All categories

3 years ago

Use ABC to find the value of sin A. a. 12/37 b. 37/12 c. 35/37 d. 12/35

Mathematics

1 answer:

FromTheMoon [43]3 years ago

4 0

Answer:

a. 12/37

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

Sin = Opposite/Hypotenuse

sin(A) = BC/AB = 12/37

You might be interested in

A local boutique sells water bottles for a set price, plus an additional fee for each letter that customers would like engraved

lesantik [10]

Answer:

y = 0.35x + 18.99

5 0

2 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

2 years ago

Identify the variables in the graph describe how the variables are related

Alex17521 [72]

The time(h), would be the independent variable and the temperature(C) would be the dependent variable.

3 0

3 years ago

A person is 2 meters tall casts a shadow 6 meters long. At the same time, a flagpole casts a shadow 24 meters long. How tall is

Alexandra [31]

Answer:

8 meters

Step-by-step explanation:

Given that:

Height of person = 2metres

Length of person's shadow = 6 meters

Height of flagpole =?

Length of flagpole shadow = 24 meters

Height of person = length of person's shadow

Height of flagpole = length of person's shadow

2 = 6

x = 24

Cross multiply

6x = 48

x = 48 / 6

x = 8 meters

4 0

2 years ago

Sara wants to keep her phone bill under $40 each month. There is a flat fee of $34 and she is charged $0.05 per text message, t.

alukav5142 [94]

Answer:

320 messages

Step-by-step explanation:

20 messages per dollar,

20 x 16 equals 320

8 0

2 years ago