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artcher [175]
3 years ago
8

AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Given:

AB is the diameter of a circle.

m∠CAB = 26°

To find:

The measure of m∠CBA.

Solution:

Angle formed in the diameter of a circle is always 90°.

⇒ m∠ACB = 90°

In triangle ACB,

Sum of the angles in the triangle = 180°

m∠CAB + m∠ACB + m∠CBA = 180°

26° + 90° + m∠CBA = 180°

116° + m∠CBA = 180°

Subtract 116° from both sides.

116° + m∠CBA - 116° = 180° - 116°

m∠CBA = 64°

The measure of m∠CBA is 64°.

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nikitadnepr [17]
600+50+7 this is 657 in expanded form
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2 years ago
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Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

y = 1.4058 so it is going downward The value is getting smaller.

4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.


6 0
3 years ago
Marc maxwell took out a simple interest loan at 13% interest for 12 months. his previous balance is $2,681.04. what is the final
V125BC [204]
Simple interest is given by:
S.I.=(PRT)/100
where:
P=principle
R=rate
T=time
from the question:
P=2681.04
R=13%
T=12 months=1 year
thus;
S.I=(2681.04×1×1.3)/100
=$34.85352
The total amount payable will be:
Total amount=principle+interest
=34.85342+2681.04
=$2715.90 This is approximately equal to $2,710.08
8 0
2 years ago
Read 2 more answers
"what is the value of a in the equation 81^b=a^4b"
stira [4]
Solving for B = 0
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6 0
3 years ago
How much sugar syrup would you get by making 30% sugar syrup using 75g sugar?
Elena-2011 [213]

Answer:

250gr

Step-by-step explanation:

The amount of sugar syrup that I would get by making 30% sugar syrup using 75g sugar is going to be given by the weight of the sugar added to the weight of water. Therefore, we have the following equation:

\frac{75}{75+x} = 0.30

Now, we need to find x:

75 + x = 250

x = 250 - 75

x = 175

The amount of sugar syrp is 175gr + 75 grm = 250gr.

7 0
3 years ago
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