Answer:
The measure of angle L is <u>70°</u>.
The trigonometric ratio that uses ∠M and LN to solve for NM is <u>tangent</u>.
The length of NM, to the nearest tenth, is approximately <u>57.7</u>.
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
For every 1000-m increase in altitude, the pressure decreases about 11.9%
so
at an altitude of 2000 m, the pressure decreases about 2*11.9%=23.8%
therefore
Answer: the first number is 11 38/41
The second number is 10 4/41
Step-by-step explanation:
Let x represent the first number.
Let y represent the second number.
4 times one number plus 3 times the other is 78. It means that
4x + 3y = 78- - - - - - - - - -1
3 times the first number minus 8 times the other is -45. It means that
3x - 8y = - 45- - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 4. It becomes
12x + 9y = 234
12x - 32y = - 180
Subtracting, it becomes
41y = 414
y = 414/41
y = 10 4/41
Substituting y = 414/41 into equation 1, it becomes
4x + 3 × 414/41 = 78
4x + 1242/41 = 78
4x = 78 - 1242/41
4x = 1956/41
x = 1956/41 × 1/4
x = 1956/164
x = 11 38/41
Answer:
True
Step-by-step explanation:
Set A contains an element x such that x is an even whole number between 0 and 2 is empty because there is only one whole number between 0 and 2 and that is 1. But 1 is not an even number. There is no even whole number between 0 and 2 therefore Set A = phi
An even number must be divisible by 2 but 1 is not divisible by 2. It is not an even number.
A whole number does not have fractions or decimal part. There is only one whole number between zero and two that is 1 which is not even.
Thus the given statement is true.
Answer:
6 in
Step-by-step explanation:
Let x = the side length of the original square.
They removed 3 in from each side of the original square, so the side lengths of the remaining square are x - 3 in.
The area of the smaller square is (x - 3)².
The area of the original square is x²
I assume the area of the smaller square is ¼ that of the original square. Then
1. Solve for x
2. Calculate the side length of the smaller square
(a) x = 2
Side length = x - 3 = 2 - 3 = -1 in.
IMPOSSIBLE. You can't have a negative side length.
(b) x = 6
Side length of smaller square = 6 - 3 = 3 in.
Side length of original square = x = 6 in
Check:
OK.