Let us say that the numbers are x and y. The given clues
are:
1. x – y = 16 (so
x is the larger number)
2. y / x = 5 / 7
rewriting eqtn 2 in terms of y:
y = (5/7) x
combining 1 and 2:
x – (5/7) x = 16
(2/7) x = 16
x = 56
y = (5/7) x = 40
So the two numbers are 56 and 40.
Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:

Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:

Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:

Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
Answer:
1/5,3/10
Step-by-step explanation:
just look at the picture
Answer:
Perimeter: 22cm Area: 24cm^2
Step-by-step explanation:
To find perimeter we add all the sides together. There are two missing sides in this picture.
The bottom one is found by adding the two top lines 4 + 2 = 6
The one on the right can be found by subtracting the left line and the given right line 5 - 2 = 3.
Now we have all the lines, add them together we get 22cm!
Now, there are two ways to find the area. Of course I’m going to show the one I prefer.
Imagine the chunk in the top right is not missing; what would the area of the rectangle be? 30cm^2
And now what’s the area of the missing chunk?
Our given line multiplied by the one we calculated for: 6cm^2
Now subtract the whole rectangle minus the piece we are missing 30 - 6 = 24cm^2
Answer:
r=C2
Step-by-step explanation:
C=2r is the equation to find circumference
She needs to work backwards in this case, so:
r=C2
r=The circumference she knows x 2 x 3.14(or 3.14159265359)
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<h3><u><em>I would recommend writing/typing all of this(Especially if you need to show you work)!</em></u></h3>
<em><u>I hope this helped!</u></em>
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