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2 years ago

Find the value of x in the given right triangle

Mathematics

2 answers:

max2010maxim [7]2 years ago

7 0

Answer:

x=10.6

Step-by-step explanation:

from pythagoras theorem we get sin(62)=x/12

sin(62)=.883

after solving this equation we get

.883=x/12

x=10.6

Brrunno [24]2 years ago

4 0

Answer:74

Step-by-step explanation:

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Diano4ka-milaya [45]

Answer:

The answer is 1-x

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3 years ago

Read 2 more answers

Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

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2 years ago

(x-2)e2/3=49<br><img src="https://tex.z-dn.net/?f=%28x%20-%202%29%20%5E%7B2%20%5Cdiv%203%7D%20%20%3D%2049%20" id="TexFormula1" t

fredd [130]

$\bf (x-2)^{2\div 3}=49\implies (x-2)^{\frac{2}{3}}=7^2\implies \stackrel{\textit{raising both sides by }\frac{3}{2}}{\left( (x-2)^{\frac{2}{3}} \right)^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}} \\\\\\ (x-2)^{\frac{2}{3}\cdot \frac{3}{2}}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345$

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What is the slope of this line: y=-4x-9

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Answer:

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Step-by-step explanation:

y=-4x-9

y=mx+b

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3 years ago

A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below ar

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A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below are the dimensions of the rectangle?

Answer

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