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3 years ago

The slope of a roof is called the pitch and is defined as follows:

Mathematics

1 answer:

Sholpan [36]3 years ago

5 0

Answer:

a) 4/5

b) 1/3

Step-by-step explanation:

Put the numbers in the formula and evaluate.

a) pitch = (rise)/(1/2·span)

= (12 ft)/(1/2·30 ft) = 12/15 = 4/5

___

b) pitch = (4 ft)/(1/2·24 ft) = 4/12 = 1/3

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How do I write an equation that would allow someone to find the value of R

Ivahew [28]

Answer:

R+239=3501

Step-by-step explanation:

Add the three 1,167 values together and you get 3,501. Then, because we know a portion of the three blocks is equal to 239, add it so when we solve for R, 239 is subtracted from the total.

As for solving it,

Subtract 239 on both sides, and R is 3501-239 = 3262

6 0

3 years ago

at the start of the shift your part counter reads 250 at the end of the shift the part counter reads 1075 how many parts did you

Luden [163]

This can be mathematically expressed to
250 + X = 1075
where X represents the parts you produce before the shift ends
Transpose 250 to the other side by subtracting each side by 250
Thus, it goes like this
X = 1075 - 250
X = 825

You produced 825 parts in the middle of the shift.

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2 years ago

Sipho made a 12.5% when he sold a coat for E437.50 .calculate original cost of the coat

kaheart [24]

Answer:

E500

Step-by-step explanation:

Given x the original price of the coat

437.5 + 0.125x = x

437.5 = 0.875x

x = E500

8 0

2 years ago

A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

4 0

3 years ago

Which inequality represents the following situation: 3/5 times 5 less than a number is no more than 27?

MariettaO [177]

This kid is ugly very ugly like wow

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3 years ago