Solve for x:<br><br> 2x+8=11x+25

The base of a triangle is one third as long as its height. if the area of the triangle is 6 square meters, how long is its base

KIM [24]

The answer is:  " 2 m" .
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Explanation:
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The formula for the area, "A" , of a TRIANGLE is:
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A = (1/2) * b * h ; or, write as: " A = (b * h) / 2 " ;
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in which: A = area of triangle;
b = length of base;
h = [perpendicular] height .
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We are given: "b = 1/3 h = h/3" ;
"A = 6 m²: "

We are asked to solve for "b" ;

So: "A = ( b * h) / 2 " ;

→ Re-arrange the equation to isolate "b" on one side of the equation ;

→ "A = ( b * h) / 2 " ; ;

Multiply EACH SIDE of the equation by "2" ;
→ 2 * A = { ( b * h) / 2 } * 2 " ;

to get:

→ 2A = b * h ;

↔ b * h = 2A ;

NOTE: Calculate "2A" ; as follows: " 2A = 2* 6 m² = 12 m² " ;

→ b * h = 12 m² ;

Note: "b = h/3 " ;

So rewrite:

→ "b * h = 12 m² ;

as: (h/3) * h = 12 m² ;

→    $\frac{h}{3}$ * $\frac{h}{1}$ = 12 m² ;

→ $\frac{(h*h)}{(3*1)} = \frac{h^2}{3} =$ = 12 ;

→ Now, we can solve for "h" ; {and then, solve for "b" }..
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We have: \frac{h^2}{3} = [/tex] = 12
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  → h² = 12 * 3 ;

→ h² = 36 ;

Now, take the positive square root of EACH SIDE of the equation;
to isolate "h" on one side of the equation; & to solve for "h" ;

  → +√(h²) = +√36 ;

  → h = 6 m ;

Now, we can solve for "b" ;

b = h / 3 = 6 m / 3 = 2 m .

→ b = 2 m .
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The answer is: " 2 m" .
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Let us check our answer:
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A = (b * h) / 2 ;

→ 6 m² = ? (2 m * 6 m) / 2 ?? ;

  → 6 m² = ? (12 m²) / 2 ?? Yes!
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3 0

4 years ago

Question 11

AysviL [449]

Answer The option C
Y^ - 5. 5 less means subtraction

3 0

4 years ago

Graph the equation 4x+8y=24

OlgaM077 [116]

Answer:

The slope would be -1/2 with a y-intercept of (0, 3).

I hope this helped you find the answer to your problem.

3 0

3 years ago

Could use some help please

Elanso [62]

For the first scenario, you’re looking at a compound interest problem. You’re given all the information you need, so just input it into the compound interest equation.

A = P(1 + r/n)^nt

P is your principal, aka starting amount. That’s the 12000 people you start with.

R is your rate of interest, aka how much your principal is expanding by. That’s the 5% growth rate each year, or 0.05.

N is the number of times your principal grows each year. That’s only once here.

T is however long the change lasts. In this scenario, its from 2006 to 2020, so 14 years.

Input all this in and solve for A, which is your total amount.

A = 12,000(1 x 0.05/1)^(1 x 14) = 23,759.18

Since I doubt you can have 1/5 of a person, you round this down to 23,759, which is your answer.

I’d like to help with your second problem, but it’s cut off on the edge of the image, I can’t see all the numbers.

6 0

3 years ago

What is the value of 6 – (-8) + (-12) + 4?

zubka84 [21]

The value of 6 – (-8) + (-12) + 4

:6

7 0

3 years ago

Solve for x: 2x+8=11x+25