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NNADVOKAT [17]
2 years ago
9

A tree casts you say shadow that is 9 feet long at the same time a person standing nearby casts a shadow that is 3 feet long if

the person is five point feet tall how tall is the tree

Mathematics
1 answer:
inna [77]2 years ago
6 0

we have that

Applying proportion

x/9=5.5/3

solve for x

x=9*(5.5/3)

x=16.5 ft

therefore

<h2>the answer is 16.5 ft</h2>
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​Use the compound interest formula to compute the balance in the following account after the stated period of​ time, assuming in
katrin2010 [14]

The balance in the account after 13 years is $8233.79.

<h3>Compound interest: Calculating balance in an account</h3>

From the question, we are to use the compound interest formula to compute the balance in the account

From the compound interest formula, we have that

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

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $7000

r = 3.3%= 0.033

n = 1

t = 13

Putting the parameters into the formula

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

A = 7000(1 + 0.033/1)^(1×5)

A = 7000(1 + 0.033)^5

A = $8233.79

Hence, the balance is $8233.79

Learn more on Compound interest here: brainly.com/question/25545513

#SPJ1

6 0
2 years ago
Draw the graph of the line that is perpendicular to Y= 4X +1 and goes through the point (2, 3)
spayn [35]

Given:

\begin{gathered} y=4x+1 \\ \text{ point }(2,3) \end{gathered}

To find:

Draw a graph of a line that is perpendicular to the given line and passing through a given point.

Explanation:

As we know that relation between two slopes of perpendicular slopes of lines:

m_1.m_2=-1

Slope of given line y = 4x + 1 is:

m_2=4

So, the slope of line perpendicular to given line is:

m_2=-\frac{1}{4}

Also, so line equation that is perpendicular to given line is:

y=-\frac{1}{4}x+c...........(i)

Also, the required line is passing thorugh given point (2, 3), i.e.,

\begin{gathered} 3=-\frac{1}{4}(2)+c \\ c=3+\frac{1}{2} \\ c=\frac{7}{2} \end{gathered}

So, line equation that is perpendicular to given line is:

y=-\frac{1}{4}x+\frac{7}{2}

The required graph of line is:

8 0
2 years ago
X2+11x-26=0<br> X2 - 25 = 0
Oksanka [162]
X² + 11x - 26 = 0
x² - 25 = 0

(x + 13)(x - 2) = 0
(x + 5)(x - 5) = 0

x = -13
x = 2
x = -5
x = 5
8 0
3 years ago
I need help with this I don't ever understand rounding.
ollegr [7]

Answer: 1.12

Step-by-step explanation:

Here 1.79 -0.67 = 1.12 ( if we subtract from the large  positive number to a minimum number then it's answer always should be positive value )

Now we are looking for the rounding figure with is very near of it which is 2 decimal or percentage value

For example :

1.444- 0.67 = 0.774 ( Here last digit is 4 so its round will be 0.77)

1.444-0.677 = 0.767 ( Here last digit is 7 so its round will be 0.77)

So we will round the value if it's last digit is greater than or equal to 5 value.

7 0
3 years ago
Write the recurring decimal 0.4 as a fraction in its simplest form.
Ugo [173]

Answer:

2/5

Step-by-step explanation:

0.4 = 4/10 which in simplest form is 2/5

8 0
3 years ago
Read 2 more answers
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