Your answer will be:
(p - 9) (p + 4) in factored form.
The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work
Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
In order to calculate the length of the walkway, we need to calculate the value of b first. Therefore, the value of b using the Pythagoras theorem can be written as,
[tex]D^2=12^2+b^2\\15^2=12^2+b^2\\225=144+b^2\\b^2= 81\\b=9[/tex]
As we got the value of b, now the value of each of the four hypotenuses can be written as,
[tex]A = \sqrt{12^2+8^2} = \sqrt{208}=14.422\\\\B=\sqrt{6^2+8^2}=\sqrt{100} = 10\\\\C =\sqrt{6^2+9^2}=\sqrt{117} = 10.82\\\\D = 15[/tex]
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
[tex]Sum = A+B+C+D = 14.422+10+10.82+15 = 50.24[/tex]
Hence, the length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.
Learn more about Pythagoras Theorem:
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what is the equation of the horizontal line through (-7,-3)?
Answer:
9
Step-by-step explanation:
Four people share 2/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Answer in simplest form.
Answer: 1/10
Step-by-step explanation:
2/5 x 1/4= 1/10
keep, change, flip
It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)
Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
I really need help :( I would really appreciate it:)
Answer:
3,32,6,56
Step-by-step explanation:
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3
9514 1404 393
Answer:
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Step-by-step explanation:
We can find the function g(x) to be ...
g(x) = f(x+1) = 4(x+1) -2
g(x) = 4x +2
This tells us the y-intercept is (0, 2), so the only viable answer choice is ...
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Answer:
Your answer would be C:]
Step-by-step explanation:
20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8
Answer:
-2.5
Step-by-step explanation:
-4 5/8 = -4.625
2 1/8 = 2.125
-4.625 + 2.125 = -2.5
Answer:
-20/8 or -2 1/2
Step-by-step explanation:
-4 5/8 + 2 1/8
Convert mixed numbers into improper fractions
-37/8 + 17/8
Add the numerators but NOT the denominators
Final Answer: -20/8 or -2 1/2
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What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55
2.55
To find a decimal you need to divide y and x (y/x)
What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.
Which one?
A or B.
Answer:
A) 600
Step-by-step explanation:
Sooo 3 x -5 = -15
then -4 x 10 = -40
Next -40 x -15 = 600
Since it's a negative times a negative the outcome is gonna be positive. Also I just broke down the problem into two parts and then multiplied the two answers together since it was called for.
A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.
Answer: 3 for edgenuit y
Step-by-step explanation:
a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls
Round 1,217 to the nearest thousand.
Answer:
1,000
Step-by-step explanation:
if it's past 1500 or in 1500 it would fall to 2000
but like it's less then 1,500 then it falls to 1000
hopefully it's right
Two window washers start at the heights shown. One is rising, the other is descending. How long does it take for the two window washers to reach the same height? Explain.
21 ft high
rising 8 in./s
50 ft high
descending 11 in./s
After t seconds, the height of the rising window washer is exactly
nothing feet, and the height of the descending window washer is exactly
nothing feet. Setting these expressions equal to each other and solving for t yields the exact value t
nothing. Rounding to one decimal place, the window washers reach the same height after about
nothing seconds.
(Simplify your answers.)
Answer: 18.32secs
Step-by-step explanation:
given data:
first washer
21 ft high
rising 8 in./s
second washer
50 ft high
descending 11 in./s
Solution:
initial height of first washer = 21 feet
1feet = 12inches
21 * 12 = 252inches
decending at a pace of 8inch/secs
= 252 + 8x
initial height of second washer
= 50 feet
= 50 * 12
= 600inches
descending at a pace of 11inch/secs
= 600 + 11x
At what time would they meet
252 + 8x = 600 + 11x
collect like terms
8x + 11x = 600 – 252
19x = 348
divide both sides by 19
19x/19 = 348/19
x = 18.32secs
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper how many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper
Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].
Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]
Hence, this is the required solution.
What quadrant is point A located in?
A. Quadrant IV
B. Quadrant III
C. Quadrant I
D. Quadrant II
Someone pls help me ASAP
Someone please help! Asap
5/-8 + 2/3
Evaluate it and in simplest form
Answer:
1/24
Step-by-step explanation:
(-5/8)+2/3
(-15/24)+16/24
1/24
can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exponent of 3, what is the remaining number?
Answer:
39
Step-by-step explanation:
4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.
Please HELP! will give brainliest
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Explanation:
FGH is similar to EDC
Note the order of the letters. The order is important since it tells us how the letters pair up.
F and E are the first letters, so F and E pair up. This means F = E.G and D are the second letters, meaning that G = DH and C are the third letters showing that H = C.The diagram shows G = 71. Since G = D, we know that D = 71 as well. You can use the substitution property or the transitive property (both are effectively the same).
----------
Side note: The angles G and D are the top most angles in the diagram, so this is a visual way to see how they pair up. Keep in mind that the diagram won't always be helpful because it may not be drawn to scale or something may be rotated to trick you. It's best to use the letter pairing method in the previous section above.
can someone help me
Answer:
cant read it :(
Step-by-step explanation:
Answer:
m = [tex]\frac{y-b}{x}[/tex]
Step-by-step explanation:
Given
y = mx + b ( subtract b from both sides )
y - b = mx ( isolate m by dividing both sides by x )
[tex]\frac{y-b}{x}[/tex] = m
Which shows the image of quadrilateral ABCD after the transformation Ro, 90?
Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)
Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
Find out more on transformation at: https://brainly.com/question/1548871
Answer:
B)
Step-by-step explanation:
edge
Solve for f.
4f = -2 + 5f
Answer:
f=2
Step-by-step explanation:
First, you move the variables to the left side of the equation and change its sign.
After doing so, you have 4f -5f =2.
Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.
Your equation looks like this now: -f = -2
Now remove the negative symbols due to their being one on both side.
f=2
Mark brainliest if possible please! Have a nice day.
What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6
Answer:
y = -1/6x-3
hope this helps
Answer:
x+6y+18=0
Step-by-step explanation:
we have to use (y-y1)=m(x-x1)
now,(x1,y1)=(6,-4),m=-1/6
so, (y+4)=-1/6(x-6)
or,6y+24=-x+6
or,x+6y+24-6=0
x+6y+18=0 is the required equation.
Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
C) 3x + 4y = 24
D) 4x + 3y = 24
Answer:
a
Step-by-step explanation:
One car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. What is the minimum number of miles you must drive a one-day rental at the second company to be less expensive than the same rental at the first company?
Answer:
66.67=67mi.
Step-by-step explanation:
How do I turn a equation to factored form
Answer:
what equation is it?? bc it's important to know witch one
The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?
Answer:
- 0.000105156(x - 50)² + 0.64008
Step-by-step explanation:
Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :
To convert the curve model in feets to metres +, using the function :
m(x) = 0.3048x
Multiply m(x) by r(x)
Hence,
m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)
m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters
There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?
Answer:
If the question is (64)2 x 60, then the answer is 7,200
Step-by-step explanation:
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