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4 years ago

How can you rewrite 3 1/2 +2+4 1/2

2 answers:

4 0

I'm not sure in which way you want to rewrite it but if you want it in mixed fractions then the answer would be 7/2+2+9/2 and if you want the answer of the equation then it would be 12. Sorry I could probably be more helpful if you would say in which way you want it written.

prohojiy [21]4 years ago

3 0

You could group the numbers with the common denominator and that is 3 1/2 and 4 1/2. So you could make it (4 1/2 + 3 1/2) + 2

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A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and

hammer [34]

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

3 0

3 years ago

Jason is buying fruit at the grocery store to make a fruit salad for his company party. For the fruit salad he needs the ingredi

tekilochka [14]

Answer:

82.8 for the strawberries

2.49 for the bannanna

44.8 for the grapes

35.76 for the oranges

The total is 165.85

Step-by-step explanation:

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3 years ago

An angle made with two radii whose vertex is at the center of a circle is the definition of what

Katena32 [7]

Answer: congruent central angles

Step-by-step explanation:

A central angle is an angle formed by two radii with the vertex at the center of the circle. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. In a circle, or congruent circles, congruent central angles have congruent arcs.

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3 years ago

Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.

nika2105 [10]

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

<h3>How to determine the ratio of the areas?</h3>

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

White = 64x²
Circle = 16πx²
Gray = 32x²

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2