Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
A) 8.4 square units
B) 20.5 square units
C) 41 square units
D) 60.5 square units
Answers
Answer:
B. 20.5 square unitsStep-by-step explanation:
Area of a triangle = 1/2 * Base * Height
For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.
Using the formula for finding the distance between two points to get the base and the height of the triangle.
D = √(x2-x1)²+(y2-y1)²
For side AB where A = (-3, -4) and B(2, 0)
AB = √(2-(-3))²+(0-(-4))²
AB = √5²+4²
AB = √25+16
AB = √41
AB = Height
For side BC where B = (2, 0) and C = (6, -5)
√(x2-x1)²+(y2-y1)²
BC = √6-2)²+(-5-0)²
BC= √4²+(-5)²
BC = √16+25
BC= √41
BC = base of the triangle
Area of the triangle = 1/2 * √41 * √41
Area of the triangle = 1/2 * 41
Area of the triangle =20.5square units
Related Questions
John and David have a rectangular piece of property. The length is 8 more miles than the width, the perimeter is 60. What are the possible dimensions?
Answers
Answer:
Length: 19
Width: 11
Step-by-step explanation:
19 miles is 8 miles longer than 11 miles.
With these dimensions, the perimeter is equal to 60 miles.
Which set includes all of the integers?
{1,2,3,4,5...)
{...-3.-2, -1.0, 1, 2, 3,...)
{0, 1, 2, 3, 4, 5,...)
Answers
Answer:
its {0,1,2,3,4,5......}
Step-by-step explanation:
Answer:
whoops wrong question srry
Step-by-step explanation:
1. If you deposit $9200 into an account paying 7% annual interest
compounded quarterly, how much money will be in the account after 10 years? a
A) $20,123.85
B) $ 8,549.75
C) $18,414.70
D) $10,487.20
Answers
Answer:
C) $18,414.70
Step-by-step explanation:
[tex]A = 9,200 (1 +\frac{0.07}{4}) ^{4 x 10}[/tex]
= $18, 414.70
I will give you brainliest if you answer pleaseee
Answers
Answer: The area of the banner is 100 in^2
Step-by-step explanation:
so let say the banner was still a rectangle with the triangle still attached to it so if we needed to find the area of the whole rectangle we will need to multiply the length times the width
so 14 * 8 = 112
But now a triangle is being cut out of the rectangle so we need to find the area of the triangle being cut out and subtract it from the area of the whole rectangle. But first we need to find the base and the base is 8 since the other side base is 8 too and the height will be 3 since 14- 11= 3
Now find the area of the triangle by multiplying the base times the height and divide it by 2.
8 * 3= 24
24/2= 12
subtract 12 from 112
112- 12 = 100
I need help on this question who can help
Answers
Answer:
4
Step-by-step explanation:
♣
Lines r and a are parrallel.if m<2=110,what is m<7?
Answers
Answer:
m< 7 = 70
Step-by-step explanation
m< 2 + m< 1 = 180
180 - 110 = 70
m< 1 = 70
because the lines are parallel m< 1 = m< 7
so m< 7 = 70
What is a like radical to cube root 54 after simplifying
Answers
Answer:
3√128
Step-by-step explanation:
percentage increase from 14 to 40
Answers
Answer:
185.714% increase
Step-by-step explanation:
To find the percentage increase, take the new amount and subtract the original amount
40-14 = 26
Divide by the original amount
26/14
1.857142857
Multiply by 100% to change to percent form
185.714%
Answer:
185.714%
Step-by-step explanation:
Heyguys can soeom plzz help meee?? IDK how to do this!! 20 Points? plz write all details of the problem plzz!
Math problem: An airplane traveled 5.7 x 102 miles per hour for 1.4 x 101 hours. How far did the airplane travel?
Answers
Answer:
The distance travelled is 7.98×10³ miles.
Step-by-step explanation:
Given that the formula to find distance is Distance = Speed×Time. Then you have substitute the values into the formula :
[tex]distance = speed \times time[/tex]
Let speed = 5.7×10²,
Let time = 1.4×10¹,
[tex]d = (5.7 \times {10}^{2} ) \times (1.4 \times 10)[/tex]
[tex]d = (5.7 \times 1.4) \times ( {10}^{2} \times 10)[/tex]
[tex]d = 7.98 \times {10}^{3} miles[/tex]
Determine if a linear, exponential, or quadratic function is the best model for the data given in the table below.
Answers
Answer:
linear
Step-by-step explanation:
yes it is linear since I did this question and got it right
The volume of a cylinder is 576Pi cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?
Recall the formula V = pi r squared h.
18 inches
24 inches
36 inches
72 inches
Answers
Answer:
The height of the cylinder is 36 inches
Step-by-step explanation:
Given, The volume of a cylinder is 576[tex]\pi[/tex] cubic inches and the radius is 4 inches.
[tex]\pi[/tex] = 3.14
Formula for voulme of cylinder is V = [tex]\pi[/tex] * r^2 * h
Substitute the given values in the above formula to find the unknown value.
V = 3.14 * 4^2 * h
576[tex]\pi[/tex] = 3.14 * 4^2 * h
1,808.64 = 3.14 * 16 * h
1,808.64 = 50.24 * h
1,808.64 / 50.24 = h
36 = h
h = 36 inches
The final answer is 36 inches.
Therefore the height of the cylinder is 36 inches.
To solve more questions or To get to know more about the cylinder problems:
https://brainly.com/question/16577039
Which is NOT true regarding the hypotenuse? *
O It is the longest side of the right triangle
It helps form the right angle.
It is across from the right angle
Answers
Answer:
It helps form the right angle.
Step-by-step explanation:
The hypotenuse is across from the right angle formed by the shorter sides.
Answer:
B: It helps form the right angle.
Step-by-step explanation:
You roll a fair number die. Find the probability of the number die
landing on a number greater than 4.
Answers
Answer:
1/3
Step-by-step explanation:
2/6 which is 1/3
5 and 6 is greater than 4
√(25 - 10 √(3) + 3)
(not as a decimal)
Answers
Answer:
[tex]\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}[/tex]
Step-by-step explanation:
[tex]\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}[/tex]
33 - [2 · (3 – 7)]
Your answer
Answers
Answer:
41
Step-by-step explanation:
33 - [2 · (3 – 7)]
PEMDAS
Work parentheses inside out
33 - [2 · -4]
33 - (-8)
Subtracting a negative is adding
33+8
41
An aircraft carrier left Port 35 traveling north five hours before a container ship. The container ship traveled in the opposite direction going 8 km/h faster than the aircraft carrier for seven hours after which time the ships were 303 km apart. What was the aircraft carrier's speed ?
Answers
Answer:
Aircraft carrier speed = 4.97 km/h
Step-by-step explanation:
Given that the time taken by the aircraft = 5 hours
Let the distance covered = X
Speed = V
Time taken by the ship = 7 hours
Let the distance covered = Y
Speed = 8V
Since it is 8 km/h faster than the aircraft carrier.
Using the speed formula
Speed = distance/time
Distance = speed × time
For the aircraft;
X = 5V
For the ship:
Y = 7 × 8V = 56V
Since they are 303km distance apart,
X + Y = 303
5V + 56V = 303
61V = 303
V = 303/61
V = 4.97 km/h
Aircraft carrier speed = 4.97 km/h
A single candy is picked
randomly from a bag
containing 5 red, 4 Green, and
3 blue. Give the probability of
picking a candy that is not blue.
Answers
Answer:
9/12 or 3/4 (it's the same)
Step-by-step explanation:
You have to guve the probabiloty of picking a candy that is not blue, so you have to do:
5 red + 4 green = 9
total = 5 + 4 + 3 = 12
9/12 is equal to 3/4
Step-by-step explanation: the answer is3/12
it is 3/12 because if you add 5+4+3 you will get 12 so out of that 12 which are blue which is 3 so it would be three
if it is wrong sorry but if it right hope its was correct :)
Please help answer this asap!
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?
1/4x - 1/6y = 5
4/5x + 3/8y = 10
1. 18 times the first equation and 8 times the second equation
2. –18 times the first equation and 8 times the second equation
3. 8 times the first equation and 6 times the second equation
4. –8 times the first equation and 6 times the second equation
Answers
Answer:
try answer 3 its been a minute hun but im pretty sure its 3. im sorry if the answer is wrong.
Step-by-step explanation:
What type of correlation is shown in the graph?
A) Positive
B) negative
C) no correlation
Answers
Answer:
No correlation
Step-by-step explanation:
This is because they are all spread out and aren't all consistently going up or down.
Answer:
C
Step-by-step explanation:
The circle below is centered at (3, 1) and has a radius of 2. What is its
equation?
O A. (x-3)2 + (y - 1)2 = 4
O B. (x-1)2 + (x-3)2 = 2
O c. (x - 1)2 + (y - 3)2 = 4
O D. (x-3)2 + (x-1)2 = 2
Answers
Answer:
A
Step-by-step explanation:
Answer: D
Step-by-step explanation:
When filled,a particular round balloon has a diameter of 14 inches.What is the approximate volume of air needed to fill this balloon
Answers
Answer:
Hi the answer you are looking for is 1436.76.
Hope this helps! Study on!
Step-by-step explanation:
Evaluate 3|-3|
if you could do it step by step I’d appreciate
Answers
Answer:
9
Step-by-step explanation:
the absolute value of -3 is 3
so; 3*|-3| =3*3 =9
help please with easy geometry
Which type of line symmetry does the figure have?
vertical
horizontal
diagonal
none of the above
Answers
Answer:
Vertical line of symmetry
what is the maximum volume of water a hamster bath could hold with a depth of 1 2/3 inches, a length of 2/13 inches and a width of 2 inches
Answers
Answer:
I'm glad you asked.
Step-by-step explanation:
The max volume would be 70/9 or 7 7/9.
Robert wants to put lights around the edge of his deck.the deck is 46 feet long and 29feet wide .how many yards of lights does he needs.
Answers
Answer:
1334feet
Step-by-step explanation:
46x29
PLEASE ANSWER Question is in Attachment
Will mark brainliest
Answers
Answer: x=3
Step-by-step explanation: Please mark as brainliest
5x+34+8x+15=88
step by step
Let's solve your equation step-by-step.
5x+34+8x+15=88
Step 1: Simplify both sides of the equation.
5x+34+8x+15=88
(5x+8x)+(34+15)=88(Combine Like Terms)
13x+49=88
13x+49=88
Step 2: Subtract 49 from both sides.
13x+49−49=88−49
13x=39
Step 3: Divide both sides by 13.
13x
13
=
39
13
A classroom has 14 blue chairs, 5 green chairs and 11 red chairs. If a chair is selected from the classroom at random, which color is most likely to be choses?
Answers
Answer:
Blue, and with a 7/15 chance
Step-by-step explanation:
14+5+11=14+16=30
b=14/30=7/15
r=11/30
g=5/30=1/6
Please mark as Brainliest! :)
Have a nice day.
Which measurement would not be used to calculate the area of this triangle?
16 cm
12 cm
24 cm
1.
12 cm
2.
16 cm
3.
24 cm
pls someone help this is due in 10 minutes and i have a lot more to do
Answers
Answer:
Im not sure but i think 2 is the answer
Step-by-step explanation:
Please help me with this question i am struggling
Answers
Answer:
x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38
Step-by-step explanation:
Jaylen rents bowling shoes for $6 and pays $5 per bowling game. Is the relationship a proportional relationship? Explain
Answers
Answer:
yes
Step-by-step explanation:
the easy explanation is that the graph is straight so it means its proportional. the more detailed one is that you don't care about those 6$, cause its only says to you where the graph starts from (if you'll see it isn't from 0 there its from 6). you do care about the 5$ detail. and they say its for every game which is the definition of proportional (for every *blank amount of x* youll need *blank amount of y* ) you can see that after 1 game youll pay 5$ and then 10$ and so on....