In right triangle XYZ, the tangent of acute angle X is 4. What is the secant of angle X?
Answer:
The secant of angle x; sec x = √17
Step-by-step explanation:
Here, given the tangent of an angle, we want to find the value of the secant
Mathematically;
sec^2 x = 1 + tan^2 x
This is from trigonometric identity
Thus;
sec x = √(1 + tan^2 x)
According to the question;
tan x = 4
So tan^2 x = 4^2 = 16
Thus;
sec x = √1 + 4^2
sec x = √17
Plzzzzzzzz helpppppppppp plzzz like really fast
20 POINTS AND WILL GIVE BRAINLIEST IF MORE THAN ONE ANSWER!
Find the amplitude, the EoA=y, the period, and the phase shift in terms of cosine for this graph.
Answer:
Step-by-step explanation:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
--------------------------------------------------
You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
What is the slope of the line represented by the equation 3x - 2y=5
Answer:
m = 3/2
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define function
3x - 2y = 5
Step 2: Rewrite
Subtract 3x on both sides: -2y = 5 - 3xDivide -2 on both sides: y = -5/2 + 3/2xRewrite: y = 3/2x - 5/2Step 3: Identify
Slope m = 3/2
y-intercept b = -5/2
A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer:
The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation and its graph is given below.
Explanation:
The total capacity of the pool is 20,000 gallon.
It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.
Let the time is defined by t. So, the volume of water in the pool after time t is defined as,
The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.
The maximum value of t is 12, since the time is always positive, therefore we can say that,
The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).
Answer:
the two points will be (0,5000) and (12,20000
Step-by-step explanation:
what is 5/2x-7=3/4x+14? help please
Answer:
x=12
Step-by-step explanation:
Question 8 (1 point)
(03.02 MC)
Given the function f(x) = 2(x + 6), find x if f(x) = 22. (1 point)
56
Ob
Сл.
38
Answer:
1 question: Question 8 (1 point) (03.02 MC) Given the function f(x) = 2(x + 6), find x if f(x) = 22. (1 point) 56 Ob Сл. 38
Step-by-step explanation:
Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3
Answer:
-3i + (6 x 9)
Step-by-step explanation:
The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The zeroes of the polynomial will be 1 + i, 1 – i, and 3.
Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).
Then the polynomial will be
(x – 1 – i)(x – 1 + i)(x – 3)
[(x – 1)² – i²](x – 3)
(x² – 2x + 2)(x – 3)
x³ – 2x² – 3x² + 2x + 6x – 6
x³ – 5x² + 8x – 6
More about the polynomial link is given below.
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−4y−4+(−3)
i need help solving this
Answer: The answer is negastive 11 although I am not one thousand percent sure that this is the answer, if it is not the correct anser then please tell me and I can get the corecct anwer for you!
Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent
Answer:
[tex]Eric= \$22.86[/tex]
[tex]Shiloh = \$17.14[/tex]
Step-by-step explanation:
Represent Eric with E and Shiloh with S;
[tex]E:S = 4:3[/tex]
[tex]Total = \$40[/tex]
Required
Determine the how much money each have
We have to convert the ratio to fraction;
For Eric, we have
[tex]Eric= \frac{E}{E + S} * Total[/tex]
[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]
[tex]Eric= \frac{4}{7} * \$40[/tex]
[tex]Eric= \frac{\$160}{7}[/tex]
[tex]Eric= \$22.86[/tex]
[tex]Shiloh = Total - Eric[/tex]
[tex]Shiloh = \$40 - \$22.86[/tex]
[tex]Shiloh = \$17.14[/tex]
How to do this question plz answer
Answer:
$6.00
Explanation:
10% of 200 is 20
20/30 = $.6666
Each parent gets $0.67 off.
$200/30 = $6.6666
$6.6666 ---> $6.67
6.67 - 0.67
= 6.00
Check:
6.00 * 30 = 180
200-180 = 20
Consider Brainliest! Hope I helped!
Answer:
Each parent pays an amount of £6.
Step-by-step explanation:
Cost of the hall = £200
Discount for parents = 10%
Cost of the hall for parents
= 200 - 10% of 200
= 200 - 10/100 × 200
= 200 - 10 × 2
= 200 - 20
= £180
If 30 parents share the cost equally,
Each parent has to pay
180/30
= 18/3
= 6
Your literature class will read 4 novels this year, chosen by class vote from a list of 7 possible books offered by the teacher.
a) How many different ways could the course unfold, given that it probably matters what order you read the books in?
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is
Answer:
a) 840 different ways
b) 35 different choices of books
Step-by-step explanation:
We know that our literature class will read a total of 4 novels this year.
All novels chosen by class vote from a list of 7 possible books offered by the teacher.
Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :
[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]
Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :
[tex](7).(6).(5).(4)=840[/tex] (I)
Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.
Continuing with the idea, we deduce the equation (I).
For item b) :
Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.
We define the combinatorial number as :
[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :
[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]
a) 840 different ways
b) 35 different choices of books
Pls help me
-18x + 30 = -150
Answer:
x=10
Step-by-step explanation:
-18x + 30 = -150
subtract 30 from both sides = -18x=-180
divide both sides by -18 = x=10
x=10
help please :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Answer:
c
Step-by-step explanation:
you do 520 divided by two hours
Answer:
208
Step-by-step explanation:
Since it made 520 dives in 5 hours you divide 520/5 which is 104
For two hours you multiply 104*2 = 208
ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65° and the temperature will increase the rate of 10° per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven t minutes after being turned on
Answer:
The temperature six minutes after being turned on is 125°.
T(t)= 65° + t * 10°
Step-by-step explanation:
Linear Equations
Ellie sets the temperature of the oven to 65°. The oven will increase the temperature at 10° per minute after being turned on.
After the first minute, the temperature of the oven is
65° + 10° = 75°
After the second minute, the temperature is:
65° + 2*10° = 65° + 20° = 85°
The same pattern goes on after minute 6, where the temperature is:
65° + 6*10° = 65° + 60° = 125°
The temperature six minutes after being turned on is 125°.
The general formula can be deducted for any time t as:
T(t)= 65° + t * 10°
Please help!! I need the answer and the explanation on how to do this
Answer:
the first one
Step-by-step explanation:
y=3x+2
2x+y=-4
becomes
3x+2=y
2x+4=-y
add them
5x+6=0
5x=-6
x=-5/6
take x and replace it for one equation
y=-8/5
Which graph represents the function -2x - 5y = -10?
Please explain!!
Answer:
Graph J represents the function -2x-5y=-10
Step-by-step explanation
To find the answer you have to find the y and x-intercepts first. To find the x and y-intercept I came up with two equations; -5y=-10 and -2x=-10. I came up with these equations because I'm finding the intercepts, so I know I have to substitute x and y with 0 one at a time. To solve the first equation I just divided -5 from both sides and got y=2, so my first intercept is (0, 2). I solved the second equation by dividing -2 from both sides and got x=5 which means my second intercept is (5, 0). Now I graph the two points on a graph and connect the dots, which turns out to be graph J on your image.
Hoped this helped you : )
Sovle -5x + 8 < - 2x + 23
Answer:
13 i think
Step-by-step explanation:
Answer this math problem if you love to mama
Answer:
Answer is 50°.
The interior angles are supplementary.
Answer:
LET THE UNKNOWN ANGLES BE X THEN,
X+130°=180°
REASON=BEING SUM OF COINTERIOR ANGLES IS EQUAL TO 180°)
X=180°-130°
X=50°answer...
don't guess!! pls help!!
THERE'S 4 IMAGES.
Answer:
pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2
Step-by-step explanation:
Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).
Answer:
3
Step-by-step explanation:
24+12 = 36
8+4 = 12
36 = _ x 12
_ is 3 since 3x12 = 36
Answer:
Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).
Step-by-step exMing drew the model below to represent the equation 24 + 12 = blank x (8 + 4).planation:
Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years?
Answer:
$5,460
Step-by-step explanation:
Given that :
Loan taken = principal (p) = $10,000
Simple Interest rate (r) = 9.1% = 0.091
Interest owed at the end of 6 years = t
Simple interest = (principal * rate * time)
Interest owed = 10,000 * 0.091 * 6
Interest owed = 910 * 6
Interest owed = $5,460
Line p passes through point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y= 1/4x+6 B. y = -1/4 x + 8 C. y = 4x – 8 D. y=-4x - 6
Answer:
A
Step-by-step explanation:
Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.
The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.
The slope of the line p is:
m(p) = -4
The slope of the line q parallel to line p:
m(q) = -4
The equation of the line q:
y - 6 = -4[x + 3]
Line q passes through the point (-3, 6).
The equation of the line:
y = -4x - 12 + 6
y = -4x - 6
Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.
Learn more about the straight line here:
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If you take -3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number
Answer:
(x - -3/10) + 1=10 so it is 9.3
Step-by-step explanation:
Juan rented a chainsaw from Steve's Tools. It cost $19 plus $6 per hour. If Juan paid
$49, then he rented the chainsaw for how many hours?
Answer:
2 hours
Step-by-step explanation:
if you do 19x2 then that is 38 and then you have to add 6 dollars per hour so that would be 2 hours
20 POINTS! What is the ANSWER?
Answer: The first one
Step-by-step explanation:
Answer:
Sin(33°) = x\14
Step-by-step explanation:
coz sin = p\hWhat is the answer? I can not figure it out at all I’ve been lookin forever now plz help!
Answer:280
Step-by-step explanation:
use formula:a+b/2+h a=base b=base h=height
A TV program is edited for broadcasting and 17% of the original is cut.
The program is now 1 1/2 hours long. How long was the original program IN HOURS.
(basically 1 1/2 increased by 17%)
PLS answer quick:)
Confused on the steps and I need help
9514 1404 393
Answer:
3) y = -1
5) x = -14
Step-by-step explanation:
The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.
__
3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:
y = -1
__
5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:
x = -14
what is the percent of change between 57000 people and 97000 people, and how do I solve it?
Answer:
58.76
Step-by-step explanation:
So, as you can tell 97,000 is the 100 percent of the people, in this case we don't know what 57,000 is. Just divide equation 1 by equation 2. Considering both have the same unit. I'm so sorry, if this doesn't explain the best way.