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3 years ago

Given: ABC is a right triangle with right angle C. AB= 14 centimeters and mA = 33°

Mathematics

1 answer:

Strike441 [17]3 years ago

5 0

Answer:

AC ≈ 7.6 cm

Step-by-step explanation:

I've attached a drawing of this problem below as a visual aid.

We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.

Remember SOHCAHTOA?

→ soh (Sine = Opposite / Hypotenuse)

→ cah (Cosine = Adjacent / Hypotenuse)

→ toa (Tangent = Opposite / Adjacent)

The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:

→ sin(33°) = $\frac{x}{14}$

→ x = sin(33°) × 14

→ x ≈ 7.6

The length of AC is 7.6 centimeters.

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3 years ago

A candy store uses a 50% markup on cost. Find out the owners cost of a candy bar that sells for $1.50.

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Answer:

The owners' cost of the candy bar is $1

Step-by-step explanation:

Assume that the owners' cost of the candy bar is 100%

∵ The owners' cost of the candy bar is 100%

∵ The candy store uses a 50% markup on cost

∵ The selling cost = owners' cost + markup

∴ The selling cost = 100% + 50% = 150%

∵ The candy bar sells for $1.50

→ That means 1.50 is 150% of the owners' cost

∴ 1.50 = 150% × owners' cost

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3 years ago

Ada, Betty, Chris, and David have $45 in total. If Ada gets $2 from Betty, Chris triples his money, and David's money is cut by

masya89 [10]

The amount of money Ada have initially is $9.25 and this can be determined by forming the linear equation.

Given :

Ada, Betty, Chris, and David have $45 in total.
If Ada gets $2 from Betty, Chris triples his money, and David's money is cut by half, four of them have the same amount.

The following steps can be used in order to determine the money Ada have initially:

Step 1 - Let the total money of Ada be 'a', Betty be 'b', Chris be 'c', and David be 'd'.

Step 2 - The linear equation that represents the total money they have is given by:

a + b + c + d + = 45 -- (1)

Step 3 - Now, after Ada gets $2 from Betty, Chris triples his money, and David's money is cut by half, four of them have the same amount of money.

Step 4 - Let the amount of money they all have be 'x' then:

4x = 45 ---- (from equation (1))

x = $11.25

Step 5 - The initial amount of money Ada have is:

x = a + 2

11.25 = a + 2

11.25 - 2 = a

a = $9.25

So, Ada have $9.25 initially.

For more information, refer to the link given below:

brainly.com/question/2263981

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