Step-by-step explanation:
By Geometric mean property:
![{y}^{2} = 4 \times 12 \\ \therefore \: {y}^{2} = 48 \\ \therefore \: {y} = \sqrt{48} \\ \therefore \: {y} = \sqrt{16 \times 3} \\ \huge \red{ \boxed {\therefore \: {y} = 4\sqrt{3} }}](https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%3D%204%20%5Ctimes%2012%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%7By%7D%5E%7B2%7D%20%20%3D%2048%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%7By%7D%20%3D%20%20%5Csqrt%7B48%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%7By%7D%20%3D%20%20%5Csqrt%7B16%20%5Ctimes%203%7D%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%20%7B%5Ctherefore%20%5C%3A%20%20%7By%7D%20%3D%20%204%5Csqrt%7B3%7D%20%7D%7D)
Thus, option A) 4√3 is the correct answer.
Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
You have posted 2 separate questions here. Please, next time, separate them with a blank line:
<span>A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?
I'd prefer you write this as
"</span><span>A circle has an area of 81 pi units . what is the diameter in terms of pi?
Area of a circle = A = pi*r^2. Note that r= diameter / 2. Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units. The diameter is then 2(9 units) = 18 units.
Your second question, separated from the first, is:
"</span><span>a circle has an area of 81 Pi square units what is the diameter of the circle?"
</span><span>
Use the following formula or formulas: d = 2*r; A = pi*r^2; A = pi*(d/2)^2. Find r first, and then find d.
</span>
Ginny needs
cups of sugar to make 36 cookies.
Step-by-step explanation:
Given,
Sugar cups required for 24 cookies = ![1\frac{1}{2}=\frac{3}{2}\ cups](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D%5C%20cups)
Ratio of sugar cups to cookies = ![\frac{3}{2}:24](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3A24)
Let,
x be the number of cups needed for 36 cookies.
Ratio of sugar cups to cookies = ![x:36\\](https://tex.z-dn.net/?f=x%3A36%5C%5C)
Using proportion;
Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies
![\frac{3}{2}:24::x:36](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3A24%3A%3Ax%3A36)
Product of mean = Product of extreme
![24*x=\frac{3}{2}*36\\24x=54](https://tex.z-dn.net/?f=24%2Ax%3D%5Cfrac%7B3%7D%7B2%7D%2A36%5C%5C24x%3D54)
Dividing both sides by 24
![\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B24x%7D%7B24%7D%3D%5Cfrac%7B54%7D%7B24%7D%5C%5Cx%3D%5Cfrac%7B9%7D%7B4%7D%5C%5Cx%3D2%5Cfrac%7B1%7D%7B4%7D)
Ginny needs
cups of sugar to make 36 cookies.
Keywords: fraction, proportion
Learn more about fractions at:
#LearnwithBrainly
Answer:
m= -5/6
Step-by-step explanation: