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Ivenika [448]
3 years ago
13

What is the measure of angle A in the triangle below? TIMED HELP

Mathematics
2 answers:
pashok25 [27]3 years ago
8 0
The sine of angle-A is 0.5
so the angle is 30 degrees.
Anika [276]3 years ago
6 0

Answer:

Option A is correct

30°

Step-by-step explanation:

Using sine ratio:

\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}

In a given triangle ACB:

BC = 9 units and AB = 18

Opposite side of angle A = BC = 9 units

Hypotenuse side = AB = 18 units.

By sine ratio:

\sin A = \frac{9}{18}

\sin A = \frac{1}{2}

\sin A = \sin 30^{\circ}

On comparing both sides we have;

\angle A = 30^{\circ}

therefore, the measure of angle A is 30 degree.


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14days=x miles

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_______ =  ________
 2.25mi          x mi

Cross multiply
1x=31.5
divide both sides by 1
x=31.5miles

Answer=31.5miles
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B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
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1000 households were surveyed. 275 households own a desktop computer, 455 households own a DVD player, 405 households own two ca
icang [17]

Answer:

Step-by-step explanation:

From the given information,

Suppose

X represents the Desktop computer

Y represents the DVD Player

Z represents the Two Cars

Given that:

n(X)=275

n(Y)=455

n(Z)=405

n(XUY)=145

n(YUZ)=195

n(XUZ)=110

n((XUYUZ))=265

n(X ∩ Y ∩ Z) = 1000-265

n(X ∩ Y ∩ Z) = 735

n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)

145 = 275+455 - n(X ∩ Y)

n(X ∩ Y) = 585

n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)

195 = 455+405-n(Y ∩ Z)

n(Y ∩ Z) = 665

n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)

110 = 275+405-n(X ∩ Z)

n(X ∩ Z) = 570

a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)

n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735

n(X ∪ Y ∪ Z) = 50

c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)

n(X ∪ Y ∪ C') = 145-50

n(X ∪ Y ∪ C') = 95

6 0
3 years ago
Explain I don’t understand
Serggg [28]
So just divide 100 by 25 which equals 4 then divide 120 by 30 which also equals to 4 and if the rest equal 4 then its proportional (1)
And then same for 2 and 3 just divided the bottom by the top and if they all get the same answer they are proportion and if one is not the same then it’s not

For the grids if the dots are line diagonally straight and it starts at the 0 then it’s proportional if not then it’s not

Hope this helps :)
7 0
3 years ago
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