Answer:
300 cm³
Step-by-step explanation:
Volume of the glass filled with orange juice:
4/5-2/3= 12/15-10/15= 2/15
2/15 of glass = 40 cm³
Total volume of the glass:
40 cm³ ÷ 2/15= 40 cm³ × 15/2= 300 cm³
Answer: y=4
Step-by-step explanation:
In order to find y axis interception , you need to substitute the x=0 into your equation, by doing this you get 3*2^(0)+1 which is eventually equals to 4
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.
The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758
We can make several two 3-digit numbers from these blocks. An example is listed below:
Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:
1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434
The sum of these two numbers is = 324 + 434 = 758
i.e. equal to the original sum of all blocks.
This way changing the number of blocks in each place value, different 3 digit numbers can be generated.
Answer:
18a(2bc + 3d)
Step-by-step explanation:
36abc + 54ad
Step 1: Find the Highest Common Factor of each
36abc = 2×2×3×3×a×b×c = 18a × 2bc
54ad = 2×3×3×3×a×d = 18a × 3d
HCF = 2×3×3×a = 18a
Step 2: Factor out with HCF
18a(2bc + 3d)
From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure
.
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
we substitute as follows and solve:
Answer: 8.4 cm
