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melamori03 [73]
3 years ago
5

If $a:b = 1:3$ and $b$ is a positive, one-digit integer, what is the greatest possible value of $a$?

Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0
<h3>Answer is 3</h3>

=========================================

Work Shown:

a:b = 1:3

a/b = 1/3

a*3 = b*1 ... cross multiply

3a = b

b = 3a

Since b is a one digit number, this means that the largest it can get is 9

b \le 9\\\\3a \le 9\\\\a \le \frac{9}{3}\\\\a \le 3

The largest possible value of 'a' is 3

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AleksandrR [38]

Answer:

<Ber=<kem(vertically opposite angle)

9x-17=3x+31

9x-3x=31+17

6x=48

x=48/6=8

<kem=3×8+31=55°is answer

3 0
3 years ago
Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?
marishachu [46]

Given the two triangles, and the sine ratio formula is equal to:

Sin(x) = O/H

Where x is one angle of the triangle

O is the opposite side of the angle x

H is the hypotenuse of the triangle

 

To solve this we have to fine O/H = 4/5

So the answer is

Sin (P) = 16/20 = 4/5

<span>So angle P has the sine ratio of 4/5</span>

8 0
4 years ago
Read 2 more answers
Need help with this ASAP
Mariana [72]

Answer:

Sequence: 13, 20, 27

Rule: Tn = 7n + 6

Step-by-step explanation:

The 3 other numbers that can form an arithmetic progression is 13, 20, 27...

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

a is the first term = 13

n is the number of terms

d is the common difference = 20 - 13 = 27 - 20

d = 7

Substitute

Tn = 13 + (n-1)(7)

Tn = 13 + 7n - 7

Tn = 7n+13-7

Tn = 7n + 6

This gives the required rule

5 0
3 years ago
Can someone help me pls
Wittaler [7]

Answer:

3 cm

Step-by-step explanation:

  • V_{cylinder} = 189\pi \: cm^3 (Given)

  • h_{cylinder} = 21\: cm (Given)

  • Formula for V_{cylinder} is given as:

  • V_{cylinder} = \pi r^2h

  • \implies  189\pi = \pi r^2(21)

  • \implies \frac{ 189\pi}{21\pi} = r^2

  • \implies 9 = r^2

  • \implies \pm\sqrt 9 = r

  • \implies \pm 3 = r

  • Length of radius can not negative

  • \implies r = 3 \: cm

Hope it helps you in your learning process.

8 0
2 years ago
Read 2 more answers
1. Which of the following are sets? Justify your answer.
viktelen [127]

Answer: B,C,D,E,G

Step-by-step explanation:

5 0
3 years ago
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