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GrogVix [38]
3 years ago
8

Please help brainliest for correct answer

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer: i think its a or d

Step-by-step explanation:hope

i helped

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"Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.
Contact [7]
A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².

1^o\\5\leq10\leq x\\\\\left\{\begin{array}{ccc}5+10 \ \textgreater \  x\\5^2+10^2 \ \textgreater \  x^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \  15\\ x^2 \ \textless \  125\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \  15\\ x \ \textless \  \sqrt{125}\approx11.1\end{array}\right\\\\\boxed{x=11}\\\\2^o\\5\leq x\leq10\\\\\left\{\begin{array}{ccc}5+x \ \textgreater \  10\\ 5^2+x^2 \ \textgreater \  10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \  5\\ x^2 \ \textgreater \  75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \  5\\ x \ \textgreater \  \sqrt{75}\approx8.7\end{array}\right\\\boxed{x=9}

3^o\\x\leq5\leq10\\\\\left\{\begin{array}{ccc}x +5 \ \textgreater \  10\\ x^2+5^2 \ \textgreater \  10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x\in\O}\\\\Answer:\boxed{x=9\ or\ x=11}\to your\ answer:\boxed{\boxed{x=11}}
8 0
3 years ago
Read 2 more answers
A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price
Gnom [1K]

Answer:

The new price of the books = $60.75

Step-by-step explanation:

  • As the original price is: $45

As the markup is: 35% = 35/100 = 0.35

The Markup on the original price is:

0.35 × 45 = $15.75

Hence, the new price of the boots:

$45 + $15.75 = $60.75

Therefore, the new price of the books = $60.75

6 0
3 years ago
How do you round 32.697 to the nearest one tents and hundreths.
natulia [17]
Neaest tenths is 32.7
6 0
4 years ago
Read 2 more answers
Si se invierten $ 500 a una tasa de 5% anual. Hallar el valor futuro a 3 años si el interés es compuesto trimestralmente.
9966 [12]

Answer:

the future value is $5800.38

Step-by-step explanation:

Given that

The invested amount i.e present value is $500

The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%

The time period is 3 per year so for quartely it is 3 × 4 = 12

We need to find out the future value

So as we know that

Future value = Present value × (1 + rate of interest)^time

= $500 × (1 + 0.0125)^12

= $580.38

hence, the future value is $5800.38

5 0
3 years ago
What is the circumference of the circle if r = 3.5 feet? Use 22 7 for π.45 pts
Natasha_Volkova [10]
We know, Circumference of a Circle = 2πr
C = 2 * 22/7 * 3.5
C = 2 * 22/2
C = 2 * 11
C= 22

In short, Your Answer would be 22 Feet 

Hope this helps!
6 0
3 years ago
Read 2 more answers
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