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2 years ago

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Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to mat

h classes, 3 students do karate and piano, 5 go to math class and karate, and 3 do non. How many students do all 3

2 answers:

Rashid [163]2 years ago

6 0

There are twenty four students

Andrews [41]2 years ago

4 0

There are twenty four students that do all

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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.

Yakvenalex [24]

Answer:

AH = 1 or 4

CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

AH/BH = BH/CH

AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

AH·(5 -AH) = BH²

AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

AH² -5AH +4 = 0 . . . . in standard form

(AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

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masha68 [24]

Your answer should be 19>n+3

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2 years ago

What are the factors of 2a³ + a² + 2a + 1?

morpeh [17]

Answer:

The answer is (a²+1)(2a+1)

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1 year ago

miv72 [106K]

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3 years ago

The distance an airplane travels depends on how much time it spends flying. Which expression represents the distance the airplan

kogti [31]

Answer: B. $\text{Distance(20)}$

Step-by-step explanation:

The notation to express a dependent variable is given by :-

$Y(x)$ , where Y is depending variable which is dependent upon x ( independent variable).

The given statement : The distance an airplane travels depends on how much time it spends flying.

Here , Independent variable : Time

Dependent variable : Distance

Then , the notation to express distance (dependent variable) the airplane flies in 20 minutes is given by :-

$\text{Distance(20)}$

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