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3 years ago

State The Absolute value and the opposite of the number. -24, 8, 31, -17

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

absolute value with positive numbers are always positive if I remember correctly.

oooo and the opposite

-8

-31

and 17

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A plane is approaching an aircraft carrier at 25° angle of elevation from 3.2 miles away how far above sea level is the plane

s2008m [1.1K]

Answer:

$Height\approx 1.35\ miles$

Step-by-step explanation:

The angle of elevation $=25\textdegree$

It is $3.2\ miles$ away from the point.

If we imagine a right triangle having an angle $25\textdegree$ .

Hypotenuse $=3.2$ , Opposite=Height from sea level $(h)$

$\sin 25=\frac{opposite}{hypotenuse}\\\\\sin 25=\frac{h}{3.2}\\\\h=3.2\times \sin 25\\\\h=3.2\times 0.4226\\\\h=1.3524\approx 1.35\ miles$

8 0

3 years ago

Read 2 more answers

Leah drives 45 miles per hour for 2 hours then 32 miles per hour for 90 minutes . What is her average speed

Citrus2011 [14]

Answer:

=39.42857143 miles per hour

Step-by-step explanation:

To find the average speed, we need to the total distance and the total time

Distance 1

45 miles for 2 hours

45*2 = 90 miles

Distance 2

90 minutes * 1 hour/60 minutes = 1.5 hours

32 miles * 1.5 hours =48 miles

The total distance = 90+48 = 138 miles

The total time = 2 +1.5 = 3.5 hour

The average speed = total distance/ total time

= 138/3.5

=39.42857143 miles per hour

3 0

3 years ago

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What is the slope of a line that is perpendicular to the line whose equation is 0.52 - 5y = 9?

otez555 [7]

The slope is 0.1
To find a perpendicular slope, find the negative reciprocal.
The reciprocal of 0.1 is 10
The negative of 10 is -10
Final answer:-10

7 0

3 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago

The school sold 200 tickets to play. Student tickets are $4 and adult tickets are $6. If they made a total $930 how many of each

r-ruslan [8.4K]

$200 + \div 4 =$
$50$
$200 \div 6 =$
$33 \infty$
There was 50 student tickets sold for the play.
There was 33 infinity adult tickets sold for the play

5 0

3 years ago

State The Absolute value and the opposite of the number. -24, 8, 31, -17​

State The Absolute value and the opposite of the number. -24, 8, 31, -17