15 from both sides of the equation:
(15x)/15 = (135)/15
x = 135/15 = 9
x = 9
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