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Strike441 [17]
3 years ago
7

A chord is 10cm from the centre of a circle of radius 15cm. Find the length of the chord.

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer: 21.44 cm

Step-by-step explanation:

Given

Radius r=15 cm

distance of chord from the center is 10 cm

From the figure, the length of the chord is AC

Applying Pythagoras

\Rightarrow AO^2=OB^2+AB^2\\\Rightarrow AB^2=15^2-10^2\\\Rightarrow AB^2=225-100=115\\\Rightarrow AB=\sqrt{115}=10.72\ cm

The length of the chord is AC=2AB=21.44\ cm

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A punch bowl contained 2 liters of ginger ale, 1 liter of orange juice, and 1 liter of cranberry juice. Select all of the statem
loris [4]

Answer:

The ratio of juices to ginger ale is 2 to 2

The ratio of orange juice to the cranberry juice is 1 to 1

Step-by-step explanation:

Ginger ale = 2 liters

Orange juice = 1 liter

Cranberry juice = 1 liter

Total ratio = 2 + 1 + 1 = 4

The ratio of ginger ale to the entire punch bowl is 1 to 4.

Ginger ale : entire punch bowl

= 2 : 4

= 1 : 2

Not true

The ratio of orange juice to ginger ale is 2 to 1.

Orange juice : ginger ale = 1 : 2

Not true

The ratio of juices to ginger ale is 2 to 2.

juices : ginger ale = orange juice + cranberry juice : ginger ale

= 1 + 1 : 2

= 2 : 2

True

The ratio of the entire punch bowl to the juices is 2 to 4.

Entire punch bowl : juices 4 : 2

Not true

The ratio of orange juice to the cranberry juice is 1 to 1.

Orange juice : cranberry juice = 1 : 1

True

7 0
3 years ago
The path of a firework launches into the sky is the model by the graph which statement describes the activity of the firework th
Aliun [14]

At 3 seconds, the firework is at a height of 150 feet

Answer is C. third option

The firework is at a height of 150 feet

3 0
3 years ago
Y = -3x - 2 and 5x + 2y = 15
denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x - 2

5x + 2y = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     5x + 2(-3x - 2) = 15
  2. Distribute 2:                          5x - 6x - 4 = 15
  3. Combine like terms:            -x - 4 = 15
  4. Isolate <em>x</em> term:                      -x = 19
  5. Isolate <em>x</em>:                               x = -19

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = -3x - 2
  2. Substitute in <em>x</em>:                                     y = -3(-19) - 2
  3. Multiply:                                                y = 57 - 2
  4. Subtract:                                               y = 55
8 0
3 years ago
Pleasee help me guyss .
Setler79 [48]

Answer:

24%

Step-by-step explanation:

25 - 19 = 6

25 = 100%

2.5 = 10%

1.25 = 5%

0.25 = 1%

5 = 20%

1 = 4%

6 = 24%

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Which answer is correct and why?
Ivanshal [37]
The answer is C.) 62.
Subtract 28 from 180, leaving 152, then subtract 90 since it's a right triangle because 2 sides are equivalent, leaving 62.
3 0
4 years ago
Read 2 more answers
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