Answer:
A and D
Step-by-step explanation:
Since tangent is opposite/adjacent,
Tan 40 in this case would be x/3.8 (i used x because we don't know what the value is)
So, you set it up as an algebra problem
Tan40 = x/3.8
Multiply both sides by 3.8
3.8tan40 = x, Option A
And then, angle E is 50 degrees
So tan 50 = 3.8/x
Multiply both sides by x
tan50x = 3.8
Divide both sides by tan50
x= 3.8/tan50
So, A and D are both correct
Answer:
= 30 km
Step-by-step explanation:
12.5 * 240/100
<em><u>= 30 km</u></em>
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
Answer:
B)
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of
would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be
× perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' =
* x units
=
x units
Answer:
Closure property
Step-by-step explanation:
The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.
For is

is a polynomial.

is also a polynomial.
The sum of the two polynomials is

The result:

is also a polynomial.