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2 years ago

9

What is the solution to this equation? a/6-11=25

1 answer:

ololo11 [35]2 years ago

6 0

Answer:

a=216

Step-by-step explanation:

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HELP What is the length of FC?

Alex17521 [72]

It’s 12.6, the top and bottom sides are parallel to each other.

5 0

2 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Solve for x.<br> 8 + x = -4<br> Answer:

shutvik [7]

Answer:

x = -12

Step-by-step explanation:

Let's solve your equation step-by-step.

8+x=−4

Step 1: Simplify both sides of the equation.

x+8=−4

Step 2: Subtract 8 from both sides.

x+8−8=−4−8

x=−12

7 0

3 years ago

Read 2 more answers

What is the value of x when the Richter scale rating is 7.9 round your answer to the nearest

Oksi-84 [34.3K]

If no base is stated, then assume base 10
$log(x)=log_{10}(x)$
rememer
$a=log_b(c)$ translates to $b^a=c$

so
$r=log(x)$ or
$r=log_{10}(x)$ translates to $10^r=x$

so when r=7.9, what is x
$10^r=x$
$10^{7.9}=x$
79432823.472428=x
round to nearest ???
thousanth? 79432823.472=x
hundreth? 79432823.47=x
tenth? 79432823.5=x

4 0

3 years ago

Sally read 13 books during this month. her brother read 7 books. one fourth out of all books they read were non fiction. how man

AveGali [126]

Sally read 3.25 and her brother read 1.75 non fiction

they all read 5 non fiction books all together

7 0

3 years ago