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4 years ago

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics

2 answers:

Hitman42 [59]4 years ago

5 0

The longer side of the shape is 25

777dan777 [17]4 years ago

5 0

leg = sin(60) x 30 = 25.98 round answer as needed

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Find the measure of each internal angle of the triangle!!!!!

defon

Answer:

x=35

'x-10'=25 degrees

'x'=35 degrees

The last one is 120 degrees

Step-by-step explanation:

A straight line is 180 degrees

180-60=120

2x+110=180

2x=70

x=35

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3 years ago

When a sunfloweris 2 weeks old it is 38 centimeters tall when it is 6 weeks old it is 114 cm tall how tall is it when it is 3 ½

Anna11 [10]

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x = 3.5 wk x 38 cm
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3 years ago

The rectangle shown has a perimeter of 48 cm and the given area. Its length is 6 more than twice its width. Write and solve a sy

melamori03 [73]

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of the rectangle is

$P=2(x+y)$

we have

$P=48\ cm$

$48=2(x+y)$ ------> equation A

$x=2y+6$ ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

Find the value of x

x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

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4 years ago

Here's a graph of a linear function. Write the equation that describes that function. Express in slope-intercept form.

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Y=1/3x-1. i’m not sure what point slope is but that’s slope intercept.

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3 years ago

Sin^2(x/2)=sin^2x <br> Find the value of x

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$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

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3 years ago