In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.
Find AH and Aᴬᴮᶜ
Answers
Answer:
AH = 4 units
Area of ΔABC = 16 square units
Step-by-step explanation:
Since ΔABC is an isosceles triangle,
AC = BC
∠CAB ≅ ∠ABC [Opposite angles of the equal sides in a triangle are equal]
In ΔABC,
m∠CAB + m∠ABC + m∠ACB = 180°
m∠ABC + m∠ABC + 150° = 180°
2m∠ABC = 30°
m∠ABC = 15°
Now we apply cosine rule in ΔABC,
AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)
AB² = 8² + 8² - 2(8)(8)cos(150°)
AB² = 128 + 110.85
AB = [tex]\sqrt{238.85}[/tex]
AB = 15.45
In ΔABH,
sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]
sin(15°) = [tex]\frac{AH}{15.45}[/tex]
AH = 15.45sin(15°)
AH = 3.998
AH ≈ 4.0 units
HC = [tex]\sqrt{8^{2}-4^2}[/tex]
= [tex]\sqrt{48}[/tex]
= 6.93
Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 square units
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Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial
Answers
Answer:
1-2i
Step-by-step explanation:
complex roots come in conjugate pairs
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Answers
Answer: (3,0)
Step-by-step explanation: x=0
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divide both sides by 3 you get
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Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
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Answers
Answer:
4/35 pounds
Step-by-step explanation:
4/7 ÷ 5 is the same as
[tex]\frac{4}{7} * \frac{1}{5}[/tex]
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Answer:
4/35
Why?
To figure this out I had to make 5 into a fraction. 5/1. Now, I had to find a common denominator. 35. From there I changed both fractions, divided them, and got my answer.
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Answers
Answer:
71 %
Step-by-step explanation:
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Answers
Answer
(6+9)+4=4+15
Step-by-step explanation:
First you would do (6+9) because it's in parenthesis. (6+9)= 15. So now our equation looks like 15+4=4+? Next we will do 15+4=19. 19=4+? is the new equation. Now the final step is to do 19-4=15 which is what we will plug into the equation.
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Step-by-step explanation:
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C. Salt
B. Flour
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Answer:
Your answer would be flour
Step-by-step explanation:
flour helps thicken things just like cornstarch does
Answer:
rice flour, ground flaxseeds, wheat flour, potato flour, and regular flour
Step-by-step explanation:
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1. Un arquitecto construirá una casa de interés social en un área rectangular de 52 m². El
frente será el ancho de la casa y el largo será dos veces el ancho.
a.
Traza una figura geométrica que represente el terreno
b.
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Answers
Answer:
Definamos:
A = Ancho
L = Largo.
Sabemos que el área es rectangular, y para un rectángulo de ancho A y largo L, el área es:
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Y sabemos que L = 2*A.
a) Una imagen se encuentra abajo.
b) Como podemos escribir la variable L en términos de la variable A, podemos escribir:
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Entonces la variable que usamos es el ancho.
Ahora podemos resolver el problema:
52m^2 = 2*A^2
52m^2/2 = 26m^2 = A^2
A = √(26m^2) = 5.1 m
Entonces el largo es:
L = 2*A = 2*5.1m = 10.2 m
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Answer:
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Step-by-step explanation:
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I REPEAT BRAINIEST ON THE LINE!!!!
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Answers
Answer:
25.67 km
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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I hope thats correct lol
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Hope dis helps TwT
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
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To learn more about Division, click on the link given below :
https://brainly.com/question/4196546
#SPJ2
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Step-by-step explanation:
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Answers
Answer:
it would look like the picture below
Step-by-step explanation: