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3 years ago

A tree casts a 38 foot shadow at the same time a boy casts a 9 foot shadow. if the boy is 5.5 feet tall, how tall is the tree?

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Answer: 23.2 ft

Step-by-step explanation:

The comparison is height to shadow, so the ratios can be written as height/shadow. One ratio represents the tree while the other represents the boy. The unknown value is the height of the tree, so x will fall in the numerator.

Find the cross products, set them equal, and simplify.

x/38=5.5/9

9⋅x=38⋅5.5

9x=209

Divide both sides by 9 to isolate the variable x.

x=23.2

mezya [45]3 years ago

7 0

Answer: 1,881 ft.

Step-by-step explanation: If you multiply 9 ft by 5.5 ft then you get 49.5 ft. So all you do after that is multiply 49.5 by 38 ft.

Hope this helped! (^_^)

Please mark BRAINLEST!!!

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3 years ago

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Lynna [10]

You have a function $y= \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)$ .
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$-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3$ .
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2 years ago

Anna has four kittens two of them are black Kevin has 10 kitchens Kevin and Annas kittens have the same ratio black kittens tota

Elan Coil [88]

Answer:

Kevin has 5 black kittens.

Step-by-step explanation:

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3 years ago

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Irina18 [472]

4x2-28x+49

Final result :

(2x - 7)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x2 - 28x) + 49

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4x2-28x+49

The first term is, 4x2 its coefficient is 4 .

The middle term is, -28x its coefficient is -28 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 4 • 49 = 196

Step-2 : Find two factors of 196 whose sum equals the coefficient of the middle term, which is -28 .

-196 + -1 = -197

-98 + -2 = -100

-49 + -4 = -53

-28 + -7 = -35

-14 + -14 = -28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -14

4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-7)

Add up the last 2 terms, pulling out common factors :

7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(2x-7) • (2x-7)

Which is the desired factorization

Multiplying Exponential Expressions :

2.2 Multiply (2x-7) by (2x-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2x-7) and the exponents are :

1 , as (2x-7) is the same number as (2x-7)1

and 1 , as (2x-7) is the same number as (2x-7)1

The product is therefore, (2x-7)(1+1) = (2x-7)2

Final result :

(2x - 7)2

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