Answer:
Step-by-step explanation:
we know that
Triangles MNP and MAB are similar by AAA theorem
If two figures are similar, then the ratio of its corresponding sides is equal
so
substitute the values
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
Answer:
D) 1541
Step-by-step explanation:
I like to answer it w without deriving the formula of f(g(x)). So, we go this way, you firstly have to find g(7) which will be equal to 3 * 7 - 5 = 16.
And then you find f(16) = 6*16*16+5 = 1541. That's all.
Answer:
A. 7.5% :)
Step-by-step explanation:
To solve this, we need to find the LCM (Least Common Multiple) for 3 and 4 to have common denominator. 3 x 4 is 12.
So let us keep in mind 1 in this case is 12/12, and 2 is 24/12
2 of 2 1/3 is 24/12.
Let us find out 1/3
12 divided by 3 is 4, so we multiply both sides by 4.
1/3 x 4/4 is 4/12. 4/12 plus 24/12 is 28/12 equaling 2 and 4/12, or , if you simplified, 2 and 1/3
Now to find 1 and 3/4
1 is 12/12, and the easiest way to find 3/4 is to do 1/4 x 3 or 4/4 - 1/4. (I'm doing the first way)
12 divided by 4 is 3. we times both sides by 3. 1/4 x 3/3 = 3/12. since 3/4 is 1/4 x 3/1, we multiply 3/12 by 3/1, which equals 9/12.
1 (12/12) plus 3/4 (9/12) equals 21/12, or 1 and 3/4 simplified
Now we add 2 1/3 (28/12) by 1 3/4 (21/12) , we get 4 and 1/12 (simplest form/simplified) or 49/12
Answer is 49/12 or 4 and 1/2
:)
