Answer:
4000 gm
Step-by-step explanation:
We can use ratios to solve
Change 8 m to cm
8m * 100cm/1m = 800 cm
6 cm 800 cm
------------- = ------------
30 grams x gm
Using cross products
6 * x = 800 * 30
6x = 24000
Divide by 6
6x/6 = 24000/6
x = 4000 gm
Answer:
-25 ≠ 21
Step-by-step explanation:
it looks like the question is asking you to solve 5x=4y+9 when given the ordered pair (-5,3)
you would substitute -5 for x and 3 for y in the equation
5(-5) = 4(3) + 9
-25 = 12 + 9
-25 = 21
the question is asking you to see if the left side is equal to the right side of the equation
-25 is not equal to 21, therefore (-5,3) is not a solution to the equation
Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:
x + 40 = 3x
Combine like terms
(x-x) + 40 = 3x - x
40 = 2x
Isolate x
40/2 = 2x/2
x = 20
Hope this helped!
The scale factor for the first one is 2.25
And for the second one it’s 7
I hope this helps :)
