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PilotLPTM [1.2K]
3 years ago
11

In the triangle, the length of side a is 5 ft., and m∠A=60°. Find the exact lengths of sides b and c.

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Answer:

b = \frac{5\sqrt{3} }{3}

c = \frac{10\sqrt{3} }{3}

Step-by-step explanation:

\frac{5}{\sqrt{3} } =\frac{5\sqrt{3} }{3} side b

\frac{5\sqrt{3} }{3} . 2= \frac{10\sqrt{3} }{3} side c

Ivanshal [37]3 years ago
6 0

Answer:

Lengths of B and c are 5 ft

Step-by-step explanation:

Since ∆is an equilateral ∆

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F(x) = 5x2 – 20x + 26<br> In vertex form
mihalych1998 [28]

Answer:

f(x)=5(x-2)^{2}+6

Step-by-step explanation:

we have

f(x)=5x^{2} -20x+26

This is the equation of a vertical parabola open upward

The vertex is a minimum

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^2+k

where

(h,k) is the vertex

Convert the given function to vertex form

Factor the leading coefficient

f(x)=5(x^{2} -4x)+26

Complete the square

f(x)=5(x^{2} -4x+4)+26-20

f(x)=5(x^{2} -4x+4)+6

Rewrite as perfect squares

f(x)=5(x-2)^{2}+6 ------> equation in vertex form

The vertex is the point (2,6)

6 0
2 years ago
4.44 x 4 = please my sister needs it
Ludmilka [50]

Answer:

17.76

Step-by-step explanation:

0.44 x 4 = 1.76

4 x 4 = 16

16+1.76=17.76

6 0
3 years ago
What is the reason for each step in the solution of the equation?
MrRa [10]
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1   |Distributive
−x+6= 1         |SPOE (Subtraction Property of Equality)
−x= −5           |SPOE
x=5                |MPOE (Multiplication Property of Equality)</span>
3 0
3 years ago
En la expresion algebraica x², ¿que indica el número 2 en la base x?
tino4ka555 [31]

Answer:

En la expresión, 2 representa la cantidad de veces que multiplicas x por sí mismo.

**Lo siento si mi español es malo, el inglés es mi primer idioma.

Step-by-step explanation:

8^{2} = 8 × 8 = 64

y^2= y × y

5 0
3 years ago
Please show your work!!!!
viva [34]

Answer:

4√34

Step-by-step explanation:

Let the unknown side be y

y^2 = 20^2 + 12^2

y^2 = 400 + 144

y^2 = 544

Take the square root of both side

y = √544

y = √(16x34)

y = √16 x √34

y = 4√34

6 0
3 years ago
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