1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oksian1 [2.3K]
3 years ago
9

What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9

0° C. 120° D. 72°
Mathematics
1 answer:
Kruka [31]3 years ago
8 0
A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A


You might be interested in
1 1/5 is 6% of what number?
Ksenya-84 [330]

Answer:

36.67

Step-by-step explanation:

11/5=2.2

let the unknown no be x

6% of x=2.2

6/100 * x = 2.2

6x = 2.2*100

x = 220/6

x= 36.67

7 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 3/ square root of 3x + 4
Elis [28]
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.

If f(x) = 3/SQRT(x+4) and g(x) = 3x

f(g(x)) then = 3/SQRT(3x+4), but rationalizing this = 3SQRT(3x+4)/(3x+4)

3 0
3 years ago
Read 2 more answers
Please help me with this question!
Rasek [7]

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

5 0
3 years ago
Read 2 more answers
Solve for x round to the nearest tenth
lidiya [134]

Answer:

47.0

Step-by-step explanation:

In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.

Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.

Hence, we have tan62°=x/25

We cross multiply, to have

25(tan 62°)= x

x = 47.01816

In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.

Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.

So we have 47.0

3 0
3 years ago
Solve. 3(x-6)-2(2x+3)=14
coldgirl [10]

Answer:

x=-38

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)−2(2x+3)=14

(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)

3x+−18+−4x+−6=14

(3x+−4x)+(−18+−6)=14(Combine Like Terms)

−x+−24=14

−x−24=14

Step 2: Add 24 to both sides.

−x−24+24=14+24

−x=38

Step 3: Divide both sides by -1.

−x

−1

=

38

−1

x=−38

5 0
3 years ago
Read 2 more answers
Other questions:
  • Samuel is 5/8 inch taller than Jackie, Shelly is 0.7 inch taller than Jackie, Craig is 1/2 inch taller than Jackie, who is the t
    13·1 answer
  • Write an equation that represents each mixed number as a sum of whole numbers and unit fractions. 1/ 5/6
    15·1 answer
  • My dividend is 8 times as large as my divisor I'm an even number less than 15 what quotient am I
    6·2 answers
  • The perimeter of a rectangular floor is 50 feet. find the dimensions of the floor if the length is four times the width.
    12·1 answer
  • Does anyone know? take ur time and its ok if u dont
    13·2 answers
  • What is the product of this following expression (3x +6)`2
    9·2 answers
  • Answer ittt i bet ya can'tttt
    11·1 answer
  • What is 100/7 divided by 4 1/3 simplified if you answer thank you and happy holidays
    12·1 answer
  • An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake
    6·1 answer
  • Laura has already baked 9 pies, and she can
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!