Find the perimeter and area of a rectangle of cardboard measuring 9.3 cm by 10.6 cm Perimeter: cm Area: cm2
Answers
Answer:
- The area of the rectangle is 98.58
- Perimeter is 39.8 cm.
Step-by-step explanation:
Given:
Width of the rectangle =9.3 cm
Length of the rectangle = 10.6 cm
To find:
Perimeter of the rectangle=?
Area of the rectangle=?
Solution:
We know that,
Area of rectangle = length x breadth
Area of rectangle = 9.3 x 10.6
Area of rectangle = 98.58
Now,
Perimeter of rectangle = 2(length + width)
Perimeter of rectangle = 2(10.6 + 9.3)
Perimeter of rectangle = 2 x 19.9
Perimeter of rectangle = 39.8
Area: 98.58cm2
Hope it helps!
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If the factors of a polynomial are x+7 and x-3, what values of x make that polynomial 0?
Answers
a. 3:4=9:12
3×3:4×3=9:12
The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is
Answers
Answer:
Step-by-step explanation:
The equation \(8e^x - 1 = 0\) can be solved to find the value of \(x\).
To solve for \(x\), we need to isolate the exponential term, \(e^x\).
Here are the steps to solve the equation:
1. Add 1 to both sides of the equation to isolate the exponential term:
\(8e^x = 1\)
2. Divide both sides of the equation by 8:
\(\frac{{8e^x}}{8} = \frac{1}{8}\)
3. Simplify:
\(e^x = \frac{1}{8}\)
4. To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation:
\(\ln(e^x) = \ln\left(\frac{1}{8}\right)\)
5. Since \(\ln(e^x)\) and \(e^x\) are inverse functions, they cancel each other out:
\(x = \ln\left(\frac{1}{8}\right)\)
6. Use the properties of logarithms to simplify further:
\(x = \ln(1) - \ln(8)\)
7. Simplify:
\(x = -\ln(8)\)
Therefore, the solution for \(x\) in the equation \(8e^x - 1 = 0\) is \(x = -\ln(8)\).
Answers
w = c + di
zw = (a + bi)(c + di)
zw = a(c + di) + bi(c + di)
zw = a(c) + a(di) + bi(c) + bi(di)
zw = ac + adi + bci + bdi²
zw = ac + adi + bci + bd(-1)
zw = ac + adi + bci - bd
What is the measure of angle 1?
20°
42°
138°
160°
Answers
9514 1404 393
Answer:
42°
Step-by-step explanation:
The angles marked with x-expressions are alternate interior angles, so are congruent.
7x -2 = 6x +18
x = 20 . . . . . . . . add 2-6x
6x+18 = 6(20) +18 = 138
Angle 1 is supplementary to either of the x-expression angles, so is ...
∠1 = 180° -138°
∠1 = 42°
Answer:
42
Step-by-step explanation:
Answers
Answers
1)we have to calculate the first derived
f´(x)=8-6x
2) we have to equalizate the first derived to "0", and find out the value of "x".
8-6x=0
-6x=-8
x=-8/-6=4/3
3)we have to calculate the second derived
f´´(X)=-6<0 ⇒ at x=4/3 we have a maximum.
4) we find the value of "y"
f(4/3)=1+8(4/3)-3(4/3)²=1+(32/3)-(48/9)=57/9
Therefore:
at (4/3 , 57/9) have a maximum