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rusak2 [61]
3 years ago
13

A tree has a shadow that is 9 feet long Otis is 4 feet tall and is standing next to the tree Otis has a shadow that is 4.5 feet

long how tall is the tree

Mathematics
2 answers:
Scilla [17]3 years ago
8 0

The tree is 8 feet tall.

Triss [41]3 years ago
5 0

Answer: 8 feet.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. First, you can draw the diagram shown in the image attached.

3. Now, you must use proportions and solve for x, which is the height of the tree:

\frac{x}{9}=\frac{4}{4.5}\\x=\frac{(4)(9)}{4.5}\\x=\frac{36}{4.5}\\x=8

4. As you can see, the height of the tree is 8 feet.


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3 0
2 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
If it is 5:00 pm in Bloomington, OH, what time is it in St. Louis, MO?
insens350 [35]

Answer:

4:00. I am sure that it is 4 o clock!

Step-by-step explanation:

it is 4:00

8 0
3 years ago
Find the quotient of `(2i(4+5i)(4-5i))/(4+i)`, and express it in the simplest form.
DIA [1.3K]

Answer:

(328i + 82)  /  17

Step-by-step explanation:

`(2i(4+5i)(4-5i))/(4+i)

= (2i(16 - 25i^2)) / (4 + i)

= (2i( 16 + 25) )) / (4 + 1)        [Note:- i^2 = -1]

=  82i / (4 + i)

= 82i(4 - i) / (4 + i)(4 - 1)

= 328i  + 82 /   (16 - i^2)

= (328i + 82)  /  17

5 0
4 years ago
help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! help!! he
OleMash [197]

Answer:

a = 15

b = -10

Step-by-step explanation:

Here, we want to solve the system of linear equations

Firstly, let us multiply the first equation through by 10

2a - 5b = 100 ••••(i)

from the second equation;

a = 29 + b

Substitute this into i

2(29 + b) - 5b = 100

58 + 2b -5b = 100

-3b = 100-58

3b = 42

-b = 42/3

-b = 14

recall;

a - b = 29

a - (-14) = 29

a + 14 = 29

a = 29-14 = 15

8 0
2 years ago
Read 2 more answers
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