Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor
Answers
Answer:
Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.
Step-by-step explanation:
Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno
Cos A = b² + c²-a² / 2bc ------ ecuación A
Cos B = a² + c²-b² / 2ac ------- ecuación B
y Cos C = b² + a²-c² / 2ab ------ ecuación C
Si tomamos a = 29, b = 35 y c = 48
Luego, poniendo los valores
Cos A = b² + c²-a² / 2bc
Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)
Cos A = 1225 + 2304-841 / 3360
Cos A = 0,8
A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.
similar
Cos B = a² + c²-b² / 2ac
Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)
Cos B = 1920/2784
B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados
Y
Cos C = b² + a²-c² / 2ab
Porque C = 1225 + 841-2304 / 2 * 29 * 35
Cos C = -0,11724
C = cos ⁻¹ -0,11724
C = 96,73 = 97 grados
la altura se puede calcular usando la fórmula
h = b. sin C = c. Pecado B
h = 35 sin 97 °
h = 34,75 = 35 cm
English
Using the cosine rule we can find the measures of the angles of the scalene triangle
Cos A= b²+c²-a²/ 2bc------ equation A
Cos B = a²+c²-b²/ 2ac------- equation B
and Cos C= b²+a²-c²/ 2ab------ equation C
If we take a= 29 , b= 35 and c= 48
Then by putting the values
Cos A= b²+c²-a²/ 2bc
Cos A= (35)² + (48)² - (29)²/ 2(35) (48)
Cos A= 1225+2304-841/ 3360
Cos A= 0.8
A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.
Similarly
Cos B = a²+c²-b²/ 2ac
Cos B = (29)²+(48)²-(35)²/ 2(29) (48)
Cos B= 1920/2784
B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees
And
Cos C= b²+a²-c²/ 2ab
Cos C= 1225+841-2304/2*29*35
Cos C= -0.11724
C= cos ⁻¹ -0.11724
C= 96.73= 97 degrees
the height can be calculated using the formula
h= b. sin C= c. Sin B
h= 35 sin 97°
h= 34.75= 35 cm
The angles are 36, 47 and 97 degrees and height is 35 cm
Related Questions
A. 58
B. 110
C. 45
D. 51
Answers
Answer:
A. 58
Step-by-step explanation:
70° + m<3 + 52° = 180°
m<3 = 58°
Answer:
A. 58°
Step-by-step explanation:
here's your solution
==> 70° + 52° + angle 3 = 180°. [linear pair]
==> angle 3 + 122° = 180°
==> angle 3 = 180° - 122°
==> angle 3 = 58°
hope it helps
From the set {5, 15, 23), which of the values can be substituted for m to make the
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4 + m < 19
A. 15
B. none of these
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D. 5
Answers
Answer:
its A and i am sure her is the explanation
Step-by-step explanation:
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Leave in terms of pi. Round to the nearest whole number!
Volume=
Tft?
Blank 1:
Question 101
Answers
30.66pi ft³
First, we need to find the volume of the cylinder using the following equation
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The volume of the cylinder is 20pi
Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole
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O A) convenience sample
OB) simple random sample
O C) stratified random sample
OD) voluntary response sample
Answers
Answer:
O A) convenience sample
Step-by-step explanation:
O A) convenience sample
The sampling method which describes the situation is option D. voluntary response sample.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
This is included in the non probability sampling methods.
So it is either convenience sample or voluntary response sample.
Convenience sample is the selection of a sample which is convenient for you. That is, the sample which is most accessible is selected by the researcher.
Voluntary response sample is also the one which is most accessible. But the researcher is not selecting the sample. Instead the members of the population can decide whether to took part in the sample.
Here it is customer's wish to complete the survey.
So it is voluntary response sample.
Hence the correct option is D. voluntary response sample.
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https://brainly.com/question/12902833
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
(4,8) , is not a solution of the linear equation
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Answer:
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Answers
Answer:
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EXPLANATION :
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given the expression (5⁻²)⁵ ₓ 5⁴
According to indices
(a^m)^n = a^{mn}
(5⁻²)⁵ = (5⁻¹⁰)
(5⁻²)⁵ ₓ 5⁴
= 5⁻¹⁰ ₓ 5⁴
= 5⁻¹⁰⁺⁴
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Answer:
Statisticians and Mathematicians. Statisticians use math on a daily basis. ...
Engineers and Architects. Correct use of math is a critical skill for engineers and architects to ensure that the buildings and structures they build are safe.
Healthcare Professionals. ...
Cryptographers. ...
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Step-by-step explanation:
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Answer:
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Answers
Answer:
2100
Step-by-step explanation:
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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There is a 1/6 chance of getting a letter. To get multiple you must multiply them together. 1/6 times 1/6 is 1/36
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Answers
Answer:
2044 cups
Step-by-step explanation:
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Answers
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Answers
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Step-by-step explanation:
HELP!
Part B:
Is the distance between the flagpole in the street light was 22 yards, with the three landmarks from a right triangle? Show or explain your work.
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Answers
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Answers
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Step-by-step explanation:
The line that has the 1, and the 37° is a total of 180°.
To find the value of 1, simply subtract 37° from 180°:
[tex]180-37 = 143[/tex]
<1 = 143