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suter [353]
3 years ago
12

What is the length of the third side of the window frame below?

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer:

D. 20 inches

Step-by-step explanation:

pythagorean theorem: a^2 + b^2 = c^2

the hypotenuse, the longest side, is equal to c.

plug in.

48^2 + b^2 = 52^2

2304 + b^2 = 2704

2304 - 2304 +b^2 = 2704 - 2304

b^2 = 400

sqrt(b^2) = sqrt(400)

b = 20

alexdok [17]3 years ago
3 0

Answer:

The answer is, D. 20 inches

hope this helps :)

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2 years ago
A certain motorcycle manufacturer has been building motorcycles for 98 years. Over that period, production has increased steadil
Reika [66]

Answer: The fraction would be 0.53.

Step-by-step explanation:

Since we have given that

r(t)=A.(1.05)^t

where, A is the constant initial production rate

t is the time.

For 98 years, the production rate in motorcycles per year would be

r(98)=A.(1.05)^{98}\\\\r(98)=A.119.27

For 13 years, the production rate in motorcycles per year would be

r(98-13)=r(85)=A.(1.05)^{85}\\\\r(85)=A.63.25

So, the fraction of their total production was built during the last 13 years would be

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5 0
3 years ago
julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will
tigry1 [53]

Answer:

The final cost for him is;

\text{ \$154.44}

Explanation:

Given that the ipod costs $220;

C=\text{ \$220}

The store gives a 35% discount, which means he will only pay 65% of the original cost;

100\text{\%- 35\% = 65\%}

The store price is;

\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}

Also he will need to pay additional 8% sales tax on the discounted price P;

\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}

The final cost he need to pay is the sum of the discounted price and the sales tax;

\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}

Therefore, the final cost for him is;

\text{ \$154.44}

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1 year ago
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natali 33 [55]

Answer:

-6.4

Step-by-step explanation:

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