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dedylja [7]
2 years ago
13

A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip?.

Mathematics
1 answer:
suter [353]2 years ago
8 0

Analyze problem

since the distance is the same, we will not need to do any solving in that part

so, the average of 80 and 100 is

(80+100)/2

which is 90

so, 90 miles per hour

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If the legs of a triangle are 6cm and 5cm, find the area of the triangle
Stels [109]
15 cm^2


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2 years ago
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What is the best approximation of the value of w? 1. 4 cm 4. 0 cm 6. 0 cm 7. 3 cm.
MrRissso [65]

To solve the problem we must know about Sine Rule.

<h3>What is Sine rule?</h3>

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

where

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  • Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
  • Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

The value of w is 4.0 cm.

Given to us

  • VW = 3.3 cm,
  • ∠U = 31°,
  • ∠W = 39°,
<h3>Using the sine law,</h3>

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

Substitute the values,

\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}

\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}

w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}

w = 4.03224 cm ≈ 4.0 cm

Hence, the value of w is 4.0 cm.

Learn more about Sine Rule:

brainly.com/question/17289163

4 0
2 years ago
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Answer:

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umka21 [38]
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–4x – 7 = y x2 – 2x – 6 = y Which statement is true? There are no real number solutions. There is one unique real number solutio
Aleksandr [31]

Answer:

<h3>There is one unique real number solution at (–1, –3)</h3>

Step-by-step explanation:

Given the two linear equation

–4x – 7 = y ...1

x² – 2x – 6 = y ...2

Equating the left hand side of both equations since they are equal to the same variable  y will give;

-4x-7=x^{2} -2x-6\\collecting\ the\ like\ terms\\x^{2} -2x+4x-6+7 = 0\\x^{2} +2x+1 = 0\\x^{2} +x+x+1 = 0\\x(x+1)+1(x+1)=0\\(x+1)^{2}=0\\ taking\ square\ root\ of\ both\ sides\\x+1 = 0\\x = -1\\  

Substituting x=1 into equation 1 we have;

y=-4(-1)-7\\y=4-7\\y = -3

This means there is only one unique real number solution at (-1, -3)

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