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3 years ago

In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

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Solve for x, in terms of y: 2/3x + 1/5y = 2

lakkis [162]

Answer:

x = 3 - 3/10y

Step-by-step explanation:

2/3x + 1/5y = 2

Subtract 1/5y from each side

2/3x + 1/5y -1/5 y= 2-1/5 y

2/3x = 2-1/5y

Multiply by 3/2 to isolate x

3/2 * 2/3x = 3/2 (2-1/5y)

x = 3/2 (2-1/5y)

Distribute the 3/2

x = 3 - 3/10y

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3 years ago

Dora, the school lunch manager, says that it takes 225 oranges to make 5 gallons of orange juice how many oranges does Dora need

ad-work [718]

Answer:

Step-by-step explanation:

Since

5 : 225 = 1 : X

Then we know

225/5 = X/1

Multiplying both sides by 1 cancels on the right

1 × (225/5) = (X/1) × 1

1 × (225/5) = X

Then solving for X

X = 1 × (225/5)

X = 45

Therefore

5 : 225 = 1 : 45

3 0

3 years ago

Read 2 more answers

I have two quarters and<br>a dime. How much more<br>money is needed to make<br>$1.00?

kaheart [24]

Answer:

you need 40 more cents to have a dollar.

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3 years ago

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Which expression is equivalent to t2 – 36?

defon

Answer:

(t + 6)(t - 6)

Step-by-step explanation:

(t - 6)(t + 6)

(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)

= t² - 6t + 6t - 36

= t² - 36

so,

t² - 36 = (t + 6)(t - 6)

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2 years ago

Can you do this please need it done by midnight<br><br>

deff fn [24]

<h3><u>Answer:</u></h3>

$\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}$

<h3><u>Step-by-step explanation:</u></h3>

In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.

And these two are co - interior angles . And sum of co - interior angles is 180°.

Hence , here

$\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}$

<h3><u>Hence the value of x is 24°</u><u>.</u></h3>

$\rule{200}2$

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3 years ago