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
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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
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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.