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WARRIOR [948]
3 years ago
15

How do you solve a two step equation with a fraction

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0
-35 ok that is the answer
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The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm. What is the smallest possi
Veronika [31]

The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.

Use cosine theorem to determine the cosine of the largest angle:

15^2=x^2+(2x)^2-2\cdot x\cdot 2x\cdot \cos \alpha, where \alpha is the largest angle.

Then

225=x^2+4x^2-4x^2\cos \alpha,\\ \\\cos \alpha=\dfrac{225-5x^2}{-4x^2}=\dfrac{5x^2-225}{4x^2}.

Since \cos \alpha>0, then

\dfrac{5x^2-225}{4x^2}>0\Rightarrow 5x^2-225>0.

Divide this inequality by 5:

x^2-45>0,\\ \\(x-3\sqrt{5})(x+3\sqrt{5})>0,\\ \\x\in (-\infty,-3\sqrt{5})\cup (3\sqrt{5},\infty).

Note that 3\sqrt{5}\approx 6.71, then the smallest possible whole-number value of x is 7.

Answer: correct choice is B

6 0
3 years ago
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I need help with this please?
olga nikolaevna [1]
A. since they choose 4 people to form the committee and all the people chosen are teachers
from 5 teacher, we choose 4, 5C4
and
from 20 parents, we choose none, 20C0
5C4*20C0= 5

b. from 5 teacher choose 2, 5C2
and
from 20 parents choose 2, 20C2

5C2 * 20C2=1900

c.all parents
from 5 teachers choose 0, 5C0
and
from 20 parents choose 4, 20C4

5C0 * 20C4= 4845

d. from 5 teacher choose 1, 5C1
and
from 20 parents choose 3, 20C3

5C1 * 20C3= 5700
6 0
3 years ago
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the
horsena [70]

Answer: distributive property

Step-by-step explanation:

5(18)=2(18)+3(18)

18(2+3) = 2* 18+ 3*18

18*5 =  2* 18+ 3*18

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3 years ago
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Which answer choice best represents 3/15?
uysha [10]

Uhh... what are the options?

Here's some possible ones:

0.2

1/5

4 0
3 years ago
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What is 256 written as a power
Lapatulllka [165]
Written as a power of ten is 256.×10^0 or 2.56×10^1
7 0
4 years ago
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