Triangle ABC is shown on the grid.
What is the perimeter of triangle ABC?
9 + units
9 + units
9 + units
9 + units
Answers
(C) The perimeter of the ΔABC is 9 + √41 units.
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
The vertices of the triangle on the girds are A( - 1, 5 ), B( 4, 5 ), and C( - 1, 1 ).
The distance formula for the length of a line segment is given as:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore,
[tex]AB=\sqrt{(4-(-1))^2+(5-5)^2}=\sqrt{(4+1)^2+0}=5[/tex]
[tex]BC=\sqrt{(-1-4)^2+(1-5)^2}=\sqrt{(-5)^2+(-4)^2}=\sqrt{25+16}\\BC=\sqrt{41}[/tex]
[tex]AC=\sqrt{(-1-(-1))^2+(1-5)^2}=\sqrt{(-1+1)^2+(-4)^2}\\AC=\sqrt{0+16}=4[/tex]
Hence, the length of the sides of the triangle are [tex]5,\sqrt{41},4[/tex] units.
Now, the perimeter of a triangle is the sum of all three sides of the triangle.
Therefore, the perimeter of the triangle ABC is:
P = AB + BC + AC
P = 5 + √41 + 4
P = 9 + √41 units
Therefore, the perimeter of ABC is 9 + √41 units.
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The complete question is mentioned below:
Triangle ABC is shown on the grid.
What is the perimeter of triangle ABC?
(A) 9 + √21 units
(B) 9 + √29 units
(C) 9 + √41 units
(D) 9 + √61 units
Related Questions
Professor Dale records the following final grades in one of her classes: A, A, A, A, B, B, B, B, B, B, B, C, C, C, C, C, C, C, C, D, D, D, F, F Which value would complete the frequency table for these grades? Grade Frequency Relative Frequency Cumulative Frequency A 4 16.70% 4 B 7 29.20% 11 C ???? 33.30% 19 D 3 12.50% 22 F 2 8.30% 24 Total 24 100% 24
Answers
The value of the frequency for grade C from given table of final grade is 8.
As given,
Given frequency table is:
Grade: A B C D F
Frequency: 4 7 ? 3 2
Relative Frequency: 16.70% 29.20% 33.30% 12.50% 8.30%
Cumulative Frequency: 4 11 19 22 24
Given records: A, A, A, A, B, B, B, B, B, B, B, C, C, C,C, C, C, C, C,D,D,D, F,F
Here : frequency of grade C is 8 times
or Cumulative frequency (19-11=8).
Therefore, the value of the frequency for grade C from the given table of final grade is 8.
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Compute ⌈x⌉ and ⌊x⌋ for the following value of x. 71.999
Answers
The floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.
What is the Floor and Ceiling Functions?By definition, the ceiling function returns the smallest nearest integer which is greater than or equal to the specified number whereas the floor function returns the largest nearest integer which is less than or equal to a specified value.
Thus, the Floor function ⌊x⌋ of 71.999 returns 71 which is less than 71.999. Meanwhile, the ceiling function ⌈x⌉ of 71.999 returns 72 which is greater than 71.999.
Thus, we conclude that the floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.
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help pleaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
V(x) = -1600x + 21,000
x (number of years)
Step-by-step explanation:
"advised "
(a). if x = 4 (replace x with 4)
Using the formula above
V(4) = -1600(4) + 21,000
= -6400 + 21,000
= $14600
Value of the car after four years is $14600.
(b). if x = 8 (replace x with 8)
Using the formula
V(8) = -1600(8) + 21000
= -12800 + 21000
= $8200.
Value of the car after eight years is $8200.
(c). V(10) = 5000
This is the value of the car after 10 years
Check.
V(10) = -1600(10) + 21,000
= -16000+21,000
= $5000.
Value of the car after 10 years is $5000.
Hope this helps >>>>
What is the equation of the line that is parallel to the given line and passes through the point (-3, 2)? is it d?
Answers
Answer: The answer would be 3x+4y=-17
Step-by-step explanation: The reason why that would be the answer is because when you substitute the coordinates into the equation you get -17 and their asking if it is parallel and they are!
Hope this helps :P
What value of a makes the following equation true?
a−8a=210
Enter your answer as a number, like this: 42
Answers
1. Combine like terms
a - 8a = -7a
2. Divide both sides by -7
-7a / -7 = a
210 / -7 = -30
3. Simplify
a = -30
Answer Recap: a = -30
am i crazy or is this problem actually hard?! please help
Answers
Answer: its correct
Step-by-step explanation:
This is a question from Algebra 1, relating to symbolic representation. Please add an explanation to your answer. Thank you! I will mark you brainliest if you answer & explain!
Answers
What the given equation m = ((C + 200y) - 8000))/12y represents is as follows;
m is the amount of each monthly payment
C is the cost of the car
y is the length of loan in years
(C + 200y) - 8000) is the total amount she will repay
12y is the number of payments that she will make
How to interpret Compound Interest formula?
We know that the formula to get the compound interest is;
A = P(1 + r/100)ⁿ
Where;
A is Amount.
P is Principal
r is Rate of interest
n is time in years
Now, when we compare that to our formula given as;
m = ((C + 200y) - 8000))/12y
we can say that;
m is the amount of each monthly payment
C is the cost of the car
y is the length of loan in years
(C + 200y) - 8000) is the total amount she will repay
12y is the number of payments that she will make
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To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answers
Answer:
437 33473333336575848
Answer:
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer choice: C & E.
Step-by-step explanation:
Glad to help.
put the unknown price of the four tire patches as x,
and for all, it should add up to $22.20 and you're to subtract $1.90.
Two towns are 52 km apart. Buses travelling
between the two towns leave at the same
time but travel in opposite directions. The
bus from town A is travelling 80 km/h and
the bus from town B is travelling 70 km/h.
How long after they leave will they pass each
other? (Reminder: there are 60 minutes in an
hour!)
Answers
Step-by-step explanation:
x = number of km bus from A drives until they meet.
y = number of km bus from B drives until they meet.
x/80 is the time for the bus from A to reach the meeting point.
x/70 is the time for the bus from B to reach the meeting point.
both times must be equal, as they start at the same time.
so,
x/80 = y/70
but then we also know that together they have traveled the full 52 km to meet.
so,
x + y = 52
x = 52 - y
with that we go into the first equation :
(52 - y)/80 = y/70
(52 - y)/8 = y/7
7×(52 - y)/8 = y
7×(52 - y) = 8y
364 - 7y = 8y
364 = 15y
y = 364/15 km = 24.26666666... km
x = 52 - y = (780-364)/15 = 416/15 = 27.73333333... km
they will meet after (using bus from B)
364/15 / 70/1 = 364/1050 hours
= 182/525 hours =
= 60×182/525 = 10920/525 minutes =
= 728/35 = 104/5 = 20.8 minutes =
= 20 minutes 60×8/10 seconds =
= 20 minutes 48 seconds
control (using bus from A) :
416/15 / 80/1 = 416/1200 hours =
= 26/75 hours =
= 60×26/75 = 1560/75 minutes =
= 104/5 = 20.8 minutes
correct.
Please please help me out with this !
Answers
Answer:
1. 11,207.23
2. 11,285.58
3. 11,303.49
4. 11312.52
I don't know if the last one is correct
Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden.
The length of each side of the original garden was
feet.
The area of the original garden was
feet2.
Answers
The original garden was 6 feet long on each side. The original garden's footprint measured 36 feet.
How would you define Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
Using the information provided,
(x-1)²=25
(x-1)=5
x=6
6x6=36 feet²
The original garden had six sides that were the same length.
The original garden covered 36 feet of space.
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Answer:
6 ft & 36ft
Step-by-step explanation:
find it quick please
Answers
Ii- -9/7
iii- -1/7
Answer:
i. 13/40
Step-by-step explanation:
i. [tex]5 \div 8 + 3 \div - 10[/tex]
Taking LCM of 8 & 10, we get 40
[tex]25 - 12 \div 40[/tex]
So, we get 13/40
1.) Ab+ac
2.) 6m+8
3.) 27d²+8d³-15d4t
4.) 27 m²n³p5-20m5n²p
Answers
Answer:
1.) ab × ac
a × (b + c)
2.) 6m + 8
2 (3m + 4)
3.) 27d²+8d³-15d4t
27d²+8d³- (15 × 4)dt
27d²+8d³- 60dt
4.) 27m²n³p5-20m5n²p
135m²n³p - 20m × 5n²p
135m²n³p - 100mn²p
Carlos’ pay stub is shown. What is his net pay? Round to the nearest cent. Gross Pay-$1,800.00
Medicare-$26.10
Social Security (6.2%)-?
Federal Withholding Income Tax (19%)-?
Answers
By subtracting the taxes from the gross pay we can see that Carlos' net pay is $1,500.30
How to find Carlos' net pay?We know that the gross pay is $1,800, now we need to subtract the social security and taxes.
First, there is a 6.2% and 19% in taxes, adding that we get:
6.2% + 9% = 15.2%
Then we need to subtract a 15.2% of the gross pay, this will give:
P = $1,800*(1 - 15.2%/100%) = $1,800*(0.848) = $1,526.40
And now we also need to subtract the Medicare, which is $26.10, it gives:
$1,526.40 - $26.10 = $1,500.30
We conclude that Carlos' net pay is $1,500.30
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m = x+y/3 solve for y
Answers
Answer:
y=3m-3x
Step-by-step explanation:
[tex]m=x+\frac{y}{3} \\ \\ m-x=\frac{y}{3} \\ \\ y=3m-3x[/tex]
I’m confused can someone help?
Answers
Answer: Maybe you have to divide $525 over 5 friends so you will get how much each one gets.
Find the x-intercept and y-intercept from the graph below.
Answers
Answer:
Step-by-step explanation:
First choice
to find x intercept, substitute y = 0.
where it cuts the y axis is -55
similarly, where it cuts the x-axis is 25
anser is x-int (-55,0) u - int (x,25)
Red can clean a room in 20 hours alone, while Blue can clean the same room in 10 hours. If they started cleaning a room together at 8:00am, then at what time will they finish cleaning the room together?
Answers
Answer:
No.
Step-by-step explanation:
Blue will be done cleaning the room at 6:00PM, while Red will be done by 4:00AM.
Write the slope-intercept form equation of the line that passes through the points (1,−6) and (9,−5).
Complete the equation in the space below (do not enter "y = ").
Answers
Answer:
Step-by-step explanation:
Point slope form y-y₁ = m(x-x₁)
-5 - (-6) = m(9 - 1)
1 = m(8)
1/8 = m
y= 1/8x + b
-6 = 1/8(1) + b
b = -6.125
y = 1/8x -6.125
A lifeguard walks around the perimeter of the lazy river ride. How far does the lifeguard walk?
Answers
The lifeguard walks around the perimeter which is 637.50 feet.
Perimeter is defined as the measure of sum all sides of a 2 dimensional figure. To calculate the perimeter we add all the individual sides of a polygon. The perimeter of a square is the sum of all four sides.
Since a triangle has three sides, the perimeter of a triangle is calculated by adding the sum of all the three sides of the triangle.
In the given figure we can see that the triangle is isosceles and the measure of the sides of the triangle are 216.75 feet , 216.75 feet and 204 feet.
Now the lifeguard walks around the perimeter of the triangular lazy-river ride.
Therefore perimeter = 216.75 +216.75 + 204 = 637.50 feet
Hence the lifeguard walks the perimeter which is 637.50 feet.
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11. Myrtle Gould's total sales last month were $180,700, and her commission was $5,040. She earns a
commission only on monthly sales over $50,000. Find her rate of commission to the nearest tenth percent.
South-Western Publishing
7
Chapter 1 Workbook
Answers
The rate of commission for a commission of $5040 on total sales of $180700 nearest to tenth percent will be 2.8 %.
What is commission rate ?
The commission rate is the percentage or fixed payment associated with a certain amount of sale.
It is given that , Myrtle Gould's total sales last month were of $180700. And the commission she got for the sales was $5040.
Here , the sale is above the criteria to get the commission which is $50000.
The rate of commission can be calculated as follows :
Rate of commission (R) = (5040 × 100) / 180700
or
R = 504000 / 180700
or
R = 2.8 %
or
Rate of commission will be 2.8 %.
Therefore , the rate of commission nearest to tenth percent will be 2.8 %.
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can anybody help me with this question
Answers
Answer:
45.83/100
Step-by-step explanation:
assuming all participate in a language
German=1/6
French=3/8
Italian=remaining percentage=a
1/6+3/8+a=1
8/48+18/48+a=1
a=48/48-26/48
a=45.83/100
Solve the equation.
2+|2x−4|=10
Enter your answers by filling in the boxes.
x =
or x =
Answers
Answer:
Step-by-step explanation:
|2x+4|=8
2x+4=8 and 2x+4=-8
x=2 and x=-6
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.
Answers
Answer:
10362
I found it from somewhere
Justify -7k=-42 , then k=6
Answers
Answer: K=6 is correct
Step-by-step explanation:
If you substitute 6 for k and then multiply -7 the answer equals correctly!
2. Divide -7 over -7k and what you do on the left, you do on the right. Then divide -7 over -42 and your answer is 6, therefore k=6
For each of the following, evaluate or solve, assuming that the function is one-to-one.
Answers
Find the value of c in the equation c3 = -64
Answers
Answer:
c = -4
Step-by-step explanation:
c³ = -64
∛c³ = ∛-64
c = -4
Check:
-4 *-4 * -4 = -64
Here are four digits.
9648
Use three of these digits to write down the smallest possible 3-digit number.
Answers
Answer:
468
Step-by-step explanation:
use the smallest digit in the hundreds place , that is 4
use the next smallest digit in the tens place, that is 6
use the next smallest digit in the units place, that is 8
smallest 3- digit number is 468
Answer: 468
Step-by-step explanation:
Numbers are= 9,6,4,8
Now, rearrange all numbers according to weight,
4<6<8<9
The smallest possible 3-digit number will be 468
(30 POINTS) A construction worker is pouring concrete stairs. The first step requires 1.7 cubic feet of concrete, and the first 4 steps require a total of 17 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps?
51 cubic feet
93.5 cubic feet
132.6 cubic feet
244.8 cubic feet
Answers
The volume of concrete required for the first 12 steps is 132.6 cubic feet
Given data
the first step requires 1.7 cubic feet of concrete
the first 4 steps require a total of 17 cubic feet
How to solve for the first 12 stepsthe first term = a = 1.7
4th step = n/2 ( 2a + ( n - 1 ) d )
d is common difference
n = number of terms
17 = 4/2 ( 2*1.7 + ( 4 - 1 ) d )
17 = 2( 3.4 + 3d )
8.5 = 3.4 + 3d
5.1 = 3d
3d = 5.1
d = 1.7
sum of AP at 12th step
12th = n/2 ( 2a + ( n - 1 ) d )
12th = 6( 2 * 1.7 + ( 12 - 1 ) * 1.7)
12th = 6 (3.4 + 11 * 1.7)
12th = 6 * 22.1
12th = 132.6 cubic feet
The volume of concrete required for the first 12 steps is 132.6 cubic feet
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Jayme buys a painting for $179.99 for his apartment. The tax rate is 6.5%. How much did Jayme spend after tax?
Answers
Answer:
$191.69
Step-by-step explanation:
