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3 years ago

#9. Find the area of the triangle. Thanks!

Mathematics

2 answers:

Phoenix [80]3 years ago

7 0

Answer:

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = $\frac{1}{2}$ ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 9, b = 15 and C = 70°, hence

A = 0.5 × 9 × 15 × sin70° = 63.4 cm² → C

tiny-mole [99]3 years ago

3 0

Answer:

C. $63.4cm^2$

Step-by-step explanation:

I love trigonometry

the area of a triangle is equal to $\frac{1}{2}*a*b*sinC$

we have a b and Angle C so just put that in the formula :)

$\frac{1}{2}*9*15*sin70\\$

$63.4cm^2$

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What is the domain of F(x) = 1/x ?

Elenna [48]

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The domain is the possible x values of a function.

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All Reals except 0,

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2 years ago

Eight inches of snow fell in five hours. Write the number of inches per hour.

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3 years ago

Zack used 4 centimeters of tape to wrap 2 presents. How many presents did Zack

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3 years ago

MODELING REAL LIFE A post-and-beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post-

Rainbow [258]

To find out if the triangle is a right triangle, we must check if the following equation is true:

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7 0

1 year ago

A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140

amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0

3 years ago