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2 years ago

A = 10, b = 24, c = _____

Mathematics

1 answer:

Arlecino [84]2 years ago

3 0

Answer:

c=26

Step-by-step explanation:

By using pythagoram thoerem

c^2=a^2+b^2

c^2=(10)^2+(24)^2

c^2=100+576

c^2=676

c=sqrt(676)

c=26

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What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?

liq [111]

Answer:

a) cosθ = $\frac{-2\sqrt{85} }{85}$

Step-by-step explanation:

<u><em> Step(i):</em></u>-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

x = r cos θ and y = r sinθ

where $r = \sqrt{x^{2} +y^{2} }$

$r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}$

<u><em>Step(ii)</em></u>:-

x = r cos θ

cosθ $= \frac{x}{r}$

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2 years ago

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weqwewe [10]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]

snow_lady [41]

The value of the length DF is 17

<h3>How to determine the length DF?</h3>

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

Read more about congruent triangles at:

brainly.com/question/1675117

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2 years ago

Need answer please show work

Jet001 [13]

Let us set up some variabe:

height: h
base: b

Use the known information:

b = 2h + 8

Now lets find the area

Area = (1/2) * b *h = (1/2) * h * (2h + 8)

Hope that helps!

7 0

1 year ago