All categories

3 years ago

If teta is an angle in right angle triangle if tan teta = 3/4 then find sin teta?

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

Answer:

$\frac{3}{5}$

Step-by-step explanation:

The adjacent sides are 3 and 4. Thus the hypotenuse is: (by Pythagoras Theorem)

$=\sqrt{3^2+4^2}$

$=\sqrt{25}$

$=5$

Now by definition of $\sin$, we get:

$\sin \theta= \frac{\text{opposite}}{\text{hypotenuse}}=\frac{3}{5}$

You might be interested in

Cathy used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the t

aliya0001 [1]

Answer:

blue marble 12/50. tails 20/50

Step-by-step explanation:

12/50×20/50 =240/2500= 12/125 =9.6%

5 0

2 years ago

ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices

tekilochka [14]

Part 1

Using the distance formula,

$AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}$

So, the measure of the longest side is 6 units.

Part 2

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that $AB=\sqrt{34}$

Using the distance formula,

$AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3$

So, ABD is a scalene triangle.

Part 3

From part 2, we know that the length of side AD is 5 units.

6 0

1 year ago

Which statement can be used to justify the fact that to write angles are suppleMentry select two opinions

PilotLPTM [1.2K]

Answer:

Which statement can be used to justify the fact that to write angles are suppleMentry select two opinions== 3 and 6

4 0

2 years ago

Find the value of 16% of 174

Nadya [2.5K]

Answer:

16% of 174 = 27.84

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

4 0

2 years ago

Calculate a) 20% of £150 b) 15% of 80 kg c) 85% of 2 500 m

GaryK [48]

Step-by-step explanation:

$p\%=\dfrac{p}{100}$

$a)\\20\%=\dfrac{20}{100}=\dfrac{2}{10}=0.2\\\\20\%\ of\ \£150\to0.2\cdot\£150=\£30\\\\b)\\15\%=\dfrac{15}{100}=0.15\\\\15\%\ of\ 80kg\to0.15\cdot80kg=12kg\\\\c)\\85\%=\dfrac{85}{100}=0.85\\\\85\%\ of\ 2500m\to0.85\cdot2500m=2125m$

6 0

3 years ago

If teta is an angle in right angle triangle if tan teta = 3/4 then find sin teta? ​

If teta is an angle in right angle triangle if tan teta = 3/4 then find sin teta?