Answer:
Step-by-step explanation:
B + 2C
= w + 10 + 2(-w - 1)
= w + 10 -2w - 2
= -w + 8
Answer:
Step-by-step explanation:
The correct answer would actually be 15 because (-5) multiplied by -3 makes it positive 15.
The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.
<h3>What is a rotation in math?</h3>
Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.
Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.
Learn more about translation at:
brainly.com/question/1574635
#SPJ1
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:
![V = \frac{2\pi}{3}\cdot R^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%5Ccdot%20R%5E%7B3%7D)
Where
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:
![R = 0.5\cdot D](https://tex.z-dn.net/?f=R%20%3D%200.5%5Ccdot%20D)
(
)
![R = 0.5\cdot (35\,cm)](https://tex.z-dn.net/?f=R%20%3D%200.5%5Ccdot%20%2835%5C%2Ccm%29)
![R = 17.5\,cm](https://tex.z-dn.net/?f=R%20%3D%2017.5%5C%2Ccm)
Now, we get the volume of each hemispherical bowl:
![V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Ccdot%20%2817.5%5C%2Ccm%29%5E%7B3%7D)
![V \approx 11224.649\,cm^{3}](https://tex.z-dn.net/?f=V%20%5Capprox%2011224.649%5C%2Ccm%5E%7B3%7D)
The total volume of six hemispherical bowl is:
![V_{T} = 6\cdot V](https://tex.z-dn.net/?f=V_%7BT%7D%20%3D%206%5Ccdot%20V)
![V_{T}= 6\cdot (11224.649\,cm^{3})](https://tex.z-dn.net/?f=V_%7BT%7D%3D%206%5Ccdot%20%2811224.649%5C%2Ccm%5E%7B3%7D%29)
![V_{T} = 67347.894\,cm^{3}](https://tex.z-dn.net/?f=V_%7BT%7D%20%3D%2067347.894%5C%2Ccm%5E%7B3%7D)
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
![V_{T} = 67.348\,L](https://tex.z-dn.net/?f=V_%7BT%7D%20%3D%2067.348%5C%2CL)
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Answer:
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Step-by-step explanation: