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3 years ago

The exact answer please

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Answer:

$36.42 or $36.72

Step-by-step explanation:

different answers depends on order

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In rhombus ABCD, AB=14 and AC=19. Find the area of the rhombus to the nearest tenth. A 190.7 B 228.3 C 195.4 D 179.8

kkurt [141]

Answer:

Step-by-step explanation:

The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.

s = (a + b + c)/2

s = (14 + 14 + 19)/2 = 23.5

s - a = 23.5 - 14 = 9.5

s - b = 23.5 - 14 = 9.5

s - c = 23.5 - 19 = 4.5

=================

Area = sqrt(s * (s - a) * (s - b) * (s - c) )

Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)

Area = sqrt(9543,9)

Area = 97.69

But ABC is only 1/2 the rhombus. The area is twice that amount.

Area = 2 * 97.69 = 195.4

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3 years ago

Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

skelet666 [1.2K]

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

$x=y+4$

And the total value of all her coins is $3.80. Thus:

$0.2x+0.05y=3.8$

This yields a system of equations:

$\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}$

We can solve by substitution. Substitute the first equation into the first:

$\displaystyle 0.2(y+4)+0.05y=3.8$

Distribute:

$\displaystyle 0.2y+0.8+0.05y=3.8$

Combine like terms:

$\displaystyle 0.25y = 3$

And divide both sides by 0.25. Hence:

$y=12$

Thus, Amy has 12 5¢ coins.

Using the first equation:

$x=y+4$

Substitute:

$x=(12)+4=16$

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

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3 years ago

If a car drives for 45 miles per hour, how many minutes will it take if it drives 27 miles?

Darya [45]

20.25 because 1 mile takes 0.75 minutes

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Answer: 2 feet for $7.02.

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