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2 years ago

12

The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible l

ength of one of the two congruent sides?

2 answers:

Ilia_Sergeevich [38]2 years ago

8 0

Answer:

The smallest possible length would be 8.5 cm.

Step-by-step explanation:

Since, an acute isosceles triangle having two congruent sides with three acute interior angles,

Given,

The longest side of an acute isosceles triangle is 12 centimeters,

Let x be the side length of the each of the congruent sides,

So, by the property of acute isosceles triangle,

$x^2+x^2\geq (12)^2$

$2x^2\geq 144$

$x^2\geq 72$

$\implies x\geq \sqrt{72}=8.48528137424\approx 8.5$

Hence, the smallest possible length of one of the two congruent sides is 8.5 cm

liraira [26]2 years ago

6 0

12/sqrt (2)=6/sqrt (2), 8.484cm. Round it up to 8.5cm

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Solve the equation 3sin2 theta = sin e, for values of e between Oº and 360°

Reil [10]

Answer:

[B] 0, 19.5, 160.5, 180, 360

Step-by-step explanation:

3 sin²θ = sin θ

3 sin²θ − sin θ = 0

sin θ (3 sin θ − 1) = 0

sin θ = 0 or sin θ = ⅓

If sin θ = 0, θ = 0°, 180°, 360°.

If sin θ = ⅓, θ = 19.5°, 160.5°.

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2 years ago

How to solve 4x-c=k solve for x

Tresset [83]

Answer:

$x = \frac{k + c}{4}$

Step-by-step explanation:

<em><u>Given:</u></em>

$4x - c = k$

<em><u>Solve for:</u></em>

$x$

<em><u>Solution:</u></em>

(1) Let's move all of components that do not contain $x$ (our target) to the right side (notice the change of sign of $c$ from negative to positive):

$4x = k + c$

(2) Let's divide both sides of equation by 4:

$\frac{4x}{4} = \frac{k + c}{4}$

(3) Now, we simplify the left side:

$x = \frac{k + c}{4}$

This is the solution.

Hope this helps!

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3 0

3 years ago

Solve ln 2 + ln x = 5. Round to the nearest thousandth, if possible.

azamat

Answer:

The value of x nearest to thousandths is, 74.207

Step-by-step explanation:

Solve : $\ln 2 + \ln x = 5$

$\ln$ represents the logarithmic function with base e.

Using logarithmic properties:

$\ln (mn) = \ln m + \ln n$

$\ln x = a$ , then $x = e^a$

$\ln 2 + \ln x = 5$

Apply the logarithmic properties; we have

$\ln 2x = 5$

then;

$2x = e^5$

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Divide both sides by 2 we get;

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2 years ago

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Nezavi [6.7K]

Answer:

$-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}$

Decimal Form:

$x = -267.38030...$

Step-by-step explanation:

$-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14$

Remove Parentheses: $(-a) = -a$

$-3^{\circ \:}x\left(-3\right)=-3\cdot \:14$

Multiply the numbers: $3 * 14 = 42$

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Divide both sides by: $-3^{\circ \:}\left(-3\right)$

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Simplify:

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Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

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2 years ago