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liraira [26]
3 years ago
6

Find the missing value in the equivalent ratio 18:27=16:_ a. 24 b. 25 c. 26

Mathematics
1 answer:
dexar [7]3 years ago
7 0

24 is your answer hope this is helpful
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Can someone help me out with this question? The question is about circle diameters. I'm unfamiliar with finding the length of th
Nady [450]

Answer:

a) m arc AD = 145

b) D = 10

Step-by-step explanation:

a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.

The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°

The arc length is identical to the arc angle when measured between radii.

b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.

Diameter is twice radius = 10

7 0
3 years ago
Brianna has x nickels and y pennies. She has no less than 20 coins worth no more
Bond [772]

Answer:

y \ge 20 - x

y \le 80 -5x

(x,y) = (15,5)

Step-by-step explanation:

Given

Nickels = x

Pennies = y

Amount = \$0.80 maximum

Coins = 20 minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

x\ +\ y\ge 20 because the number of coins is not less than 20

For the worth of coins, we have:

0.05x\ +\ 0.01y\ \le0.80 because the worth of coins is not more than 0.80

So, we have the following equations:

x\ +\ y\ge 20

0.05x\ +\ 0.01y\ \le0.80

Make y the subject in both cases:

y \ge 20 - x

0.01y \le 0.80 - 0.05x

Divide through by 0.01

\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le 80 -5x

The resulting inequalities are:

y \ge 20 - x

y \le 80 -5x

The two inequalities are plotted on the graph as shown in the attachment.

y \ge 20 - x --- Blue

y \ge 80 -5x --- Green

Point A on the attachment are possible solutions

At A:

(x,y) = (15,5)

4 0
2 years ago
6 = -4x + y<br> -5x - y = 21<br> Please Help Fast!!!!!! Substitution
Vera_Pavlovna [14]

Answer:

y = 4x + 6

-5x - 4x - 6 = 21

-9x - 6 = 21

-9x = 27

x = -3

y - 4(-3) = 6

y + 12 = 6

y = -6

(-3, -6)

5 0
3 years ago
Rewrite as a simplified fraction. 3.4888888888...... =?
artcher [175]

Answer:

3 22/45

Step-by-step explanation:

3 0
3 years ago
Helpppp with this math
Ilia_Sergeevich [38]

9514 1404 393

Answer:

  x = 8 1/3

Step-by-step explanation:

Put the known values into the equation and solve for x.

  f(x) = 3x -1

  24 = 3x -1 . . . . . use 24 for f(x)

  25 = 3x . . . . . . . add 1 to both sides

  25/3 = x . . . . . . divide both sides by 3

The input is x = 8 1/3.

4 0
3 years ago
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