Express this phrase as a unit rate: 10 1/2 teaspoons in 14 ounces

Mathematics

1 answer:

Nat2105 [25]2 years ago

8 0

1 ounce for 0.75 teapsoons

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What is multiplying

OLga [1]

Answer:

obtain from (a number) another which contains the first number a specified number of times.

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2 years ago

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The equation below describes a proportional relationship between x and y. What is the constant of proportionality?

serg [7]

Answer:

k=2/5

Step-by-step explanation:

It is the ratio of the amounts y and x:

k = y/x

Put another way: y = kx

3 0

3 years ago

A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = 193.9 degrees (1 dp)

And the distance it travels is 31.2 km (1 dp)