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anzhelika [568]
3 years ago
5

Is x greater than, less than, or equal to 151°

Mathematics
2 answers:
Elodia [21]3 years ago
7 0

Answer:

greater than

Step-by-step explanation:

Vitek1552 [10]3 years ago
5 0

Answer:

less than

Step-by-step explanation:

You might be interested in
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
3 years ago
Which equation in slope intercept represents the line that goes through the points (-1, 6) and (1, -2)
Afina-wow [57]

Answer:

D) y=-4x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-6)/(1-(-1))

m=-8/(1+1)

m=-8/2

m=-4

y-y1=m(x-x1)

y-6=-4(x-(-1))

y-6=-4(x+1)

y=-4x-4+6

y=-4x+2

3 0
3 years ago
PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma
GenaCL600 [577]

Answer:

x=-6,\\y=6

Step-by-step explanation:

Rewrite the system of equations as:

\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}

Subtract the second equation from the first to isolate x:

-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}

Plug in x=-6 into any of the equations above and solve for y:

-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}

Verify that the solution pair (-6, 6) works \checkmark

Therefore, the solution to this system of equations is:

x=-6,\\y=6

8 0
2 years ago
Select all that apply.
babunello [35]
C.Quadrilateral is the answer for the following because rhombus, trapezoid, isosceles trapezoid have parallel sides.

3 0
2 years ago
Read 2 more answers
A hairdryer transfers 36,000J in one minute, what is the power rating of the hairdryer?
Verdich [7]

Answer:

1. 600 watts

2. 35640 J

3. 55%

4. 20 J

5. The cost of running the fire is 8p.

Step-by-step explanation:

1. Energy = 36 000 J , t = 1 minute = 60 seconds

Power = \frac{energy}{time}

           = \frac{36000}{60}

          = 600 watts

2. Power = \frac{work done}{time}

⇒ work done = Power × time

                      = 99 × 360

                      = 35640 J

3. Efficiency = (Output / Input) × 100

                    = \frac{55}{100} × 100

                    = 55%

4. Work done = Force × distance

                      = 5 × 4

                      = 20 J

5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.

  Power = \frac{energy}{time}

Energy = Power × time

            = 4 × 4

           = 16 KWh

The cost of running the fire = \frac{16}{2}

                = 8p

3 0
3 years ago
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