Answer:50
Step-by-step explanation:
a. How many non-degenerate scalene triangles with integer sides have a
perimeter of 27?
b. A square is inscribed in an equilateral triangle of side length 2 so that
two adjacent corners of the square lie on two sides of the triangle, and
the third side of the triangle contains one side of the square. The area of
the region inside the triangle and outside the square can be expressed as
a√b − c. What is a + b + c?
Answer:
Hello,
a)18
Step-by-step explanation:
[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]
number of triangle=18
b)
Side of the equilateral triangle =2
Height=√3 (using Pythagorean's theorem) (tr ACP)
Triangle ABJ has the same area as the triangle ABC
Uisng Thalès's theorem,
[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]
Help!!
What is equivalent to the expression -2x(-4 + x)
A. 8x - 4x
B. -8x + 4x²
C. -8x + 2x²
D. 8x + 2x²
E. 8x - 2x²
Please help me! I will give brainly!
Answer:
Blank1: (-1/10)
Blank2: 1
Blank3: 5
Step-by-step explanation:
First we can see that numerator is equal to 1 in the last equation, so the second missing value is 1. Looking at the middle equation we can differ that the denominator is 10. This means the missing number in the third equation is equal to ten, so a*2=10, where the answer "a" is the missing value. Solve the equation by dividing both sides by 2 leaving a=5. Final step is to make 1/5+b=1/10, where ''b" is the answer for the first blank. Solve the equation by subtracting (1/5) from (1/10) leaving b=(-1/10)
11 = 1 + 3r + 2r
I really need help with this!!
Answer:
r = 2
Step-by-step explanation:
I'm assuming we're finding r
11 = 1 + 3r + 2r
Add up the numbers with r
11 = 1 + 5r
Subtract both sides by 1
11 = 1 + 5r
-1 -1
10 = 5r
Divide both sides by the coefficient, 5, to isolate the variable, r
10/5 = 5r/5
r = 2
Step-by-step explanation:
11=1+5r
11-1=5r
5r=10
r=10/5
r=2
Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of
What is equivalent to the expression 5x - 4 - 9x +7
A. 4x + 3
B. -4x - 3
C. -4x + 3
D. -x
E. x
6^14 y^8/6^9 y^3 = ???
Answer:
Step-by-step explanation:
Es cero
Answer:
I think its 7776v^11
Step-by-step explanation:
Qual o valor numérico do polinômio 3x+2y para x=3 e y=1?
Help me Guess just help please
Answer:
26
is it direct or step by step?
7×10 to the power of -5 in standard notation!
Please include an explanation!
Thank you!
Can anyone please help?
Answer:
see below
Step-by-step explanation:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Answer:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Step-by-step explanation:
I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher but I'm not in school so please please please answer all of these answers it would mean a lot to me and would help me a lot with the math homework I need to get done, so yeah. Please help.
A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the original price. A. $16.05, B. $15.75, C. $10.50, D. $7.00
can anyone answer this
Answer:
Step 3: 40 + 12 + (18 + 27) = 40 + 12 + 18 + 27
Step 4: 97 (its the answer)
Step-by-step explanation:
Step 3: 40 + 12 + (18 + 27) = 40 + 12 + 18 + 27 = 97
Step 4: 97
Sorry for the bother help plz
Answer:
216 a^6
Step-by-step explanation:
(6a^2)^3
We know (xy)^z = x^z * y^z
6^3 * a^2^3
216 a^2^3
We know x^y^z = x^(y*z)
216 a^(2*3)
216 a^6
Fill in the blanks to complete the steps and solve the equation in the image attached.
S is being divided.
What is the opposite of subtracting 5?
Move 5 to the right side.
It is being divided by 6. What is the inverse of dividing by 6.
Multiply each side by 6.
Hope this helps!! :)
nasa's voyager 1 rocket was able travel 1.224 x 10^5 kilometers in two hours. what is its average speed in kilometers per second?
6.12 km per sec
10.2 km per sec
17 km per sec
61,200 km per sec
Answer:
17 km/s
Step-by-step explanation:
1.224 x 10^5 = 122400
There are 7200 seconds 2 hours
122400 / 7200 = 17
Job seekers should try to work for their preferred companies __________.
A.
without searching the job market
B.
even if it is not the ideal position
C.
even if there are no current openings
D.
only if they know someone at the company
Answer: B
Step-by-step explanation:
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answer:
Generally, the higher the temperature, the larger the population.
Step-by-step explanation:
The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.
Please check the image below for more info on the question
Answer:
The answer is A
Step-by-step explanation:
(I'm not 100% sure though, hope this helps.)
Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)
The unit rate of change of d with respect to t is 8/3
How to graph the line?The statement is given as:
increase of 3 units in t corresponds to an increase of 8 units in d.
This can be represented using the following ratio
t : d = 3 : 8
Express as fraction
t/d = 3/8
See attachment for the graph of t/d = 3/8
The unit rateIn (a), we have:
t/d = 3/8
Inverse both sides
d/t = 8/3
This means that:
Slope or Rate = 8/3
Hence, the unit rate of change of d with respect to t is 8/3
Read more about linear functions at:
https://brainly.com/question/4025726
#SPJ1
Please help me on this question.
Answer:
[tex]f(1)=-48(-\frac{1}{4} )[/tex]
[tex]= 12[/tex]
[tex]f(n)=f(n-1)\:. (-\frac{1}{4} )[/tex]
OAmalOHopeO
30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8
A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9
Write an equation to find the nth term. Then find ₐ₂₄
-1, -4, -7, -10,...
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is -1 and d is the difference, which in this sequence the next term is found by subtracting 3 from the previous term, so d = -3 and n is the term you want to find.
The equation becomes:
an = -1 +(n-1)(-3)
a24 = -1 + (24-1)(-3) = -1 + (23(-3)) = -1-69 = -70
Identify the constant of proportionality from the table.
X: 4, 5, 7, 9
Y: 32, 40, 56, 72
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Answer:
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Step-by-step explanation:
Which of the graphs shows the solution to the inequality?
p < –2
Answer:
Graph C
Step-by-step explanation:
The distance from the Sun to Earth is about 1.5 × 10^11 meters. Suppose light travels at a speed of 3 × 10^8 meters per second. About how long does it take light from the Sun to reach Earth?
PLZ ANSWER ACCURATELY AND QUICKLY WILL MARK BRALINLIEST
Answer:
Si se tiene en cuenta que la velocidad de la luz en el vacío es de 299.792 km/s. La distancia existente entre el 'astro rey' y la Tierra es de unos 149,6 millones de kilómetros, una pequeña operación matemática indica que la luz del Sol tarda aproximadamente 8 minutos y 19 segundos en llegar a nuestro planeta.
Step-by-step explanation:
It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
To find the time it takes for light to travel from the Sun to Earth,
We can use the formula:
Time = distance/speed
where distance is the distance from the Sun to Earth and speed is the speed of light.
Plugging in the given values.
Time = (1.5 × 10^11 meters) / (3 × 10^8 meters per second)
Simplifying.
time = 500 seconds
Therefore,
It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ2
Please help thx and will mark as brainliest if you do it correct!
Please help me! There is graph an I out them as pictures!
