Answer:
It will take 4 hours to dig in the garden
Step-by-step explanation:
First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter
d = diameter
π = 3.14
c = circumference
c = π * d
d = c / π
d = 88yd / 3.14
d = 28.025yd
round to the nearest whole number
28.025 = 28
d = 28yd
To know how many hours it takes, we divide the diameter by the speed
t = time
v = velocity
t = d / v
t = (28yd) / (7yd/h)
t = 4h
It will take 4 hours to dig in the garden
Answer:
2(x -2)² = 0
Step-by-step explanation:
2(x² - 4x - 4) = 0
2(x -2)² = 0
x = 2
Answer:
The factored form of is
Step-by-step explanation:
The way the quadratic equation was given, we can't have a factored form in the format:
First, divide both sides by 2
Now, it is about thinking. From the equation, we will get something in the format:
Let's expand this:
From here, we can give some values for those variables, based on the quadratic equation :
Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.
Therefore,
But we are not ready yet!
This is the factored form of , to get the factored form of the problem equation, just multiply the factored form we got by 2.
B. (x + 2)(x + 12)
C. (x + 3)(x + 8)
D. (x + 1)(x + 11)
Factor 2m2 + 27m + 70
A. (2m + 7)(m + 10)
B. (m + 10)(2m + 7)
C. (2m + 3)(m + 20)
D. (2m + 7)(m – 10)
Factor g2 – 64
A. (g – 1)(g + 64)
B. (g + 8)(g – 8)
C. (g – 8)(g – 8)
D. (g + 8)(g + 8)
Factor 49t2 – 9
A. (7t + 3)(7t + 3)
B. (7t + 3)(–7t – 3)
C. (7t + 3)(7t – 3)
D. 7t – 3
The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field?
A. t – 9
B. t – 5
Answer: 15/12
Step-by-step explanation:
-2- 13 =-15
4- -8 = 12
Remember the formula y2-y1. Divided by x2 - x1
is used for Clothing and Savings combined, what is the total annual income?
Savings
9%
Insurance
10%
Entertainment
11%
Auto
14%
Clothing
16%
Food
18%
Housing
22%
we find that the total annual income is $40,178.57.
To find the total annual income, we need to subtract the amount spent on clothing and savings from 100%.
Clothing and savings make up 16% of the income, so the remaining 84% is used for other expenses.
Let's call the total annual income 'x'.
The equation can be written as:
84% of x = $33,750.
To solve for x, we can set up a proportion: 84/100 = $33,750/x.
Cross multiplying gives us 84x = $33,75000.
Dividing both sides by 84,
we find that x = $40,178.57.
Learn more about Total Annual Income here:
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