MATHEMATICS HIGH SCHOOL

I don’t understand how to solve this problem??

Answers

Answer 1

Answer: i think every angle below 90 degrees

Answer 2

Answer:

3. Answer: complementary

That's the word for angles which add to ninety degrees.

4. Who's Christy? We missed part of the story here.

If the idea is that Christy noticed that the acute angles in a right triangle are complementary from some examples, that would indeed be an example of inductive reasoning.

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Solve the question: 12y = 132.
A. Y = 144
B. Y = 1/11
C. Y = 11/12
D. Y = 11

Answers

Answer is D. Y=11 12*y-(-132=0
12y+132=12•(y+11)

$12y = 132$

$(12y)/(12) = (132)/(12)$ $Divide \ both \ sides \ by \ 12$

$\boxed{\boxed{y=11}}$ $Solution$

Please help with question 6 (last one)❤️

Answers

Answer:

Hope this helps

Step-by-step explanation:

Answer:

First choice, 13

Step-by-step explanation:

1/16 times 208 = 208/16 = 13

Amy purchased 17 pencils and 18 pens for a fund-raiser at school and spent $61.50. Jocelyn purchased 10 pencils and 21 pens and spent $57. How much does each pencil cost?

Answers

Let,
pencils be "x"
pens be "y"

According to the question,
17x + 18y = 61.50 ----------> equation (1)
10x + 21y = 57 -----------------> equation (2)

Now,
Taking equation (1),
17x + 18y = 61.50
18y = 61.50 - 17x
y = (61.50 - 17x ) / 18 -----> equation (3)

Now, substituting the value of "y" in equation (2), we get,

$10x+21( (61.50-17x)/(18) )=57$

$10x+7( (61.50-17x)/(6) )=57$

$10x+ (430.50-119x)/(6)=57$

$10x* (6)/(6) + (430.50-119x)/(6)=57$

$(60x)/(6) + (430.50-119x)/(6)=57$

$(430.50+60x-119x)/(6)=57$

$430.50-59x=57*6$

$430.50-59x=342$

$59x=430.50-342$

$x=(88.5)/(59)$

$x=1.5$

Now,
Substituting the value of "x" in equation (3), we get,

$y =(61.50-17x)/(18)$

$y =(61.50-17(1.5))/(18)$

$y =(61.50-22.5)/(18)$

$y =(39)/(18)$

$y =2.17$

$y =2$ approx. (rounded)

So, Each pencil costs $1.5 and each pen costs $2.

Answer:

Each pencil costs $1.50 and each pen costs $2.00

Step-by-step explanation:

Express the number in polar form 4 - 4i

Answers

Polar form of a complex number is r( cos(theta) + i sin(theta) )
r is equal to the total distance created by the rectangular coordinates of the complex number
r = Root(4^2 + (-4)^2) = Root(32) = 4 Root(2)
To find theta, if a > 0, use arctan(b/a), where:
a = the first number
b = the second number
arctan (-4/4) = -45 degrees (-0.7854 radians)
Your answer is 4 Root(2) (cos(-45) + i sin(-45))

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01
B) 0.02
C) 0.04
D) 0.33