Answer:
93 pieces
Step-by-step explanation:
To cover his backyard with sod, he needs to cover the area of the backyard.
His backyard is a rectangle, and area of a rectangle is given as:
Where,
is the length, and
is the width
So, the area of Jim's backyard is 
square yards.
The area of each sods are solved using the area of the rectangle formula. So we have 
square yards as the area of each sod.
<em>To find </em><em>HOW MANY</em><em> of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:</em>
<em>
</em>
<u>Since, fractional sods can't be bought, Jim has to buy </u><u>93 sods</u><u> to cover his backyard.</u>
Answer:
See explanation
Step-by-step explanation:
If PK and PF are tangent to the circle, then the radii OK and OF are perpendicular to the lines PK and PF respectively.
Consider quadrilateral PFOK. The sum of the measures of all interior angles in quadrilateral PFOK is equal to 360°. Since OK and OF are perpendicular to the lines PK and PF, you have that
∠FOK+90°+∠KPF+90°=360°,
∠FOK=360°-90°-90°-∠KPF=180°-∠KPF.
Angles FOK and KOE are supplementary angles, then
∠KOE=180°-∠FOK=180°-(180°-∠KPF)=∠KPF.
Since angle KOE is central angle, the arc EK has the same measure as angle KOE and as angle KPF.
1) Describe the relationship of input and outpunt values for a composite functions.
The composition of the functions f(x) and g(x) is defined as:
(f ° g) (x) = f [g(x) ].
That means that the output of the function g(x) is the input of the function f(x).
2) Is the inverse of a function always a function?
No, the inverse of a function is not always a function.
Remember that a function cannot have two different outputs for one or more input.
The reason is that if the original function has two or more inputs that result in a same output, when you inverse the original function, the outputs of the original are the inputs of the inverse function and the inputs of the original are the outputs of the inverse. That implies that the inverse function would have some inputs related with more than one output, which is the negation of a function.
Answer:
5-3/4=2/4=1/2
Step-by-step explanation:
Answer:
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
30% = 30/100 = 30 ÷ 100 = 0.3.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 30% of its value.
Calculate the New Value
New value =
12 + Percentage increase =
12 + (30% × 12) =
12 + 30% × 12 =
(1 + 30%) × 12 =
(100% + 30%) × 12 =
130% × 12 =
130 ÷ 100 × 12 =
130 × 12 ÷ 100 =
1,560 ÷ 100 =
15.6
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 12 =
15.6 - 12 =
3.6
Step-by-step explanation:
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