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2 years ago

Help with exam 11 please

Mathematics

1 answer:

Feliz [49]2 years ago

5 0

Answer:

Step-by-step explanation:

Hope this helps u!!

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If in triangle ABC, a=5, b=6 and c=8, then cos A is...

s2008m [1.1K]

In a triangle, the nomenclature is that a variable side a is opposite of the angle A. we can use the cosine law to determine the value of cosine A.
a2 = b2 + c2 -2bc cos a25 = 36 + 64 - 2*6*8 * cos acos a = 25/32

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3 years ago

39,892 to the nearest 1000 on the number line

Iteru [2.4K]

I'm pretty sure it would be 40,000 because if i'm not mistaken you meant the nearest 10,000 since the number is 39,892.

7 0

2 years ago

Serial numbers for a product are to be made using 3 letters followed by 4 digits. The letters are to be taken from the first let

Tpy6a [65]

Answer:

30,240 ways, if I am restricted to using A, B, and C for letters

Step-by-step explanation:

This uses Combinatorics from Discrete Math.

so.

3 letters and 4 digits.

26 letters from alphabet, but you want to choose first letters. no repeats...

Does this mean only letters A, B, and C ?

digits from 10 digits...

I imagine 7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.

3*2*1 * 10*9*8*7 = 6 * 5040 = 30,240 ways

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2 years ago

A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti

prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

$= \frac{30}{100}$

Now write 60% in the decimal form

$= \frac{60}{100}$

After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of antifreeze is

$= \frac{30\times (10 - x)}{100}$

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

$= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}$

solyving

100x +300 - 30x = 600

70x = 300

$x = \frac{300}{70}$

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

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2 years ago

Read 2 more answers

The following figure is a rhombus. Find the value of m. Then, use that value to find the measure of VW

maxonik [38]

Answer:

$m=8$

The length of VW = 36 units.

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

The length of VW= 6m-12

The length of WX = 4m+4

As all the four sides of the rhombus have equal length.

So we can observe

$VW=WX$

$6m-12 = 4m+4$

Add 12 to both sides

$6m-12+12=4m+4+12$

$6m=4m+16$

$2m=16$

Divide both sides by 2

$\frac{2m}{2}=\frac{16}{2}$

$m=8$

The length of VW= 6m-12

= 6(8)-12 ∵ $m=8$

= 48-12

= 36

Thereofore, the length of VW = 36 units.

3 0

2 years ago