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3 years ago

Find the missing lengths of the sides.

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Answer:

b = 8√3 and c = 16

Step-by-step explanation:

Points to remember

If the angles of a right angled triangle with angles are 30°, 60, and 90 the their sides are in the ratio 1 : √3 : 2

To find the unknown side lengths

From the given figure we can see a right angled triangle

Angles are 30°, 60° and 90°

sides are in the ratio 1 : √3 : 2

1 : √3 : 2 = 8 : b : c

b = 8√3 and c = 8 * 2 = 16

Therefore b = 8√3 and c = 16

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HELP!!

Leokris [45]

Answer:

1/2

Step-by-step explanation:

Given:

sinx=-1/2

cosy=√3/2

finding x

x=sin^-1(-1/2)

x=-π/6

x=-30°

finding y

cosy=√3/2

y=cos^-1(√3/2)

y=π/6

y=30°

Now finding cos(x-y)

cos(-π/6-π/6)

=cos(-π/3)

=1/2!

6 0

3 years ago

What is the sum of 1/4 1/8 and 3/8

antiseptic1488 [7]

1/4 + 1/8 + 3/8 = (2*1 +1 +3)/8 = (2+1+3)/8 = 6/8 = 3/4

hope helped

5 0

3 years ago

Read 2 more answers

Select the two values of x that are roots of this equation. 2x+11x+15= 0

Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

The correct quadratic equation is

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^{2} +11x+15=0$

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{121-120}} {4}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1}{4}=-2.5$

$x_2=\frac{-11(-)1}{4}=-3$

therefore

The roots of the equation are x=-3 and x=-2.5

5 0

3 years ago

(please help, im taking an exam rn) Solve for T.

spin [16.1K]

Answer:

(6b+4)/r=t

Step-by-step explanation:

b=(rt-4)/6

multiply by 6

6b=rt-4

add 4

6b+4=rt

divide by r

(6b+4)/r=t

3 0

3 years ago

Read 2 more answers

Please help me!! I will mark brainliest

Annette [7]

I drew it out below (don't you just love my effort? XD)

You're gonna use the sine trig function to find the length of the shadow

sin26 / 1 = 43 / x; now you cross multiply

sin26 x = 43; divide both sides by sin26

x = 43 / sin26

x = 98 which is the shadow

Hope this helps!

6 0

3 years ago