Answer:
3/5 or 0.6
Step-by-step explanation:
Here, given the value of tan theta , we want to find the value of sine theta
Mathematically;
tan theta = 0pposite/adjacent
Sine theta = opposite/hypotenuse
Firstly we need the length of the hypotenuse
This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Let’s call the hypotenuse h
h^2 = 3^2 + 4^2
h^2 = 9 + 16
h^2 = 25
h = √(25)
h = 5
Now from the tan theta, we know that the opposite is 3
Thus, the value of the sine theta = 3/5 or simply 0.6
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first write down the equation we are going to solve.
( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6
To begin with, we will expand the brackets => [ ]
( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6
Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.
( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12
Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).
( - 9 / 3 )h = - 18
- 3h = - 18
h = - 18 / - 3
h = 18 / 3
h = 6
FINAL ANSWER:
Therefore, the answer is:
h = 6
Hope this helps! :)
Have a lovely day! <3
An algebraic expression that represent how much Mr. Green paid in all is 3(m + 1) + d
<h3 /><h3>Pet fish</h3>
The following represents the items bought
- Each bag has m mollies and 1 bala
- He bought 3 of these bags
The expression that represents the items in a bag is:

He bought 3 bags.
So, the total spent on pet fish is:

<h3>Fish food</h3>
A box costs d dollars.
This means that, the total amount Mr Green spent in the store is:

Read more about algebraic expressions at:
brainly.com/question/4344214
Answer:
wedf
Step-by-step explanation:
affwa
Answer: rhombus
Step-by-step explanation:
By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.
From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.
By the distance formula,

As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a <em>rhombus</em>