Answers
The perimeter of the triangle is 36 units.
Distance
The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of the triangle is A(0, 0), B(10, 0) and C(5, 12). Hence:
AB = 10 units
[tex]BC=AC=\sqrt{(5-0)^2+(12-0)^2}=13\ units[/tex]
Perimeter of triangle = AB + BC + AC = 10 + 13 + 13 = 36 units
The perimeter of the triangle is 36 units.
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Related Questions
8th grade math, please help asap
Answers
Charlie has a collection of books that he wishes to display in a narrow bookcase with shelves of width 56cm. The thickest books are no more than 16cm wide and, when placed side by side, the entire collection takes up 2.4m. Find, with justification, the minimum number of shelves required to guarantee that all of the books can be displayed in the bookcase.
Answers
Answer:
5 shelves
Step-by-step explanation:
Given the following :
Width of shelves = 56cm
Maximum thickness of books = 16cm
When placed side-by-side, the entire collection of books takes up 2.4m
Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.
Entire book collection = 2.4m = (2.4 × 100) = 240cm
Width of shelf = 56cm
In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm
Hence, maximum number of books each shelf can hold with guarantee
Width of shelf / max. Width of book
= 56cm / 16cm = 3.5
Hence, a shelf can hold 3 books with full guarantee.
If books are all 16cm thick, then the number of books ;
240 cm / 16 cm = 15 books
If one shelf can hold 3 books, then,
15/3 = 5 shelves are required to hold the books with maximum guarantee.
Eastside Gym charges a $60 initial fee and $28.50 per month. Valley Gym charges $36 per month, and no initial fee. After how many months of use would Eastside cost less than Valley
Answers
answer: after 6 months
of the 777 graduating seniors in a certain high school, approximately 1/3 are going to a trade school, and approximately 2/7 of those going to a trade school are going to an art or design institute. wich of the following is the closest estimate for the number of graduating seniors going to an art or design institute
a) 74
b)75
c)110
d)219
e)256
Answers
Answer:
A. 74
Step-by-step explanation:
777/3 = 259
2/7 of 259 is 2/7 times 259 and that is 74
74 people are going to an art or design institute
Which of the following represents this function written in standard form?
y = 2(x - 1)(x-6)
A.y=2x^2 - 12+6
B. Y=2x^2 - 14x +12
C.y=2x^2 -12x+12
D.y=2x^2 -7x+12
Answers
Answer:
Hey there!
2(x-1)(x-6)
2x-2(x-6)
2x^2-2x-12x+12
2x^2-14x+12
Choice B is correct.
Let me know if this helps :)
solve by substitution y=2x-1 y=3x+1
Answers
Step-by-Step Explanation:
Since the two expressions both equal y, you can set them equal to each other.
2x-1 = 3x+1
Subtract 2x from both sides.
-1 = x+1
Subtract 1 from both sides.
-2 = x
Which describes the pattern in the sequence shown?
3,7,15,31...
Multiply a term by 3 and subtract 2 to get to the next term
Add 4 to a term to get the next term
Each Term is the sum of the two preceding terms plus 5
O Multiply a term by 2 and add 1 to get the next term
Answers
Answer:
multiply a term by 2 and add 1 to get the next term
Step-by-step explanation:
3×2=6 +1 =7
7×2=14+1= 15
15×2=30+1=31
Answer:
Multiply a term by 2 and add 1 to get the next term
Step-by-step explanation:
The first differences of terms are ...
7 -3 = 4
15 -7 = 8
31 -15 = 16
We notice that these increase by a factor of 2. This signifies an exponential sequence. That factor (2) will be the value that each term is multiplied by to get the next. This eliminates the choices "add 4" and "multiply a term by 3 ...".
Trying the remaining two choices, we find that the one that fits is the one shown above.
3+7 ≠ 15, so "the sum of the two preceding terms" doesn't work
2(3) +1 = 7; 2(7) +1 = 15; 2(15) +1 = 31, so "multiply by 2 and add 1" works fine
Solve for a .5(a+b)h
Answers
Answer: 5ah+5bh
Step-by-step explanation:
all i did was foil! hope that helps!
Liam is setting up folding chairs for a meeting. if he arrange the chairs in seven rows of the same length he has five chairs left over. if you arrange the chairs in five rows of the same length he has 15 left over. how many chairs does Liam have?
Answers
Answer: 75
Step-by-step explanation:
This should help you
Try These.
2/3*(-7)8.
Answers
Answer:
-7/12
Step-by-step explanation:
2/3×-7/8
= -7/12
Answer:
-7/12
Step-by-step explanation:
2/3×(-7)/8
2×(-7) = -14
3×8 = 24
-14/24= -7/12
F(x)=3x-6
X=-4
Need sender ASAP
Answers
Answer:
-18
Step-by-step explanation:
3(-4) - 6
-12 - 6 = -18
If r + t = 10 and -r + t = 4, What is the value of 5r + 8t?
Answers
Answer:
71
Step-by-step explanation:
Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7
What major key has the same number of sharps and flats as the key of a minor. A. A major B. F major C. C major D. G major This is a music question, not a math questions
Answers
Answer:
C major
Step-by-step explanation:
major key has the same number of sharps and flats as the key of minor.
Solve x2 + 6x + 7 = 0
Answers:
Answers
Answer:
x2 + 6x = 0 - 7
8x = 7
8x/8 = 7/8
x = 7/8
Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
determine the numerical length of MN
Answer : MN =
Answers
Answer:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
[tex] LM + MN = LN [/tex] (segment addition postulate)
[tex] 5x + 4x = 9 [/tex] (substitution)
Solve for x
[tex] 9x = 9 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{9}{9} [/tex]
[tex] x = 1 [/tex]
MN = 4x
plug in the value of x
MN = 4(1) = 4
5/20
The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to all pets?
2:5
2:4
11:2
2:11
Muson
o
9:00
Answers
Answer:
total dogs= 2
total pets= 2+4+5=11
so, the ratio of dogs to all pets = 2/11
Step-by-step explanation:
Based on the number of all animals in the shop as well as the number of dogs, we can infer that the ratio of dogs to the others is 2 : 11
The first thing to do is to find the total number of animals in the shop:
= Dogs + Cats + Hamsters
= 2 + 4 + 5
= 11 animals
The ratio of dogs to the rest of the animals is:
= Number of dogs : Number of animals
= 2 : 11
= 2 : 11
In conclusion, the ratio is 2:11.
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3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa
Answers
Answer:
The final balance is $78,243.04.
The total compound interest is $20,243.04.
Step-by-step explanation:
Year Principal Yearly Interest Total Interest Total Balance
0 58,000 0 0 58,000
1 58,000 2,967.39 2,967.39 60,967.39
2 58,000 3,119.21 6,086.6 64,086.6
3 58,000 3,278.79 9,365.4 67,365.4
4 58,000 3,446.54 12,811.94 70,811.94
5 58,000 3,622.88 16,434.82 74,434.82
6 58,000 3,808.23 20,243.04 78,243.04
Correct 8695.496 to five significant figures
Answers
Answer:
8695.5
Step-by-step explanation:
you round the four to a five because the number behind it is greater than or equal to 5
hope that helps
Four people have found the perimeter of a forest using different methods their results are given in the table Order them from least to greatest A)Jason,Mika,Leon B)Ashley,Jason,Leon C)Mika,Ashley,Jason,Leon D) Leon,Mika,Jason,Ashley
Answers
Answer:
LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)
Step-by-step explanation:
To order their perimeter from the least to the greatest, express all perimeters in decimals:
LEON = √17 - 2 = 4.1 - 2 = 2.1
MIKA = 1 + π/2 = 1 + 22/7*½ = 1 + 22/14 = 1 + 1.6 = 2.6
JASON = 12/5 = 2⅖ = 2.4
ASHLEY = 2.5
From least to greatest, we have: LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)
360, 180, 120, 90, _, _
find the next two terms
Answers
Answer:
the next terms would be 72 and 60
The next two term are :72 and 60
To get the next two term we are going to substract 1/2, 1/3, 1/4, 1/5, 1/6 from each sequence.
Sequence:360, 180,120,90
360-1/2×360
=360-180
=180
180-1/3×180
=180-60
=120
120-1/4×120
=120-30
=90
90-1/5×90
=90-18
=72
72-1/6×72
=72-12
=60
Inconclusion The next two term are :72 and 60
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f(x)=-3x^2+9x-8 Find f(5)
Answers
Answer:
-38
Step-by-step explanation:
You replace the x with 5.
turns it into -3 (5)^2+9(5)-8
-3(25)+45-8
-75+45=-30-8=-38
-3(5)^2+9(5)-8
answer:
-38
Need Help ASAP This is due in about 10 minutes
Answers
Answer:
1- 3(BDE)
2- 37.18 (83.36 - 46.18=64)
3- 64 (83.36 - 19.36)
4- 140.2 (56.84 + 83.36=140.2)
Can someone help me ?
Answers
Answer:
1. B
2.B
3.C It could also be d because when you round it it would give you
8.7. Also no one leaves a section of their fence not painted. (8.6602540378443864676372317075294) UNROUNDED
Step-by-step explanation:
if angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.
Answers
Answer:
angle NMP = 63°
angle LMP = 74°
Step-by-step explanation:
Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°
But angle NML = 137°.
So,
angle NMP + angle LMP = 137°
=> x° + x° + 11° = 137°
=> 2x° + 11° = 137°
=> 2x° = 137° - 11°
= 126°
=> x° = 126/2 = 63°
angle NMP = 63°
angle LMP = 63 + 11 = 74°
Why must trapezoids be congruent
Answers
Which of the following expressions is equivalent to 3 m ( m − 2 ) − ( m ^2 + 1 ) ?
Answers
Answer:
uh
Step-by-step explanation:
Answer:
me mo miknWhich of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.
Step-by-step explanation:
Perform the indicated operation. 1 and 2/3 plus 5 and 3/8
Answers
Answer:
7 1/24
Step-by-step explanation:
1 2/3+5 3/8=?
first you need to find the least common multiple between 2/3 and 3/8.
the lcm would be 24, so 24 would be your new denominator for both fractions, but the numerators will change to how much you just multiplied each denominator by to get 24. 8x3 is 24, so you would multiply 3x3 to get the new numerator: 9. 3x8 is 24, so you multiply 2x8 to get the new numerator for that fraction:16.
so your new fractions are 1 16/24 + 5 9/24
now you add 16+9=25 (25/24, which becomes 1 1/24), so then you have another whole number: +1, and you add it to 5+1, so no it's 5+1+1=7
so the answer would be 7 1/24
what is the answer to 8 + a0 = 6
Answers
Answer:
im positive it = 6
Step-by-step explanation:
Please help I don’t know this question .
Answers
x = 6
AB = 11
BC = 22
Hope that helps :)
What is an algebraic expression for each phrase? A. The product of 9 and a number t. B. The difference of a number x and 1/2 c. The sum of a number m and 7.1
Answers
Answer:a) 9 x t
b) x - 1/2c
c) m + 7.1
Step-by-step explanation:
STEP 1
Giving the algebraic expression becomes
A- The product of 9 and a number t. = 9 X t
B. The difference of a number x and 1/2 c= x - 1/2 c
C. The sum of a number m and 7.1 = m + 7.1
Step 2
The answers are
a) 9 x t
b) x - 1/2c
c) m + 7.1