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vitfil [10]
3 years ago
7

What is the answer to this equation 40-32/8+5•-2

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:26

Step-by-step explanation

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Given: △FKL, FK=a
LuckyWell [14K]

Answer:

FL= \frac{a (\sqrt{3} + 1)}{\sqrt{2} }

Step-by-step explanation:

As given  in figure 1 below:

FK = a, m∠F = 45° and m∠L = 30°

Construction: Draw an altitude KE from point K on FL.

Now, In ΔFEK,

FE = EK (Sides opposite to equal angles of a triangle)

Let FE = EK = x  

Now, using pythagoras In  ΔFEK,

(FK)^{2} = (FE)^{2} + (KE)^{2}  

(a)^{2} = (x)^{2} + (x)^{2}

(a)^{2} = 2x^{2}

x = \sqrt \frac{a^{2} }{2} = \frac{a}{\sqrt{2} }

∴ FE = EK = \frac{a}{\sqrt{2} }

Now in ΔEKL, EK = \frac{a}{\sqrt{2} }

Using trigonometry ratio,

TanФ = Altitude\ Base

Tan \theta = \frac{KE}{EL}

Tan 30° = \frac{a/\sqrt{2} }{EL}

\frac{1}{\sqrt{3} } = \frac{a}{\sqrt{2} EL}

EL = \frac{\sqrt{3}a}{\sqrt{2} }

Now FL = FE + EL

FE = \frac{a}{\sqrt{2} } and EL = \frac{\sqrt{3}a}{\sqrt{2} }

∴ FL = \frac{a}{\sqrt{2} } + \frac{\sqrt{3}a }{\sqrt{2} } = \frac{a (\sqrt{3} + 1)}{\sqrt{2} }

4 0
4 years ago
Memez pt.2 ... tell me something funny
aleksandrvk [35]

Answer:

what do you call an alagator in a vest

Step-by-step explanation:

an investigator

4 0
3 years ago
Read 2 more answers
Is it true or false an angle bisector cannot be a median
Ilia_Sergeevich [38]
False, if youre talking about the median/bisector of a triangle, an angle bisector can be a median if and only if the bisected angle is the apex of an isosceles or equilateral triangle.
7 0
4 years ago
PLEASE HELP ME I NEED THIS DONE ASAP !!!
Maurinko [17]

Answer:

20

Step-by-step explanation:

the number next to the variable is the coefficient.

20 is the coefficient, while w is the variable

7 0
3 years ago
Find the volume of the cone
Mrrafil [7]

Answer:

Step-by-step explanation:

slant height l = 14cm

r = 6 cm

Use Pythagorean theorem.

h² + 6² = 14²

h² + 36 = 196

h² = 196 - 36

h² = 160

h = √160

h = 12.65 cm

Volume=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}*3.14*6*6*12.64\\\\

= 476.61 cubic cm

7 0
3 years ago
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