Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales
Answers
Listamos los lados faltantes a continuación:
[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.
A continuación, procedemos a resolver cada caso:
1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]
[tex]c = \sqrt{a^{2}+b^{2}}[/tex]
[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]
[tex]c \approx \sqrt{34}\,cm[/tex]
2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]
[tex]z = \sqrt{x^{2}-y^{2}}[/tex]
[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]
[tex]z \approx 5.098\,cm[/tex]
3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]
[tex]p = \sqrt{n^{2}-m^{2}}[/tex]
[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]
[tex]p = 5\,cm[/tex]
4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]
[tex]l = \sqrt{m^{2}+s^{2}}[/tex]
[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]
[tex]l\approx 3.680\,cm[/tex]
Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682
Related Questions
what is the quotient of 64/-11
Answers
Answer:
-5.82
Possible by long devison and the rule that if there is one negitive then the answer is negitive
x^2-y^2+z^2-2xz+2y-1
Answers
Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]
At one sitting, a typical doughnut eater consumes 4 doughnuts containing a total of 680 calories and 40 grams of fat. The typical bagel eater consumes exactly one bagel, at 500 calories and one or two grams of fat per sitting, though the addition of spreads can raise calorie and fat content to the four-doughnut range. Thus, as far as total calorie content is concerned, there is very little difference between what a typical doughnut eater and a typical bagel eater each consumes at one sitting.
The argument depends on assuming which one of the following?
(A) The calories and fat in bagels have the same health impact on bagel eaters as the calories and fat in doughnuts have on doughnut eaters.
(B) Most bagel eaters are not fully aware of the calorie and fat content of a bagel.
(C) Eating bagels instead of eating doughnuts provides no real health benefit.
(D) The typical doughnut eater does not add to doughnuts any substances that increase the total caloric intake.
(E) Most typical doughnut eaters are not also bagel eaters.
Answers
Answer:
C. Eating bagels instead of eating doughnuts provides no real health benefits.
Step-by-step explanation:
There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.
Question 1 of 10
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
6-
Answers
Answer:
yes I think 6 is correct.
Someone please help me it would mean alot !!
Answers
Answer:
y intercept ( 0, 0.4)
x intercept ( 0.3, 0)
Step-by-step explanation:
The y intercept is where is crosses the y axis and the x value is zero
(0, 0.4)
The x intercept is where is crosses the x axis and the y value is zero
(0.3,0)
hi, please solve these three questions for me, i have to shoe solving steps.
Answers
question 3
Step-by-step explanation:
i only able to show you the step of question 3..so sorry
Help me pls its Pythagorean theorem I need help
Answers
Answer:
the answer is 3.81
but rounding it it will be 3.8 meters
Step-by-step explanation:
Pythagorean theorem says
a²+b²=c²
so,
take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²
then put it all together you get
7²+x²=8²
we made b as x because we will be finding b
then substitute the values
x²=8²-7²
x²=64-49
x²=15
to remove that square from the x you then put square root in both
✓x²=✓15
press in the calculator, root of 15 will be about 3.81
now we got
x=3.81
x is the missing measurement
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Answers
Answer:
One solution: 0x + 0.5y = 0
Step-by-step explanation:
9x + 4y = 36
6x + 2.5y = 24
2 * Eq. 1
18x + 8y = 72
-3 * Eq. 2
-18x - 7.5y = -72
Add the multiples of the equations.
0x + 0.5y = 0
Answer: One solution: 0x + 0.5y = 0
The linear combination that reveals the number of solutions to the system is as follows:
One solution: 0x + 0.5y = 0
The system of linear equation is as follows:
9x + 4y = 36
6x + 2.5y = 24
He multiplied the first equation by 2 and the second equation by –3. Therefore,
Combined equation:18x + 8y = 72
-18x - 7.5y = -72
Therefore, let's add the equation
0x + 0.5y = 0
learn more on system of equation: https://brainly.com/question/2437164?referrer=searchResults
How can we write an algebraic expression to describe a two-digit number whose unit's digit is 5 less than the ten's digit?
Answers
Answer:
Let x= the ones digit
Then x+5=the tens digit
Hence the equation is: 10(x+5)+x=x+5+x+63
10(x+5)+x=x+5+x+63
10x+50+x=2x+68
11x+50=2x+68
-2x-50 -2x-50
---------------------
9x=18 Divide both sides of the equation by 9
x=2
Hence the number is 10(2+5)+2=10(7)+2=70+2=72.
I need help I don't understand this.
Answers
Answer:
<1 = 64
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles for triangles
40 +<1 = 104
Subtract 40 from each side
<1 = 104 -40
<1 = 64
Question 1
Points 2
Find the number in which 8 has the highest value.
6586.34
6568.34
6579.83
6579.38
Answers
Step-by-step explanation:
the number which has the highest value as8 is
6586.34
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many does doe he school have
Answers
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?
Solution :Let the number of boys be x
Data :
Total pupils = 2500
Absent no. of boys and girls = 52 and 1/9
Now,
First of all we need to get the number of girls then add it with the no. of boys absent and then subtract the whole from 2500 to get the required answer.Remaining no of pupils = 2500 - 52 ➝ 2448
Hence, the no. of girls absent = 1/9 of 2448 ➝ 272
Therefore,
Total no. of pupils absent = 52 + 272 ➝ 324
No. of pupils present = 2500 - 324 ➝ 2176
Henceforth, 2176 pupils are present
rationalise the denominator of 2sq3+3sq2/4sq3+sq2
Answers
Answer:
[tex]\frac{9+5\sqrt6}{23}[/tex]
Step-by-step explanation:
We can rewrite the fraction as
[tex]\frac{2\sqrt{3}+3\sqrt{2}}{4\sqrt{3}+\sqrt{2}}[/tex]
In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be [tex]4\sqrt{3}-\sqrt{2}[/tex]. Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction:
[tex]\frac{9+5\sqrt6}{23}[/tex]
Solve for x. The triangles are similar.
A. 5
B. 10
C. 4
D. 8
Answers
Answer: D) 8
Work Shown:
32/24 = 2x/12
32*12 = 24*2x
384 = 48x
48x = 384
x = 384/48
x = 8
The correct option is Option D: the value of x is 8
What are similar triangles?The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.
If two triangles are similar
then a₁/a₂=b₁/b₂=c₁/c₂
where a₁, b₁, and c₁ are the sides of one triangle
a₂, b₂, and c₂ are the sides of another triangle
Here it is given that
triangles ΔJLK and ΔRJS are similar.
so by the property of similar triangles,
JR/JL = JS/JK = RS/KL
Given that JR=24
JL=32
JS=12
JK=2x
By using the property
JR/JL = JS/JK
⇒ 24/32 = 12/2x
⇒2x= 12*32/24
⇒2x=16
⇒x=16/2
⇒x=8
Therefore the value of x is 8.
Learn more about similar triangles
here: https://brainly.com/question/14285697
#SPJ2
A rectangle with a perimeter of 113 units is dilated by a scale factor of 3. Find the
perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if
necessary.
Answers
Answer:
339 units
Step-by-step explanation:
You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.
If 15 men can de a piece of work in 12 days, how many men will need to complete the samepiece of
work in 18 days?
Answers
Answer:
10 men
Step-by-step explanation:
This is because men are inversly proportionate to days.
The more the days the lesser the men and bise versa.
This means 180 men can do a painting in one day and 10 men can do the painting in 18 days.
The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?
Answers
Answer:
s(2) = 17 cm
Step-by-step explanation:
We are told that the velocity function is;
v(t) = 6t² + 4t − 5 cm/sec
Integral of velocity gives distance.
Thus;
s(t) = ∫v(t) = ∫6t² + 4t − 5
s(t) = 2t³ + 2t² - 5t + c
We are told that s(0)=3 cm
Thus;
s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3
Thus; c = 3
Thus;
s(t) = 2t³ + 2t² - 5t + 3
At t = 2 secs
s(2) = 2(2)³ + 2(2)² - 5(2) + 3
s(2) = 17 cm
b)
Four students represented the same pattern with the following equations:
Simon C = 4n + 1
Shania C = 3n + 4 + n-3
Tate C = (6n + 1) + (-2n)
Navdeep C = 2(2n + 3) -5
Use algebra skills to determine which of these four equations are equivalent. Show your work.
Answers
Simon
C = 4n + 1
Shania
C = 3n + 4 + n -3
C = 4n + 1
Tate
C = (6n + 1) + (-2n)
C = 6n + 1 - 2n
C = 4n + 1
Navdeep
C = 2(2n + 3) -5
C = 4n + 6 - 5
C = 4n + 1
Therefore all of them are equivalent.
Answered by Gauthmath must click thanks and mark brainliest
What is the solution to the equation below? Round your answer to two
decimal places.
24•log(3x) = 60
A. x = 105.41
B. x = 316.23
C. x= 316.23
D. x = 224.54
Answers
Answer:
x = 105.41
Step-by-step explanation:
24•log(3x) = 60
Divide by 24
log (3x) = 60/24
log (3x) = 5/2
Raise each side to the power of 10
10 ^ log (3x) = 10^5/2
3x= 10 ^5/2
Divide by 3
3x/3 = 1/3 * 10 ^ 5/2
x = 1/3 (100 sqrt(10))
x=105.40925
To two decimal places
x = 105.41
Find the value of the trigonometric ratio.simply the fraction if needed.
Answers
Answer:
Cos A = Adjacent / hypochondrium
Cos A= 9/ 41
Find the volume of this cylinder.
As soon as possible please
Answers
Answer:
36
Step-by-step explanation:
pi (3) x 1^2 x 12 = 3 x 12 = 36
Did I do this right? I really don’t want to fail lol
Answers
Answer:
i think yes!!!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Yes, you did this correctly.
By subtracting the volume of the cylinder from the volume of the rectangular solid, you accurately acquired the volume of the remaining figure.
And yes, your calculations are correct.
URGENT PLS HELP. Pls put why or why not as well thank you:))
Answers
simultaneous equation
Answers
Answer:
(55/38,-16/19)
Step-by-step explanation:
4x -5y = 10
2x + 7y = -3
4x -5y = 10
-4x -14y = 6
-19y = 16
y = -16/19
2x -112/19 = -57/19
x = 55/38
.help me with the question of math
No link
Answers
Answer:
I doubt it is not going to be a great
Step-by-step explanation:
the same time as a child support of the year old girl I don't know what you think about it is not going to
u get that by multiplying both sides and funding a variable
PLZ HELP!! ASAP!! IT"S FROM KHAN!! NO FILES!!
Answers
Answer:
The slope is (1/4)
Step-by-step explanation:
Slope is calculated for the points (5,6) and (1,5). Slope is (6-5)/(5-1)=1/4
Answer: m = 10/3
Step-by-step explanation:
(0.3, 1) (0.6, 2)
(2-1)/(0.6-0.3)=
1/0.3 = 10/3
HELPPPPPPPP
Which of the following is a geometric sequence?
Answers
Answer:
ES LA NUME C R
Step-by-step explanation:
Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1
Answers
Answer:
-4x^3 - 4y^2
Step-by-step explanation:
-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1
= -4x^3 -4y^2
Describe the solution to the inequality. r < –3
Answers
Answer:
98
Step-by-step explanation:
Please help me with this
Answers
Answer:
x = -3/2 or x= sqareroot41/2
Step-by-step explanation:
