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1 year ago

A pattern has 12 red squares to every 84 blue circles. What is the ratio of red squares to bluecircles?Saleet

Mathematics

1 answer:

victus00 [196]1 year ago

8 0

A pattern has 12 red squares to every 84 blue circles

The ratio is shown below;

$\begin{gathered} \text{Ratio}=\frac{12}{84} \\ \text{Divide all through and reduce to the simplest form and you now have;} \\ \text{Ratio}=\frac{1}{7} \end{gathered}$

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trapecia [35]

Answer:

Step-by-step explanation:

Given that there are two vectors U = (-8,0,1)

V = (1,3,-3)

To find projection of u on V and also projection of V on U

First let us find the dot product U and V

U.V = $-8(1)+0(3)+1(-3)\\= -11$

Projection of U on V = $\frac{U.V}{|V|} \\=\frac{-11}{\sqrt{1+9+9} } \\=\frac{-11}{\sqrt{19} }$

Similarly projection of V on U

= $\frac{U.V}{|U|} \\=\frac{-11}{\sqrt{64+0+1} } \\=\frac{-11}{\sqrt{65} }$

4 0

3 years ago

erik drove 439.92 miles on 15.6 gallons of gas. To the nearest hundredth, how many miles could he drive on 39.7 gallons of gas?

Thepotemich [5.8K]

In the question it is already given that Eric drove for 439.92 miles on 15.6 gallons. It is required to find the distance traveled on 39.7 gallons of gas. Also we have to find the answer to the nearest hundredth.
Then,
In 15.6 gallons Eric can drive for a distance = 439.92 miles
In 39.7 gallons Eric can drive for a distance = [(439.92/15.6) * 39.7] miles
= 1119.54 miles
So the total distance traveled by Eric is 1120 miles with 39.7 gallons of gas. The answer has been calculated to the nearest hundredth.

6 0

3 years ago

A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w

PolarNik [594]

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

<u>0.6608</u>

this is the probability that the equipment will work for at least 5years

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3 years ago

Alex earns 12% commission on any of her monthly sales over $5,000. Her sales for May were $6,750. How much commission did Alex e

valentina_108 [34]

6750/100*12 = 810 is the answer

4 0

2 years ago

I need help with this equation can someone please help me

Vanyuwa [196]

Answer:

d= 24

Step-by-step explanation:

-2= d/3 - 10

-6= d-30

-d=-30+6

-d= -24

d= 24

6 0

3 years ago