Answer:
4√3 according to khan academy
Step-by-step explanation:
Answer:
![6\sqrt{5}](https://tex.z-dn.net/?f=6%5Csqrt%7B5%7D)
Step-by-step explanation:
In any right triangle, the Pythagorean theorem states:
, where
and
are two legs of the triangle and
is the hypotenuse.
Plugging in given values, we have:
![12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=\sqrt{180}=\sqrt{36}\cdot \sqrt{5}=\boxed{6\sqrt{5}}](https://tex.z-dn.net/?f=12%5E2%2BVU%5E2%3D18%5E2%2C%5C%5C144%2BVU%5E2%3D324%2C%5C%5CVU%5E2%3D180%2CVU%3D%5Csqrt%7B180%7D%3D%5Csqrt%7B36%7D%5Ccdot%20%5Csqrt%7B5%7D%3D%5Cboxed%7B6%5Csqrt%7B5%7D%7D)
Answer:
Andre's height: y < x < 164
Step-by-step explanation:
We will first of all convert each of the statements to mathematical inequalities, before we combine them.
Let Andre's height be = x
Lin's height be = y
The maths teacher's height = 164
Andre is a little taller than Lin:
x > y
Andre is shorter than their maths teacher, who is 164 centimetres
x<164
Combining the two inequalities, we have Andre's height as
y < x < 164
This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.
Answer:
38
Step-by-step explanation:
To find the radius of a circle you multiply the diameter by 38
(to find the diameter, you divide the radius by 2)
The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>
The value of x is calculated using the following sine trigonometry ratio
![\sin(25) =\frac{5}{x}](https://tex.z-dn.net/?f=%5Csin%2825%29%20%3D%5Cfrac%7B5%7D%7Bx%7D)
Make x the subject
![x =\frac{5}{\sin(25)}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B5%7D%7B%5Csin%2825%29%7D)
This gives
![x =11.8310](https://tex.z-dn.net/?f=x%20%3D11.8310)
Hence, the value of x is 11.8310
<h3>Question 2</h3>
This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio
![\tan(25) =\frac{h}{50}](https://tex.z-dn.net/?f=%5Ctan%2825%29%20%3D%5Cfrac%7Bh%7D%7B50%7D)
Make h the subject
![h = 50 \times \tan(25)](https://tex.z-dn.net/?f=h%20%3D%2050%20%5Ctimes%20%5Ctan%2825%29)
This gives
![h = 23.3154](https://tex.z-dn.net/?f=h%20%3D%2023.3154)
Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>
This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio
![\tan(37) =\frac{h}{500}](https://tex.z-dn.net/?f=%5Ctan%2837%29%20%3D%5Cfrac%7Bh%7D%7B500%7D)
Make h the subject
![h = 500 \times \tan(37)](https://tex.z-dn.net/?f=h%20%3D%20500%20%5Ctimes%20%5Ctan%2837%29)
This gives
![h = 376.7770](https://tex.z-dn.net/?f=h%20%3D%20376.7770)
Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
brainly.com/question/6241673