Answer:
12.3 feet.
Step-by-step explanation:
As we are given that
is an right angled triangle.

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.
By using Trigonometric functions in a right angled
, we know that:

Here,
is
, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.
So, 

Putting the values of <em>PN </em>and
.

Hence, the value of <em>OP </em>is
.
Answer:
4.5 hours
Step-by-step explanation:
8:2h = 18:x
8x = 18×2h
x = 36h/8
x = 4.5
hope this helps :)
Answer:
Step-by-step explanation:
(x - 4)
What you are being asked to do is find the exact same binomial in the top as is in the bottom.
But there's a small catch. You must stipulate that x cannot equal 4. If it does, then you will get 0/0 which is undefined. You can't have that happening -- not at this level.
Any other value for x is fine.
The weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4
<h3>What is the ratio?</h3>
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles was 3:4
Let 3x and 4x are the seeds from the smaller and bigger pile.
= 4x + 2 (greedy hamster placed another 2 pounds of seeds in the bigger pile)
= 3x - 1/4 (ate 1/4 pound from the smaller pile)
4x + 2 = 5x
Because the quantities of seeds in those piles is in the ratio of 5:16
After solving:
x = 2
Smaller pile weight = 3x = 3(2) = 6
Bigger pile wieght = 4x = 4(2) = 8
Thus, the weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ1
Answer:
f(x - 7) - 4
Translation: < 7 , -4 >
Step-by-step explanation:
x^2+y^2=1
Centre: (0,0)
(x-7)^2 + (y+4)^2 = 1
Centre: (7,-4)
Translation: < 7 , -4 >
If the first function is f(x), the transformed function is:
f(x - 7) - 4