All categories

2 years ago

What is the exact angle between the clock hands at 6:45:00 PM? Plz show work

Mathematics

2 answers:

dedylja [7]2 years ago

6 0

Answer:

90°

Step-by-step explanation:

angle on a straight line=180 and half of 180=90°

WINSTONCH [101]2 years ago

4 0

Answer:

67.5°

Step-by-step explanation:

You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)

Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.

$\frac{45}{60}$ ×5 = 3.75

Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.

$\frac{11.25}{15}$ ×90° = 67.5°

You can refer to the picture for better visualisation of the clock. Hope this helps.

You might be interested in

Solve the system of equations using elimination.

tester [92]

Answer:

y = 16 + 3/11

x = -76/11

Step-by-step explanation:

2y - 5x = -2

3y + 2x = 35

__________

(2y - 5x = -2)*3

(3y + 2x = 35)*2

__________

6y - 15x = -6

6y +4x = 70

__________

(6y - 15x = -6) - (6y +4x = 70)

15x - 4x = -6 -70

__________

11x = -76

x = -76/11

__________

3y +2(-76/11) = 35

3y = 35 + 152/11

3y = 13 + 35 + 9/11

3y = 48 + 9/ 11

y = 16 + 3/11

8 0

3 years ago

Evaluate the following expression when x = -5 and y = 25.

antoniya [11.8K]

Answer:

Step-by-step explanation:

5÷5x and 25÷5

1 × 5

your answer is 5

8 0

2 years ago

Which of the following definitions describe functions from the domain to the codomain given? Which functions are one-to-one? Whi

LenKa [72]

Answer:

a) f is a function. It is not 1-1, it is not onto.
b) g is not a function.
c) h is a function. It is not 1-1, it is onto.
f) h is a function. It is a bijection, and h^-1(x,y)=(y-1,x-1)

Step-by-step explanation:

a) For all x∈ℤ, the number f(x)=x²+1 exists and is unique because f(x) is defined using the operations addition (+) and multiplication (·) on ℤ. Then f is a function. f is not one-to-one: consider -1,1∈ℤ. -1≠1 but f(-1)=f(1)=2- Because two different elements in the domain have the same image under f, f is not 1-1. f is not onto: x²≥0 for all x∈ℤ then f(x)=x²+1≥1>0 for all x∈ℤ. Then 0∈ℕ but for all x∈ℤ f(x)≠0, which means that one element of the codomain doen't have a preimage, so f is not onto.

b) 0∈ℕ, so 0 is an element of the domain of g, but g(0)=1/0 is undefined, therefore g is not a function.

c) Let (z,n)∈ℤ x ℕ. The number h(z,n)=z·1/(n+1) is unique and it's always defined because n+1>0, then h is a function. h is not 1-1: consider the ordered pairs (1,2), (2,5). They are different elements of the domain, but h(2,5)=2/6=1/3=h(1,2). h is onto: any rational number q∈ℚ can be written as q=a/b for some integer a and positive integer b. Then (a,b-1)∈ ℤ x ℕ and h(a,b-1)=a/b=q.

f) For all (x,y)∈ℝ², the pair h(x,y)=(y+1,x+1) is defined and is unique, because the definition of y+1 and x+1 uses the addition operation on ℝ. f is 1-1; suppose that (x,y),(u,v)∈ℝ² are elements of the domain such that h(x,y)=h(u,v). Then (y+1,x+1)=(v+1,u+1), so by equality of ordered pairs y+1=v+1 and x+1=u+1. Thus x=u and y=x, therefore (x,y)=(u,v). f is onto; let (a,b)∈ℝ² be an element of the codomain. Then (b-1,a-1)∈ℝ² is an element of the domain an h(b-1,a-1)=(a-1+1,b-1+1)=(a,b). Because h is 1-1 and onto, then h is a bijection so h has a inverse h^-1 such that for all (x,y)∈ℝ² h(h^-1(x,y))=(x,y) and h^-1(h^(x,y))=(x,y). The previous proof of the surjectivity of h (h onto) suggests that we define h^-1(x,y)=(y-1,x-1). This is the inverse, because h(h^-1(x,y))=h(y-1,x-1)=(x,y) and h^-1(h^(x,y))=h^-1(y+1,x+1)=(x,y).

5 0

2 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

forsale [732]

Answer:

B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.

Step-by-step explanation:

The $\frac{-1}{3}$ is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in $(x+4)^2$ made the function on the graph shift 4 units to the left.

<u>This makes the correct answer be "B."</u>

8 0

2 years ago

= Homework: 6-6 Homework

Vinil7 [7]

Answer:

f(g(x))= 3x+9

Step-by-step explanation:

f(g(x)) means that you need to take the function g and plug that function into f for x. So g(x) which is x+4 will be plugged into f(x)=3x-3.

So what you get is 3(x+4)-3

If you distribute the positive three, you will get 3x+12-3 and your answer will be 3x+9.

f(g(x)) can also be written as (fog)(x)

fog just means f composite g or f of g of x

For g(f(x)), it will be the same concept as above. However, this time you will be plugging in f(x) into g(x) and I will let you do g(f(x))

4 0

2 years ago