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Murrr4er [49]
3 years ago
15

Write the ratio in its simplest form. 1.4/7

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0
1.4/7 in simplest form is 0.2/1 because you divide each side by 7.
Harlamova29_29 [7]3 years ago
3 0
1.4/7

Multiplying by 10

14/70 = 2/10 = 1/5

1/5 is the answer in its simplest form.
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Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet
Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0
3 years ago
Question 2
svetoff [14.1K]

Answer:

  • A: 37/41

Step-by-step explanation:

<u>We can observe that:</u>

  • The difference of the second and third numbers is equal to 17
  • The difference of the first and fourth numbers is equal to 13

<u>Therefore the missing pair will be:</u>

  • 20+17 = 37 and 28 + 13 = 41

Correct choice is A

3 0
3 years ago
What are the coordinates of the hole in the graph of the function f(x) ?
Vinvika [58]
ANSWER

(3, \infty )

EXPLANATION

The given function is

f(x) = \frac{ {x}^{2} - 9}{x - 3}

When we plug in x=3 into this function, we obtain,

f(3) = \frac{0}{0}

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}

This implies that,

f(x) = x + 3

The graph this function is a straight line that is continuous everywhere.

To graph

f(x) = \frac{ {x}^{2} - 9}{x - 3}
we draw the graph of

f(x) = x + 3
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

(3, \infty )

6 0
3 years ago
Write each number as a product of a decimal number between 1 and 10 and a power of 10.<br> 234,000
MrRa [10]

Answer:

2.34 * 10^5.

Step-by-step explanation:

234000 = 2.34 * 10^5

- there are 5 digits after the first number so the exponent is 5.

4 0
3 years ago
the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
Pani-rosa [81]

Answer:

The distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents  292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = 3\frac{1}{2} hours, we get;

d = 55 \times 3\frac{1}{2} + 100 = 292.5  \ miles

Therefore, the distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents = 292.5 miles.

7 0
3 years ago
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