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Salsk061 [2.6K]
2 years ago
8

Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how

many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.
Mathematics
1 answer:
noname [10]2 years ago
6 0

Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.

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An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov
babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this.  This will give us the two times that the object is at exactly 500 meters.  The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using our values for a, b and c,

x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds.  This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0
3 years ago
The local bakery applies a 155% markup on all baked goods. If it costs them $3.50 to make a batch of cookies, at what price do t
natka813 [3]

The price charged for the batch of cookies is $8.925

Step-by-step explanation:

Marked price refers to the price at which an establishment offers to sale a product. For-profits to occur, marked price is always more than cost price (cost of producing the item)

Here the local bakery has marked up the price by 155%. This means that the local bakery has increased the marked price by 155% above the cost price accrued to them.

The cost price of the cookies= $ 3.5

Hence the increased marked price= (155/100) *3.5

Increased marked price= $ 5.425

Hence the charge customers need to pay for the cookies= increased marked price + cost price

Charge = $5.425+ $3.5= $8.925

the price charged for the batch of cookies is $8.925

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If = 27° and y = 17 cm, what is the value of z to the nearest tenth of a centimeter?
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