About 18 inches / 1 foot and 6 inches
If hair grows about 6 inches every year, and we want to find out how much will grow in 3 years, we multiply.
6 x 3 = 18 inches
Then we can simplify it because there are 12 inches in a foot
18/12 = 1 6/12
Answer:
i think the answer is b give me brainliest please
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
The diagram is attached below
TU=TW+WU
x+7=3+WU
WU=x+7-3
WU=x+4
To determine the value of x, we apply the theorem of intersecting chords.
TW X WU = CW X WV
![x(x+4)=6 \times x\\x^2+4x=6x\\x^2=6x-4x\\x^2=2x\\$Divide both sides by x\\x=2](https://tex.z-dn.net/?f=x%28x%2B4%29%3D6%20%5Ctimes%20x%5C%5Cx%5E2%2B4x%3D6x%5C%5Cx%5E2%3D6x-4x%5C%5Cx%5E2%3D2x%5C%5C%24Divide%20both%20sides%20by%20x%5C%5Cx%3D2)
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
Answer:
x = 25
Step-by-step explanation:
According to the hint: The two angle measures would add up to 180°.
![(5x+10)+(2x-5)=180\\\\5x+10+2x-5=180\\\\5x+2x+10-5=180\\\\7x+5=180\\\\7x+5-5=180-5\\\\7x=175\\\\\frac{7x=175}{7}\\\\\boxed{x=25}](https://tex.z-dn.net/?f=%285x%2B10%29%2B%282x-5%29%3D180%5C%5C%5C%5C5x%2B10%2B2x-5%3D180%5C%5C%5C%5C5x%2B2x%2B10-5%3D180%5C%5C%5C%5C7x%2B5%3D180%5C%5C%5C%5C7x%2B5-5%3D180-5%5C%5C%5C%5C7x%3D175%5C%5C%5C%5C%5Cfrac%7B7x%3D175%7D%7B7%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D25%7D)
Hope this helps.