All categories

3 years ago

Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ

Mathematics

1 answer:

IgorLugansk [536]3 years ago

8 0

Answer:

5/13

Step-by-step explanation:

According to SOH CAH TOA

cos theta = adj/hyp = -12/13

Get the opposite using pythagoras theorem

13^2 = (-12)^2 + opp^2

169 = 144 + opp^2

opp^2 = 169-144

opp^2 = 25

opp = 5

Get sin θ

sin θ = opp/hyp

sin θ = 5/13

hence the value of sin θ is 5/13

You might be interested in

A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how

vagabundo [1.1K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A man invested one fifth of his money at 4%, half of his money at 5%, and the rest of his money at 3.5%. If his total annual inv

Ksivusya [100]

The man invested 1/5 of the money at 4/100. Which says he earns 4/500 of his total money on one month.

He also invested 1/2 of the money at 5/100. Which means he earns 5/200 of his total money per month.

For the last part, he spent the rest of the money which is: x + 1/5 + 1/2 = 1
Make the denominators equal: x + 2/10 + 5/10 = 10/10
Add like terms: x + 7/10 = 10/10
Substract 7/10: x=3/10

He gave this money for 3.5/100 interest. Which equals 10.5/1000 of his total money.

When you add the three values: 4/500 + 5/200 + 10.5/1000
Make denominators equal: 8/1000 + 25/1000 + 10.5/1000
Add the like terms: 43.5/1000

This means the man's money's 43.5/1000 is equal to $870

Set the values equal: 43.5x/1000 = 870
Make the denominators equal: 43.5x/1000 = 870,000/1000
Multiply with 1000: 43.5x = 870,000
Divide both sides by 43.5: x = 20,000

The man's total money is $20,000

5 0

4 years ago

Write an equation from the table.

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

3 years ago

Please help with this

DIA [1.3K]

Sorry i cant see the picture so well

5 0

3 years ago

Read 2 more answers

Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ​

Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ