Answer:
Perimeter of one triangle is 65 dm
Perimeter of other triangle is 52 dm
Step-by-step explanation:
Please remember the concept
If sides are in the ratio of a:b
Then the area in the ratio of [tex]a^{2} :b^{2}[/tex]
It is given sum of their perimeter is 117.
Let the small triangle has perimeter as x.
So, perimeter of big triangle is 117-x.
So, we can set up equation as
[tex]\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }[/tex]
Cross multiply
50(117-x)^2 =32x^2
Expand the left side
50[tex](13689 -234x+x^{2} )[/tex]=[tex]32x^{2}[/tex]
Distribute the left side
684450-11700x+[tex]50x^{2}[/tex]=[tex]32x^{2}[/tex]
Subtract both sides [tex]32x^{2}[/tex] and rewrite it [tex]18x^{2} -11700x+684450=0[/tex]
Solve this quadratic for x.
Divide both sides of the equation by 18 to simplify.
[tex]x^{2}[/tex]-650 x+38025=0
Now, if possible let's factor
Find two integers whose multiplication is 38025 but adds to -650.
-65 and -585 works.
So, we can rewrite it as
(x -65)(x-585) =0
Solve them using zero product property
x=65, x=585
So, x=65 works here.
So, perimeter of one triangle is 65 dm
Perimeter of other triangle is 117-65= 52 dm
Write the sentence as an equation.
a is 377 subtracted from the quantity 327 times u
Answer:
a = (327u) - 377
Step-by-step explanation:
hope that's correct bc if it isnt it would be pretty embarrassing ngl
which make an angle 45 degree with x axis in negative direction and passes through a point (- 3, 2)
9514 1404 393
Answer:
y = -x -1
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. If you want an angle of -45°, then you need a line with a slope of m = tan(-45°) = -1.
Then the y-intercept is ...
b = y -mx
b = 2 -(-1)(-3) = 2 -3 = -1
So, the slope-intercept equation is ...
y = mx + b
y = -x -1
I WILL GIVE YOU BRAINLIEST TO THE FIRST PERSON THAT ANSWERS
D'(4,4), E'(3,0), F'(0,3)
Write a rule to describe this transformations
Sizwe bought a table for R200 and sold it for 240. Calculate his percentage profit
What is an equation of the line that passes through the points (3,1) and (-3, – 7)?
Put your answer in fully reduced form.
Answer:
y = 4/3x - 3
Step-by-step explanation:
Use rise over run to find the slope, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-7 - 1) / (-3 - 3)
-8 / -6
= 4/3
Now, plug in the slope and a point into y = mx + b to get the equation:
y = mx + b
1 = 4/3(3) + b
1 = 4 + b
-3 = b
Plug in the slope and y intercept into the equation:
y = 4/3x - 3
So, the equation is y = 4/3x - 3
A flower shop sells daffodils in bunches of 9 daffodils. The shop sells 27 daffodils. How many bunches of daffodils did the shop sell?
Answer:
its 3 brother
Step-by-step explanation:
you divide 27 by 9 and thats 3
hey what's 3 3/8 + 3 3/8 + 3 3/8 as a proper fraction i need it right right now
Answer: 10.1
Step-by-step explanation:
Which expression is equivalent to 8(2x + 4)?
A. 16x + 32
B. 2x + 32
C. 16x + 4
D. 10x + 12
What is the vertex of the function (X) = -x + 71 - 4?
O A. (-7,-4)
B.
(7,4)
O C. (-7,4)
OD. (7,-4)
Answer:
C
Step-by-step explanation:
Hope this Helps.
The coordinate of the vertex is ( 7 ,4), the correct option is B.
What is an Absolute value function?An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.
The absolute function is y = | -x +7| +-4
The v shaped curve has a vertex and it can be determined by following method.
The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.
-x +7 = 0
Adding -7 to both sides.
-x = -7
x = 7
The value of y at this point is the y coordinate of the vertex.
y = 0 +4
y = 4
(x,y) = ( 7,4)
To know more about Absolute value function
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how much is 3570 cg
Answer:
357,000 Centigrams
Step-by-step explanation:
Answer:
3 Grams = 300 Centigrams
ANSWER THESE AND YOU GET BRAINLIEST OH AND THESE ARE JUST PROBLEMS I MADE FOR YALL
5. Miley had a rope that was 5.5 meters in length. She cut 3 pieces, 1.25 meters each. How long, in meters, was the remaining rope?
6. Isaiah hiked 3 days.
On Monday, he hiked 314miles
On Tuesday, he hiked 134miles less than he hiked on Monday
On Wednesday, he hiked 212miles more than he hiked on Tuesday
How many miles did Isaiah hike on Wednesday?
Solve for x. Round all answers to the nearest tenth
Please help
Answer:
36.9
Step-by-step explanation:
A monument casts a shadow 215-ft long when the angle of elevation of the sun is 52º. Find
the height of the monument.
I don’t have a calculator on hand but this is how it’s done so just type the final equation in:
SOH
sin (52) x 215 = your answer
in PE class, Josiah and his friends had to measure their heights. They each
used a different measurement tool, and then recorded their heights in the
chart below.
Josiah is 1 yard
Andy is 3 1/2 feet
Frank 31 inches
Question : Which of the following lists the boys’ heights in the correct order from
tallest to shortest?
Answer Choices:
A. Josiah, Andy, Frank
B. Frank, Josiah, Andy
C. Andy, Frank, Josiah
D. Andy, Josiah, Frank
Answer:
D
Step-by-step explanation:
3 1/2 = 1 yard and 1/2 inch then a yard then 31 divided by 12 is 2.??
You pay no Federal taxes up to $9525, 12%
Answer:
1143
Step-by-step explanation:
one thousand one hundred fourty three
Please help !!!!!!! Will mark brainliest
Answer:
i dont now
Step-by-step explanation:
<zxcvbnm,.
Anne Kates house is 20c. She had just made a fresh cup of tea (100c). Five minutes after she made her mad scientist nephew came in,stuck a thermometer in the cup and announced that the tea was now only 70c Write the possible equation with asymptotes
Answer:
The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The horizontal asymptotes is Lim(t → ∞), T → 20°C
The vertical asymptote is Lim(t → 0) T → 100°C
Step-by-step explanation:
The given parameters are;
The temperature of the house = 20°C
The initial temperature of the tea = 100°C
The temperature of the tea after 5 minutes = 70°C
From Newton's law of cooling, is given as follows;
[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]
[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]
Where;
T(t) = The temperature after time, t =
[tex]T_s[/tex] =The room temperature = 20°C
T₀ = The initial temperature of the tea = 100°C
k = Constant
T(5) = 70°C, therefore, we have;
[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]
50/80 = [tex]e^{k \cdot 5}[/tex]
5·k = ㏑(5/8)
k = ㏑(5/8)/5 ≈ -0.094
Therefore, the possible equation is given as follows;
T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The asymptotes are Lim(t → ∞), T → 20°C and Lim(t → 0) T → 100°C
I need help! What’s the value of c in the equation below?
Answer:
-4
Step-by-step explanation:
Answer:
A quarter
Step-by-step explanation:
2 to the power of negative four = 0.0625
Multiply this by two to the power of two [four] and your answer is naught point two five [a quarter]
A number tripled and tripled again is 576. What is the number?
Answer:
192
Step-by-step explanation:
Answer:
It is either 64 or 96. Thank u for ur time
Step-by-step explanation:
I literally used a calculater... and thats the truth...
Choose the equations that have (-3, 5, 3) as a solution. Select the two correct
answers.
-x- y + 5z = 1
x - 2y + 3z = -4
x+y-z= -1
-x+y-z=4
2x - y + z = 8
Answer:
d and b
Step-by-step explanation:
A customer buys roses and carnations from a florist. The customer pays $1.50 for 2 roses and $2.70 for 3 carnations. How much would the customer pay for 1 rose and 1 carnation?
Answer:
1.11 for a carnation and 1.33 for a rose
Step-by-step explanation:
you divide 2 and 1.50 and 3 and 2.70 to get the amount for each flower.
The price of a T-shirt was $20. It was first increased by 20%. They did not
sell well the shop owner decreased the price by 20%. What is the new price
of the T-shirt?
Answer:
First S.P= 20$ + (20/100)×20
=24$
New price = 24- (20/100)×24
=19.2$
A home building company purchases 24 acres of land and divides it into 1/2-acre plots for sale. How many 1/2-acre plots will be for sale?
Answer:
48
Step-by-step explanation:
This is a division problem.
You need to divide 24 by 1/2.
24 / 1/2 = 24/1 / 1/2 = 24/1 * 2/1 = 48/1 = 48
Answer: 48
You can also do it this way.
Each acre is the same size as 2 half-acres.
1 acre = 2 half-acres
Multiply both sides of the equation above by 24.
24 * 1 acre = 24 * 2 half-acres
24 acres = 48 half acres
Answer: 48
What is the relationship between the two quantities in the table?
Х
у
25
1
50
IN
3
75
100
O The relationship between the quantities is: multiply by 25.
O The relationship between the quantities is: add 25.
The relationship between the quantities is: subtract 75.
The relationship between the quantities is: add 75.
Answer:
The answer is d
Step-by-step explanation:
Answer:
The Answer Is A.
Step-by-step explanation:
I Just Got It Correct, And Your Welcome.
please fill all 3 of them
Answer:
Median: 36 and 1/7
Mode: 45
Range: 25
Step-by-step explanation:
33 + 45 + 38 + 27 + 45 + 20 + 45
253 ÷ 7 = 36 and 1/7
1 33
3 45s
1 38
1 27
1 20
The mode is 45.
Largest number: 45
Smallest number: 20
45 - 20 = 25
Help me please I need it by tommrow
Answer:
Only answer is A
Answer:
The first and fourth one.
Step-by-step explanation:
A ratio of 5:2 is saying that for every 5 boys, there are 2 girls. Now, in the question, it says, "In a school" so it must be within the whole school, hence #4. Hope this helps!
Which expression is equivalent to the expression shown below?
11/12 divided by 2/9
A:11/12•9/2
B:12/11•9/2
C:12/11+2/9
D:12/11+9/2
Answer:
Your answer is A. 11/12 • 9/2
is 3(x + 2) and 5x + 6 both the answer 6 , which one is not 6 or are they both not 6
giving brainliest if correct
Steve is playing a carnival game. He wants to win a prize, but he thinks he has about a 20% chance of winning. He uses the expression 0.2t to calculate the number of games he will need to play in order to win a prize.
If he plays the game 12 times, about how many times can he expect to win?
Answer:50%
Step-by-step explanation:
Steve's expected times of winning in 12 trials is about 2 times.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
The winning chance of Steve is 20% or 0.2.
We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.
Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.
Therefore, If he plays the game 12 times the number of times he is expected to win is,
= 12×0.2.
= 2.4 Or 2 times.
learn more about probability here :
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PLEASE HURRY 10 POINTS FOR ALL OF YOU
And why is hannajackson so rood
Answer:
288cm
Step-by-step explanation: She is a beach..Thats why shes rude