Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]
using Heron theorem, we have:
[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]
with S is the area of the triangle
[tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]
Step-by-step explanation:
Area of the triangle with given vertices is equals to 24 square units.
What is Area?"Area is the surface which represents the total space occupied by any two dimensional object."
What is triangle?"Triangle is a polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."
Formula used
In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)
Area of a triangle = [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]
According to the question,
Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)
Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]
= [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]
= 24 square units
Hence Area of the triangle with given vertices is equals to 24 square units.
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Which ordered pair satisfies the system of equations below?
Answer:
(2.5,-0.5)
Step-by-step explanation:
3x-y=8
x+y=2
4x=10
x=2.5
x+y=2
2.5+y=2
y=-0.5
ANS: (2.5,-0.5)
During a promotional event a sporting goods store gave a free t-shrit to every 10 customer and a free water bottle to every 15 customer which customer has the first to get a free t-shirt and a free water bottle
9514 1404 393
Answer:
30th
Step-by-step explanation:
The least common multiple of 10 and 15 is 30.
30 = 10×3 = 15×2
The 30th customer will be the first to receive both promotional items.
Tara has a plastic string that is 3 feet long. She will cut the string to make bracelets that are each foot long.
Part A
Tara creates a number line to help her determine the number of bracelets she can make.
4
0
2
3
Explain how to use the number line to determine the maximum number of bracelets Tara can make.
Enter your explanation in the box provided
I
Answer:
Mark 3 and subtract 1 from each division
Step-by-step explanation:
Tara will mark the number line at point 3.
Then she will subtract 1 from 3 and mark at point 2.
Again subtracting 1 from 2 the next mark is at 1.
And the last mark is at 0.
The first mark at point 3 shows that the string is 3 feet long.
Now we need 1 foot divisions. So we subtract from 1 division from point 3 to get 1 foot long string. So we continue to get 3 equal parts each of 1 foot long by dividing the 3 feet long string into 3 equal divisions.
so the first piece is from 0-1 gives 1 foot long string
The 2nd piece is from 1-2 gives 1 foot long string
The 3rd piece is from 2-3 gives 1 foot long string
A skating rink charges a group rate of $8 plus a fee to rent each pair of skates. A family rents 5 pairs of skates and pays a total of $28.
Answer:
the fee for the skates is 4$ ea
Step-by-step explanation:
what is the relationship between angle a and angle b
Answer:
A
Step-by-step explanation: Because of the fact that vertical angles revolve around angles for top to bottom, its A. Correct me if im wrong.
Write the phrase as an expression.
5 less than 8
An expression is
Answer:
the expression is 5 - 8
which is -3
or
the expression is 5 < 8
What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?
Answer:
5.5%
Step-by-step explanation:
Given data
Simple interest = $137.50
Principal= $500
time = 5 years
We want to find the rate R
Simple interest= PRT/100
137.50 = 500*R*5/100
137.50=2500R/100
cross multiply
137.5*100= 2500R
13750= 2500R
divide both sides by 2500
R= 13750/2500
R=5.5%
Hence the rate is 5.5%
{ x + y = 158
x- y = 112
Answer:
i have know
Step-by-step explanation:
DUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =
Answer: 3481
Step-by-step explanation:
Determine which choice best shows the distributive property of multiplication.
Question 1 options:
7 × 9 = 9 × 7
7 × (9 + 6) = (7 × 9) + (7 × 6)
7 × (9 × 6) = (7 × 9) × 6
1 × 7 = 7
Answer: Identify and use the commutative properties for addition and multiplication. Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. The example below shows how the associative property can be used to simplify. The sum is 14. 7 + 2 + (8.5 + (−3.5)). 7 + 2 + 5. 9 + 5. 14. Group 8.5 and –3.5=5
Step-by-step explanation:
Answer:
7 × (9 + 6) = (7 × 9) + (7 × 6)
Step-by-step explanation:
A frog can hop a maximum speed of about 60 feet every 4 seconds. How far can he hop in 30 seconds
Answer:
its 180
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
15x30=450
I need help please need this answer.
Answer:
Step-by-step explanation:
The answer is C because if you calculate it then the answer would be 65
What is 0.63 divided by 0.18
Answer:
The answer is 3.5. I have included a screenshot that shows the work and how to get 3.5. I hope this helps!
And by the way yes, I do know this is a kinda old question, but I would like points and I have the answer.
:D
- Your friendly (a little bit late) responder!
When you divide 0.63 by 0.18, you get the result of 3.5.
To find the result of dividing 0.63 by 0.18, perform the division as follows:
0.63 ÷ 0.18 = 3.5
When you divide 0.63 by 0.18, the result is 3.5. This means that there are 3.5 sets of 0.18 in 0.63. To verify this, you can multiply 0.18 by 3.5:
0.18 × 3.5 = 0.63
So, 0.63 divided by 0.18 equals 3.5.
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I need help please.
Answer:
C. 37.8
Step-by-step explanation:
Original Price is 54 dollars
30% Discount=0.3*54=16.2
Price after 30% off
54-16.2=37.8
the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were waiting inside how many were outside0
Step-by-step explanation:
I think the wording on this problem is incorrect. is one of the insides supposed to be outside
A disc jockey is organizing his music. He has
277 albums with 14 songs on each of them and
177 singles with 1 song on each of them. How
many total songs does the disc jockey have?
Answer:
The total numbers of songs disc jockey have = 4055 songs
Step-by-step explanation:
As given, A disc jockey has 2 types of files :
1 : Albums
2 : Singles
Given that , in every album there is 14 songs
as we have 277 albums
So, total numbers of songs in 277 albums = 277×14 = 3878 songs ........(1)
Now,
Given that, in each singles there is 1 song
As we have 177 singles
So, total number of songs in 177 singles = 177×1 = 177 songs ..........(2)
So, the total numbers of songs disc jockey have = Total number of songs in 277 albums + total number of songs in 177 singles
⇒The total numbers of songs disc jockey have = 3878 + 177
= 4055 songs
∴ we get
The total numbers of songs disc jockey have = 4055 songs
Parallel to y = -x -5; through (4,-3)
Answer:
y = -x + 1
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Evaluate y=3x for x=2.
y=
Answer:
y=6
Step-by-step explanation:
y=3x x=2
y=3(2)
y=6
For the given expression, the value of y is 6.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ y = 3x
Now, For value of x = 2;
The value of y is,
⇒ y = 3x
Substitute x = 2;
⇒ y = 3 × 2
⇒ y = 6
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Simplify
57
leaving your answer in index form.
Three friends are buying seashells at the gift shop on the beach. Melanie buys 2 seashells for$0.80. Rosi buys 5 sea shells for $2.00. Carlos buys 4 seashells for $1.60.
Answer:
what is the question
Step-by-step explanation:
You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.
Answer:
y ⇒⇒⇒ monthly income
x ⇒⇒⇒ number of times app is opened
$20 per month and an additional $0.005 each time the app is opened
∴ y = 0.005 x + 20
The attached figure represents the graph of y
Step-by-step explanation:
PLS HELP
Will give brainliest pls help!
The graph of Fx), shown
below, has the same shape as the graph of
G(X) = x - x2. Which of the following is the equation of Fx)?
Fb =
A. Fx) = 44-2-3
O B. F(x) = 3 - 44-32
O C. F(x) = x4 - 12+ 3
O D. F(X) = 44 - x2
Answer:
It is C
Step-by-step explanation:
The equation of the function f(x) is C. f(x) = x⁴ - x² + 3.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given parent function is,
g(x) = x⁴ - x²
It is given that the function f(x) has the same shape as g(x).
f(x) is vertically translated.
From the graph, the points on f(x) is shifted 3 units to the up.
A function f(x) when undergoes vertical translation becomes f(x) ± k, where k is the units for which the translation occurs.
If the translation is done up to k units, function is f(x) + k.
f(x) = g(x) + 3 = x⁴ - x² + 3
Hence the function is f(x) = x⁴ - x² + 3.
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Question need help very hard pls
If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?
Answer:
$1101
Step-by-step explanation:
Given data
A= $1,172.60
R= 3.2 = 0.032
t= 2
The expression for compound interest is
A= P(1+r)^t
Substitute
1172.60=P(1+0.032)^2
1172.60=P(1.032)^2
1172.60=P1.065
Divide both sides by 1.065
1172.60/1.065= P
P=$1101
Hence the original amount is $1101
Pls help quick thank u
Answer:
i think it’s D
i hope i help you but if nop DO NOT FORGET STAY SAFE AT HOME
A sqaure window is 2 meters long on each side. To protect the window during a storm, Marisol plans to put a strip of duct tape along each diagonal of the window. To the nearest tenth of a meter, what is the toal length of duct tape Marisol will need.
Please give equation.
Answer:
5.7 meters
Step-by-step explanation:
Since the duct tape is to be placed along the diagonal of the square window, Considering the shape formed by one diagonal and two sides of the window. This shape is a right angle triangle.
The diagonal represents the hypotenuse while the sides are the opposite and adjacent. Using Pythagoras theorem, let the length of the diagonal be h
h^2 = 2^2 + 2^2
= 4 + 4
= 8
Taking the root of both sides
h = √8
= 2.828 meters
considering that the duct tape is needed for 2 diagonals, the total length required
= 2.828 * 2
= 5.656
To the nearest tenth of a meter, this becomes
= 5.7 meters
Janice got a raise in her hourly pay, from $9.75 to $11.50. Find the percent change. Round to the nearest tenth of a percent.
Answer:
trhe answer is 11.50 because it's closest to 10
Answer:
17.9%
Step-by-step explanation:
11.50-9.75=1.75
1.75/9.75=0.1794
Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?
Answer:
[tex]P(Pink) = \frac{1}{4}[/tex]
[tex]P(Both\ Black) = \frac{9}{16}[/tex]
[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black
Step-by-step explanation:
Represent the pink skin with P and the black skin with B.
Since black skin is dominant to pink skin, there will be more occurrence of B than P
The punnet square for the breeding of the two pigs is then represented as:
[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]
Solving (a): Probability of Pink
In the above square, there is only 1 occurrence of P out of a possible of 4.
So, the probability is:
[tex]P(Pink) = \frac{n(P)}{4}[/tex]
[tex]P(Pink) = \frac{1}{4}[/tex]
Solving (b): Probability that first and second are black
In the above square, there is only 3 occurrence of B out of a possible of 4.
[tex]P(Black) = \frac{n(B)}{4}[/tex]
[tex]P(Black) = \frac{3}{4}[/tex]
So, the probability that both are black is:
[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]
[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]
[tex]P(Both\ Black) = \frac{9}{16}[/tex]
Solving (c): Probability of two pink and 1 black
This is calculated as:
[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]
[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]
[tex]Probability = \frac{3}{64}[/tex]
A) The probability that their offspring will have pink skin is; ¹/₄
B) The probability that the first and second off- spring will have black skin is;
9/16 or 56.25%
C) The probability that two will be pink and one will be black If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%
Mendel's law of dominanceTo answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.
Now in this question, we are told that;
black skin colour is dominant to Pink skin colour in pigs.Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"
Now when the heterozygous pigs specified as "Pp" are crossed, we have;
Pp × Pp = PP, Pp, Pp, pp
where;
PP and Pp denotes black pigs is denoted pp denotes pink pigs
(a) From the 4 cross possibilities above;
Probability that their offspring will have pink skin = ¹/₄
(b) From the 4 cross possibilities gotten earlier;
Probability that their offspring will have black skin = ³/₄
Thus;
Probability that the first and second off- spring will have black skin is;
³/₄ × ³/₄ = 9/16 or 56.25%
(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;
P(2 pink and 1 black) = ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%
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help me pls i’ll give brainest if correct
The Answer Is:
3 and 10
Multiplication And Divisin Fact Families ,Will Mark Brainliest
Answer:
1) 56, 56, 56, -7
2) -1, -1, -1, -1
3) -7, 5, -35, -7
4) -4, -8, -4, -8
5) -21, -21, -21, -7
6) 10, -50, -5, -5
7) 48, 48, -4, 48
8) 6, -2, -2, -2
Step-by-step explanation:
Do I really have to explain? lol
Hope this helps.