Answer:
5/12
Step-by-step explanation:
The pitch of the roof is 5/12.
Option H is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
We know that the pitch of a roof is defined as the ratio of the vertical rise to the horizontal distance, and is typically expressed as a fraction.
In this case, we are given that the roof is 13 feet long, with 5 feet of vertical rise and x feet of horizontal distance.
Therefore,
The pitch of the roof.
Pitch = vertical rise / horizontal distance
Pitch = 5 / x
We don't know the value of x, but we can use the fact that the roof is 13 feet long to solve it.
Since the horizontal distance and vertical rise form the legs of a right triangle, we can use the Pythagorean theorem to find the value of x.
x² + 5² = 13²
x² + 25 = 169
x² = 144
x = 12
Now,
Pitch = 5 / x
= 5 / 12
Therefore,
The pitch of the roof is 5/12.
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Write the integer that represents the situation. Max spent $44 and now has no money left. He had ___ before his purchase.
Answer:
The answer is Before Max had $53
Step-by-step explanation:
assume i gave you one piece of candy and now i have none left. how many did i have before i gave you that one piece?
there are 25 painters an 80% of them are painting the interior how many painters are painting the inside
Answer:
20 painters are painting the inside
Step-by-step explanation:
Which of the following correctly identifies the vertices that lie on the major
axis of the conic section shown below?
(x+2)^2/49 + (y-1)^2/25 = 1
O A. (-2,-4) and (-2,6)
OB. (-7,1) and (3,1)
OC. (-9,1) and (5,1)
OD. (-2,-6) and (-2,8)
Answer:
The answer is C: (-9,1) and (5,1). took the test. Good luck!
Step-by-step explanation:
The coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1), so option C is correct.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given equation:
(x + 2)² / 49 + (y - 1)² / 25 = 1
The above equation can be simplified as,
(x + 2)² / 7² + (y - 1)² / 5² = 1
The left side has to be equal to 1, the (x + 2)² / 7² the term has to be equivalent to 1, and the term (y - 1)² / 5² to be equivalent to zero
(y - 1)² / 5² = 0, y - 1 = 0, y = 1
(x + 2)² / 7² = 1
(x + 2)² = 49
(x + 2) = ±7
x = +7 - 2 = 5
x = -7 - 2 = -9
Therefore, the coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1).
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What is the domain of f(x) = 3*?
A. All nonnegative real numbers
B. All real numbers
C. All real numbers greater than or equal to 3
D. All real numbers greater than 3
A cliff is 80 feet above the sea From the cliff the angle of depression to a boat is 35° How far is the boat from the base of the cliff?
Answer:
~114.28 feet
I hope it will be useful.
The distance of the boat from the base of the cliff is 114 feet.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Cliff ________________
\ ) 35° |
\ |
\ | ( 80 feet )
\ |
\ |
\ |
\ Boat
← ______x________→
(distance of the boat from the base of the cliff)
Now,
tan 35 = 80/x
0.7 = 80/x
x = 80/0.7
x = 114 feet
Thus,
The distance of the boat from the base of the cliff is 114 feet.
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please help with my math
Answer:
f + g = [tex]\frac{x-1}{x+ 3}+\frac{x-3}{x+1}=\frac{x^{2}-1 }{(x+3)(x+1)}+\frac{x^{2}-9 }{(x+1)(x+3)}=\frac{2x^{2}-10 }{(x+1)(x+3)}[/tex]
Step-by-step explanation:
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
c
Step-by-step explanation:
The greatest possible whole-number length of the unknown side among the option is 9 inches.
Obtuse triangle
Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.
Triangle inequality theorem:The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the sides of the triangles are x, y and z. Therefore,
x + y > z
x + z > y
y + z > x
Therefore, the greatest possible length among the option is 9.
Proof
12 + 14 > 9
12 + 9 > 14
14 + 9 > 12
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Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.
Answer:
D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct
Answer:
Was the answer above correct????
Step-by-step explanation:
Work out the size of angle A
Answer:
size of angle A is 93.19°
A company donated 4,287 books to a local library. 2,596 of them were fiction. The rest of the books were nonfiction. Amy believes there were 1,691 nonfiction books.
Answer:
Yes, Amy is right
Step-by-step explanation:
Given that:
Total number of books donated = 4287
Fiction books = 2596
Since the rest of the books are non fiction:
Number of nonfiction books :
Total number of books - number of fiction books
4287 - 2596
= 1691
If -7 is multiplied by a number greater
than 1, which of the following describes the
result?
F a number greater than 7
G a number between -7 and 7
H a number greater than - 7
J a number less than -7
Answer:
J
Step-by-step explanation:
Find the equation of the line. Use exact numbers
Answer:
y = -3x + 7
Step-by-step explanation:
Again, pick a random point. I chose point (0,7). Then, we see how many units it takes to reach the next point. Let's try it. First, we move down 3 units, rise = -3, then move right 1 unit, run 1. So slope is rise over run, so -3/1 = -3. Then, for the y intercept, just see the y value when x = 0.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = [tex]\frac{1-7}{2-0}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 3x + 7 ← equation of line
THIS IS DUE TODAY PLS PLS PLS HELP ME ON IT :(
Answer:
monke
Step-by-step explanation:
monkey
I think its the first and last one. But I could be completely wrong.
What is the first step to solving the following equation? 6x – 9 = 48
Step-by-step explanation:
6x=48+9 is the first step
The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determined. (Show complex fraction setup.)
Answer: [tex]2\dfrac13\text{ miles per hour}[/tex]
Step-by-step explanation:
Given: Distance traveled by Smith = [tex]\dfrac23[/tex] mile.
Time taken = [tex]\dfrac27[/tex] hour
Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)
[tex]=\dfrac23\div\dfrac27[/tex]
[tex]\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}[/tex]
Unit rate = [tex]2\dfrac13\text{ miles per hour}[/tex]
A recursive function is shown below:
f(1) = 5 and f(n) = f(n - 1) - 6; n > 1
Which of the following lists the terms in the sequence defined by this recursive function
A: 5, 11, 17, 23, 29, ...
B: 5, -11, -17, -23, -29, ...
C: 5, -1, -7, -13, -19, ...
D: 5, 1, 7, 13, 19, ...
9514 1404 393
Answer:
C: 5, -1, -7, -13, -19, ...
Step-by-step explanation:
You need look no further than the second term. That term will be ...
f(2) = f(1) -6
f(2) = 5 -6 = -1 . . . . matches sequence C
20 points each math answer with optional explination
Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an equation?
Options in picture
The help is needed for these times
Answer:
This be soooo hard ;w;
Step-by-step explanation:
.w.
Find the following , giving your answers to 1 decimal place
Answer:
V=301.4cm^3
A=188.4cm^3
I hope it will be useful.
Answer:
Step-by-step explanation:
I. Volume = 301.6 cm³ (to 1d.p)
II. CSA = 188.5 cm² (to 1d.p)
Step-by-step explanation:
Given the following data;
Height, h = 8cm
Radius, r = 6cm
Curved length = 10cm
a. To find the volume of the cone
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
Volume = 301.6 cm³ (to 1d.p)
b. The curved surface area of the cone
Where;
CSA is the curved surface area of the cone.
r is the radius of the base of the cone.
l is the curved length of the cone.
Substituting into the equation, we have;
CSA = 188.5 cm² (to 1d.p)
A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is flowing into the tank at a rate of 15 cubic feet per minute. Find the rate of change of the depth of the water when the water is 4 feet deep.
Answer:
Step-by-step explanation:
0
Please I really need this question answered!!! 20 points!! I’ll give brainliest!
Answer:
A
Step-by-step explanation:
We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).
Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.
I hope this helps! :)
Answer:
Step-by-step explanation:
It takes meagen 56 minutes to cook a golden turkey that weighs 12 pounds. Her compieter, chef Geraidine takes 1 hour and 16 minutes to cook a golden turkey that weighs 304 ounces. What is the differnece in pounds cooking the golden turkey er minute between chef meagen and chef chef geraidine?
Answer:
0.033 pounds/min
Step-by-step explanation:
For Meagen:
Time taken to cook golden turkey = 56 minutes
Weight of golden turkey = 12 pounds
For her competitor:
Time taken to cook golden turkey = 1 hour 16 minutes = 77 minutes
Weight of golden turkey = 304 ounces
16 ounces = 1 pound
Therefore, 304 ounces = [tex]\frac{304}{16}[/tex] = 19 pounds
Now, let us find the number of pounds cooked per minute by each chef.
Pounds cooked per minute by Meagen = [tex]\frac{12}{56} = 0.214\ pounds/min[/tex]
Pounds cooked per minute by the competitor = [tex]\frac{19}{77} = 0.247\ pounds/min[/tex]
Difference = 0.247 - 0.214 = 0.033 pounds/min
A and Bare mutually exclusive events. P(A) = 0.60 and P(B) = 0.20. What is
P(A or B)?
A. 0.40
B. 0.68
C. 0.12
D. 0.80
Answer:
D. 0.80
Step-by-step explanation:
P(A or B) = P(A) + P(B)
P(A or B) = 0.60 + 0.20
P(A or B) = 0.80
The probability of P(A or B ) is 0.80.
The correct option is D.
Since A and B are mutually exclusive events, they cannot occur simultaneously.
Thus, the probability of A or B occurring is equal to the sum of their individual probabilities:
P(A or B) = P(A) + P(B)
Therefore, we need to subtract the probability of the intersection of A and B:
P(A and B) = 0 (since A and B are mutually exclusive)
Thus, we have:
P(A or B) = P(A) + P(B) - P(A and B)
Substitute all the given values to the equation,
we get,
= 0.60 + 0.20 - 0
= 0.80
Therefore, the probability of A or B occurring is 0.80 or 80%.
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Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.
(-15, -5 -1.0.2.16
Which is the best way to explain why Iliana is correct?
Olliana is correct because Henry included negative numbers. Negative numbers are not integers.
Olliana is correct because Henry included a fraction. Fractions are not integers.
Iliana is correct because Henry included zero. Zero is not an integer.
Olliana is correct because Henry included a positive number. Positive numbers are not integers.
B. Iliana is correct because Henry included a fraction. Fractions are not integers.
Answer:
B
Step-by-step explanation:
Maggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?
Answer:
Maggie's answer is going to be approximately 2 miles.
Step-by-step explanation:
Helpp!
Find (8x + 9) + (-6x - 2). Show your work.
Answer:
2+11
Step-by-step explanation:
Distribute
(8+9−1(6−2)
(8+9)−6+22
Eliminate redundant parentheses
(8+9)−6+2
8+9−6+23
Add the numbers
8+9-6+2
8+11−64
Combine like terms
8+11−6
2+11
x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (8x + 9) + (-6x - 2).
Eight times of x plus nine plus minus six times of x minus two.
x is the variable in the expression , plus and minus are the operators.
(8x + 9) + (-6x - 2).
8x+9-6x-2
Add the like terms
2x+7
2x=-7
Divide both sides by 2
x=-7/2
Hence, x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).
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Line a is parallel to line b. Which statement about lines a and b is true
I need help with this asap! Please show how you got the awnser! I WILL MARK BRAINLIEST!!!
Answer:
x=15
angle =34
Step-by-step explanation:
find the missing angle
180-146=34
angle=34
so
all angles added together
(5y+3)+(4y+8)+34=180
9y+11+34=180
9y+45=180
9y=135
y=15
The welding rate of a third robots is represented by the equation t=10.8w, where t represents the time in minutes ans w represents the number of welding tasks. How does it compare the other two?
how can linear equations help you compare linear functions?
Answer: i will answer this question
Step-by-step explanation:
Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios can represent the rate at which she is eating popcorn?
Answer:
[tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex]
Step-by-step explanation:
24 kernels in 10 minutes
In 1 minute she can eat [tex]\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}[/tex]
let [tex]x[/tex] be the number of popcorn and minutes so the rate of eating popcorn is of the form
[tex]\dfrac{x12}{x5}[/tex]
So, when [tex]x = 6[/tex] we get
[tex]\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}[/tex]
[tex]x[/tex] can be any real number
[tex]\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}[/tex]
[tex]\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}[/tex]
Other two ratios can be [tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex].