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QveST [7]
3 years ago
8

Solve the following triangle completely.

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

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Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

m\angle 1=90^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

90^\circ+65^\circ+m\angle 2=180^\circ

155^\circ+m\angle 2=180^\circ

m\angle 2=180^\circ-155^\circ

m\angle 2=25^\circ

Therefore, the correct option is C.

7 0
3 years ago
Which one matches the picture description
mr_godi [17]

Answer:

356.82

Step-by-step explanation:

4 0
3 years ago
The police use a speed gun to monitor one part of a highway. During one hour, 6 out of 25 cars were traveling above the speed li
Vlad [161]
<span>(6 / 25) X 100 = 24%</span>
4 0
3 years ago
Read 2 more answers
The range of y = - 32x ^ 2 + 90x + 3
motikmotik

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

y

=

3

2

x

2

+

4

x

−

9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

−

35

3

,

∞

)

Set-Builder Notation:

{

y

∣

∣

∣

y

≥

−

35

3

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

−

35

3

,

∞

)

,

{

y

∣

∣

∣

y

≥

−

35

3

}

image of graph

5 0
3 years ago
Read 2 more answers
A university administrator was interested in determining if there was a difference in the distance students travel to get from c
olasank [31]

Answer:

D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.

Step-by-step explanation:

What we are testing?

If the distance students travel to get from class is statistically different for men and women.

How we take the decision?

The significance level is the standard of 0.05.

If the p-value is greater than 0.05, there is no evidence that the distances are statistically different for the population.

If the p-value is less than 0.05, there is evidence that the distances are statistically different different for the population..

In this question:

p-value: 0.305 > 0.05, so there is no statistically significant evidence that the means are difference, and the correct answer is given by option d.

8 0
3 years ago
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