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mr Goodwill [35]
1 year ago
6

A lorry is travelling at 13.5 m/s along a stretch of road where the speed limit is 50 km/h. 1 kilometre = 1000metres 1 hour = 36

00 seconds show that the lorry is travelling below the speed limit.
Mathematics
1 answer:
BabaBlast [244]1 year ago
4 0
3600x13.5÷1000=48.6km/h
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Find two complex numbers that have a sum of i10 a different of -4and a product of -29​
lianna [129]
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

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1 year ago
In a necklace the ratio of yellow beads to blue beads is 3:1. What percentage of beads are yellow?
navik [9.2K]
3 yellow beads and 1 blue bead
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2 years ago
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Find the sales tax for three CDs, if each CD is $14.29 and the sales tax is 7.25%.
den301095 [7]
The total sales tax is $1.10
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2 years ago
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Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
emmasim [6.3K]

Answer:

\frac{12}{35}

Step-by-step explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}

2) The ratio for Purple People Eater can be expressed in fraction form as :

=\frac{3}{5}

3) The ratio for Purple Majesty can be expressed in fraction form as :

=\frac{7}{4}

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in \frac{3}{5}

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Multiply numerator and denominator by 5 in \frac{7}{4}

\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}

Common denominator is 20


6 0
1 year ago
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The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the
taurus [48]
Product of two consecutive integer so this mean that x and y but y = x+1 than

x(x+1)=1332

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x^2 +x -1332 = 0

(x+37)(x-36)=0

x+37=0

x=-37 so the larger integer result that will be 37 
9 0
2 years ago
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