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Debora [2.8K]
3 years ago
15

I need help! This is Geometry lesson 8-3 ! Please help me asap!!!!

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3

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vichka [17]

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            \frac{y}{sin 47}  = \frac{17}{sin 90}

       ysin 90 = 17 sin 47

         y = 12.43ft

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3 years ago
Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she
Effectus [21]
Lets use x as the number of CD's that she will buy in a month. So knowing that, our inequality can look like this. 7 + 10x < or = 100. Why? because we will have to multiply 10 with the number of CDs she will purchase in a month to get the total she spends. Hence 10 times x. She also has to add a 7 membership fee per month to this. Also, she has to remember that what she paid has to be less or equal to 100 because the problem states that she spends no more than 100 a month. 
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The cost of playing golf increases with the number of games played. Identify the independent and dependent quantity in the situa
Viefleur [7K]
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6 0
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1/3 off the regular price of $51
jolli1 [7]

Answer:

34.00

Step-by-step explanation:

because get the discounted price, subtract the discount from the original price. To illustrate this principle, here is an example: to take 1/3 off $36.00, divide 36 by 3 and multiply by 1. This becomes 36/3 x 1 to equal 12, which represents a discount of $12.00

8 0
2 years ago
Which expression is equivalent to 4√6/3
Nookie1986 [14]

Answer:

\frac{4}{3}{\sqrt3}

Step-by-step explanation:

The question seem incomplete;

The full question is

<em>Which expression is equivalent to 4√6/3√2 </em>

<em></em>

Given

4√6/3√2

Required

Find equivalent

4\sqrt6/3\sqrt2

Rewrite Expression

\frac{4\sqrt6}{3\sqrt2}

Expand the above expression

\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}

Further split the fraction

\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}

Using rule of surds;

\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}

So, the above expression becomes

\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}

\frac{4}{3}\ *\ {\sqrt3}

\frac{4}{3}{\sqrt3}

At this stage, the expression cannot be further simplified;

Hence, 4√6/3√2  = \frac{4}{3}{\sqrt3}

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3 years ago
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