Answer:
the first one i think
Step-by-step explanation:
Answer:
area= 1/2*(h*b) h- height, b- base
the triangle is isosceles (denoted by the 2 dashes on the sides of the triangle)
so they are equal in length
angles in triangle = 180
so 38+38=76
180-76=104
base=24
divide the triangle in the center
so now triangle 1(left) the base = 12
and triangle 2(right) the base = 12
use trigonometric ratios
in this we need to find the height
which is opposite of 38,
we already have the adjacent =12
so the ratio is Tan (Tangent Opposite/Adjacent)(TOA)
Tan38= (12/h)
multiply by h
h*Tan38=12
h=12/tan38 = 15.35929959
Answer:
$1050
$54,600
Step-by-step explanation:
In this question, we are looking at calculating two things. We want to calculate the amount of commission made in a week and the amount made in a year.
Firstly, to calculate the amount of commission she made last week, we simply find the percentage.
Mathematically, this is equal simply to:
14% of $7,500 = 14/100 * 7500 = $1050
She made a commission of $1050 last week
Now, we are told this is the average she makes per week. We now want to calculate how much she makes per year. To do this, what we do is to multiply what she had made in a week by the number of weeks in a year.
The number of weeks in a year is 52. The amount she made is just 52 * $1050 = $54,600
Answer:
10y-11
Step-by-step explanation:
Answer: ![70a+21b](https://tex.z-dn.net/?f=70a%2B21b)
Step-by-step explanation:
By definition, equivalent expressions have the same value but they look different.
In order to solve this exercise you need to remember:
1) The multiplication of signs:
![(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-](https://tex.z-dn.net/?f=%28%2B%29%28%2B%29%3D%2B%5C%5C%28-%29%28-%29%3D%2B%5C%5C%28-%29%28%2B%29%3D-%5C%5C%28%2B%29%28-%29%3D-)
2) According to the Distributive property:
![a(b+c)=ab+ac\\\\a(b-c)=ab-ac](https://tex.z-dn.net/?f=a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5Ca%28b-c%29%3Dab-ac)
In this case you have this expresion:
Then, in order to find an equivalent expression to
you need to simplify it applying the Distributive property (Remember that you must multiply each term inside the parentheses by 7)
Therefore, through this procedure you get the following equivalent expression that shows the sum of exactly two terms:
![7(10a+3b)=(7)(10a)+(7)(3b)=70a+21b](https://tex.z-dn.net/?f=7%2810a%2B3b%29%3D%287%29%2810a%29%2B%287%29%283b%29%3D70a%2B21b)