Answer:
1. initial point is (2, 4)
reflected point is (-2, 4)
the coordinates are similar because they involve the same numbers, however, with the reflection across the Y axis, the X point became negative.
2. initial point is (2, 4)
reflected point is (2, -4)
again, same numbers but the X value becomes negative
Hope this helps!
The measurement of the given angle is 30 degree.
Here we use trigonometric ratio rule which is sin theta= opposite/hypotenuse
Here theta = 30 degree, opposite =7 and hypotenuse =a
So we get
sin 30 = 7/a
a= 7/sin 30
And value of sin 30 = 0.5
So we get , a = 7/0.5 = 14
So the value of a is 14 .
Tina should make 31 inch tall model to replicate 155 feet tall monument.
Step-by-step explanation:
This problem can be solved by direct unitary methods easily-
Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model
Scale= original dimension/ model dimension
Model is the miniaturised representation of a substance.
The monument is 155 feet tall
Tina replicates it with a scale 1inch: 5 feet
Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.
Hence Tina needs to make 31-inch tall model.
Answer:
You either need two sides and the angle between them or two angles and the side between them. Otherwise, you can construct a family of triangles that include the given pieces.
Step-by-step explanation:
"How do you find the missing sides of a triangle?"
I'm not a mathematician, but it seems to me that no one can find the missing sides (note the plural: "sides") of a triangle by having just one -- or none. You need at least two sides to get an answer...
Given:
The expression is
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D)
To find:
The simplified form of given expression.
Solution:
We have,
It can be written as
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
![\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7B%5Csqrt%5Ba%5D%7Bx%7D%7D%7B%5Csqrt%5Ba%5D%7By%7D%7D%3D%5Csqrt%5Ba%5D%7B%5Cdfrac%7Bx%7D%7By%7D%7D%5Cright%5D)
Therefore, the simplified form of given expression is ![\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
.
Note: We can further simplify this expression but be need use exponential properties.
