Answer:
8
Step-by-step explanation:
the sum of 5 and 7 is 12
hence, 2/3 x 12 = 8
16.4 ÷ 10 = 1.64
The easiest way to divide decimals by 10 is to move the decimal point by one place to the left. It's the same if you divide by 100, but in that case you move it by two places. It's also similar with 1000, 10000 etc...
It also applies to multiplying, but in such situation you move the decimal point to the right.
So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add that distance to 3 and 4.
By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
So the total distance of her run is 5+4+3=12 km
The scale factor of the given dilation is 3.
Step-by-step explanation:
Step 1:
In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.
Step 2:
So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units.
The scale factor ![=\frac{9}{3} = 3.](https://tex.z-dn.net/?f=%3D%5Cfrac%7B9%7D%7B3%7D%20%3D%203.)
So the scale factor is the third option 3.
Answer:
See attached file
Step-by-step explanation:
There are box-and-whisker plot makers online, but here's one done for you.