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xz_007 [3.2K]
3 years ago
14

How do i do 13 A and 13 C

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0
\bf c^2=a^2+b^2\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\ side\\
b=opposite\ side\\
-------------\\
\textit{since they're equal}\\
\textit{let's call them "u"}\\
a=u\qquad since\qquad a=b\\
b=u\\
--------\\

c=850
\end{cases}
\\ \quad \\
850^2=u^2+u^2\implies 850^2=2u^2\implies \cfrac{850^2}{2}=u^2
\\ \quad \\
\sqrt{\cfrac{850^2}{2}}=u\implies 
\begin{cases}
\sqrt{\cfrac{850^2}{2}}=a\\\\
\sqrt{\cfrac{850^2}{2}}=b
\end{cases}

now, for 13c
how much square feet will be covered? square feet means, Area,
namely, what is the area of that triangle?

well, now you know what sides "a" and "b" are,
area of a triangle is 1/2 b * h

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Answer: The amount is $14794.39 and the interest is $9794.39

Step-by-step explanation: If you deposit <em><u>$5000</u></em><u> </u>into an account paying <em><u>7.5%</u></em> annual interest compounded yearly , how much money will be in the account after <em><u>15 years</u></em>?

To find amount we use formula:

A-P(1+r/n) n*t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

P=$5000, r=7.5, n=1 and, t=15 years

After plugging the given information we have

A= $5000 (1+0.075/1)^1.15

A= 5000 *1.075^15

A=14794.39

To find interest we use formula  A=P+I'

since A= 14794.39  and P=5000

we have: A=P+I 14794.39=5000+I

I= 14794.39 -5000

I=9794.39

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Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

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\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

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3 years ago
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