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cluponka [151]
3 years ago
9

If these two shapes are similar, what is the measure of the missing length b?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

b = 54 cm

Step-by-step explanation:

We can use proportions if the shapes are similar

Take the same side lengths over each other.

81   cm            b cm

----------- = --------------

24  cm           16 cm


Using cross products

81 *16 = 24*b

Divide each side by 24

81*16/24 = 24b/24

54 =b

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By solving a quadratic equation, it can be verified that

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What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing​ population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=-0. 4t^2+128t+1,200

For population to disappear, p =0

-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

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Adjoa buys a cat toy that costs 6 dollars and a bag of cat litter that costs 7 dollars. If sales tax is 8%, what is the total pu
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Step-by-step explanation:

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3 years ago
The sum of two consecutive integers is 211. Find the integers.
Len [333]

Answer:

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Step-by-step explanation:

x+(x+1)=211

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The following table shows the distance from school as a function time
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Answer:

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Step-by-step explanation:

Apply the formula for equation of a straight line;

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From the graph, the slope is negative where speed decreases with increase in time

Find the gradient by applying the formula;

m=\frac{y_2-y_1}{x_2-x_1}

Taking y₁=24, y₂=20, x₁=9, x₂=12

Then;

m=\frac{20-24}{12-9} =\frac{-4}{3}

write the equation of the function as ;

y=mx+c, c=36( the y-intercept when x=0) hence the equation is;

y=mx+c\\\\y=\frac{-4}{3}x+36

To get x-intercept, substitute value of y with 0

y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27

This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.

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4 years ago
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The equation would be 34 x 2x-187= y. 
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3 years ago
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