Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
This is a 30-60-90 triangle and we can apply rules to easily identify the hypotenuse of this triangle, which is denoted by <em>x</em>.
The length of the longer side of the triangle is given in the problem. To solve the hypotenuse of this triangle, let's solve first for the length of the shorter side of the triangle.
The shorter side can be solved by just dividing the length of the longer side by the square root of 3. Hence, we have
![short=\frac{4}{\sqrt[]{3}}](https://tex.z-dn.net/?f=short%3D%5Cfrac%7B4%7D%7B%5Csqrt%5B%5D%7B3%7D%7D)
Since we already have the values for the length of the shorter side and longer side, we can solve for the hypotenuse using the Pythagorean theorem.
![\begin{gathered} c=\sqrt[]{a^2+b^2} \\ c=\sqrt[]{4^2+(\frac{4}{\sqrt[]{3}})^2} \\ c=\sqrt[]{16+\frac{16}{3}} \\ c=\sqrt[]{\frac{64}{3}} \\ c=\frac{8}{\sqrt[]{3}}\cdot\frac{\sqrt[]{3}}{\sqrt[]{3}} \\ c=\frac{8\sqrt[]{3}}{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B4%5E2%2B%28%5Cfrac%7B4%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%29%5E2%7D%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B16%2B%5Cfrac%7B16%7D%7B3%7D%7D%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B%5Cfrac%7B64%7D%7B3%7D%7D%20%5C%5C%20c%3D%5Cfrac%7B8%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%5Ccdot%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csqrt%5B%5D%7B3%7D%7D%20%5C%5C%20c%3D%5Cfrac%7B8%5Csqrt%5B%5D%7B3%7D%7D%7B3%7D%20%5Cend%7Bgathered%7D)
Hence, the value of hypotenuse for this right triangle is
![x=\frac{8\sqrt[]{3}}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%5Csqrt%5B%5D%7B3%7D%7D%7B3%7D)
"As shown" ? You have a picture to work with but you're not sharing it ?
Fortunately, the question includes all the information that's needed to answer it,
so I don't need to see the picture.
The volume of a cylinder is (pi) x (radius)² x (height) .
Radius = 1/2 of the diameter = 15 mm
Volume = (pi) x (15 mm)² x (30 mm) = 6,750 pi mm³ = 21,205.75 mm³ .
That's a correct answer, but the number is slightly awkward and inconvenient. Let's
change it to a bigger unit, so the number will be smaller and easier to carry around.
Remember that 10 mm = 1 cm
So (10 mm)³ = 1,000 mm³ = 1 cm³
and 21,205.75 mm³ = 21.20575 cm³
Answer:
40°
Step-by-step explanation:
As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.
Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.
Answer:
-4
Step-by-step explanation:
