It is 45 degrees
that is your answer
Answer:
A. √3 : 2
D. 3√3 : 6
Step-by-step explanation:
In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°
The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit
The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units
From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side
This is to say if;
The given the shorter leg = 1 unit
The hypotenuse is twice the shorter leg= 2 units
The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg
![=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}](https://tex.z-dn.net/?f=%3D2%5E2-1%5E2%5C%5C%5C%5C%3D4-1%3D3%5C%5C%5C%5C%5C%5Cb%5E2%3D3%5C%5C%5C%5C%5C%5Cb%3D%5Csqrt%7B3%7D)
where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
<u>Hence the summary is</u>
a=shorter leg= 1 unit
b=longer leg = √3 units
c=hypotenuse=2 units
The ratio of longer leg to its hypotenuse is
=√3:2⇒ answer option A
This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A
![=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2](https://tex.z-dn.net/?f=%3D3%5Csqrt%7B3%7D%20%3A6%5C%5C%5C%5C%5C%5C%5Cfrac%7B3%5Csqrt%7B3%7D%20%7D%7B3%7D%20%3A%5Cfrac%7B6%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%3D%5Csqrt%7B3%7D%20%3A2)
Answers are :option A and D
Any real number meaning a number that doesnt have a decimal point behind it would be the correct answer in this cause due to the final answer being 7x=0
Answer:
24
Step-by-step explanation:
600/25
25 goes into 600 24 times
so 600/25 could be reduced to a whole number, 24
Answer:
<h3>
Let's start with the total money needed for basketballs</h3>
The total money the coach will need for 40 basketballs will be 40 times price of one basketball.
Thus we need to find the price of one basketball.
$27 for 3 basketballs
Thus for one basketball,
Which gives us,
'9'.
So for 40 basketballs 40 * $9
Which gives us $360.
<h3>
Now let's find the total money needed for sneakers.</h3><h3>
</h3>
The total money needed for sneakers is 7 times the cost of one sneaker.
So, we need to find the cost of 1 sneaker
which is
which gives us,
$18.
Thus total amount of money needed for sneakers is 9 * $18 which gives us
$162
So total amount the coach has to pay is $360+$162 <em>(total cost of basketballs + total cost of sneakers)</em>
=$552
Therefore, total amount the coach has to pay is $552