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navik [9.2K]
3 years ago
13

An isosceles triangle has slant height s and angle t opposite the base. Find a formula for the base length b in terms of the ang

le t and the slant height s.Find a formula for the enclosed area A in terms of t and s.
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

OK, let's try with no figure.  We have an isosceles triangle sides s,s, and b.

Opposite b is angle t.

Draw the altitude h to bisect t.  We have two right triangles, legs b/2 and h, hypotenuse s.  The angle opposite b/2 is t/2 so

sin(t/2) = (b/2)/s = b/2s

So we arrived at the first part,

b = 2s sin(t/2)

The area of a triangle with sides s,s and included angle t is

A = (1/2) s² sin t

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Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?
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Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\

=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



7 0
3 years ago
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Factor 3y^2 - 4y. plzzzzzz
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Answer:

y(3y - 4)

Step-by-step explanation:

3y^{2} -4y

Both have y.

Factor y out of 3y^{2} -4y

y(3y-4)

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Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor. How many toy cars are multicol
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Answer:

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Use your knowledge of parallel lines and same-side interior angles to solve this problem. In this parallelogram, the measure of
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I think it is 2 I am trying to solve it only 4th grade
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What is the slope of the line passing through the points (−1, 7) and (4, −1)?
Damm [24]

Hey!

------------------------------------------------

Formula: m = \frac{y2 - y1}{x2 - x1}

------------------------------------------------

Steps To Solve:

~Substitute

m = \frac{-1 - 7}{4 - (-1)}

~Simplify

m = \frac{-8}{5}

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Answer:

\large\boxed{C)~\frac{-8}{5} }

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Hope This Helped! Good Luck!

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3 years ago
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