The pitch of the roof is the number of feet the roof rises for each 12 feet horizontally. If a roof has a pitch of 8. What is its slope expressed as a positive number? What does the slope mean in this story?
Answers
The height is h ft
Half of the total horizontal base length is w ft.
Because the pitch is 8, therefore
When w = 12 ft, then h = 8 ft.
That is
w/h = 12/8
w = 1.5h
The slope is h/w = 8/12 = 2/3.
As an angle,
θ = tan⁻¹ 2/3 = 33.7°
Answer:
Slope = 2/3.
The slope represents an angle of elevation of 33.7°.
The slope of the roof, expressed as a positive number, is 0.67. This represents the steepness of a roof, with a higher number indicating a steeper roof. The figure is calculated using the rise over run ratio.
Explanation:The pitch of a roof is a number that expresses how much the roof's height changes for every 12 feet you move along horizontally. If a roof has a pitch of 8, it means that for every 12 feet you move horizontally, the height of the roof increases by 8 feet. This gives us a rise/run ratio, which is how slope is defined in mathematical terms.
In this case, the rise is 8 feet, and the run is 12 feet. So, the slope would be 8/12, or 0.67 when expressed as a positive decimal number.
The slope here represents the steepness of the roof. A higher slope means a steeper roof and vice versa. By expressing the slope as a number, we can get an idea of how steep the roof is without having to see it in person.
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Related Questions
What is the sine of angle a?
a. 12/13
b. 5/13
c. 5/12
d. 13/12
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sinA= 12/13
classify each pair of labeled angles as complementary, supplementary, or neither.
Answers
Answer: supplementary, complementary, neither.
Step-by-step explanation:
5x-4(2x+11)=13
solve for x
show all work please
Answers
So multiply -4x2x and -4x11.
5x-8x-44=13
Add all your like terms so 5x+-8x.
-3x-44=13. Now add 44 to both sides.
-3x= 57. Now divide both sides by -3 to get the x by itself.
x=-19
1)distribute the -4 to the numbers within the parenthesis.
5x-8x-44=13
2) next step you combine light terms.
''5x-8x=-3x''
so now you have -3x-44=13
3) add 44 on both sides
and you're left with -3x=57
4) divide both sides by -3 in order to solve for x; x divided by any number is always x, and 57divided by -3 is -19
5) so you're left with [n=-19] as your final answer
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on monday and 65 on wednesday . Write and solve an inequality to find out how many blankets the team has to collect on friday?
Answers
Answer:
Atleast 53
Step-by-step explanation:
We are given that your basketball team has a goal to collect atleast 160 blanket for a shelter.
Team member bought blankets on Monday =42
Team member bought blankets on Wednesday=65
We have to write an inequality and find the number of blankets has to collect on Friday.
Let x be the number of blankets bought by team members on Friday
According to question
[tex]42+65+x \geq 160[/tex]
[tex]107+x \geq 160[/tex]
Subtract 107 on both sides
[tex]107-107+x\geq 160-107[/tex]
[tex]x\geq 53[/tex]
Hence, team members bought atleast 53 blankets on Friday .
Find the product and simplify your answer. -4k^2(-3k^3+5k-5)
Answers
= 12k^5 - 20k^3 + 20k^2 ...expand by using distributive property
hope it helps
the product of three consecutive nonzero integers
Answers
Final answer:
To find the product of three consecutive nonzero integers, multiply the first number by the next two numbers in the sequence.
Explanation:
If the first integer is n, the next will be n+1 and the next to it will be n+2
The product of three consecutive nonzero integers can be calculated using the formula:
n * (n+1) * (n+2)= n(n^2 + 3n+ 2)=n^3 +3n^2 + 2n
where 'n' represents the first integer. For example, if we take 'n' as 2, the three consecutive nonzero integers would be 2, 3, and 4. So, the product would be 2 * 3 * 4 = 24= (2)^3+ 3*(2)^2+ 2*2
Write the standard form of the line that contains a slope of -1/2 and y intercept of 1
Answers
y= -1/2x + 1
Which of the following is a possible long-term health effect of stress?
A. heart disease
B. rapid breathing
C. heartburn
D. tense muscles
choose all that apply
Answers
A couch and coffee table cost a total of $1053. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answers
Which of these equations describe the line shown below check all that apply . plz don't give me the formula and tell me do it that way I'm not good at math I'll give 5 stars if you just give me the answer thanks
Answers
What's the answer to
4.5 divided by 1.8
Answers
Hope this helps
A sample is a sample that isn't representative of the entire population.
unbiased
systematic
biased
Answers
_________________________________________________
Answer: The answer is biased :)
How many different types of cross sections of a cone are possible? A.3
B.5
C.6
D.10
Answers
There are five different types of cross sections of a cone possible.
In the equation y = 2x -3 if x = 3, what is the ordered pair of the solution?
Answers
If 2x-5=10, then 2x=
Answers
2x = 15
Therefore, 2x = 15
solve the equation 17=-13-8x with steps
Answers
13 + 17 = -8x
30 = -8x...now divide both sides by -8
-30/8 = x...reduce
- 15/4 or -3 3/4 = x <===
The solution for given equation 17=-13-8x is x = -15/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation is,
17 = -13 - 8x
Now to solve the equation following steps are followed :
adding 13 both the sides of the equation,
17 + 13 = -13 - 8x + 13
or, 17 + 13 = -13 + 13 - 8x
Solving them we get,
30 = - 8x
or, - 8x = 30
multiplying -1 both side
- 8x*(-1) = 30*(-1)
Solving them we get,
8x = -30
dividing both side by 2
8x/2 = -30/2
Solving them we get,
4x = -15
dividing both side by 4
4x/4 = -15/4
Solving them we get
x = -15/4
Hence,the solution for given equation 17=-13-8x is x = -15/4.
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The united states has 12,383 miles of coastline. If 0.8% of the coastline is located in Georgia, about how many miles of coastline are in Georgia
Answers
0.8% * 12383
99.064 miles
Answer:
99.064 miles of coastline are in Georgia.
Step-by-step explanation:
Consider the provided information.
The united states has 12,383 miles of coastline and 0.8% of the coastline is located in Georgia.
Now we need to find about how many miles of coastline are in Georgia.
Thus solve this as shown:
0.8% of 12,383
[tex]\frac{0.8}{100} \times 12,383[/tex]
[tex]0.008 \times 12,383[/tex]
[tex]99.064[/tex]
Hence, 99.064 miles of coastline are in Georgia.
completa cada enunciado y escribe la proporción correspondiente. si por cada 21.000 se compran tres agendas ¿ con cuanto se compran nueve?
Answers
While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. write an expression in simplest form that represents the number of fireflies you and your friend caught together?
Answers
=(9m^2+78m+169)+(16m^2+48m+36)
=25m^2+126m+205
Two cars leave new york at the same time traveling in opposite directions. one travels at an average speed of 77 mph and the other at 63 mph. in how many hours will they be 280 miles apart?
Answers
The number of hours will they be 280 miles apart will be 2 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Two vehicles leave new york simultaneously going in inverse headings. one goes at a typical speed of 77 mph and the other at 63 mph.
The relative speed is given as,
S = 77 + 63
S = 140 miles per hour
The number of hours will they be 280 miles apart will be calculated as,
Time = 280 / 140
Time = 2 hours
The number of hours will they be 280 miles apart will be 2 hours.
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what is 50/12 in a mixed number
Answers
4 1/6
A mixed fraction is when there is more than 1 whole i.e. 1 3/4
A improper fraction is when there is more than 1 whole i.e. 50/12
As you may have observed, the thing which differentiates a mixed fraction from an improper fraction is that a mixed fraction's numerator is never bigger than it's denominator.
:)
50/12 is an improper fraction,
To convert this into a mixed fraction, we can find out how many times 50 fits in 12: 50/12 = 4.16666
So we know there are 4 wholes, which as twelfths are 48/12;
We can then observe the difference between 50 and 48 is 2 twelfths
So 50/12 as a mixed number/fraction is 4 wholes and 2 twelfths
which can also be written as 4 2/12 and then simplified to 4 1/6
Solve fro the Equation below:
7+2(x-3)=-3(x+1)-4
Answers
2x + 1 = -3x - 3 - 4
2x + 1 = -3x - 7
2x + 1 + 3x = -7
5x + 1 = -7
5x = -7 - 1
5x = -8
x = -8/5.
-4.31 x 3.09 + (-0.98)
Answers
Parentheses
Exponents
Multiplication
(and/or)
Division
Addition
(and/or)
Subtraction
Solve the problem in this order. Since no operations are in the parentheses, we can skip that. The first operation we will do is multiplication. I can't really explain multiplication here, but you hopefully already know it, so multiply -4.31 by 3.09. Although there are negatives and decimals, treat it as a normal multiplication problem while doing the math.
This will give you -13.3179, just move the decimal point down, and since a positive is being multiplied by a negative, the answer is negative. Once you have this number, just add it to -0.98. This is the same as subtracting, since it is negative, so in other words, just subtract 0.98 from -13.3179, and you have your answer.
This would be -14.2979, or roughly -14.2.
Hope this helps! :)
Write each rational number as a repeating decimal.
1. -7/9
2. 11/15
3. 8/3
Answers
Final answer:
To write a rational number as a repeating decimal, perform long division. -7/9 as a repeating decimal is -0.7777..., 11/15 is 0.7333..., and 8/3 is 2.6666...
Explanation:
To write a rational number as a repeating decimal, you need to perform a long division. Let's go through each of the given rational numbers:
1. -7/9
When you divide -7 by 9, you get -0.7777… with the 7s repeating. So, -7/9 as a repeating decimal is -0.7777…
2. 11/15
When you divide 11 by 15, you get 0.7333… with the 3s repeating. So, 11/15 as a repeating decimal is 0.7333…
3. 8/3
When you divide 8 by 3, you get 2.6666… with the 6s repeating. So, 8/3 as a repeating decimal is 2.6666…
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula
Answers
[tex]A = A_ob^t[/tex]
[tex]3600 = 3000b^4[/tex]
Now we solve for b
[tex]3600 = 3000b^4[/tex]
[tex]\frac{3600}{3000} = \frac{3000b^{4}}{3000}[/tex]
[tex]\frac{6}{5} = b^4[/tex]
[tex]\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}[/tex]
[tex]\sqrt[4]{\frac{6}{5}} = b[/tex]
Now that we have found b, we can use the equation [tex]A = 3000b^t[/tex] to predict how many bacteria will be present after 10 hours.
[tex]b = \sqrt[4]{\frac{6}{5}}[/tex]
t = 10
[tex]A = 3000b^t[/tex]
[tex]A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732 [/tex]
Answer = 4732
Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?
Answers
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{8-5}{1-2} = -\frac{3}{1} = -3[/tex]
Slope: [tex]-3[/tex]
Second, we must plug into point-slope form.
Formula for point-slope: [tex]y -y1 = m(x-x1)[/tex]
Plug in the values: [tex]y - 5 = -3(x - 2) [/tex]
And there you have your answer in point-slope form.
Can someone please help me and like show and explain how to get the answer?
Layla is on page 30 of her book and reads 3 pages every night. Sidney is on page 40 of the same book and reads 2 pages every night. How long will it take for Layla to be further in the book than Layla?
A) 3 nights
B) 11 nights
C) 15 nights
D) 71 nights
Answers
A country has a Gross Domestic Product (GDP) of $225. If the GDP deflator is 3, what would be the real GDP of the country? The real GDP of the country is
A. $225
B. $150
C. $200
Answers
Hope this helps
B. $150
40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
Answers
Therefore, the percentage of the whole membership that belong to a cycling club is 12%.
Two of the angles in a parallelogram measure 5x° and 7x°. what is the value of x?
Answers
The value of x is 15.
What is parallelogram?"It is a quadrilateral with opposite sides parallel.""The opposite angles of parallelogram are equal. "For given question,
Two of the angles in a parallelogram measure 5x° and 7x°
The measure of an angle opposite to 5x° is also 5x°
Similarly the measure of an angle opposite to 7x° is also 7x°
So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°
We know, the sum of all angles of quadrilateral is 360°
⇒ 5x° + 7x° + 5x° + 7x° = 360°
⇒ (5 + 7 + 5 + 7) x = 360
⇒ 24x = 360
⇒ x = 15
Therefore, the value of x is 15.
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