Answer:
The number is 40.
Step-by-step explanation:
Let the number be x.
Given the statement: Five times a number plus four times the same number is equal to 360.
"Five times a number" means 5x
"Four times the same number" means 4x
Then, as per the given information we have;
Combine like terms;
9x = 360
Divide both sides by 9 we get;
x = 40
Therefore, the number is, 40.
{(-2,1),(-1,3),(2,1),(-2,2)}
{(-1,4),(1,4),(2,4),(-2,4)}
{(-1,3),(-1,4),(-1,5),(-1,6)}
{(2,2),(3,3),(4,4),(2,1)}
Use complete sentences to describe the relationship between sets A and B if A is a subset of or is equal to B.
A = {8}
B = {7, 8, 9}
Which of the following properties is a(b · c) = (a · b)c an example of?
associative property
commutative property
multiplicative identity
distributive property
Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is
m, a, e, i, o, u, t, h
the empty set
i
a, e, i, o, u, y
If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is
{(7, -1),(2, -8),(0, 0),(6, 6)}
{-8, -1, 0, 6}
{0, 2, 6, 7}
Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C.
{}
{a}
{a, b, e, g, h, l, m, r, t, y}
If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?
Set A has more elements in it than set B.
Set A is the set containing zero.
Set A is the empty set.
Both sets A and B are the empty set.
Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
{}
{a,e}
{a, b, e, g, i, l, o, r, u}
Which of the following properties is 5(3 + 2) = 15 + 10 an example of?
associative property
commutative property
multiplicative identity
distributive property
Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5).
-6
6
8
List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0}
{-6, -5, -4, -3, -2, -1, 0}
{-6, -5, -4, -3, -2, -1}
{-5, -4, -3, -2, -1}
B.15 + 12 – x
C.15 • 12 – 15x
D.15 • 12 – x
Answer:
d
Step-by-step explanation:
A: 6.5
B: 3
C: 3.5
D: 1
E: 5
F: 4
In right triangle XYZ, _X and Z are complementary angles and cos(x)is 11. What is sin(Z)?
9
OA.
B. 1/2
11
mus 网。
C.
20
9
20
11
D.
Reset
Next
Answer:
A
Step-by-step explanation:
Using the cofunction identity
cos(90 - x) = sinx , or
sin(angle) = cos(complement of angle)
x and z are complementary angles , x + z = 90 , then
sinz = cosx =
In right triangle XYZ, if X and Z are complementary and cos(X) is 11, sin(Z) should be 11 as well. Nevertheless, the cosine of an angle in a standard triangle can't exceed 1 in absolute value, suggesting an error in the provided data.
In a right triangle, if two angles are complementary, their sum equals 90 degrees. In the case of right triangle XYZ, angles X and Z are complementary. This means that angle Z is the complement of angle X. In trigonometry, the sine of an angle is equal to the cosine of its complement.
Therefore, sin(Z) = cos(X).
Given that cos(X) is 11, it follows that sin(Z) is also 11. However, it is essential to point out that the cosine of an angle can't exceed 1 in absolute value in a standard triangle, so there might be a misprint or misunderstanding in the problem. If cos(X) falls within a valid range, then sin(Z) should equal cos(X).
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Answer:
40,200 gallons
Step-by-step explanation: