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3 years ago

Find the approximate value of b in the triangle shown.131285

Mathematics

2 answers:

Paul [167]3 years ago

8 0

Answer:

The side b is 5 units

Step-by-step explanation:

Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.

a=12 units

c=10 units

∠B=24°

we have to find the side b of triangle ABC

By cosine law,

$\cos B=\frac{a^2+c^2-b^2}{2ac}$

$\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}$

$b^2=244-240\cos 24^{\circ}=24.7490901658$

$b=4.97\sim 5units$

givi [52]3 years ago

4 0

Answer:

The answer is D. 5

Step-by-step explanation:

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Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the

olganol [36]

Answer:

none of the above

f(x) ≈ 197·1.03^x; approximately 3% daily

Step-by-step explanation:

If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...

f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x

f(x) ≈ 197·1.03^x

The daily multiplier of 1.03 represents a daily growth rate of

1.03 -1 = .03 = 3%

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These answers are not found among the offered choices:

f(x) = 197·1.03^x

3% daily growth

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

-7x - 5(-3x + 6) = 58 solve for x

Furkat [3]

Answer:

X= 11

Step-by-step explanation:

That equation becomes -7x+15x-30 =58

And add them all up giving you 8x-30=58

Add 30 to both sides

8x=88

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4 0

4 years ago

Determine the graph of the polar equation r =6/2-2cos theta.

anzhelika [568]

Answer:

Choice D is correct

Step-by-step explanation:

The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;

$r=\frac{3}{1-cos(theta)}$

The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.

The value of the directrix is determined as;

d = k/e = 3/1 = 3

The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;

x = -3

Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria

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3 years ago

Is it possible to build a triangle with sides of 5,5,10

Harman [31]

Answer:

yes

Step-by-step explanation:

its called an isoceles triangle

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3 years ago

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Combine like terms: 2 + 4p – 6p – 3

vladimir2022 [97]

Answer:

-2p - 1

Step-by-step explanation:

$\text{Combine like terms.}\\\\2+4p-6p-3\\\\4p-6p+2-3\\\\\boxed{-2p-1}\\\\\\\text{Hope this helps!}$

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3 years ago

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Find the approximate value of b in the triangle shown.131285​

Find the approximate value of b in the triangle shown.131285