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lorasvet [3.4K]
3 years ago
13

A driver can stop his car from the red signal at a distance of of 20 m when he drives at 36 kmph

Mathematics
1 answer:
Bingel [31]3 years ago
6 0

Answer:  2.0 seconds & 2.75 seconds

<u>Step-by-step explanation:</u>

d=\dfrac{s\times r}{3.6}\quad where;\\\\\bullet d=\text{reaction distance (in meters)}\\\bullet s=\text{speed (in km/hr)}\\\bullet r=\text{reaction time (in seconds)}\\\bullet 3.6=\text{needed to convert km/hr into meters/second}\\\\\\\large{\text{When d=20m and s=36}}\\\\20=\dfrac{36}{3.6}\times r\\\\20=10r\\\\\large{\boxed{2=r}}\\\\\\\text{When d=41.25m and s=54}\\\\41.25=\dfrac{54}{3.6}\times r\\\\41.25=15r\\\\\large\boxed{2.75=r}

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How to solve this problem​
adoni [48]

Answer:

PR = 180 cm

Step-by-step explanation:

Given PQ : QR = 7 : 3  = 7x : 3x ( x is a multiplier )

PQ - QR = 72, substitute values

7x - 3x = 72

4x = 72 ( divide both sides by 4 )

x = 18

Thus

PR = PQ + QR = 7x + 3x = 10x = 10 × 18 = 180 cm

7 0
3 years ago
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Find the tan A and sin B exactly.
Rudik [331]

Answer:

  • B - tan A = 4/3, sin B = 3/5

Step-by-step explanation:

<u>First, lets find the length of the third side</u>

  • b = √15² - 12² = √225 - 144 = √81 = 9

<u>Now, lets get Tan A and Sin B</u>

  • Tan A = 12/9 = 4/3
  • Sin B = 9/15= 3/5

Correct option is B

5 0
4 years ago
Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .
Bezzdna [24]

Answer:

follow the statement below

Step-by-step explanation:

The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.

Equation: y = ax² + bx + c

y intercept (0 , 3): c = 3

axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve

3 = a*(-10)² + b*(-10) + 3

100a - 10b = 0

b = 10a  .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function

y = 0.5x² + 5x +3

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y = 2x² + 20x +3

........................

8 0
3 years ago
1) Which diagram shows the correct construction of a line parallel to line l and passing through point P?
kherson [118]

1)To construct a line parallel to line l and passing through point P our first step is to join the point and line and then draw angles in such a way so that corresponding angles are equal.

Option B is the correct construction of a line parallel to line l and passing through point P.

2) To Construct the perpendicular line to line DE at point F we cut an arc from point F  to line DE in such a way it cuts line DE at two points .From these two points we draw arcs which cut each other .

Option C is the correct option  to Construct the perpendicular line to line DE at point F.

3) To Construct a perpendicular from the given line segment that passes through the given point we cut two arcs on top and bottom of line segment.

Option B is the right answer.

3 0
3 years ago
What is the value of log625^5? A: -4 B:-1/4 C:1/4 D:4
shtirl [24]

Answer:

The value of log_{625}(5) is \frac{1}{4}

Step-by-step explanation:

We want to evaluate log_{625}(5).


The base of this logarithm is 625 and the number is 5.


We need to express the number 5 as the base 625 raised to a certain index.


This implies that, log_{625}(5)=log_{625}(625^{\frac{1}{4}})


Recall now that,

log_a(m^n)=nlog_a(m).


We apply this property to obtain,

log_{625}(5)=\frac{1}{4}log_{625}(625)


Recall again that,


log_a(a)=1,a\ne0\:or\:1.This implies that,


log_{625}(5)=\frac{1}{4}(1)


log_{625}(5)=\frac{1}{4}


The correct answer is C.



3 0
3 years ago
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