He needs 20 minutes to install all of the fence.
Since we have given that
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
1) For making it a right triangle it must satisfy the "Pythagorus theorem" which states that
H²= B²+P²
⇒ 20²= 15²+8²
⇒ 400 ≠ 225+64
⇒ 400≠ 289
No, it will not be able to make a right triangle.
2) Joel cut the longest piece of wood in order to make a right triangle.
So, from above we get that
√289= 17 FEET
So, Longest side must be 17 feet.
It is takes him 30 seconds to install each foot of fencing,
Total perimeter of fencing will be
17+15+8=40 feet
So, for 1 foot he needs = 30 seconds
For 40 feet , he will need
40×30=1200 seconds
1200/60
= 20 MINUTES
Hence, he needs 20 minutes to install all of the fence.
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Tanvi is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 36 stuffed cats and 32 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Tanvi can place her stuffed animals into?
Answer:
4 number of groups each with 9 number of stuffed cats and 8 stuffed dogs.
Step-by-step explanation:
Given that:
Number of stuffed cats = 36
Number of stuffed dogs = 32
These are to divided in identical groups such that no stuffed animal is left over.
We have to find the largest number of groups so that Tanvi can place her stuffed animals into.
To find the largest number of such groups, we need to find the HCF (Highest Common Factor).
Let us factorize the two numbers i.e. 36 and 32. Then we will underline the common factors between the two numbers.
[tex]36 = \underline{2\times 2} \times 3\times 3\\32 = \underline{2\times 2} \times 2\times 2\times 2[/tex]
Therefore, HCF is [tex]2\times 2 = 4[/tex]
Therefore, there can be 4 number of groups at the most so that no stuffed animals is left over.
Each group will have [tex]\frac{36}4[/tex] = 9 number of stuffed cats and
[tex]\frac{32}{4}[/tex] = 8 number of stuffed dogs.
How many solutions are there to this equation? 5x + 2-2(x - 1) = 3x + 4*
Ono solution
O exactly one solution
O at least two solutions
Oinfinitely many solutions
The equation 5x ₊ 2 ₋ 2(x₋1) = 3x ₊ 4 has infinitely many solutions. Examining our findings will allow us to determine which case it is. There are endless solutions if we end up with the identical term on both sides of the equal sign, such as 3 = 3 or 2x = 2x. There are no solutions if we end up with different integers on either side of the equal sign, as in 6 = 5.
Given the equation is 5x ₊ 2 ₋ 2(x₋1) = 3x ₊ 4
First apply the multiplicative distribution law.
5x ₊ 2 ₋ 2x ₊ 2 = 3x ₊ 4
now rearrange the unknown terms to the left side of the equation:
5x ₋ 2x ₋ 3x = 4 ₋ 2 ₋ 2
combine like terms.
0 = 4 ₋ 2 ₋ 2
0 = 0
we get the similar value on both sides of the equal sign, which indicates that the equation has infinitely many solutions.
hence the equation has infinitely many solutions.
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Please help its almost due!!
Answer:
you have multiply 11 and 120
Which one of these deals is the lowest price per ounce?
a) 5 ounces for $2.52
b) 7 ounces for $3.48
c) 8 ounces for $3.92
A is the answer j trust me
The tiger population was about 350 in 1975. Today that has decreased by about 35%. About how many tigers are there today?
Answer: $228
Step-by-step explanation:
6g + 3 = 21 ???? plz help lol
Answer:
3
Step-by-step explanation:
Answer:
g=3
Step-by-step explanation:
6g + 3 = 21
6g=18
divide by 6
g=3
Hope this helps!!
Yolanda takes out a loan for her college tuition from a bank that charges simple interest at an annual rate of 8.95%. Her loan is for $2900 for 11 months. Assume each month is 1/2 of a year. Answer each part below.
Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of Onancial formulas.
If the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.
Given that the rate of interest is 8.95%, loan amount is $2900 and the number of months is 11 and we have to assume each month be 1/12 of a year.
We are required to find the amount to be charged after 11 months.
Simple interest is basically calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Loan amount=$2900
Interest rate=8.95%
Months=11
Interest of 11 months=(2900*8.95*11/1200)
=$237.92
Total amount=$2900+237.92
=$3137.92
Hence if the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.
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One line in the question is wrong. The correct line that we have to assume each month be 1/12 of a year.
Happy holidays Plz help
Answer:
so the first one is B
and the second one is C
Step-by-step explanation:
Happy holidays to you too girl!
What is the simplified expression of the following expression?
7
OA.
37 x 7
64 x 7
314
611
OB
OC.
37 + 7
64 + 7
OD
349
628
Reset
Submit
Answer:
2401
Step-by-step explanation:
its really long so i wont right it down
if ∠n and ∠p are supplementary angles, m∠N=(x+3)° and m∠P=(7x-15)° ,find m∠P.
Answer:
132 degrees
Step-by-step explanation:
x+ 3+7x-15=180
8x -12 =180
8x = 168
x=21
7(21) -15
147-15
132
PLZ HELP QUICKLY WORTH 35 POINTS NOT KIDDING AND WILL MARK BRANLIEST
A pair of equations is shown below:
y = 3x − 5
y = 6x − 8
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Answer:
Part A: You can solve this by elimination by first multiplying the first equation by -1 and then adding. This will cause the y value to cancel out.
-y = -3x + 5
y = 6x - 8
---------------
0 = 3x - 3
3 = 3x
1 = x
Now since we know that x = 1, we can plug it into either equation to find y.
y = 3x - 5
y = 3(1) - 5
y = 3 - 5
y = -2.
This gives us the ordered pair of (1,-2).
Step-by-step explanation:
Part B: If we graphed these two, they would intersect at (1, -2). This is because when you solve a system using any method, the result is the intersection of the lines. Therefore, you found where they would intersect in Part A.
Answer: im a cat boi, meow^^
Step-by-step explanation:
point Q' is the image of Q (4,-6) is under a translation by 1 unit to the right.
what are the coordinates of Q'?
Answer:
The coordinates of point Q' would be (5, -6) after being translated 1 unit to the right.
Step-by-step explanation:
HELPPP PLEASE ILL PICK BRAINLEST!!! THANK YOUU
Answer:
56 or a
Step-by-step explanation:
hope u get it right
If Lauren reads for 30 minutes in 6 minutes in a 240 page novel,what is the constant of proportionally
Answer:
The Constant of Proportionality is 5 pages per minute.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
Lauren reads 5 pages per minute.
Step-by-step explanation:
Just divide 30 by 6 to get your answer
can you help pls i rlly need help
Answer:
200+50x = first month
50x (x represents number of months)
First month is 200+5=$250
Step-by-step explanation:
I will give a brainlist if you help me with this! :))
Answer:
The length of [tex]\overline{AD}[/tex] is 20 inches
Step-by-step explanation:
The given parameters are;
Triangle ABC is similar to triangle DEC, therefore, we can write, ΔABC~ΔDEC
[tex]\overline{AC}[/tex] = 30 inches
[tex]\overline{BA}[/tex] = 18 inches
[tex]\overline{ED}[/tex] = 6 inches
By similar triangles formula, we have;
[tex]\overline{BA}[/tex]/[tex]\overline{ED}[/tex] = [tex]\overline{AC}[/tex]/[tex]\overline{DC}[/tex]
Substituting the known values gives;
18/6 = 30/[tex]\overline{DC}[/tex]
Therefore, [tex]\overline{DC}[/tex] = 30/(18/6) = 30/18 × 6 = 10
[tex]\overline{DC}[/tex] = 10
[tex]\overline{AD}[/tex] = [tex]\overline{AC}[/tex] - [tex]\overline{DC}[/tex] = 30 - 10 = 20
[tex]\overline{AD}[/tex] = 20 inches.
MATH AGAIN HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the equation of the quadratic function represented by this table?
x 5 6 7 8 9 10
f(x) -4 5 8 5 -4 -19
Type the correct answer in each box. Use numerals instead of words. f(x) = (x − )2 +
Answer: f(x) = -3(x-7)^2+8
Step-by-step explanation:
-3, 7, 8
f(x)= -3
(x- 7)^2+
8
So the answer is -3, 7, 8
Step-by-step explanation: Got it right on Edmentum
every 2 weeks i get paid starting september 23 when is my next pay day
Answer: October 7
Step-by-step explanation:
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
Write the explicit formula that defines the sequence ,,,, write the explicit formula that defines the sequence f1=-2,f2=1,f3=4,f4=7,f5=10
The explicit formula for the given arithmetic sequence is a(n) = 3n - 1
The given sequence is:
f(1) = -2
f(2) = 1
f(3) = 4
f(4) = 7
f(5) = 10
Notice that this is an arithmetic sequence. The common difference is:
d = a(n) - a(n-1)
= a(2) - a(1) = 1 - (-2) = 3
The general formula for the nth term of an arithmetic sequence is:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 2 and d = 3:
a(n) = 2 + (n - 1) . 3
a(n) = 3n - 1
This is the explicit formula for the nth term.
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Solve for linear equation by substitution
x + 4y = 6
y=-x+3
Answer: y=1 and x=2
Step-by-step explanation:
Substitute the y value in the first equation with the given equation for y. Now that all the terms are the same, you can solve for X by combining like terms.
ie: x+4(-x+3)=6
then
ie: x-4x+12=6
then
ie: -3x=-6
then divide -3 from each side and you'll end with x=2.
Now plug in your x value for the y equation.
ie: y=-2+3
And solve.
2 and 9 multiples of 2??
Is 2 and 9 multiples of 2?
2 is a multiple of 2 but 9 isn't
A line passes through the point (4,9) and has a slope of -3/2
What is the y-intercept?
The y-intercept is positive 15
subtract 4/5-1/5 i will give yall 87 points if yall answer
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5}[/tex] - [tex]\frac{1}{5}[/tex] = [tex]\frac{3}{5}[/tex]
When the denominator of both fractions are the same, you can just calculate the numerators while leaving the denominator alone. In this case, 4-1=3 and the denominator is 5.
Answer:
3/5
Step-by-step explanation:
denominators must be the same. Then subtract how you would subtract positive numbers and keep the denominator the same
4 - 1 = 3
3/5
What is the quotient
Answer:
-3
Step-by-step explanation:
if u need an explanation, reply and i'll give it to you. If not, have a good day :)
I need help with my work
Answer:
number 6 is -8 number 7 is 9 number 8 is 25 and number 9 is -16
What is the value of 24 - (-6 - (5 + 8))?
Answer:
43
Step-by-step explanation:
Simply follow PEMDAS.
24 - (-6 - (5 + 8))
24 - (-6 - 13)
24 - (-19)
24 + 19
= 43
3.5w + 4.2w + 1.5 + 9.6w - 8.8w
Answer:
8.5w + 1.5
Step-by-step explanation:
Combine like terms: 3.5w + 4.2w + 9.6w - 8.8w = 8.5wRe-write expression: 8.5w + 1.5I hope this helps!
Answer:5-(17w+3)
—————————-
10
Step-by-step explanation: 1): "8.8" was replaced by "(88/10)". 5 more similar replacement(s)
STEP
1
:
44
Simplify ——
5
Equation at the end of step
1
:
35 42 15 96 44
((((——•w)+(——•w))+——)+(——•w))-(——•w)
10 10 10 10 5
STEP
2
:
48
Simplify ——
5
Equation at the end of step
2
:
35 42 15 48 44w
((((——•w)+(——•w))+——)+(——•w))-———
10 10 10 5 5
STEP
3
:
3
Simplify —
2
33)
Which sequence is arithmetic?
6)
A)
1,3,9,27
1,4,16,64,
C)1,4,9,16,
D)3,7.11.15
Answer:
Ima assume D
Step-by-step explanation:
because it is increasing at an constant amount which is by 4