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2 years ago

Write the number in standard form. 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)

Mathematics

1 answer:

Nookie1986 [14]2 years ago

3 0

Answer:

374.392

Step-by-step explanation:

3*100=300

4*10=40

7*1=7

3*(1/10)=0.3

9*(1/100)=0.09

2*(1/1000)=0.002

Put them together and you get 347.392

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AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.

Marat540 [252]

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

6 0

2 years ago

The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

Read 2 more answers

Rewrite 67/10 as an improper fraction.

r-ruslan [8.4K]

10 goes into 67 six times making it 6 7/10, which cannot be simplified. Therefore, if can be left as it is, an improper fraction 67/10, or a mixed number 6 7/10.

8 0

3 years ago

Read 2 more answers

Please help im almost done with school ! :(

MatroZZZ [7]

Answer:

Number 4 i think

Step-by-step explanation:

5 0

3 years ago

What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the ba

gizmo_the_mogwai [7]

Answer:

1440π squared mm.

Step-by-step explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

6 0

3 years ago

Read 2 more answers