for any fraction a/b, the decimal format of it is just a ÷ b.
A)
is the number rational?
well, a rational number is one we can write as a ration or fraction, well clearly is a fraction so it is rational.
B)
can it be written as a repeating/recurring decimal? well, 9/20 is 0.45, so -9/20 is -0.45, no repeating decimal like 0.454545......... , just a plain vanilla -0.45, so nope.
C)
is it less than -0.4?
well, let's recall that for the negative side on the number line, the closer to 0, the larger the number, so then -1,000,000 is much smaller than -1, because -1 is closer to 0.
who is closer -0.4 or -0.45?
|--------------------- -0.45 -------- -0.40 ------------------- 0 --------------- 1 -------------------|
so, -0.45 is farther from 0, and therefore is smaller than -0.4, so yes.
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
Answer:
700 km
Step-by-step explanation:
Distance covered by Bunty = 500 km
Distance covered by Bubbly = 200 km
Displacement between them = 500 + 200 km = 700 km
This means Bubbly has to cover a distance of 700 km to reach Bunty.
To find the average number of customers for dinner, use the simple ratio of 5 lunch customers for every 8 dinner customers.
Because there are 40 lunch customers, this is eight groups of five lunch customers. This means you will need 8 groups of 8 dinner customers to make it equivalent.
8 x 8 = 64
There is an average of 64 customers for dinner.
The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).