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Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
Answer:
Step-by-step explanation:
we have that
The scale drawing is
we know that
Using proportion find out the actual dimensions of the volleyball court
Let
x -----> drawing court lengths in cm
y ----> court lengths in cm
For x=40 cm
For x=80 cm
Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
For x=40 cm, y=900
substitute
-----> 
The equation is
Answer:
9/16
Step-by-step explanation:
First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:
volume ratio = dimension ratio ^3
surface area ratio = dimension ratio ^2
The volume ratio between small prism and the large prism is 27 / 64.
To find the dimensions ratio, we need to take the cubic root of the volume scale:
dimension ratio = 3√(27/64) = 3/4
Now, to find the surface area ratio, we just need to make the square of the dimension ratio:
surface area ratio = (3/4)^2 = 9/16
Answer:
Step-by-step explanation:
buys it for $ 45
well...you know the business is gonna want to make a profit...so they would have to sell it for more then they bought it for.
I would say $ 60 or $ 80
The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
