We are told in the question that 1 carat is equal to 200 mg.
The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:
![\frac{200mg}{1 carat}* \frac{44.5 carats}{1}=8,900 mg](https://tex.z-dn.net/?f=%20%5Cfrac%7B200mg%7D%7B1%20carat%7D%2A%20%5Cfrac%7B44.5%20carats%7D%7B1%7D%3D8%2C900%20mg%20%20)
The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:
![\frac{8,900mg}{1000}=8.9grams](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2C900mg%7D%7B1000%7D%3D8.9grams%20)
Now we know that
the weight of the Hope Diamond is equal to 8.9 grams.
Answer:
for #1 its the 1st and 4th box
for # 2 it's 13.5 and 20.25
Step-by-step explanation:
1st box - 10 ÷ 5 = 2 and 25 ÷ 5 = 5
4th box - 10 x 2 = 20 and 25 x 2 = 50
you have to make sure that you do the same thing for both sides of the equation
6 x 2.25 = 13.5
9 x 2.25 = 20.25
Dilation is an enlarging or shrinking of a math figure using a specific scale factor
multiply your numbers by that given scale factor to give you your answer of option 2
hope this is right I'm not completely positive about the send one.
9514 1404 393
Answer:
- central: XWR, VWU
- inscribed: VST
Step-by-step explanation:
Point W is the center of the circle. Any angle with W as its vertex is a central angle:
angles XWR and VWU are central angles
Any angle with its vertex on the circle and rays that intersect the circle is an inscribed angle.
angle VST is an inscribed angle