Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ftfrankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ft.
Answers
The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.
From the Pythagoras theorem:
Perpendicular(P) = 32 ft
Base(B) = 20 ft
H = √(32²+20²)
H = √1424
H = 37.7 ft
Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
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Answer:
D) 37.7
Proof:
Related Questions
If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be in the sample space?
Answers
Answer:
216
Step-by-step explanation:
You are rolling three die three times
a die has six sides
to obtain the sample space
we would have to multiply 6 x 6 x 6
which could account for the three roles which would be equivalent to the sample space
6^3
1
A circle is defined by the equation given below.
x² + y²
2y -
What are the coordinates for the center of the circle and the length of the radius?
X
= 0
ig Algebr
OA. (1, 1), 2 units
OB. (-1,-1), 2 units
OC. (,1), 4 units
OD. (-1,-1), 4 units
Reset
Next
Answers
The coordinates for the center and length of the radius of this circle are equal to (½, 1), 2 units.
How to determine the coordinates?Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.r is the radius of a circle.In order to determine the coordinates for the center and the length of the radius of this circle, we would use completing the square method:
x² + y² - x - 2y - 11/4 = 0
x² - x + ¼ + y² - 2y = 11/4 + ¼
(x - ½)² + y² - 2y + 1 = 12/4 + 1
(x - ½)² + (y - 1)² = 4
Comparing with the standard form, we have:
h = ½k = 1r = √4 = 2 units.Read more on circle here: https://brainly.com/question/14078280
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Complete Question:
A circle is defined by the equation given below.
x^2 + y^2 − x − 2y − 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
N
32
NEXT QUESTION
C
Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and how many quarters did
she have?
G
Which of the following equations could be used to solve the problem?
Answers
Answer:
See below
Step-by-step explanation:
q = quarters value = .25 q
n = nickels = 4q value = .05 (4q)
summed = 12.60
.25q + .05(4q) = 12.60 <====== can be used to solve the problem
.45q = 12.60
q = 28 quarters then nickels = 4q = 112
K'L'M'N' is a dilation image of KLMN. Which is the correct description of the dilation?
Answers
Answer:
d
Step-by-step explanation:
marcus needs to paint a large wall with a window centered in the middle of the wall (shown below).what is the area (in square feet)that marcus will need to paint.
A 336ft
B 256ft
C 300ft
D 264ft
Answers
To calculate the area that Marcus needs to paint we must calculate the area of the window and subtract it from the total area of the wall.
How to calculate the area of a wall?To calculate the area of a rectangular wall we must use the following formula:
area = a × bWhere a is the length of the height, and b is the length of the width.
Next, we need to calculate the area of the window. If it is a square or rectangular window we use the same formula "area = a × b".
If the window is circular we use this formula:
Area of the circle = π r²Once we know the area of the wall and the area of the window, we subtract the area of the window from the area of the wall and we will know what is the total area that Marcus must paint.
Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.
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What is the initial value of the function represented by this table?
Answers
Answer: 3
________________________________
initial value = starting value when x is 0
as you can see when x is 0 y is 3
so your initial value is 3
________________________________
Hoped this helped.
Find the quotient.
2^3 ÷ 5^2
Answers
Answer:
0.32
Step-by-step explanation:
2^3 = 2*2*2 = 8
5^2 = 5*5 = 25
------------------------------
8/25 = 0.32
Determine whether each set of ordered pairs shown below is from a geometric sequence or from an arithmetic sequence.
{(-3, 7.5) , (-2, 10) , (-1, 12.5)}
Write the equation of the graph for the set of ordered pairs.
{(1, 150) , (2, 112.5) , (3, 84.375)}
Write the equation of the graph for the set of ordered pairs.
Answers
simplify the following polynomial expression. (5^4-9^3+7x-1)+(-8^4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
Answers
The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Given:
(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)
Now,
5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)
=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7
= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³ - 10x² + 35x + 2x - 7
= 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6
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If you apply the changes below to the quadratic parent function, f(x) = x²,
which of these is the equation of the new function? Shift 1 unit left.
Vertically stretch by a factor of 5.
Reflect over the x-axis.
A. g(x) = -5(x-1)²
B. g(x) = -5x² - 1
C. g(x) = -5(x + 1)²
D. g(x) = (-5x + 1)²
Answers
Answer:
Step-by-step explanation:
Comment
Do the most mechanical part first. Moving 1 unit left will mean that x becomes (x + 1). It is anti intuative, but that is the correct answer.
So far what you have is y = a(x + 1)^2
The reason that you want to do it this way is any answer with a minus sign is wrong which eliminates A and B
When you stretch the parabola, a becomes 5 so now you have another part of the puzzle. and the equation becomes
y = 5(x + 1)^2
The 5 goes on the outside of the brackets which eliminates D
When you reflect this over the x axis, you invert the parabola which means you turn it upside down. The sign in front of the 5 becomes a minus.
Answer
y = - 5(x + 1)^2 or C.
the perimeter of a right angle triangle is 24 cm and its area is 24 cm square if the hypotenuse is 13 cm find the remaining sides
Answers
Answer:
let the remaining sides be X and Y
perimeter = X + Y + 13
24 = X + Y + 13
11 = X + Y ---(1).
Area = 1/2 * base * height
24 = 1/2 * X * Y
XY = 48.-----(2)
solving eq 1 and 2
X + Y = 11
XY = 48
Xy + y² = 11y
Xy = 48
y²= 11y - 48
y² -11y + 48 = 0
no real solution of this equation.
Answer:
Step-by-step explanation:
the triangle is NOT a 3–4–5 or multiple,
so it is not a right triangle or your data is wrong.
If 15 members vote to choose 4 group leaders, what is the probability that 4 candidates will be chosen for 4 positions
Answers
Answer:
[tex]\frac{4}{60}[/tex] = [tex]\frac{1}{15}[/tex]
Step-by-step explanation:
Find the value of :
[tex] \sf log_{3 \sqrt{2} }(324) [/tex]
Answers
Answer:
4
Step-by-step explanation:
Is that a log with the base of 3√(2) ?
If so....my calculator says the answer is 4
Let's see if we can do it w/ou the calculator:
3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:
x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)
now divide both sides by log (3 sqrt2 )
x = 4 (If I did the math correctly ! )
If point C is between points A and B, then ___ + CB = AB.
A. BC
B. CA
C. ABC
D. AB
Answers
Answer:
[tex]\fbox {B. CA}[/tex]
Step-by-step explanation:
Picture the line segment :
⇒ A ---------------- C ------------------ B
Then :
⇒ CA + CB = AB
21 added to a number is the same as 37
Answers
Answer:
Step-by-step explanation:
Hi, let me help you out.
First I'm going to turn the verbal phrase into an algebraic phrase...
21+n=37. here n is the unknown number
Next, I believe you need to find what n equals.
This can be done by subtracting 21 from both sides.
n=37-21
n=16
Thus the number we need is 16.
_________________
Hope I helped. Best wishes.
Expand & simplify 6 ( p + 6 ) + 2 ( p + 4 )
Answers
= 8p + 44
Solution: 8p+44
Detailed explanation:
First we can "expand" by multiplying 6 times the parentheses and then 2 times the other set of parentheses.
[tex]--\mapsto\boldsymbol{6(p+6)+2(p+4)}\\\\---\mapsto\boldsymbol{6p+36+2p+8}[/tex]
To make life easier let's just put the p's next to each other.
[tex]--\mapsto\boldsymbol{6p+2p+36+8}[/tex]
Now let's add the p's
[tex]---\mapsto\boldsymbol{8p+44}[/tex]
Voila! There's our answer!
Cheers! ^-^__________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
____________________
⚜Help plssssss I need this today
Answers
Answer:1 is exponential. 2 is linear. 3 is neither. 4 is linear. 5 is linear. 6 is exponential. 7a is exponential. I think 7b could be 10x + y = 10 but I'm not too sure. 7c is (8,4).
Step-by-step explanation:1. the coordinates are moving in an exponential way or something im not sure the correct wording but that is what exponential graphs look like. 2 is a straight line so it is linear. 3 is neither because the graph isn't exponential or linear. 4 is linear because the coordinates are subtracting at the same number. 5 is linear for the same reason at 4. 6 is exponential because the coordinates are multiplied by 2 each time. 7a is exponential because the coordinates are divided by 2 each time. 7b I'm not sure on. 7c is 8/4 because August is the 8th month and the month before (7) is 8 so 8 divided by 2 equals 4. So the 8th month would have to be 4. I hope that helps!
Find the slope of the line whose equation is 3x - 4y = 7.
Answers
Answer:
0.75
Step-by-step explanation:
slope is the coeffecient of x when the equation is in the order yb= mx + b
3x - 4y = 7
-4y = 7 - 3x
4y = 3x - 7
y = (3x - 7) / 4
y = 3x / 4 - 7 / 4
slope = 3/4
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality.
Answers
The mistake she had done is she should have reversed the inequality as per the division property of inequality.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The inequality is:
500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10
Given:
Jamie had $500 in her savings account.
She wants to have at least $200 left in the account at the end of the school year.
The inequality she had done is
500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10
But when she was dividing she should have reversed the inequality as per the division property of inequality.
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What other areas of human or societal change have models that would fit an
exponential curve?
Answers
[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]
There are smooth exponential curves that control price performance, capacity, and bandwidth so it easy to predict the cost of something in the future. He said, "When people think about the future they think about it lineraly.
x=y²-1
2x - y = 4
Which of the following equations could be the result of using substitution to solve the system?
2y²-y-5=0
2y2-y-6=0
2y2-2y-5=0
Answers
Answer:
B) 2y² - y - 6 = 0
Given following:
x = y² - 1 ___equation 12x - y = 4 ___equation 2Insert equation 1 into 2:
2(y² - 1) - y = 42y² - 2 - y = 42y² - y - 2 - 4 = 02y² - y - 6 = 0Put in second
2x-y=42(y²-1)-y=42y²-2-y=42y²-y-6=0
An elevator in a tall building goes up 7 floors, then
down a floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?
Answers
started on the 14th floor. 14 + 7 - 9 - 4 + 8 - 2 :
14 Is that correct?
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
The direct distance from A to C is more than yards.
Answers
The direct distance form A to C is represented by the inequality
AC < 40 yards.
What is a Triangle ?A triangle is a polygon with three sides , three vertices and three angles.
It is given that
Distance form point A to B is 15 yards
Distance form point B to C is 25 yards.
Distance AC = ?
In a Triangle the sum of two sides is always greater than the third side.
Therefore
AC < 15 +25
AC < 40 yards.
Therefore the direct distance form A to C is represented by the inequality AC < 40 yards.
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Identify the domain of the given function.
Answers
Answer:
choice C
Step-by-step explanation:
x could be any number except -1.
Cause for x=-1 the denominator becomes undefined.
The function f(x) is shown in this graph.
The function g(x) = -6x + 3.
-5
Compare the slopes and y-intercepts.
Answers
I finished all my other questions but i don't know how to do this one. could someone help me? I added 100 points. It is attached. :)
Answers
The answers are mentioned below.
What is Acceleration ?Acceleration is the change of speed with respect to time.
It is given that ,
The mass of the person is 50kg
Weight is 490 N
He has boarded an elevator with a bathroom scale.
1. The elevator is going down at constant speed , Force = 0N as acceleration is zero , The reading is 50kg.
2. The elevator is going up an slowing down . The magnitude of the acceleration is 4.9 m/sq.s , Force = mass * acceleration = 50 * 4.9 = 245N acting upward but the net force will be acting downward.
490 - 245 = 145N , reading 14.79 kg.
3.The elevator is free falling with an acceleration of 9.8m/sq.s force 0 N , as the gravitational force is pulling you down and the scale pushes up with the same force , Reading is 0 kg.
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Function g is a transformation of function f.
Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1.
What is the equation of function g?
g(x) = f(x)
Answers
The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given:
genera form of an exponential function is y=aeᵇˣ
Now, equation for f(x) is
f(x) = [tex]e^{(log \;2)x} -2[/tex]
Similarly, graph for g(x) is
g(x) = [tex]-3e^{(log \;2)x} +6[/tex]
Comparing the two function a relation can be establish
g(x) = -3[f(x)]
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Answer:
shifted to the left two units
g(x)=-f(x+2)
Step-by-step explanation:
Please helpppp !!!!!
Answers
2(pi)/3
Because 4(pi)-/5 minus 2(pi)-/5 is 2(pi)-/5
After that you cancel -/5 from the numerator and denominator to get 2(pi)/3
Answer:
The answer is A
How do I do this? Subtract the expressions (3x+3)-(4x+6)
Answers
Answer:
-x - 3
Step-by-step explanation:
1) Distribute
(3x+3)-(4x+6)
3x + 3 - 4x - 6
2) Subtract the numbers
3x + 3 - 4x - 6
3x - 3 - 4x
3) Combine like terms
3x - 3 - 4x
-x - 3
If $5x-7=13x+17$, what is $6(x-4)$?
Answers
Answer:
0(x-4)
Step-by-step explanation:
in my working system i mean just when i try on the place of 4 any number can be inserted
$5x-7=13x+17$,here both gives -22 as a result so
$6(x-4)$=6x-24 and to give the same result or 0
$6(x-4)$=0(x-any number )