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3 years ago

write an equation to find the number of students in mr.boggs homeroom if the total number of stdents is 90

1 answer:

4 0

The number of students in Mr. Boggs’s homeroom is equal to b. Add the total number of students in each class and set it equal to 90.

90 = b + 1.5(b + 2) + 15 + (2b – 9)

Use the Distributive Property, and collect like terms. 90 = b + 1.5b + 3 + 15 + 2b – 9

90 = 4.5b + 9

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3 years ago

Consider a triangle with angles 30o-60o-90o, with hypotenuse of length 2. Calculate the lengths of the other 2 sides and store t

kumpel [21]

Answer:

1.00 and 1.73

Step-by-step explanation:

1) Calculating the 1st and the 2nd leg using trigonometric function sine:

$sin (30^{0})=\frac{c}{2}\Rightarrow \frac{1}{2}=\frac{c}{2}\Rightarrow 2*\frac{1}{2}=2*\frac{c}{2}\Rightarrow c=1\\sin(60^0)=\frac{b}{2}\Rightarrow \frac{\sqrt{3}}{2}=\frac{b}{2}\Rightarrow b=\sqrt{3}\Rightarrow\: b\approx \:1.73$

Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.

$a^{2}=b^{2}+c^{2}\Rightarrow 2^{2}=b^{2}+1^{2}\Rightarrow 4-1=b^{2}\Rightarrow b=\sqrt{3} b\approx 1.73$

Sides

a hypotenuse: 2.00

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b leg: 1.73

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c leg: 1.00

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4 0

3 years ago

What is the degree of x^4-3x+2 A.3 B.2 C.4 D.5

Viktor [21]

The answer is C.

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3 years ago

Find the geometric mean of the pair of numbers 99 and 11. A) 968. B) 33. C) 43. D) 38

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Geometric Mean = √ (99 · 11) = √( 9 · 11 · 11 ) =
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Answer: B ) 33

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