The vertices of triangle PQR are given in the standard (x,y) coordinate plane below. What is the area, in the square coordinate units, of triangle PQR?
Answers
Answer:
Area = 12
Step-by-step explanation:
Given
See attachment
Required
Area of [tex]\triangle PQR[/tex]
From the attached image, we have:
[tex]P = (6,10)[/tex]
[tex]Q = (10,8)[/tex]
[tex]R = (6,4)[/tex]
The area is then calculated as:
[tex]A = \frac{1}{2}|(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y1 - x1y3)|[/tex]
So, we have:
[tex]A = \frac{1}{2}|(6*8 - 10*10) + (10*4 - 6*8) + (6*10 - 6*4)|[/tex]
Using a calculator:
[tex]A = \frac{1}{2}|-24|[/tex]
Remove absolute bracket
[tex]A = \frac{1}{2} * 24[/tex]
[tex]A = 12[/tex]
Related Questions
please help...which of the following is an arithmetic sequence?
Answers
Answer:
I would say its 0,2,4,6,....
Answer:
0,2,4,6....
Step-by-step explanation:
Since only they have the common difference between them, they are in the arithmetic sequence
Hope it helps you
Please mark as the brainliest
Thank You
Select the equation of the line parallel to y= -3x -5 the equation and that passes through the point (1,2)
Answers
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (b)Parallel lines always have the slope slopes and different y-intercepts1) Determine the slope (m)
[tex]y= -3x -5[/tex]
With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,2) and isolate b
[tex]2=-3(1)+b\\2=-3+b[/tex]
Add 3 to both sides
[tex]2+3=-3+b+3\\5=b[/tex]
Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+5[/tex]
I hope this helps!
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.
Answers
Answer:
60 ft long bc that would leave 10ft on each side of the banner...Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Answer:
Solution given:
length [l]=breadth [b]=40ft
Now
length of concession banner[h]=?
we have
perpendicular [p]=base[B]=40ft
by using Pythagoras law
h²=p²+b²
h²=40²+40²
h=√3200
h=40√2
So
the length of the concession stand to determine if the school banner can fit across the length of the concession stand is 40√2 ft or 56.57ft
) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank
Answers
Answer:
big spoon
Step-by-step explanation:
The Big spoon liquid volume is best measured in milliliters.
Given that;
The objects are,
''Bathtub, Milk carton, big spoon or small fish tank''.
We have to find the best objects liquid volume to measured in milliliters.
How to find the appropriate unit for measurement?
Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.
And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.
Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.
Hence, We use milliliters for measuring liquid in big spoon.
Learn more about the volume visit:
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Please Help!!!!!!
20 points.
Find the length of DE
Answers
Answer:
Yes
Step-by-step explanation:
A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool
Answers
Answer:
850m³
Step-by-step explanation:
Volume is length X width X height.
So, 25 x 17 x 2 = 850 meters cubed
Find the derivative of f(x) = -5 divided by x at x = 11. (5 points)
Answers
AThe chosen topic is not meant for use with this type of problem. Try the examples below.
f (x) = 7x − 2, x = 6
f (x) = 3x − 2, x = 9
f (x) = x^2, x = 12
Answer:
I believe it is 2.2
Step-by-step explanation:
5 goes into 11. 2 times. 2times5= 10 and 11-10=1- 5 goes into 10 2 times- 2 times 5=10; 10-10=0. Therefore it would be 2.2. Hope this helps you. :)
hello pls help me. khan academy sucks
Answers
Answer:
straight angle
i think straight angle is right answer
expand and simplify (3x+4)(2x+3)
Answers
Answer:
answer is 6x^2+17x+12
Step-by-step explanation:
3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12
Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200
Answers
Answer:
680 sales
Step-by-step explanation:
20% of 680 is 136.
So her 64 for a week plus the 136 from sales is 200.
Hope this helps
Brainliest would be appreciated
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.
Answers
Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
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hghgh heres another, i'll upload two more questions so that way im not nagging anyone to help me out^^
Answers
A slightly more accurate value is 38.28 cm^2, when using pi = 3.14
=================================================
Explanation:
The vertical height of the rectangle is 4 cm, which forms the diameter of the semicircle. The diameter cuts in half to 4/2 = 2, which is the radius.
The area of a full circle with radius r = 2 cm is approximately pi*r^2 = 3.14*2^2 = 12.56 square cm.
Cut that in half to get (12.56)/2 = 6.28 square cm. This is the approximate area of the semicircle.
--------
The area of the rectangle is length*width = 6*4 = 24 square cm.
The triangle has its bottom portion of 4 cm (because 10-6 = 4) and its height is 4 cm, so we get the triangle area of base*height/2 = 4*4/2 = 8 square cm.
The last thing we do is add up all the results we got:
6.28 + 24 + 8 = 38.28
That rounds to 38 square cm when rounding to the nearest whole number.
Find the missing side or angle.
Round to the nearest tenth.
A=15°
C= 120°
b=3
c=[? ]
Answers
Answer:
3.7
Step-by-step explanation:
Acellus
What is one-half the sum of 142 and 8
Answers
Answer:
142+8=150
150/2=75
What is the slope of the line that passes through the line
containing (-6, 1) and (4, 8)?
Answers
I hope it helps :)
find the area of the irregular figure. PLEASE!!
The sides are: 3 in, 4 in, 4 in, 5 in, 7 in, 9 in
geometry
Answers
Answer:
A = [84]in^2
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 16
9 + 4 = 13 x 4 = 52
52 + 15 + 16 = 84in
A man sold two computers for Rs 24000 each on one ne
gained 20% and on the other he lost 20%. find his gain oras
percentage of his whole transaction
Answers
PLEASE HELP! In a film study, a sample of 300 movies was found to have an average runtime of 116 minutes with a standard deviation of 15 minutes. What is the margin of error for any sample of movie runtimes with 90% confidence (z=1.64)?
Answers
Answer:
The answer is 1.42!!!!!!
Step-by-step explanation:
Malik is making a scale drawing for his architecture class he is using the scale 1in =8ft if the building in the drawing is 9 inches how tall will the actual building be
Answers
Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answers
Answer:
I dont know
Step-by-step explanation:
I really dont’ sorry
determine whether the sequence is geometric. if so, find the common ratio. -3125, 625, -125, 25,....
Answers
I NEED IT FAST
Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
(121²
312
4+²
Answers
Answer:
r little 4 t little 2 ------------------------ 4sorry it didn't let me right it correctlyStep-by-step explanation:
A line passes through points (-3,5) and (2,-10) which equation represents the line
Answers
Answer:
y=-3x-4
for the line that passes through the points
The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open
Answers
Answer:
30-2t^2+16t/t
Step-by-step explanation:
Find the Surface Area of the figure. *
1 point
Answers
Step-by-step explanation:
A=2πrh+2πr^2
=2×22/7×3×6+2×22/7×3^2
=113.14+56.57
=169.71 m^2
Step-by-step explanation:
r = 3 cm
h = 6 cm
S. Area = 2πr² + h(2πr)= 2 × 3.14 × 3² + 6 (2 × 3.14 × 3)
= 56.52 + 113.04
= 169.56 cm²
#CMIIWHow do I solve this problem?
Answers
Answer:
21, 18, 15
Step-by-step explanation:
First term = a1
Second term = a2
Third term = a3
a1 = 21
a2
= a + d
= 21 - 3
= 18
a3
= a + 2d
= 21 + 2 ( - 3 )
= 21 - 6
= 15
The first 3 terms are 21, 18, 15.
How do I solve this problem?
Answers
Step-by-step explanation:
Note 12 is the difference between the numbers..
hope it helps
which of the following statements best describes the association
Answers
Answer:
C
Step-by-step explanation:
For one, it's negative so all positive answers can be eliminated.
Secondly, the y axis is hit on positive 3. No point even hits negative 3.
Knowing that, the only choice left is C.
What is the slope of a line that
crosses through the points (-1,-8)
and (2, 1)?
Answers
Answer:There's the answer
Just open it
Step-by-step explanation:
Which number is the c losest approximation of v39?
o 6.2
o 6.5
o 7.5
o 7.7
Answers
Answer:
6.2 would be ur awnser ( mark as best awnser