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hjlf
3 years ago
7

Solve this a interval notation. 5 greater than or equal to |4-2x|

Mathematics
1 answer:
rosijanka [135]3 years ago
4 0
5≥|4-2x|
5≥4-2x≥-5
-1≤2x≤9
-0.5≤x≤4.5
x∈[-0.5;4.5]

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In the diagram, point O is the center of the circle and AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E. If m∠AOB = 90° and
Romashka [77]
<span>m∠CED = </span><span>1/2(m∠AOB + </span><span><span>m∠COD)</span> = 1/2(90° + 16°) = 1/2(106°) = 53°</span>

7 0
4 years ago
What are the measures of the angles in triangle ABC?
VMariaS [17]

Complete question :

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

What are the measures of the angles in triangle ABC?

a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answer:

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Step-by-step explanation:

Given:

Length AC = 7 inches

Length BC = 24 inches

Length AB = 25 inches

Since it is a right angle triangle,

m∠C = 90°

To find the measures of the angle in ∠A and ∠B, we have :

For ∠A:

SinA = \frac{BC}{AB}

SinA = \frac{24}{25}

SinA = 0.96

A = Sin^-^1 = 0.96

∠A = 73.7°

For ∠B:

SinB = \frac{AC}{AB}

SinB = \frac{7}{25}

SinB = 0.28

B = Sin^-^1 = 0.96

∠B = 16.26 ≈ 16.3°

Therefore,

m∠A = 73.7°

m∠B = 16.3°

m∠C = 90°

7 0
3 years ago
Read 2 more answers
A jewellry shop sells 240 necklaces in a month
Colt1911 [192]

Answer:

Ratio is 1:3

Step-by-step explanation:

Given that a jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.

We have to work out the ratio for online sales to shop sales

Total sales .. 240

Shop sale .. 180

Online sa .. 60

Hence ratio for online sales:shop sales

5 0
4 years ago
Read 2 more answers
Working as a waiter Michael earns $6.50 per hour plus tips last night he received 3850 and tips and he earned a total of 7425 ho
Juliette [100K]

Answer:

Step-by-step explanation:

65.75 - 36.50 = 29.25

29.25 \ 6.50 = 4.5

Your answer is 4.5 hours

8 0
3 years ago
you play two games of of golf. let event A=You win the first game. let event B= you win the second game. what does P(B/A) repres
Inga [223]
<h3>Answer:</h3>
  • P(B|A) = the probability you win the second game given that you win the first game
<h3>Step-by-step explanation:</h3>

The notation P(B|A) means "the probability of event B given event A". For the two events defined in the problem statement, the expression means ...

... the probability <em>you win the second game</em> given <em>you win the first game</em>.

5 0
4 years ago
Read 2 more answers
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