Answer:
4m
Step-by-step explanation:
0.8x5=4
Answer:
-8a - 7b - 7c
Step-by-step explanation:
-8a - 2b - 10c - (5b - 3c)
Negate 5b and -3c
-8a - 2b - 10c - 5b + 3c = -8a - 7b - 7c
A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.
![cos 40=\frac{10}{Hypotenuse EG.}](https://tex.z-dn.net/?f=cos%2040%3D%5Cfrac%7B10%7D%7BHypotenuse%20EG.%7D)
B) Cos 40 =0.766.
Substituting tan40 value we have:
![0.766=\frac{10}{EG}](https://tex.z-dn.net/?f=0.766%3D%5Cfrac%7B10%7D%7BEG%7D)
EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D) ![Tan 40=\frac{EF}{10}](https://tex.z-dn.net/?f=Tan%20%2040%3D%5Cfrac%7BEF%7D%7B10%7D)
EF=8.39
E) Area of triangle EFG= ![\frac{1}{2}x base x height.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20base%20x%20height.)
A rea of the triangle = ![\frac{1}{2}x8.39x13.05](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx8.39x13.05)
Area= 54.75 square units.
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: ![Perimeter=2(length+width)](https://tex.z-dn.net/?f=Perimeter%3D2%28length%2Bwidth%29)
Putting values and making equation:
![244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16](https://tex.z-dn.net/?f=244%3D2w%2B2%28w%2B90%29%5C%5CSolving%3A%5C%5C244%3D2w%2B2w%2B180%5C%5C244%3D4w%2B180%5C%5CSwitching%5C%3Asides%5C%5C4w%2B180%3D244%5C%5CSubtracting%5C%3A180%5C%3Afrom%5C%3Aboth%5C%3Asides%5C%5C4w%3D244-180%5C%5C4w%3D64%5C%5CDividing%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A4%5C%5C%5Cfrac%7B4w%7D%7B4%7D%20%3D%5Cfrac%7B64%7D%7B4%7D%5C%5Cw%3D16)
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
The domain and range is [-4, 4] and [0, 4]
<h3 /><h3>What is Domain and range?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
x² + y² = 16
y = √16 - x²
For domain under root should not be negative quantity,
16 - x²≥0
16≥x²
So, x≤4 or x≥4
Thus, the domain is [-4, 4]
Range:
y is maximum at x=0, y=4
y is minimum at x=4, y=0
Thus, range = [0, 4]
Learn more about domain and range here:
brainly.com/question/12751831
#SPJ1