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larisa [96]
1 year ago
12

Find the digit 5 in each of these numbers. 15. 2 3. 5 The 5 in 3. 5 is 1 place to the right of the 5 in 15. 2. Which sentence co

rrectly compares the values? A. The value of the 5 in 3. 5 is times the value of the 5 in 15. 2. B. The value of the 5 in 3. 5 is times the value of the 5 in 15. 2. C. The value of the 5 in 3. 5 is 10 times the value of the 5 in 15. 2. D. The value of the 5 in 3. 5 is 100 times the value of the 5 in 15. 2
Mathematics
1 answer:
Monica [59]1 year ago
8 0

The value of 5 in 3.5 times the value of the 5 in 15 is the sentence that compares correctly with the values.

<h3>What is arithmetic?</h3>

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. One of the branches of mathematics, 1a, deals with the application of addition, subtraction, multiplication, and division to nonnegative real numbers, sometimes including transfinite cardinals.

Given Data

Here, 5 in 15.2 is 1/10 times to 3.5.

The 5 in 3.5 is therefore \frac{1}{10} times the 5 in 15.2, and likewise.

The value of 5 in 3.5 times the value of the 5 in 15 is the sentence that compares correctly with the values.

To learn more about arithmetic, visit:

brainly.com/question/1884833

#SPJ4

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a special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside perimeter is
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Answer:

The dimensions of the rectangle are length 25 feet and width 15.92 feet

Step-by-step explanation:

Let L be the length of the rectangle and w be the width.

The area of the rectangular part of the shape is Lw while the area of the two semi-circular ends which have a diameter which equals the width of the rectangle is 2 × πw²/8 = πw²/4. The area of each semi-circle is πw²/4 ÷ 2 = πw²/8

So, the area of the shape A = Lw + πw²/4.

The perimeter of the shape, P equals the length of the semi-circular sides plus twice its length. The length of a semi-circular side is πw/2. So, both sides is 2 × πw/2 = πw

P = πw + 2L

Since the perimeter, P = 100 feet, we have

πw + 2L = 100

From this L = (100 - πw)/2

Substituting L into A, we have

A = Lw + πw²/4.

A = [(100 - πw)/2]w + πw²/4.

A = 50w - πw²/2 + πw²/4.

A = 50w - πw²/2

Now differentiating A with respect to w and equating it to zero to find the value of w which maximizes A.

So

dA/dw = d[50w - πw²/2]/dw

dA/dw = 50 - πw

50 - πw = 0

πw = 50

w = 50/π = 15.92 feet

differentiating A twice to get d²A/dw² =  - π indicating that w = 50/π is a value at which A is maximum since d²A/dw² < 0.

So, substituting w = 50/π into L, we have

L = (100 - πw)/2

L = 50 - π(50/π)/2

L = 50 - 50/2

L = 50 - 25

L = 25 feet

So, the dimensions of the rectangle are length 25 feet and width 15.92 feet

3 0
3 years ago
At the zoo gift shop, posters of rhinoceroses cost $5 and posters of grizzly bears cost $3. Mrs. Silva bought 6 posters and spen
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Answer:

She bought 2 rhino posters and 4 bear posters

Step-by-step explanation:

$5 x 2 = $10

$3 x 4 = $12

$10 + $12 + $22

3 0
3 years ago
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Discuss a more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs. Discu
vredina [299]

Answer:

The volume of the a sphere can be approximated by the rotation of a circle

Step-by-step explanation:

The volume of a sphere can be found by rotating a circle which is the cross section of the sphere about the x axis that is rotating x² + y² = a²

In the process of rotation, each cross section of the sphere generated will have a radius y from which the area of that cross section is π·y² = π·(a² - x²)

Therefore, integrating from +a to -a gives the volume of the sphere as π×[a³ - x³/3]ᵃ₋ₐ which is equal to 4/3·π·r³ (the exact volume of a sphere).

6 0
3 years ago
Directions: Read, analyze, and choose the letter of the correct answer. Write your
svetoff [14.1K]

1) The normal room temperature is said to be about 20°C

2) 5 day is equivalent to 120 hr

3) 756 m³/s is equivalent 56000 L/s

4) It would take the snail 5 hours to crawl 75 m

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

1) The normal room temperature is said to be about 20°C

2) 1 day = 24 hr

5 day = 5 day * 24 hr per day = 120 hr

3) 1 m³ = 1000 L

756 m³/s = 56 m³/s * 1000 L/m³ = 56000 L/s

4) 1 m = 100 cm

75 m = 7500 cm

Time = 7500 / (25 cm/min) = 300 min = 5 hours

Find out more on equation at: brainly.com/question/2972832

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2 years ago
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