The perimeter of the triangle is 15.4 units.
Step-by-step explanation:
The triangle has vertices at (-1,5), (4,2), and (0,0).
To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.
Let us consider the points as A (-1,5) and B (4,2) and C (0,0).
The distance formula is given by :
⇒ [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
Distance of AB :
A (-1,5) ⇒ (x1,y1)
B (4,2) ⇒ (x2,y2)
⇒ [tex]\sqrt{(4+1)^{2}+(2-5)^{2} }[/tex]
⇒ [tex]\sqrt{5^{2}+-3^{2} }[/tex]
⇒ [tex]\sqrt{25+9}[/tex]
⇒ [tex]\sqrt{34}[/tex]
⇒ 5.8
∴ The length of the side AB of the triangle is 5.8 units.
Distance of BC :
B (4,2) ⇒ (x1,y1)
C (0,0) ⇒ (x2,y2)
⇒ [tex]\sqrt{(0-4)^{2}+(0-2)^{2} }[/tex]
⇒ [tex]\sqrt{16+4 }[/tex]
⇒ [tex]\sqrt{20}[/tex]
⇒ 4.5
∴ The length of the side BC of the triangle is 4.5 units.
Distance of CA :
C (0,0) ⇒ (x1,y1)
A (-1,5) ⇒ (x2,y2)
⇒ [tex]\sqrt{(-1-0)^{2}+(5-0)^{2} }[/tex]
⇒ [tex]\sqrt{1+25}[/tex]
⇒ [tex]\sqrt{26}[/tex]
⇒ 5.1
∴ The length of the side CA of the triangle is 5.1 units.
Now, the perimeter of the triangle is given by :
Perimeter = Sum of the lengths of all three sides of the triangle.
⇒ 5.8 + 4.5 + 5.1
⇒ 15.4 units.
∴ The perimeter of the triangle is 15.4 units.
Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
She uses her ruler to draw a 4 inch line segment .
She uses her compass to draw a circle around point with radius 3 inches
She draws another circle, around point with radius 5 inches.
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
ΔABC and ΔABD are the required Triangle.
What is Construction?Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.
We have,
Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
Elena should find the intersection of two circles at point C and point D.
Connect point B and C, A and C or connect them.
ΔABC and ΔABD are the required Triangle.
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Read the passage from "The Walrus and the Carpenter."
The sun was shining on the sea,
Shining with all his might:
He did his very best to make
The billows smooth and bright —
And this was odd, because it was
The middle of the night.
Which of the elements of poetry best contribute to the sound of the poem?
A.) The sound creates personification.
B.) The sound contributes to the poem's theme.
C.) The sound makes the poem sillier.
D.) The sound makes the poem more formal.
Answer: i think the awnser is c
Step-by-step explanation: hope it helps
Answer:
the answer is The sound makes the poem more formal AKA C I hope this helps.
Please help me... Everyone is getting this wrong...
Which is the correct way to model the equation Negative x + 8 = 7 x + (negative 8) using algebra tiles?
You would have:
1 negative x tile and 8 positive unit tiles on the left side and 7 positive x tiles and 8 negative unit tiles on the right side.
Answer:
1 negative x tile and 8 positive unit tiles on the left side and 7 positive x tiles and 8 negative unit tiles on the right side. is the answer.
Step-by-step explanation:
e d g e 2020
A wholesaler sells rolls of fruit snacks in two sizes of bags. The table shows the number of rolls that come in each bag. Write an expression that could be used to determine the number of rolls in 3 large bags and 2 small bags. Then find the number of rolls.
Answer:
3 × 10 = 30 2 ×5 = 10
Step-by-step explanation:
30 + 10 = 40 rolls
The volume of a cone with a height of 6 cm is 8pi cubic cm. Which expression can be used to find r, the radius of the cone?
Answer:
1/3πr^2h=1/3πr^2(6)
Step-by-step explanation:
Use the cone formula and set it equal to what you have given from the problem.
Answer:
d
Step-by-step explanation:
i just did the quiz and got 100 percent
Multiply the binomials (2x − 4) and (2x − 3). A) 4x2 − 14x + 12 B) 4x2 − 14x − 12 C) 4x2 + 2x − 12 D) 4x2 − 2x − 12
The right answer is of option A
look at the attached picture ⤴
Hope it will help you..
Answer option A
Step-by-step explanation:
Fast please I need right now
Answer:
the answer is C
Step-by-step explanation:
What was the total cost?
Answer:
The total cost = $13.2
Step-by-step explanation:
Cost of per kg spherical beads =$ 3
Cost of 4.4 kg spherical beads =$ 3× 4.4= $13.2
Answer:13.2$
Step-by-step explanation:
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Which equation represents a proportional relationship between the x and y values?
A) y + 4 = 3x
B) y − 3x = 0
C) y + 5x = 6
D) y + 1/4x = 2
Answer:
B
Step-by-step explanation:
In a proportional relationship the equation is of the form
y = kx ← k is the constant of proportion
The only equation that can be expressed in this form is
y - 3x = 0 ( add 3x to both sides )
y = 3x ← in proportional form with k = 3
Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5 pPLS URRY
Answer:
y = 4
Step-by-step explanation:
This is a never changing equation that sets y as 4 no matter what, so it's a horizontal line, a slope of zero.
You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers membership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B
Answer:
The cost will be the same after 1 month
Step-by-step explanation:
Step 1: set up the equation
club A= 28x+24 club B= 35x+17
club A=club B: 28x+24=35x+17
Step 2: Get rid of the smallest X
28x+24=35x+17
-28 -28
24=7x+17
Step 3: Get rid of the constant next to the variable to isolate the variable
24=7x+17
-17 -17
7=7x
Step 4: Inverse operation to remove variable
7÷7x=7x÷7x
1=1
I hope this helped, im not too good at explaining but im positive the solution is correct.
Answer:
With $35, a member is paying 100%.
Since the reduction is 5%, that means his is paying now 95% of $35,
that means $35 x 0.95 = $33.25, So the decrease in fees is 35-33.25 = $1.75
Another method: the reduction was 5% on the $35 or 5% x 35 = 0.05x35=$1.75
Step-by-step explanation:
Help please, I don’t understand
Answer:
v = 16.155 m/s
Step-by-step explanation:
[tex]W = 0.5 mv^2 \\ plug \: m = 6 \: and \: w = 783 \\ 783 = 0.5 \times 6 \times {v}^{2} \\ 783 = 3 {v}^{2} \\ {v}^{2} = \frac{783}{3} \\ {v}^{2} = 261 \\ v = \sqrt{261} \\ v = 16.1554944 \\ \huge \red{ \boxed{v = 16.155 \: m {s}^{ - 1} }} \\ [/tex]
The data shows the ages of people in a restaurant.
20, 25, 5, 28, 66, 62, 21, 28, 34, 38, 40, 10, 12, 15, 45, 50, 28
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answer:
Hi! I added a picture.
Tell me if you need help!
Hope this help, have a great day, and Stay Safe!
Answer:
heres mine for a math unit test!
have a wonderful day!!
What is the area of the triangle?
6 ft
b=3.6 ft
h=4.8 ft
A=8.64 ft?
B=10.8 ft
C=14.4ft?
D=17.28 ft?
The right answer is of option A.
Look at the attached picture ⤴
Hope it will help u..
Answer:
A = 8.64ft
Step-by-step explanation:
Use the triangle formula. Do:
A = hb/2 (A = area, h = height, b = base) after using this formula you should end up with 8.64ft
Which sets can be represented using the Venn diagram below?
Answer:
There is no Venn Diagram!
Step-by-step explanation:
There is no answer, where is the Venn Diagram?
A= {animals}; B= {mammals} or C
QUESTION 3
Construct a function for the relationship.
Answer:
f(x)=3x-4
Step-by-step explanation:
Can someone help me with the first answer please??15 points**
Answer:
The answer would be 21 because 70% of 30 is equal to 21.
Vote me brainliest :) please!
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
A) y = -4/3 x + 31.
y = 2 x + 7.
B) y = -4/3 x + 31/3
y = 2 x + 7.
C) y = -4/3 x + 31.
y = -2 x + 7.
D) y = -4/3 x + 31/3
y = -2 x + 7.
Answer:
B) y = -4/3 x + 31/3
y = 2 x + 7
Step-by-step explanation:
The equations above match the description given about them.
If this answer is correct, please make me Brainliest!
Help!!
How many solutions does this system have?
y = 3/4x - 5
3x+ 4 y= -20
one
two
an infinite number
no solution
Answer:
one solution
Step-by-step explanation:
y = 3/4x - 5
3x+ 4 y= -20
Substitute the first equation into the second equation
3x+ 4 (3/4x -5)= -20
Distribute
3x +3x - 20 = -20
6x -20 = -20
Add 20 to each side
6x -20+20 = -20+20
6x = 0
x=0
We need to find y
y = 3/4x -5
y =0-5
y = -5
There is one solution
Answer:
A) one
Step-by-step explanation:
y = 3/4x - 5
3x+ 4 y= -20
3x + 4(3x/4 - 5) = -20
3x + 3x - 20 = -20
6x = 0
x = 0
y = -5
One solution: (0,-5)
Find the missing side length, s.
Answer:
s=10
Step-by-step explanation:
What is the product?
(-3s +21)(45-6)
A-1252-222
B-1252 +222
C-1252 +8st – 22
D-12s +11st-212
The solution to the product of the algebraic expression is: -12s² + 11st - 2t²
How to solve algebraic expressions?The algebraic expression is given as:
(-3s + 2t)(4s - t)
(-3s + 2t)(4s - t)
Use the foil method to multiply the terms. So, we distribute -3s to (4s - t) and we will also distribute 2t to (4s - t) as well.
-12s² + 3st + 8st - 2t²
Now combine like terms.
-12s² + 11st - 2t²
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Complete question is:
What is the product?
(-3s + 2t)(4s - t)
please help me 20 points!
Answer:
37.7 is the volume
Step-by-step explanation:
You just need to solve with the formula
(I hope it helps!)
Ben sold tires for $35.55 each. How much, x, did he make after selling t, tires?
Answer:
x=35.55t
Step-by-step explanation:
Pls mark Brainliest.
Answer:
Since t is the number of tyres, we multiply it by the unit rate, i.e. the cost per tyre; since x is the total amount of money he makes from selling tyres the equation will look like:
x = 35.55t
what is ordering fraction and give me example please
Answer:
Ordering fractions means putting them in order technically. Such as from least to greatest or greatest to least.
Example:
6/8, 12/18, 15/19
This is a least to greatest example.
Answer: Arranging either in increasing or decreasing order.
Basically it's like Greatest to Less, and Less to Greatest.
Greater to Less
[tex]4/5 > 6/8 > 2/4 > 1/4[/tex]
Less to Greater
[tex]1/4 < 2/4 < 6/8 < 4/5[/tex]
This is just like putting ordinary numbers Greatest to Less or Less to Greatest.
Solve the equation logo(13 - x) = 1.
x =
Answer:
x=12
Step-by-step explanation:
WC= 15 and CO = 17, what is OW?
We know that triangle COW is a right triangle by the Tangent to a Circle Theorem.
So, we can use Pythagorean Theorem to find OW.
OW² + WC² = CO²
OW² + 15² = 17²
OW² + 225 = 289
OW² = 64
OW = 8
OW, the length of the side of the right triangle, can be found using the Pythagorean theorem. Substituting the given values into the formula and solving for OW gives a result of 8.
Explanation:The question seems to present us with a right triangle, where WC is one leg, CO is the hypotenuse, and OW is the other leg we need to find. We can use the Pythagorean theorem, which says that in a right triangle, the square of the hypotenuse (CO) is equal to the sum of the squares of the other two sides (WC and OW). In a formula, this is a² + b² = c², where c is the hypotenuse.
Substituting the given measurements into the formula we get: WC² + OW² = CO², so OW² = CO² - WC².
OW = sqrt(CO² - WC²) = sqrt((17)² - (15)²) = sqrt(289 - 225) = sqrt(64), so OW = 8.
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Family A and Family B both have 8 people in their family.
The ages of each member is listed below.
Family A: 35, 5, 42, 9, 16, 3, 8, 12
Family B: 1, 5, 29, 3, 7, 35, 6, 9
Which statement is correct about the variability of the two
families?
a. The variability is the same for both Family A and Family B
because they have the same mean absolute deviation
b. The variability for Family A is greater because the mean is
greater for Family A
c. The variability for Family B is greater because the mean
absolute deviation is greater for Family
d. There is not enough information to determine the variability,
Answer: the answer B
Step-by-step explanation:because it has higher smaller numbers than B
This is about variability.
Option B is correct.
Variability is just a measure of the consistency of the values in a given data .
Let's find the mean of both families data set;
Family A: 35, 5, 42, 9, 16, 3, 8, 12
Mean of Family A ages = (35 + 5 + 42 + 9 + 16 + 3 + 8 + 12)/8 = 16.25Mean of Family B ages = (1 + 5 + 29 + 3 + 7 + 35 + 6 + 9)/8 = 11.875Now, the higher the mean, the higher the variance and thus the higher the variability.Thus, we can conclude that; The variability for Family A is higher because its' mean is higher.Read more at; https://brainly.com/question/12477423
Write 9/10 as a percent and decimal
Answer:
90% and 0.9
Step-by-step explanation:
What is the minimum volume of hot air needed to lift a hot air balloon carrying 800kg
Answer:
The minimum volume of hot air needed to lift a hot air balloon carrying 800kg
Is 653.1m³
Step-by-step explanation:
This problem bothers on the density of materials in this problem air
Given data
Volume of air V=?
Mass of air m= 800kg
From tables the density of air is
ρ =1.225 kg/m3
Now to solve for the volume we have
ρ=m/v
v=m/ρ
v=800/1.225
Volume v = 653.1m³