The area of the given triangle will be 216 cm²
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.
Let the side lengths of the given triangle be 3x, 4x, and 5x
The perimeter of the triangle = 3x + 4x + 5x
72 = 12x
x = 6
So first side length = 3(6) = 18 cm
So second side length = 4(6) = 24 cm
And third side length = 5(6) = 30 cm
Area of the triangle = (18 × 24)/2
Area of the triangle = 216 cm²
Therefore, the area of the given triangle will be 216 cm².
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Divide. Write your answer as a fraction or a mixed number in simplest form
8 2/3 • 1 7/9
The addition of the fraction 8 2/3 + 1 7/9 is 10 4/9.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the addition of the fraction will be:
= 8 2/3 + 1 7/9
= 8 6/9 + 1 7/9
= 9 13/9
= 9 + 1 4/9
= 10 4/9
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%84, percent of Astrid's books are fiction. What fraction of Astrid's books are fiction?
Answer:
the fraction would be
84/100
Answer:
84/100
Step-by-step explanation:
84% is out of a hundred.
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answer:
24
Step-by-step explanation:
You take the end points for the graphs and ignore the bumpy areas since it is taking the average and that is irrelevant to the question. naomi is 6 m/10 min which is 36 mph and maya is 12 mph. 36-12=24.
Answer:
Step-by-step explanation:
We are planning a reception for our daughter. The hall that we are renting charges a $90 cleanup fee. In addition to the cleanup fee, they charge $29 per guest for food and drinks.
If we have $3,100.00 available, what is the maximum number of guest we can invite without going over our budget?
Answer:
The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.
3,100.00 = 29x + 90
3,100.00 - 90 = 29x
3,010.00 = 29x
3,010.00/29 = 29x/29
x = 103 guests
⬚︎ - 5 = 6. what is the value of the square
11 is the value of the square
Question 2 plz help I’ll try my best to mark brainliest
Answer:
F. [tex]\sqrt{x}[/tex]
Step-by-step explanation:
if you replace x with 2 and plug these into your calculator, you can see that [tex]\sqrt{x}[/tex] has the least value
HELP HERE PLESSS. :)
***
Answer:
is reflected across the line x=4
plsss help i especially need 4 & 5 pls ill give brainliest to right answer
Answer:
4. y = 15x
5. y = 0.375x ([tex]y=\frac{3}{8}x[/tex])
Step-by-step explanation:
15 * 1 = 15
6/16 = 0.375
Solve for x and then find the measure of angle, A.
Answer:
x = 25 ; m∠A = 148°
Step-by-step explanation:
∠A ≅ ∠B (alternate exterior angles)
(6x - 2)° = (4x + 48)°
2x = 50
x = 25
m∠A = 6(25) - 2 = 148°
( 2 + 2i )^20=
(a) 2^20
(b) 2^30
(c) 2^20i
(d) -2^30
24
34
22i
-34
yup your welcome
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
I need help and the time is running please help
Answer:
I think its B
Step-by-step explanation:
I'm sorry if I'm wrong. I'm busy
Answer:
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Simplify Each Expression By Combining Like Terms.
1) 11x+9x
2) 8y-7y
3) 5t-7t
4) -n+4n
5) 5w^2 + 12w^2
6) 2x^2 - 9x^2
7) -4y^2 + 9y^2
8) 6c-4 + 2c-7
9) 5-3x+y+6
Answer:
1) 11x + 9x
= 20x
2) 8y - 7y
= 1y
= y
3) 5t - 7t
= -2t
4) -n + 4n
= 3n
5) 5w² + 12w²
= 17w²
6) 2x² - 9x²
= -7x²
7) -4y² + 9y²
= 5y²
8) 6c - 4 + 2c - 7
= 8c - 11
9) 5 - 3x + y + 6
= 11 - 3x + y
How much higher is 500 than -400m
Answer:
Obvious 500 is higher than -400m
3. A number between 30 and 50 is chosen at random. What's the probability that the
number contains at least one 4?
Answer:
0.5789
Step-by-step explanation:
The successful events would be 34 , 40 41 42 43 44 45 46 47 48 49
The total number of ways 19 when you count from 31 to 49
P(1 four) = 11/19 = 0.5789
f(x) = x2. What is g(x)?
Answer:
its C. yw
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did the test
Which equation has x = -i and x = = 21v3 as two of its solutions?
Answer:
The equation in option A is correct.
Step-by-step explanation:
Given the equation
[tex]\:y=x^4+13x^2+12[/tex]
Let us find the solution by setting y=0
[tex]x^4+13x^2+12=0\:\:\:\:\:[/tex]
[tex]\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4[/tex]
[tex]u^2+13u+12=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]u+1=0\quad \mathrm{or}\quad \:u+12=0[/tex]
[tex]u=-1,\:u=-12[/tex]
[tex]\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x[/tex]
[tex]x^2=-1,\:x^2=-12[/tex]
solving
[tex]x^2=-1[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-1},\:x=-\sqrt{-1}[/tex]
[tex]x=i,\:x=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
solving
[tex]x^2=-12[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-12},\:x=-\sqrt{-12}[/tex]
[tex]x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Hence, the solutions are:
[tex]x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Therefore, the equation in option A is correct.
Please ANSWER Correctly The Question will be Placed first then the graphs will be placed in order for answer choices from A - D
Answer:
C
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
By looking at the points for (x,y) in the tables, we notice that the only graph that has the points at (-1,-3), (1,2) and you can assume the other points will be on the graph from the table.
3. Ms. Turner's garden has side lengths of V17 yards and V24 yards.
Mr. Webster's garden has side lengths of V5 yards and 138 yards.
Compare the areas of the gardens. Decide whose garden is larger and by how much. Be sure to
explain your thinking. (A = lw)
+
10:04 PS
Answer:
Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
Step-by-step explanation:
Representing the length of the garden by l and width of the garden by w.
For turner's garden, given that l= 24 yards and w= 17 yards.
As the area, A, of the rectangular garden having length l and width w is
So, the area of Ms. Turner's garden, = 24x17=408 sq. yards
For turner's garden, given that l= 5 yards and w= 138 yards.
So, by using equation (i),
the area of Mr. Webster's garden, = 5x138=690 sq. yards
Here, [tex]A_2 > A_1[/tex], and
= 690-408= 282 sq. yards.
Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
YOU GET CORRECT YOU GET BRAINLIEST!!!!!!!
Answer: 6
Step-by-step explanation:
Need answers for this please.
Answer:
Step-by-step explanation:
isolate the variable on the following problem. show your work.
11z= 4
In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
1. fourth
Half of a number is added to four. This sum is equivalent to negative one.
2. first
The sum of a number and three is divided by five. The result is negative two.
3. third
The difference between four times a number and five has a result of negative eight.
4. second
The difference between a number and five is multiplied by negative two. The
resulting product equals fourteen.
5. fifth
The sum of a number and two is equal to the quotient of six and negative four.
I WILL GIVE BRAINLEST
Answer:
First x=-13 (The sum of a number and three is divided by five. The result is negative two.)
Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)
Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)
Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)
Fifth x=12 ( The difference between a number and five is multiplied by negative two. The resulting product equals fourteen. )
Step-by-step explanation:
We will consider number = x
1. Half of a number is added to four. This sum is equivalent to negative one.
[tex]\frac{1}{2}x+4=-1[/tex]
Now solving to find value of x
[tex]\frac{1}{2}x+4=-1\\\frac{1}{2}x=-1-4\\\frac{1}{2}x=-5\\x=-5*2\\x=-10[/tex]
So, value of x=-10
2. The sum of a number and three is divided by five. The result is negative two.
[tex]\frac{x+3}{5}=-2[/tex]
Solving:
[tex]\frac{x+3}{5}=-2\\x+3=-2*5\\x+3=-10\\x=-10-3\\x=-13[/tex]
So, value of x=-13
3. The difference between four times a number and five has a result of negative eight.
[tex]4x-5=-8[/tex]
Solving:
[tex]4x-5=8\\4x=8+5\\4x=13\\x=13/4\\x=3.25[/tex]
So, value of x=3.25
4. The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.
[tex](x-5)*-2=-14[/tex]
Solving
[tex](x-5)*-2=-14\\-2x+10=-14\\-2x=-14-10\\-2x=-24\\x=-24/-2\\x=12[/tex]
So, value of x=12
5. The sum of a number and two is equal to the quotient of six and negative four.
[tex]x+2=\frac{6}{-4}[/tex]
Solving:
[tex]x+2=\frac{6}{-4}\\x+2=-\frac{3}{2}\\x= -\frac{3}{2}-2\\x=\frac{-3-2*2}{2} \\x=\frac{-3-4}{2} \\x=\frac{-7}{2} \\x=-3.5[/tex]
So, value of x=-3.5
Now arranging based on values of x
x=-10, x=-13, x=3.25, x=12, x=-3.5
First x=-13 (The sum of a number and three is divided by five. The result is negative two.)
Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)
Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)
Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)
Fifth x=12 ( The difference between a number and five is multiplied by negative two. The resulting product equals fourteen. )
Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)
30 inches
36 inches
50 inches
75 inches
Answer:
30 inches
Step-by-step explanation:
using a^2+b^2=c^2
72^2=5184
30^2=900
5184+900=6084
√6084=78
Answer:
30
Step-by-step explanation:
Determine how (if possible) the triangles can be proved similar.
Answer:
It's not similar :)
hope this helps<3
The triangles are not similar because the sides are not proportional.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
So we know that length of sides are proportional.
If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.
We have only the length of two sides of each triangle.
If those sides are proportional, we must have an angle of each triangle to be equal.
Here, the angles formed by the intersecting lines are vertical angles and are thus equal.
Let's look if the sides are proportional.
20 / 36 = 5/9
24 / 42 = 4/7
Sides are not proportional.
Hence the given triangles are not similar.
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FIRST CORRECT ANSWER WILL GET BRAINLIEST
What is the y-intercept of the line on the given graph?
A)4
B)-2
C)2
D)-4
Answer:
2
The y intercept is the point at which a line crosses the y axis. In the graph the y axis is crossed at 0, 2 or just 2
Step-by-step explanation:
4x+5y=9
4x−2y=2
x= y=
Answer:
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20
Answer:
x=0, y=0 this is so easy
This wasn’t helpfull at all.
Answer:
Yeah
Step-by-step explanation:
Answer:
w h a t
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE YOU BRAINIEST ANSWER
Answer: What is the question?
Step-by-step explanation: The slope is 1x and the equation is y=x+3
Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?
Answer: 8
Step-by-step explanation: if Coach Rhodes solves 4 more than twice Coach South then that would mean Coach South solves 8.
Twice 8 equals 16, plus 4 equals 20.