The answer is 10/37 because you cannot reduce it anymore
Answer:
Step-by-step explanation:
∠2, ∠3, and ∠4
Answer:
For not exact divisions: Writing the results as Quotient + Remainder over the Divisor.
For exact division: just the quotient.
Step-by-step explanation:
Hi there,
In both algorithms, for long and synthetic divisions we must write the result as an expression following that order:

When the Division leaves no Remainder, i.e. an exact, the Remainder is equal to zero, so

Check below for the algorithms for each division and the way of writing their expressions (results).
Answer:
13 carnations
Step-by-step explanation:
Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.
Understanding
Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.
2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.
(30/5) x 2 =
(6) x 2 = 12 roses
Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5
60/5 = 12 roses
Following this logic for every 6 flowers one is a daisy.
30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies
Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.
30 - 5 - 12 = 13 carnations
Hope this helps,
I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.
Now write the tangent ratios:

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent

Plug in what we know:


