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3 years ago

10

Plzzzzz help meeeee ASAP

2 answers:

Mkey [24]3 years ago

8 0

Answer:

$x \approx 51.058\°$

or in radians

$x \approx 0.8911$

Step-by-step explanation:

We have the opposite side of angle x and hypotenuse of the right triangle.

$\text{sin}(\theta)= \frac{\text{opposite}}{\text{hypotenuse}}$

$\text{sin}(x)= \frac{14}{18}$

$\text{sin}(x)= \frac{7}{9}$

$x \approx 51.058\°$

Let's find the other side.

$18^2=14^2+b^2\\324=196+b^2\\b=\sqrt{128}$

$b=8\sqrt{2}$

Svetlanka [38]3 years ago

7 0

I think is 252? I’m sorry I tried:(

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The ratio of the measures of the three sides of a triangle is 1/4:1/3:1/6 and its perimeter is 31.4 centimetres find the length

lina2011 [118]

Given:

The ratio of the measures of the three sides of a triangle is $\dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}$ .

Its perimeter is 31.4 centimeters

To find:

The shortest side of the triangle.

Solution:

Let the measures of the three sides of a triangle are $\dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x$ respectively (in cm).

Its perimeter is 31.4 centimeters.

$\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4$

$\dfrac{3x+4x+2x}{12}=31.4$

$\dfrac{9x}{12}=31.4$

$\dfrac{3x}{4}=31.4$

On further simplification, we get

$3x=4\times 31.4$

$3x=125.6$

Divide both sides by 3.

$x=\dfrac{125.6}{3}$

$x=41.867$

Now, the sides of triangle are

$\dfrac{1}{4}(41.867)=10.467$

$\dfrac{1}{3}(41.867)=13.956$

$\dfrac{1}{6}(41.867)=6.978$

Therefore, the length of the shortest side is 6.978 cm.

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3 years ago

Multiply (x – 2)(3x + 4) using the FOIL method. Select the answer choice showing the FOIL method products.

Korvikt [17]

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Maksim231197 [3]

Answer:

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Step-by-step explanation:

Given

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To solve this, we simply solve for the distance (D) between both points.

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where:

$(x_1,y_1) = (15,13)$

$(x_2,y_2) = (27,9)$

$D = \sqrt{(27 - 25)^2 + (9 - 13)^2}$

$D = \sqrt{(2)^2 + (-4)^2}$

$D = \sqrt{4 + 16}$

$D = \sqrt{20}$

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3 years ago

What is the fraction is less than 5/6 and has denominator of 8?

IrinaVladis [17]

Denominator is the number which appears at the bottom of fraction so the fraction we want is in the form X/8 and also less than 5/6

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