4. Consider the right triangle below.
If the perimeter is 1,013 units, find the value of x and the area of the
triangle.
16x + 27
14x - 45
25x
The value of x is
The area is
square units.
Answers
Answer:
16x+27+14x-45+25x=1013 units
X= 18.75
Area= b × h × (1/2)
A= 1/2 × 327 × 217.5 = 35561.25 units^2
Answers:
x = 1031/55 = 18.74545 approximatelyarea = 35,542.92 square units approximately==============================================================
Explanation:
The perimeter is the sum of the exterior sides. We'll add up these three sides
16x+2714x-4525xand set the sum equal to the perimeter 1013
The equation we need to solve is
(16x+27)+(14x-45)+(25x) = 1013
Solving for x leads to...
(16x+27)+(14x-45)+(25x) = 1013
16x+27+14x-45+25x = 1013
(16x+14x+25x)+(27-45) = 1013
55x-18 = 1013
55x = 1013+18
55x = 1031
x = 1031/55
x = 18.74545 approximately
-----------------------------
Use this x value to find the length of each side. I'll use the decimal form of x. We get the following side lengths:
16x+27 = 16*(18.74545) + 27 = 326.927214x - 45 = 14*(18.74545) - 45 = 217.436325x = 25*(18.74545) = 468.63625Those values are approximate.
We can then find the area of the triangle
area = (1/2)*base*height
area = (1/2)*(326.9272)*(217.4363)
area = 35,542.92036868
area = 35,542.92
The area is approximate as well.
Related Questions
Solve for xxx.
Your answer must be simplified.
15 < -5 x
Answers
Answer:
x < - 3
Step-by-step explanation:
Given
15 < - 5x
Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity
- 3 > x , that is
x < - 3
The simplified expression is x < -3.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is 15 < -5x
⇒ [tex]15 < -5 x[/tex]
Divide both sides by -5,
⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]
When we divide an inequality with negative number, we need to change the sign,
⇒ [tex]-3 > x[/tex]
⇒ [tex]x < -3[/tex]
Hence we can conclude that the simplified expression is x < -3.
Learn more about inequalities here
https://brainly.com/question/22406619
#SPJ2
If the blue radius below is perpendicular to the chord , which is 14 units long, what is the length of the segment ?
Answers
Answer:
The answer is 7 bc 7 is half of 14
Step-by-step explanation:
Felix said quadrilateral ABCD is a parallelogram because
BE = DE. What was his error?
Answers
Answer:
There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.
Step-by-step explanation:
To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.
Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"
Find the slope of the line that passes through these two points: (-3, -7) and (5, -5) -4 -1/4 1/4 4
Answers
Answer:
It will be 1/4
Step-by-step explanation:
Hope this helped
find the intercept of the line please help
Answers
Answer:
x-intercept: -5/2
y-intercept: 15/4
Step-by-step explanation:
to find x-intercept set y = 0
-6x + 4(0) = 15
-6x = 15
x = -15/6
x = -5/2
to find y-intercept set x = 0
-6(0) + 4y = 15
4y = 15
y = 15/4
Answer:
y-intercept is -2.5 and x-intercept is 3.75
Step-by-step explanation:
I posted a photo on how I got this
Hope this helped
Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]
Write your answer in simplest radical form, units
Answers
Answer:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.
Step-by-step explanation: I just had this problem on ixl and it gave me the answer
What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02
Answers
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(-4-(-2))
m=-4/(-4+2)=-4/-2=2
if sin theta = cos theta,theta is an acute angle then tan theta=?
please answer within one hour
I will mark u brainliest
Answers
when cos θ = 0
θ = π/2
sin θ
-------- = 1 , θ≠ π/2
cos θ
tan θ = 1
θ = arctan (1)
θ = π/4
Answer:
hope it helped have a good day mate
What is the GCF of 45x^5
and
36x^9
Answers
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
(9r^2+4r-7)+(3r^2-3r)
Answers
Answer:
12r2+r−7
Step-by-step explanation:
hope it helped
Use distributive property to rewrite each algebraic expression: 8(s + 5)
Answers
Answer:
8s + 40
Step-by-step explanation:
8*s = 8s
8*s = 40
8s + 40
Answer: The correct answer is 8s+40
Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.
What is the difference?
5X
X-2
x + 4
2x
9x2 + 2x + 8
2 x(x - 2)
7x²+8
2 x(x - 2)
9x2–2x+8
2 x(x-2)
7x²-8
2X(x-2)
Answers
Answer:
Are these the option or what what this suppose to be ??????
Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest
Answers
A: 5x²+3xy +2y B: 2y²-xy +4x²
С: 12xy+4x²-3y. then :- 1) А-В-С , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest
Answers
Answer:
-3x² -2y² -8xy +5y
34x² + 51xy - 8y + 6y²
7x² - 11xy +12y - 8y²
Step-by-step explanation:
Given:
A: 5x²+3xy +2y
B: 2y²-xy +4x²
С: 12xy+4x²-3y
Find:
1) А-В-С
2) 2A+3B+4C
3) 3A-4B--2C
Computation:
1) А-В-С
5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]
5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y
-3x² -2y² -8xy +5y
2) 2A+3B+4C
2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]
10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y
34x² + 51xy - 8y + 6y²
3) 3A-4B-2C
3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]
15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y
7x² - 11xy +12y - 8y²
Which graph represents an exponential function?
Answers
Answer:
second which would be c for edg
Step-by-step explanation:
What is the x-value of the solution to the system of equations?
5x + 4y =8
2x -3y = 17
-3
O -2
O 4
O5
Answers
Answer:
-234
Step-by-step explanation:
5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234
Suppose f(x) = x^3 + 1. Find the graph of
f(2x).
Answers
Step-by-step explanation:
I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.
Answer:
Mga madlang pipol. The answer is graph 2
Round The Following Number: 194,332.125
Answers
explanation
choose the two number sentences that are true a.5+7=11+2 b.3+8=20-9 c. 5+9=19-4 d.12+7=5+14 e.18-6=15-2
Answers
Answer:
B) 3+8=20-9 & D) 12+7=5+14
Step-by-step explanation:
3 + 8 = 11, 20 - 9 = 11
12 + 7 = 19, 5 + 14 = 19 :)
Can you help me please
Answers
Answer:
D?
Step-by-step explanation:
if i got it wrong im truly sorry
help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!
Answers
Answer: It's the top left because the line passes through 10 on the y axis.
Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2
Answers
9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
2x−3y=3x=y+2The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
Amelia bought 40 plain black T-shirts for $4 each.She painted designs on them and then sold each T-shirt for 7.50.How much profit did Amelia make selling her fancy T-shirts?
Answers
I hope this helpfull dor you...But if this not helpfull,im so sorry...
Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2
Answers
Answer:
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
Step-by-step explanation:
Given
Options A to D
Required
Determine which is true
Option A:
[tex]-\frac{38.44}{6.2} = 6.2[/tex]
[tex]-6.2 = 6.2[/tex]
This is not true
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
[tex]-6.2 = -6.2[/tex]
This is true
There is no need to check further
please help mee
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answers
Answer:
9x+15, and I used the distributive property
Step-by-step explanation:
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
please help! thank u!
Answers
Step-by-step explanation:
I cannot see the correct value so u check yourself. but this is the correct graph.
A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.
1. What is the unit rate of cream cheese for sugar?
2. what is the unit rate of sugar for cream cheese?
(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)
Answers
Answer:
the unit rate of cream cheese for sugar is .8
the unit rate of sugar for cream cheese is 1.25
Step-by-step explanation:
I hope this is correct / helps! :)
how much is 28 yards in feet
Answers
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
HAVE A GOOD DAY!
Brainliest????
Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?
Answers
Answer:
195.65
Step-by-step explanation:
Answer:
100%-29% = 71%
568/0.71 = 800
price was $800
Step-by-step explanation:
If I'm wrong I'm sorry
If I'm right Thank you and (Brainliest plz )
Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan
Answers
Answer:
288,40 $
Step-by-step explanation:
25,80$ / month * 48 months = 1238,40$ total payment.
1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.
