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Alenkinab [10]
3 years ago
7

Ann,Bill and Collin are travelling in a car from Glasgow to Poole. Ann, Bill and Collin share the driving so that the distances

they drive are in the ration 3:4:4. Ann drives a distance of 210km.
a) whats the total distance they travel form Glasgow to Poole.
Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

770 km

Step-by-step explanation:

the ratio of Ann driving to total driving = 3 : 11

\frac{3}{11} × total distance traveled = 210km

total distance traveled = 210 km × \frac{11}{3} = 770 km

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Sladkaya [172]

Answer:

no

Step-by-step explanation:

they are not

8 0
3 years ago
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Which is a zero of the quadratic function f(x) = 9x2 – 54x – 19?
liraira [26]

Answer: Third Choice. x= 6 1/3

Step-by-step explanation:

Given

f(x) = 9x² - 54x - 19

Completing the square

3x          -19

3x          1

Substitute back to the function

f(x) = (3x-19) (3x+1)

Simplify

x= 6 1/3 or -1/3

Hope this helps!! :)

Please let me know if you have any questions

7 0
2 years ago
A city has a population of 280,000 people. suppose that each year the population grows by 4.5% . what will the population be aft
Anastasy [175]

Given that population of the city is 280000.

Rate of growth of the population = r = 4.5% = 0.045

We have to find population after 15 years so time

t = 15

We can use growth formula to find the required population which is given by :

A=P(1+r)^t

Where P= starting population = 280000

r= rate of growth = 0.45

t= time = 15

now plug these values into above formula.

A=280000(1+0.45)^{15}

A=280000(1.45)^{15}

A=280000(263.34194176)

A=73735743.6928

Hence population after 15 years will be approx 73735743.

8 0
2 years ago
A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle.
mezya [45]
1. Divide wire b in parts x and b-x. 

2. Bend the b-x piece to form a triangle with side (b-x)/3

There are many ways to find the area of the equilateral triangle. One is by the formula A= \frac{1}{2}sin60^{o}side*side=   \frac{1}{2} \frac{ \sqrt{3} }{2}  (\frac{b-x}{3}) ^{2}= \frac{ \sqrt{3} }{36}(b-x)^{2}
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Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6

3. Let x be the circumference of the circle.

 2 \pi r=x

so r= \frac{x}{2 \pi }

Area of circle = \pi  r^{2}= \pi  ( \frac{x}{2 \pi } )^{2} = \frac{ \pi }{ 4 \pi ^{2}  }* x^{2} = \frac{1}{4 \pi } x^{2}

4. Let f(x)=\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}+\frac{1}{4 \pi } x^{2}

be the function of the sum of the areas of the triangle and circle.

5. f(x) is a minimum means f'(x)=0

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\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x=0

(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) x=\frac{ \sqrt{3} }{18}b

x= \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }

6. So one part is \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) } and the other part is b-\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }

4 0
3 years ago
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Change 3/8 in to decimal show working​
mixas84 [53]

Answer:

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Convert the fraction to a decimal by dividing the numerator by the denominator.

3/8 = 0.375

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