MATHEMATICAL CONNECTIONS Find the dimensions of the polygon with the given area.
Area = 35 m2
(g - 11) m
(g - 8) m
Answers
Answer:
area of triangle =1/2×perpendicular×base
35m²×2=(g-11)(g-8)
70=g(g-8)-11(g-8)
70=g²-8g-11g+88
70=g²-19g+88
0=g²-19g+88-70
0=g²-19g+18
g²-18g-g+18=0
g(g-18)-1(g-18)=0
(g-18)(g-1)=0
either
g=18
or
g=1
Step-by-step explanation:
base=18-8=10m
perpendicular=18-11=7m
The dimensions of the polygon in the shape of right angle triangle is 10 m by 7 m.
What is the area of a right angle triangle?The area of the right angle triangle is the space occupied by it on the two-dimensional plane.
The area of the right angle triangle is half of the product of base and height.
[tex]A=\dfrac{1}{2}bh[/tex]
Here, (b) is the base of the triangle and (h) is the height.
The area of the polygon is 35 m². The height of the triangle is (g - 11) m and base is (g - 8) m. Thus, using the above formula,
[tex]A=\dfrac{1}{2}bh\\35=\dfrac{1}{2}(g-11)(g-8)\\70=g^2-8g-11g+88\\0=g^2-19g+18\\[/tex]
On factorizing above equation,
[tex]0=(g-18)(g-1)\\g=18,1[/tex]
Taking the bigger root, the height of the polygon is,
[tex]h=g-11)\\h=18-11\\h=7\rm\;m[/tex]
The base of the polygon is,
[tex]b=(g-8)\\b=18-8\\b=10\rm\;m[/tex]
Hence, the dimensions of the polygon in the shape of right angle triangle is 10 m by 7 m.
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Related Questions
David deposits $4,300 in an account that pays 5% annual simple interest for 7 years. How much interest is earned?
Answers
Answer:
4300 x 5/100 = 215
215 x 7 = 1 505
4300 + 1505 = 5 805
why is no one helping me...i want a good grade but I need someone who is good with slope and is smarter than a 8th grader BUT NO no one wants to help me
Answers
Answer: what is the question
Step-by-step explanation:
9+7x=4x-9 Solve for X.. Help?
Answers
Answer:
-6 srr if you get it wrong
Step-by-step explanation:
9 + 7x = 4x - 9
7x - 4x = - 9 + (- 9)
3x = -18
x = -6
Can someone help me?!!!
Only C and D plz!!!!! Lots of points!! If you can’t read let me know!!!!
Answers
Answer:
d I do believe
Step-by-step explanation:
can you help me with my question In the following passage from "The Story of an Hour," what type of conflict does Mrs. Mallard describe? Sec. 10: There would be no powerful will bending hers in that blind persistence with which men and women believe they have a right to impose a private will upon a fellow-creature. A. man vs. nature B. man vs. soll C. man vs. society
Express as a sum:
15-7
Answers
Answer:
uhm 15-7= 8
Step-by-step explanation:
hope that's what you were asking
Answer:
15 + (-7) = 8
Step-by-step explanation:
WAIT. I got this, this time... 15 + (-7) = 8
60 degrees 30 degrees 72 degrees 46 83 97 215 457
Answers
I am stuck and getting a head ache please help
Answers
Answer:
DF=20
Step-by-step explanation:
[tex]\frac{9}{12}[/tex]=[tex]\frac{15}{DF}[/tex]
Use cross Multiplication
9DF=180
Divide 180 by 9
DF=20
Hope this helps! :)
18) PB = 8. Find PA.
Answers
PA = 8
Good luck!
A circle has a dimeter of 10.2 inches. Which measurement is closest to the circumference of the circle in inches?
A. 82 in.
B. 32 in.
C. 327 in.
D 16 in.
Answers
The circumference of the circle is 32 inches. The correct option is B.
What is circumference?The circumference is the length of the line by which the circle is made. The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the outer trace.
Given that a circle has a diameter of 10.2 inches. The radius of the circle is 5.1 inches.
The circumference of the circle is calculated by the formula,
C = 2πr
C = 2 x π x 5.1
C = 32 inches
The value circumference of the circle is 32 inches.
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PLEASE ANSWER QUICKLY AND CORRECTLY ‼️
For which intervals below is the average rate of change of m(x) = -5x3 less than -25?
Interval A only
Interval C only
Intervals A and B only
Intervals B and C only
Answers
The number of cavities you will develop in a year varies inversely with the total number of minutes spent brushing your teeth. If Jim Bo Smith only brushes his teeth for half a minute and developed 4 cavities in the year, how many cavities will he get if he brushes his teeth for 2 minutes each time?
Answers
Answer:
The answer is 1
Step-by-step explanation:
.......... .......... .......... .......... .......... .......... ...........
Answers
Answer:
speed or position
Step-by-step explanation:
.......... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ..................... .......... .......... .......... .......... .......... ...........
Answer:
speed, can i please get brainliest
pppppllleeeeeeaaaaasssseeeeeee
Step-by-step explanation:
Will mark BRAINLIEST! Show work
Answers
Answer:
15%
Step-by-step explanation:
1. Subtract final value from starting value
65 - 55.25 = 9.75
2. Divide 9.75 by original number
9.75/65 = 0.15
3. Multiply quotient by 100 to get percentage
0.15 x 100 = 15%
In an endurance race, Alyson rode her bicycle 7 miles less than Jeff. Together they rode 39 miles. How far did Alyson ride?
Answers
Answer:
Distance cover by Alyson = 16 miles
Step-by-step explanation:
Given:
Distance cover together = 39 miles
Assume;
Distance cover by Jeff = a
Distance cover by Alyson = a - 7
Find:
Distance cover by Alyson
Computation:
a + (a - 7) = 39
2a - 7 = 39
2a = 46
a = 23
Distance cover by Alyson = a - 7
Distance cover by Alyson = 23 - 7
Distance cover by Alyson = 16 miles
what is the LCM of 5 and 7
Answers
Answer:
35
Step-by-step explanation:
Answer:
the answer is 35.
Step-by-step explanation:
At a school bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece got ⅙ of a pie. Each slice sold for $2. The were sold out. How much money did the kids make if there were 11 pies sold? B. How many slices were sold?
Answers
Answer:
They made 132$, and 66 slices were sold.
Step-by-step explanation:
If all of the pies were cut into six pieces, and each piece costed $2, then you can multiply 6 x 2 to determine how much each pie cost. ($12)
If each pie costed $12 and there were 11 pies sold in total, then you can multiply 12 x 11 to find out how much money they made.
And to find out how many slices they sold you just have to multiply the 11 total pies by 6 because each pie had six pieces.
What is the value of - (-5)?
BTW - Can you tell me what that means? I'm not sure what the number is or what it means, yes I do know it's a negative but still
Answers
Answer:
[tex] + 5 \: i \: hope \: so \: . \: absolute \: value \: is \: used[/tex]
A piece of copper tubing is in the shape of a hexagonal prism. The area of the base of the prism is 3 square centimeters. The volume of the prism is 51 cubic centimeters. What is the height of the tubing?
Answers
Answer: 17 cm
Step-by-step explanation:
For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:
V = B*H
Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3
Then:
B = 3cm^2
V = 51cm^3
If we replace those in the equation above, we get:
51 cm^3 = (3cm^2)*H
Solving this for H gives:
(51 cm^3)/(3 cm^2) = H = 17 cm
The height of the tubing is 17 cm
what is the surface area ?
816 cm squared
456 cm squared
106 cm squared
272 cm squared
Answers
how many terms are in the given expression 7x+5w+23t+3
Answers
Answer:
4
Step-by-step explanation:
7x 5w 23t 3
Brainiest to who answers
Find the x- and y-intercepts of the graph of 3x + 2y = 20. State your answers as
whole numbers or as improper fractions in simplest form.
Answers
The x-intercept is given by the coordinates as (x, 0)
i,e y = 0
The y-intercept is given by the coordinates as (0, y)
i.e x = 0
The x-intercept of the graph of 3x + 2y = 20 is at x = 20/3
The y-intercept of the graph of 3x + 2y = 20 is at y = 10
What are coordinates in a graph?
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
3x + 2y = 20
The x-intercept is given by the coordinates as (x, 0)
i,e y = 0
The y-intercept is given by the coordinates as (0, y)
i.e x = 0
Now,
3x + 2y = 20
Putting x = 0 in (1) we get the y-intercept.
3x + 2y = 20
3x0 + 2y = 20
0 + 2y = 20
2y = 20
Divide both sides by 2.
y = 20/2
y = 10
Putting y = 0 in (1) we get the x-intercept.
3x + 2y = 20
3x + 2 x 0 = 20
3x + 0 = 20
3x = 20
Divide both sides by 3.
x = 20/3
Thus,
The x-intercept of the graph of 3x + 2y = 20 is at x = 20/3
The y-intercept of the graph of 3x + 2y = 20 is at y = 10
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Identity whether the following points are collinear . (2 , 3 ) (4 , 7 ) (8 , 11 )
Answers
Answer:
not collinear points
Step-by-step explanation:
If the points are collinear ( lie on the same line ) then the slopes between adjacent points will be equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)
m = [tex]\frac{7-3}{4-2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Repeat with (x₁, y₁ ) = (4, 7) and (x₂, y₂ ) = (8, 11)
m = [tex]\frac{11-7}{8-4}[/tex] = [tex]\frac{4}{4}[/tex] = 1
Since the slopes are not equal then the points are not collinear
Rectangle ABCD is the image of ABCD after the reflection of which of the following lines
Answers
Answer My best guess is D
Step-by-step explanation:
For a school fundraiser, Jessica will make T-shirts. She will order T-shirts and print graphics on them. Jessica must spend $255 on a printing machine and
$6.80 per shirt for the blank shirts, Ink, and other supplies.
Part
What is the maximum number of T-shirts Jessica can make with a budget of $1,000?
Explain your answer or show your work:
Answers
1000-255= 745
You then divide the 745 by the cost of making each shirt,
745/6.80= 109.56
Since you can’t make .56 of a shirt, and the budget says we can’t round up, you can only make 109 shirts.
Hope that helps!
What is an equivalent ratio to 5:10?
Answers
Answer:
1:2
Step-by-step explanation:
Its just like fractions
You can simplify it.
Leon has $50 in a savings account that earns 10% interest, compounded annually. To the nearest cent, how much interest will he earn in 2 years?
Answers
Answer:
$10.50
Step-by-step explanation:
Interest = future value - amount saved
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
$50 x (1.1)^2 = $60.50
Interest = $60.50 - $50 = $10.50
Please help asap!!!!!!
Answers
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnhyrg
Step-by-step explanation:
Answer:x=15
Step-by-step explanation:
-angles of a triangle add up to make 180degrees
1) 34+7x+3x-4=180
2) 30+10x=180
3) subtract 30 from both sides
10x=150
4) divide both sides by 10
X=15
Help please
ху
22
34
46
58
Which function corresponds with the table?
Answers
how do u solve rational exponent equations
Answers
Help please
Brainiest answer to first to answer
Answers
Answer:
43
Step-by-step explanation:
14+6+6+8+9
Answer:
108
Step-by-step explanation:
8*9=72
6*6=36
72+36= 108ft