A, B and D are already rational numbers, 0.4 itself is a rational number, two rational numbers make a product of rational number.
So A, B, D are the correct choices.
Are you sure it asks for rational numbers, not irrational number?
Answer:
first do 58-4 which is 54 then do 54/ 9 which is 6 so the number is 6
Answer:
Step-by-step explanation:
14 = -7w/8
Cross multiply
-7w = 14 × 8
-7w = 112
w = 112/-7
w = -16
A percentage is a way to describe a part of a whole. The missing percent on the bar model is equal to 12.5%.
<h3>What are Percentages?</h3>
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
On the percent bar model, above the missing percentage, the fraction is given as 1/8.
Now, the given fraction 1/8 in the form of percentage can be written as,
1/8
= 1/8 × 100%
= 0.125 × 100%
= 12.5%
Hence, the missing percent on the bar model is equal to 12.5%.
Learn more about Percentages here:
brainly.com/question/6972121
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Answer:
![BC=11\ cm](https://tex.z-dn.net/?f=BC%3D11%5C%20cm)
Step-by-step explanation:
step 1
Find the measure of the arc DC
we know that
The inscribed angle measures half of the arc comprising
![m\angle DBC=\frac{1}{2}[arc\ DC]](https://tex.z-dn.net/?f=m%5Cangle%20DBC%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20DC%5D)
substitute the values
![60\°=\frac{1}{2}[arc\ DC]](https://tex.z-dn.net/?f=60%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20DC%5D)
![120\°=arc\ DC](https://tex.z-dn.net/?f=120%5C%C2%B0%3Darc%5C%20DC)
![arc\ DC=120\°](https://tex.z-dn.net/?f=arc%5C%20DC%3D120%5C%C2%B0)
step 2
Find the measure of arc BC
we know that
----> because the diameter BD divide the circle into two equal parts
step 3
Find the measure of angle BDC
we know that
The inscribed angle measures half of the arc comprising
![m\angle BDC=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=m%5Cangle%20BDC%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)
substitute the values
![m\angle BDC=\frac{1}{2}[60\°]](https://tex.z-dn.net/?f=m%5Cangle%20BDC%3D%5Cfrac%7B1%7D%7B2%7D%5B60%5C%C2%B0%5D)
![m\angle BDC=30\°](https://tex.z-dn.net/?f=m%5Cangle%20BDC%3D30%5C%C2%B0)
therefore
The triangle DBC is a right triangle ---> 60°-30°-90°
step 4
Find the measure of BC
we know that
In the right triangle DBC
![sin(\angle BDC)=BC/BD](https://tex.z-dn.net/?f=sin%28%5Cangle%20BDC%29%3DBC%2FBD)
![BC=(BD)sin(\angle BDC)](https://tex.z-dn.net/?f=BC%3D%28BD%29sin%28%5Cangle%20BDC%29)
substitute the values
![BC=(22)sin(30\°)=11\ cm](https://tex.z-dn.net/?f=BC%3D%2822%29sin%2830%5C%C2%B0%29%3D11%5C%20cm)