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2 years ago

What are the values of x and y? Figure and answers shown below.

Mathematics

2 answers:

pshichka [43]2 years ago

4 0

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

sleet_krkn [62]2 years ago

4 0

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

The amount of water in a bottle is reduced by 85% to 120 ml. How much water was originally in the bottle?

IRINA_888 [86]

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3 years ago

Find the x-intercept and the<br> y-intercept from the following linear equation:<br> 9x+3y=27

laiz [17]

X-intercept is 4 and yintecept is9

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3 years ago

Im feeling a little stuck. could someone help me please?

bearhunter [10]

Answer:

it is the same on the other side

Step-by-step explanation:

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2 years ago

Question 20 not yet answered marked out of 1.00 not flaggedflag question question text luna created a trash can in the shape of

Alex Ar [27]

Consider the triangle with sides a=1.6, b=2.3 and c=1.2 feet. You can use cosine theorem twice to find two unknown angles:

$b^2=a^2+c^2-2ac\cos \angle B,\\ (2.3)^2=(1.6)^2+(1.2)^2-2\cdot 1.6\cdot 1.2\cos \angle B,\\ 5.29=2.56+1.44-3.84\cos \angle B,\\ 3.84\cos \angle B=4-5.29=-1.29,\\\cos \angle B=-\dfrac{1.29}{3.84} =-0.336$

Then you can conclude that ∠B is obtuse (because $\cos \angle B$ ) and m∠B=110°.

$c^2=a^2+b^2-2ab\cos \angle C,\\ (1.2)^2=(1.6)^2+(2.3)^2-2\cdot 1.6\cdot 2.3\cos \angle C,\\ 1.44=2.56+5.29-7.36\cos \angle C,\\ 7.36\cos \angle C=7.85-1.44=6.41,\\\cos \angle C=\dfrac{6.41}{7.36} =0.871$ .

Then you can conclude that ∠C is acute (because $\cos \angle C>0$ ) and m∠C=29°.

3. m∠A+m∠B+m∠C=180°, then m∠A=180°-110°-29°=41°.

Answer: m∠A=41° (∠A is opposite to the side a=1.6), m∠B=110° (∠B is opposite to the side b=2.3) and m∠C=29° (∠C is opposite to the side c=1.2)

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3 years ago