Mathematics High School

## Answers

**Answer 1**

Use the special triangle 30-60-90 degrees which has side Hyp = 2 , Opp = 1 and adj = sqrt3

so sin O = opp/hyp = 1/2

cos O = adj / hyp = sqrt3 / 2

tan O = opp/adj = 1 / sqrt3 - or we could write this as sqrt3 / 3

## Related Questions

Which is the quadratic variation equation for the relationship? y varies directly with x2 and y = 36 when x = 3. y = 4x2 y = 12x2 y = x2 y = x2

### Answers

Hello :

. y = 4x²

because : when x=3 ... y=4(3)²=36

The sears tower in chicago is 1450 feet high. a model of the tower is 24 inches tall what is ratio

### Answers

Convert 1450 feet to inches = 1740 inches

Tower = 24 inches

24/1740 = 2/145 .....This is the ratio of the model to the tower in inches.

Since the 1950's, air pollution and robberies have increased. The conclusion that air pollution causes robberies is

### Answers

Answer:

not justifiable, because population is another variable.

Step-by-step explanation:

This is a logical fallacy

Jen wants to save money for the future. Jen invests $700 in an account that pays an interest rate of 6.75% How many years will it take for the account to reach $16,300. Round your answer to the nearest hundredth

### Answers

16300=700(1.0675)^t

Solve for t

t=log(16,300÷700)÷log(1.0675)

t=48 years

If the apy of a savings account is 2.8% and if the principle in the savings account we're $2600 for an entire year what will be the balance of the savings account after all the interest is paid for the year?

### Answers

A=2,600×(1+0.028)

A=2,672.8

Rewrite the function y = x2 - 6x + 14 in vertex form, y = (x - h)2 + k.

### Answers

y = x^2 - 6x + 14

y = x^2 - 2 . (x) . (3) + 9 + 5 ....... (using (a-b)^2 = a^2 -2ab+b^2)

y = (x - 3)^2 + 5 ...this is your answer

Divide the coefficient of x by 2 -6 / 2 = -3;

y = (x - 3)^2 + k

y = (x - 3)^2 - 9 + 14

y = (x-3)^2 + 5 is ur answer

If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

### Answers

Hello:

let : f(x) =x3 − 6x2 + kx + 10

If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0

(-2)^3-6(-2)² +k(-2)+10=0

-8 -24-2k +10 = 0

-2k =8+24-10

-2k = 22

k = -11

the ordered pairs below represent a linear relation between x and y. (-3,0) (-2,4)(-1,8)(0,12)(1,16)(2,20). which of the following is a correct statement about this relation

### Answers

Answer:

Step-by-step explanation:

Given are ordered pairs that represent a linear relation between x and y. (-3,0) (-2,4)(-1,8)(0,12)(1,16)(2,20).

We find that for a unit increase in x, y increases 4 units for all x.

i.e. slope is constant.

So the relation is linear.

The linear relation would be of the form

y = mx+b where m represents the slope, and b y intercept

Here m =4 and b = 12

So the relationship is linear and represented by the equation

What are the awensers?

C(r), the circumference of a tire, is based on the radius, r. What is an appropriate domain for the function?

### Answers

Given:

C (r) is the circumference of a tire

with radius, r

The appropriate domain for the function is needed.

First, we set-up the equation for the circumference of a circle, assuming that the tire is a perfect circle:

C (r) = 2 * pi * r

the domain of the function is all values of r greater than zero. It can also be written as [1, infinity)

The sizes of the angles, in degrees, of the triangle are 2x+7, 2x and x+18. (a) Use this information to write down an equation in terms of x.

### Answers

Hello :

2x+7+2x+x+18 = 180

Assessment timer and count Assessment items

During soccer practice, Alexis tries to score a goal 3 times. For each attempt, the coach writes either G (goal) or N (no goal).

Enter the missing outcome possibilities in each box to complete the list of all possible outcomes for the 3 kicks.

{GGG, GGN, GNG, ___, NNG, NGN, GNN,___ }

### Answers

NGG and NNN

Hope it helps :D

NNG and NNN

....................

An investment account began with a balance of $650. At the end of the first year, the account showed a huge loss. The account statement shows that the rate of decline was 42%. What is the new balance on the account? 0.546

273

377

2730

### Answers

650×(1−0.42)

=377

.............

Answer:

377 is your answer !

Step-by-step explanation:

I had it in my lesson and I got it right!

have a great day!

have a great week!

have great month!

have a great year !

have a great life!

Identify the type of transformation given the rule M(x, y) = (x, –y).

### Answers

Reflection about x axis

Reflection across the x-axis

hope it helps

-------------------------------

Which of the following best describes (x + 6)(x – 6)

### Answers

Answer:The product of a binomial and a trinomial

Step-by-step explanation:

1) take x*x

2) x*-6

3)6*x

4)6*-6

answer x^2-36

Circle's area with radius 25 m

### Answers

25*3.14

78.5

hope this helps yw

If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(2). 192 72 32 24

### Answers

F ( x ) = k * x²

f ( 4 ) = 96

96 = k * 4²

96 = 16 k

k = 96 : 16

k = 6

f ( 2 ) = 6 * 2² = 6 * 4 = 24

ANSWER D

Answer:

D

Step-by-step explanation:

i know im really late

PLZ HELP WILL GIVE 10 PTS AND BRAINLIEST!!! Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.

Which equation can be used to find m, the midpoint of the two numbers?

(m – 5)(m + 5) = 99

(m – 10)(m + 10) = 99

m2 – 25 = –99

m2 – 100 = –99

### Answers

"Two numbers are 10 units away in different directions from their midpoint, m, on a number line" so these two numbers are 20 units apart (2*10 = 20) if x and y are the two numbers, then x-y = 20 where x is the larger number we also know that x*y = -99 so one of the numbers is positive while the other is negative. i think its (x-10)(x+10)=-99. hope i could help.

Answer:

m2 – 100 = –99 or D

Hope this helps!

The relative growth rate for a certain type of mutual fund is 15% per year. An account is opened with a balance of $3,000. How much is the mutual fund worth in 5 years? In your final answer, include all of your calculations.

### Answers

A=3,000×(1+0.15)^(5)

A=6,034.07

Answer:

I was gonna answer but the dud before me already did

Step-by-step explanation:

Problem Page Karen made a shirt using

1/3

yards of red fabric and

1/4

yards of yellow fabric. How many yards of fabric did she use in all?

Write your answer as a fraction in simplest form.

### Answers

20.5/3.25 = 6.3

so only six with a little cloth left over

In the diagram, all measurements are in centimetres. The lengths of the side of the quadrilateral are 2r+5, 2r, 4r-3 and r. Find an expression, in terms of r, for the perimeter of the quadrilateral. Give your expression in its simplest form.

### Answers

The perimeter is simply the sum of all sides so:

p=2r+5+2r+4r-3+r combine like terms...

p=9r+2

Answer:

The expression for the perimeter of the quadrilateral is cm.

Step-by-step explanation:

The lengths of the side of the quadrilateral are .

Perimeter means the sum of all side lengths in any geometric figure.

If the perimeter is , then.....

So, the expression for the perimeter of the quadrilateral is cm.