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
Which line has the greatest slope?
A
B
C
Answers
Answer:
I think answer might be A
What is 60 x blank = 300?
Answers
Answer:
5
Step-by-step explanation:
300/60=5
Answer:
60 multiplied by 5 gives 300..
Step-by-step explanation:
use the explicit formula to find the 10th term of the following sequence:
1, 5, 25, 125, ...
Answers
Answer: 1,953,125
Step-by-step explanation: Multiplying each by 5. 1, 5, 25, 125, 625, 3,125, 15,625, 78,125, 390,625, 1,953,125
Little help on this?
Answers
Answer:
c
Step-by-step explanation:
Answer:
(4,8) , is not a solution of the linear equation
hope it helps
If the line containing the points in the table is plotted on a coordinate system, what does the
graph look like?
Answers
Answer:
90
Step-by-step explanation:
Help plz, I don't understand
Answers
Find the measure of <1
Answers
143 is the answer.
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
plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?
Answers
Answer:
2100
Step-by-step explanation:
60%=0.6
35%=0.35
0.6*0.35=0.21
0.21*10000=2100
find z and x please
Answers
Answer:
x = 20
X was found using the Pythagorean theorem
Step-by-step explanation:
From the set {5, 15, 23), which of the values can be substituted for m to make the
equation true.
4 + m < 19
A. 15
B. none of these
C. 23
D. 5
Answers
Answer:
its A and i am sure her is the explanation
Step-by-step explanation:
m<19-4m<15name some jobs that include math on a daily bases.
Answers
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. ...
Programmers and Designers. ...
Scientists. ...
Step-by-step explanation:
Question 9 (1 point)
Find the volume of the composite shape below.
5ft - 2 ft
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
[tex]V = r^2h\pi \\V = (2^2)5\pi \\V = (4)5\pi \\V = 20\pi[/tex]
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
[tex]V = \frac{4}{3} r^3\pi \\V = \frac{4}{3} 2^3\pi \\V = \frac{4}{3} 8\pi \\V = 10\frac{2}{3} \pi[/tex]
The volume of both half spheres is 10.66pi
Now we can add both together to get 30.66pi ft³
Which angle measures of 45°
Answers
Answer:
first
Step-by-step explanation:
half of right angle
i need help pleeeeease
Answers
Answer:
5
Step-by-step explanation:
because by solving that the answer comes 5.70
11 (6 - y) = ??
THANK YOUUU
Answers
Answer:
The Answer is gonna be 66-11y
EXPLANATION :
11 (6 - y)
11x6=66
11(y)=11y
So we will get 66-11y
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answers
A restaurant owner wants feedback on the items on the menu, so she leaves a customer satisfaction survey on the tables for customers to
complete if they wish. Which sampling method best describes this scenario?
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.
Learn more about Sampling Methods here :
https://brainly.com/question/12902833
#SPJ2
which of the following is true about the expression /3x/2?
Answers
Answer:
Option Bit represents the product of two irrational numbers and is equivalent to an irrational number.
Hope it helped :)
please help and dont answer if u dont know
Answers
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
Answer: C. 1/6
Because there are 6 cards and each letter is different, so there is a 1 out of 6 chance of getting B.
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.
Part C: if both of distance between the drinking fountain Street light in the drinking fountain in blackboard double, how would that affect the distance between the flagpole a street light? Sure it’s from your work here for you.
Answers
Within the gulf war did javen work at sonic?
Answers
Answer:
yes for 2 hours then died
Step-by-step explanation:
LOLLLL LOOK HERE PIC
What value of x will make the equation below true?
x−4.5=9
Answers
Answer:
13.5
Step-by-step explanation:
9*4.5=13.5
Nadia sells earthworms to fishermen. She charges 75 cents for a dozen worms. Yesterday she sold 48 worms. How much money did she make?
Answers
Answer:
I believe she sold 3 dollars
Step-by-step explanation:
if this helps please give me a crown
Answer:
$3.00
HOPE THIS HELPS :)
Which expression is equivalent to left parenthesis 5 to the power of negative 2 end exponent right parenthesis to the power of 5 space x space 5 to the power of 4 ?
Answers
Answer:
[tex]\frac{1}{5^6}[/tex]
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
= 5⁻⁶
Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]
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
surface area of a rectangular prism with length 11 meters, width 5 meters, and height 14 meters
Answers
Answer:
Step-by-step explanation:11
There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of daises to roses?
Answers
Answer:
5:6
Step-by-step explanation:
1: Minus 11 (all flowers) by 6 (roses) = 5
2: Put daisies before roses, because it says daises to roses.
3: Your answer should be 5:6
Ur welcome
PLEASE HELP! I don’t understand
Answers
x intercepts are the points of the parabola that hit the x-axis.
hope i could help!! pls mark brainliest!!
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were used to water the plants?
Answers
Answer:
2044 cups
Step-by-step explanation:
number of cups left = number of cups in the watering can - number of cups remaining
convert the capacity of the watering can to cups
1 quart = 4 cups
512 x 4 = 2048
2048 - 4 = 2044
Solve the equation (4x – 24) + x = 14.
Distribute the į to the quantity to get:
Combine the like terms to get
Add 6 to both sides to get:
Answers
Answer:
(4x – 24) + x = 144x - 24 + x = 14(4x + x) - 24 = 145x - 24 + 24 = 14 + 245x = 385x/5 = 38/5x = 7.6