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Elena-2011 [213]
3 years ago
11

a mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rov

er to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Mathematics
2 answers:
dolphi86 [110]3 years ago
3 0

Answer:

boBO

Step-by-step explanation:

JFfadsjaf

frutty [35]3 years ago
3 0

Answer: 60 meters

Step-by-step explanation:

Let x be distance

4x = 2.5x + 15

Convert everything into seconds:

4cm/sec = 2.5 cm/sec + 15 * 60

4x = 2.5x + 900

Then you solve the problem:

x=600

Then convert into meters:

x=60 meters

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Determine whether triangle XYZ is scalene, isosceles or equilateral.
dmitriy555 [2]

Answer:

<u>scalene</u>

Step-by-step explanation:

Length of XZ = √3² + 4² = √25 = 5

Length of ZY = √1² + 7² = √50 = 5√2

Length of XY = √4² + 5² = √41

As all lengths are different, the triangle is <u>scalene</u>

8 0
2 years ago
What is the value of 36x-8y2 when x=3 and y=-6
dem82 [27]
<span><span>36x</span>−<span><span><span>8<span>y2 </span></span></span><span><span>x=3 and </span><span>y=<span>−6</span></span></span></span></span><span><span><span>(36)</span><span>(3)</span></span>−<span>8<span><span>(<span>−6</span>)</span>2</span></span></span><span>=<span>−180</span></span>
3 0
3 years ago
What is cos(45°)?
Andrej [43]

Answer:

\rm \dfrac{\sqrt2}{2}

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

\rm\implies cos\theta =\dfrac{base}{hypotenuse}

In the given triangle ,

  • Value of base = 1
  • Value of hypotenuse = √2

On substituting the respective values ,

\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}

Simplify ,

\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}

6 0
3 years ago
Alan, Brady and Matt shared 740 marbles. Alan has 20 fewer marbles than Brady and 120 fewer marbles than Matt. How many marbles
scoundrel [369]

Answer:

200 \ marbles

Step-by-step explanation:

Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600

Dividing 3 both sides.

\frac{3x}{3}=\frac{600}{3}\\\\x=200

4 0
4 years ago
Simplify <br><br>(5i²+8i+10) - (3i²-10i+3)​
Leona [35]

Answer:

2i^2+18i+7

Step-by-step explanation:

(5i^2+8i+10)-(3i^2-10i+3)

5i^2+8i+10-3i^2+10i-3

2i^2+18i+7

4 0
3 years ago
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