What is the sum in simplest form?
4 1/2 + 1 3/5

Answers

Answer 1
Answer:

Answer:

23  1/10

Step-by-step explanation:

Answer 2
Answer:

Final answer:

To find the sum in simplest form of 4 1/2 and 1 3/5, you convert each to an improper fraction, adding the fractions and convert back to a mixed number. The sum is 6 1/10.

Explanation:

The sum in simplest form of the two numbers 4 1/2 and 1 3/5 can be calculated as follows:

  1. Change each mixed number into an improper fraction. 4 1/2 becomes 9/2 and 1 3/5 becomes 8/5.
  2. Then add the two fractions: 9/2 + 8/5 equals 45/10 + 16/10 (after finding a common denominator), which equals 61/10.
  3. Finally, convert back to a mixed number to get 6 1/10.

So, the sum in the simplest form of 4 1/2 and 1 3/5 is 6 1/10.

Learn more about Fraction Addition here:

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A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder make the horizontal if it reaches the sample spot?

Answers

The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93).

Given that,

A 30-ft. ladder makes an angle of 60 degrees with the horizontal.

We have to find,

The angle will a 35ft.ladder make the horizontal if it reaches the sample spot.

According to the question,

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall.

sin\theta = (h)/(30) \nsin60 = (h)/(30) \n

h = 30sin60

Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.

sin\alpha = (30sin60)/(35)\nsin\alpha = (6 sin60)/(7) \n\alpha = sin^(-1)(47.93)

Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93)

For more information about Trigonometry click the link given below.

brainly.com/question/19515865

So first you must find the height at which the "spot" is where the ladder touches the wall...

sin60=h/30

h=30sin60

Now we can find the angle that the 35 ft ladder make when it touches the same spot.

sinα=h/35  and using h we found earlier...

sinα=(30sin60)/35

α=arcsin[(30sin60)/35]

α≈47.93  (α≈47º55'42")

the width of a rectangle is fixed at 8ft. what lengths will make the perimeter at least 200 ft at most 200

Answers

 it will be 2(1+8)<=200

4. A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter.How high is the cylinder?
O A. 8 mm
OB. 14 mm
O C. 16 mm
O D. 18 mm

Answers

Answer: The answer is A, 8 mm.

Step-by-step explanation:

Answer the question ready fast right now​

Answers

Answer:

<eba and <hbi are congruent angles

Step-by-step explanation:

They are vertical angles, therefore congruent

A number line going from negative 10 to positive 10. A point is at negative 6.What is the opposite of the graphed integer?

The opposite is .

Answers

Answer:

6

Step-by-step explanation:

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the answer is 6

your welcome!

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Write an equation in point-slope form for the line through the given point with the given slope.(8, –3); m = -1/4

Answers

Answer:

y+3 = -1/4(x-8)

Step-by-step explanation:

Point slope form is y-y1 = m(x-x1)  where m is the slope and (x1-y1) is a point on the line

(y- -3) =-1/4(x-8)

y+3 = -1/4(x-8)