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Natasha_Volkova [10]
4 years ago
11

What is expanded form?

Mathematics
2 answers:
hoa [83]4 years ago
8 0
<span>Expanded form is a  way to write numbers by adding the value of its digits. Example: 1,000+ 500 + 60 + 5 + 1,565</span>
Rufina [12.5K]4 years ago
4 0
Expanded form<span> is the likeness of a number with factors, exponents or words and separated into separate place values and decimal places that can </span>form<span> a </span>mathematical<span> expression.</span>
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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he
11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

S.A = 50π + 700π

S.A = 750π

Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π

For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

L = √169

L = 13

So, S.A of cone = π(5)² + (π×5×13)

S.A = 25π + 65π = 90π

Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

So, S.A is now = 90π - π(5)²

= 90π - 25π = 65π

Thus,total surface area of the pencil = 725π + 65π = 790π

7 0
3 years ago
Read 2 more answers
Find a measurement in centimeters of an object. Look through books, magazines, or the Internet. Then write the measurement as pa
ser-zykov [4K]
A book 2meters I found it so yea I concert and did a

That so that's your answer ya good now or nah ok good contact meh if u need help huh bye
5 0
3 years ago
Read 2 more answers
What is the value of p in the linear equation ? −4 −2 2 4
Snezhnost [94]

Answer:

p = -2

Step-by-step explanation:

O we have to solve this equation:

24p + 12 - 18p = 10 + 2p - 6

First, we will operate what we have in both sides:

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

We substract 2p in both sides and 12 too.

6p + 12 - 2p - 12 = 4 + 2p - 2p - 12

4p = -8

Now, we divide both sides by 4

4p/4 = -8/4

7 0
4 years ago
Read 2 more answers
PLEASE HELP!! ASAP!!!!!
Dovator [93]

The linear function with the same y-intercept with the graphed function is: table A.

<h3>What is a Linear Function?</h3>

The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.

Slope of the graphed function = rise/run = - 2/1 = -2

Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:

0 = -2(5) + b

0 = -10 + b

10 = b

b = 10

The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.

Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3

Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):

8 = 3(1) + b

8 - 3 = b

5 = b

b = 5

Therefore the table with the same y-intercept as the graphed function is table A.

Learn more about linear function on:

brainly.com/question/4025726

#SPJ1

5 0
2 years ago
Suppose that 8% of the general population has a disease and that the test for the diesease is accurate 70% of the time. What is
balu736 [363]

Answer:

P = 0.332

Step-by-step explanation:

The probability of having the disease is 0.08

The probability that the test predicts with accuracy is 0.7.

We need to find the probability that the test positive for the disease.

Several cases may occur.

Case 1.

You have the disease and the test predicts it accurately

P_1 = 0.08(0.7) = 0.056

Case 2

You do not have the disease and the test predicts that you have it

P_2 = 0.92(0.3) = 0.276

Then the probability that the test predicts that you have the disease is the union of both probabilities P1 and P2

P = P_1 + P_2\\\\P = 0.056 + 0.276\\\\P = 0.332

8 0
3 years ago
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