Answer:
i hope this helps
Step-by-step explanation:
Answer:
x=-9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−6(x+1)−18=26+4
(−6)(x)+(−6)(1)+−18=26+4(Distribute)
−6x+−6+−18=26+4
(−6x)+(−6+−18)=(26+4)(Combine Like Terms)
−6x+−24=30
−6x−24=30
Step 2: Add 24 to both sides.
−6x−24+24=30+24
−6x=54
Step 3: Divide both sides by -6.
−6x
−6
=
54
−6
x=−9
Answer:
x=−9
The area of a triangle can be calculated using the following equation:
A = 1/2 (B x H)
Where B is the dimension of the base and H is the height of the triangle.
Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:
3.6 cm2 = 1/2 (6 cm) (H)
Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.
Answer: The numbers are: " 21 " and " 105 " .
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Explanation:
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Let "x" be the "one positive number:
Let "y" be the "[an]othyer number".
x = 1/5 (y)
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Given that the difference of the two number is "84" ; and that "x" is (1/5) of "y" ; we determine that "x" is smaller than "y".
So, y − x = 84 .
Add "x" to each side of this equation; to solve for "y" in terms of "x" ;
y − x + x = 84 + x ;
y = 84 + x ;
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So, we have:
x = (1/5) y ;
and: y = 84 + x ;
Substitute "(1/5)y" for "x" ; in "y = 84 + x " ; to solve for "y" ;
y = 84 + [ (1/5)y ]
Subtract " [ (1/5)y ] " from EACH SIDE of the equation ;
y − [ (1/5)y ] = 84 + [ (1/5)y ] − [ (1/5)y ] ;
to get:
[ (4/5)y ] = 84 ;
↔ (4y) / 5 = 84 ;
→ 4y = 5 * 84 ;
Divide EACH SIDE of the equation by "4" ;
to isolate "y" on one side of the equation; and to solve for "y" ;
4y / 4 = (5 * 84) / 4 ;
y = 5 * (84/4) = 5 * 21 = 105 .
y = 105 .
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Now, plug "105" for "y" into:
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Either:
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x = (1/5) y ;
OR:
y = 84 + x ;
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to solve for "x" ;
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Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
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Start with:
x = (1/5)y
→ (1/5)*(105) = 105 / 5 = 21 ; x = 21 ;
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So, x = 21; y = 105 .
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Now, let us see if this values hold true in the other equation:
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y = 84 + x ;
105 = ? 84 + 21 ?
105 = ? 105 ? Yes!
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The numbers are: " 21 " and "105 " .
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Answer:
C) 22 pi
Step-by-step explanation:
Here the diameter of the circle = 24.
Therefore, radius of the circle = 24/2 = 12 ft
Here we have to use the formula to find the arc length.
Arc length = (central angle / 360) * 2*pi*r
Central angle ABC = 360 - 30 = 330 degrees and radius (r) = 12
Now plug in these values in the formula, we get
Arc length ABC = (330/360) *2*pi*12
Now we have to simplify it.
= 11/12 *2 *pi*12
= 11*2*pi
Arc length of ABC = 22pi
Therefore, the answer is C) 22 pi
Hope you will understand the concept.
Thank you.
