MATHEMATICS HIGH SCHOOL

Find cos theta if csc theta = square root 5

Answers

Answer 1

Answer:

Answer:

cos theta = adjacent/hypotenuse = $(2)/(√(5) )$

Step-by-step explanation:

csc theta = hypotenuse/opposite = $√(5)$ /1 (reciprocal identity)

1^2 + b^2 = $√(5)$ ^2 (pythagorean theorem)

b^2 = 5-1

b = 2

cos theta = adjacent/hypotenuse = 2/ $√(5)$ (quotient identity)

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A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth $38. How many of each type of bill does he have?

Answers

They have 6 $5 bills and 8 $1 bills.

There are 7 $1 bills and 8 $5 bills.

Can someone help me fast

Answers

Answer:

(JI)//(LK)

∠JMI opposed by the vertex therefore equal to ∠JMN = (18-2x)°

∠JMN=∠MNK (corresponding angles)(48-2x)°

∠LNH=∠MNK(opposed by the vertex

54-8x=48-2x

-8x+2x=48-54

-6x=-6

x=1

x=1°

Step-by-step explanation:

The sum of 3 consecutive even numbers is 42. The sum can be respresented by n+(n+2)+(n+4)=42. What does n represent?

Answers

Answer:

Step-by-step explanation:

n+(n+2)+(n+4)=42

3n+6=42

3n=42-6=36

3n=36

n=13

13+14+15=42

How do i solve each proportion?

Answers

You have to cross multiply (multiply the numerator of the first by the denominator of the second and the numerator of the second by the denominator of the first).

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[19]

$(x+4)/(3) = (4)/(10)$

$10x+40=12$

$10x = -28$

$x=-2.8$

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[21]

$(4)/(n+8) = (10)/(8)$

$32 = 8n + 64$

$8n = -32$

$n=-4$

$19) (x + 4)/(3) = (4)/(10) \n \n x + 4 = (4)/(10) * 3 \n \n x = 1.2 - 4 = -2.8 \n \n x = -2.8 \n \n \n 20) (4)/(n+8) = (10)/(8) \n \n 32 = 8n + 64 \n \n 8n = 32 -64 = -32 \n \n 8n = -32 \n \n n = -4$

What is the discriminant of the polynomial 4x^2+4x+1A.) -12
B.) -4
C.) 0
D.) 32

Answers

Answer:

C.) 0

Step-by-step explanation:

ax^2+bx+c

discriminant

b^2 -4ac

4^2-4*4*1

16-16

Answer:

$\Large \boxed{\mathrm{\bold{C.} \ 0}}$

Step-by-step explanation:

The polynomial is given:

$4x^2+4x+1$

The polynomial is in the form ax² + bx + c.

We can use the discriminant formula:

$b^2-4ac$

Plugging in the values and evaluating.

$4^2-4(4)(1)$

$16-16$

$0$

The discriminant is 0.

Find f(a), f(a+h) and the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0. F(x)= 2x/ x-1

Answers

First.

Calculate f'(x) = (2x/x-1)' = (-2)/ $(x-1)^(2)$ ; when x is not 1;

Second.

Calculate f'(0) = -2 => the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0 is -2;

Third.

f(a) = 2a/a-1; f(a+h) = (2a+2h)/(a+h-1);

Answer:

Step-by-step explanation:

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