Answer: 70cm³
EXPLANATION:
1/2 x base x height x 2 (this is to find the surface area of one of the triangular faces since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)
1/2 x base x height x 2
1/2 x 3 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>
1/2 x 18 ←<em> (multiply 3x3x2=18) </em>
9cm³ ←<em>(since 18 is 2x9 your answer is 9cm³)</em>
<em></em>
1/2 x base x height x 2 (this is to find the surface area of the other triangular face with different measurements and since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)
1/2 x base x height x 2
1/2 x 4 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>
1/2 x 24 ←<em> (multiply 4x3x2=24) </em>
12cm³ ←<em>(since 24 is 2x12 so your answer is 12cm³)</em>
<em></em>
Then next you have to find the surface area of one face of the rectangle and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath
A= 3x7= 21cm³
then find the area of the other rectangular face with different measurements and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath
A= 4x7= 28cm³
<u>FINALLY</u>
add all the areas of the faces you have found and you'll get the total surface area!
<u>9+12+21+28=70cm³</u>
Thank you! I hope you understood something and I hope you have a great day! good luck!
Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
Answer:
The answer to your question is there are 56 m²
Step-by-step explanation:
Data
height = 7 m
width = 2 m
length = 4 m
Process
To find the room of the dresser calculate the volume of a rectangular prism.
1.- Write the formula of a rectangular prism
Volume = height x width x length
2.- Substitution
Volume = 7 x 2 x 4
3.- Result
Volume = 56 m²
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m
(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>= 8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally
</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
</span>
C: m=4
<span>4. When the expression is factored x²-3x-18 completely,
</span>
one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)
</span>
Answer:122
Step-by-step explanation:
