Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?
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.
Learn more about Area of the triangle here
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Need help don’t know what to do I’m confused
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
what is the equation for the line shown? picture attached.
What would this be??????
Answer:
I think it's the second one(200(1.034)t = 250)
Step-by-step explanation:
if not correct me. or try the third one.
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
Please help, I will give brainliest, I am struggling badly.
Answer: y = 5/2x - 4
Step-by-step explanation:
the equation is y = ax + b (a ≠ 0)
because the slope of the line is 5/2 => a = 5/2
the line passes through (0; -4) => -4 = b
=> the equation is y = 5/2.x - 4
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answer:
the proportion of workers from company B who purchsed coffee was pˆC=0.75
Step-by-step explanation:
Answer: pˆC=0.75
Step-by-step explanation:
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Answer:
$16
Step-by-step explanation:
[tex]0.75x = 12\\3x = 48\\x = 16[/tex]
What is the perimeter
Answer:
-2x + 3
Step-by-step explanation:
Perimeter means to add all the sides of the triangle. Simply combine like terms:
(3x) + (2x - 5) + (-7x + 8)
(3x + 2x - 7x) + (-5 + 8)
(5x - 7x) + (8 - 5)
-2x + 3
-2x + 3 is your answer.
~
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Please help, will make brainliest
Answer/Step-by-step explanation:
1. Sin A = opp/hyp
Opp = 3
Hyp = 5
[tex] sin(A) = \frac{3}{5} [/tex] (substitution)
[tex] sin(A) = 0.6 [/tex]
2. Sin B = opp/hyp
Opp = 4
Hyp = 5
[tex] sin(B) = \frac{4}{5} [/tex] (substitution)
[tex] sin(B) = 0.8 [/tex]
3. Cos Q = adjacent/hypotenuse
Adjacent = 12
Hypotenuse = 13
[tex] cos(Q) = \frac{12}{13} [/tex] (substitution)
[tex] cos(Q) = 0.9231 [/tex] (4 decimal places)
4. Cos S = adjacent/hypotenuse
Adjacent = 5
Hypotenuse = 13
[tex] cos(S) = \frac{5}{13} [/tex] (substitution)
[tex] cos(S) = 0.3846 [/tex] (4 decimal places)
Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)
Answer:
Step-by-step explanation:
-5.25+2.25 - 3
1-0.5 = 0.5
=-6 =m
y=-6x
PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?
A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second
last question:) thanks guys
Answer:
5/12
Step-by-step explanation:
Probability of getting either heads or tails of a coin : 1/2
Probability of getting 1,2,3,4, or 6 on a dice: 5/6
Multiply those two probabilities : 1/2 * 5/6 = 5/12
You have a 5 out of 12 chances of getting heads on a coin AND any number but a 5 on a dice.
Hope this helps!
what is 3 over 40 written as a decimal ?
Answer:
0.075
Step-by-step explanation:
3/40 = 0.075
hope it help u
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Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
Evaluate:
65−15÷5 +(−19)
Answer:
43
Step-by-step explanation:
65-15/5+(-19)
65-3+(-19)
62-19=43
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.Which expression represents the area of the court?
Answer:
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Step-by-step explanation:
Area of a rectangle:
A rectangle has length l and width w. The area of a rectangle is:
[tex]A = lw[/tex]
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.
This means that [tex]l = 8x - 2, w = 3x - 3[/tex]
Which expression represents the area of the court?
The tennis court is rectangular, so
[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?
Given:
The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]
Length of the rectangle RSTU = [tex]4x+5[/tex]
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
[tex]36x^2+25x-25[/tex]
Splitting the middle term, we get
[tex]=36x^2+45x-20x-25[/tex]
[tex]=9x(4x+5)-5(4x+5)[/tex]
[tex]=(4x+5)(9x-5)[/tex]
We know that, the area of a rectangle is
[tex]Area=Length \times width[/tex]
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
What is ( 2 ⅓ * x ) + x?
Answer:
10x/3
Step-by-step explanation:
10x/3.............................
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
(a) What is wrong with the following equation? x2 + x − 42 x − 6 = x + 7 (x − 6)(x + 7) ≠ x2 + x − 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 6, but the right-hand side is. None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 6 x2 + x − 42 x − 6 = lim x → 6 (x + 7) is correct. Since x2 + x − 42 x − 6 and x + 7 are both continuous, the equation follows. Since the equation holds for all x ≠ 6, it follows that both sides of the equation approach the same limit as x → 6. This equation follows from the fact that the equation in part (a) is correct. None of these — the equation is not correct.
Answer:
Attached please find answer
Step-by-step explanation:
= (x² + x - 42) / (x - 6)
= [x² + (7x - 6x) - 42] / (x - 6)
= [x² + 7x - 6x - 42] / (x - 6)
= [(x² + 7x) - (6x + 42)] / (x - 6)
= [x(x + 7) - 6(x + 7)] / (x - 6)
= [(x + 7)(x - 6)] / (x - 6)
= x + 7 → when x approches 6
= 6 + 7
= 13
Other method:
Lim (x² + x - 42) / (x - 6)
x→ 6
When x → 6, there is an indeterminate expression because: 6 - 6 = 0
Do you know the l'Hôpital's rule, when x → a:
Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]
f(x) = x² + x - 42
f'(x) = 2x + 1
g(x) = x - 6
g'(x) = 1
= f'(x) / g'(x)
= (2x + 1)/1
= 2x + 1 → when x approches 6
= 12 + 1
= 13
Can someone please help me Im so stressed out .
Answer:
38 students chose to fly
Step-by-step explanation:
add the female and male
What is the simplified form of (-3xy)(5xy-1)?
Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
I need help, it’s geometry:
Answer: The area is 5x + 20
Step-by-step explanation:
Add all the numbers up.
7 + 4x - 8 = 3
13 + (x + 8) = (x + 21)
Therefore, your answer is 5x + 20
Let me know if you have any questions!
Brandon is 5 years older than his brother Hermie. There combined age is 23. How old is Brandon?
Find Brandon's age using the following equation:
2 + (x + 5) = 23
A
9
14
15
Answer:
9
Step-by-step explanation:
9 +5 = 14
14 +9 = 23
Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
