If the value of the cosecant 19π/4 and 3π/4 are the same then they are coterminal angles. Then the correct option is A.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The expression is given below.
[tex]\rm cosec \ \dfrac{19\pi}{4} =\sqrt2[/tex]
The angle is 19π/4.
Coterminal angle - The angles in a standard position that have a common terminal side.
Then we have
[tex]\Rightarrow \dfrac{19\pi}{4} - 2*2\pi\\\\\Rightarrow \dfrac{19\pi - 16\pi}{4} \\\\\Rightarrow \dfrac{3\pi}{4}[/tex]
More about the angled link is given below.
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Answer:
A
Step-by-step explanation:
Props to the otha guy
Please help thank you
Answer:
Q = mCpΔT where Q is the energy in heat (joules), m is the mass (grams), Cp is the specific heat capacity (J/g/°C), and ΔT is the change in temperature (T2 - T1) in °C.
Step-by-step explanation:
So, since Q = mCpΔT then m = Q/(CpΔT) or (45.0)/(0.780•2.00) = 45/1.56 = 28.846 grams. Since there are 3 sig figs, we round to:
m = 28.8 g
UNIQUE
SIZE
What Does Cate Often
Call Her Twin Sister?
Answer:
a dupli-CATE
Step-by-step explanation:
HAHAHAHA OMG THIS IS ACTUALLY FUNNY
X + 4y = 7 4x - 3y = 9 equivalent equation and solution
Answer:
x = 3, y = 1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=7-4y[/tex]
[tex]\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}28-19y=9\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=7-4y[/tex]
[tex]\mathrm{Substitute\:}y=1[/tex]
[tex]x=7-4\cdot \:1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,y=1[/tex]
Check Answer:
3 + 4(1)
7 (1) = 7
True
4(3) - 3(1)
12 - 3 = 9
True
Hence, x = 3 , y =1
~lenvy~
6. Didi took out a loan of S12,600 to buy a car. After one month, an interest fee of 0.5% on this
loan is added to what she owes. After the fee is added, she then makes a payment of $200 to
start paying off her loan.
Given that the interest fee will increase what she owes while the payment will decrease what
she owes, how much money does Didi owe after one month
Answer:
$12,463
Step-by-step explanation:
The amount owed after one month is the sum of the original amount and the interest fee, less the amount paid.
__
The interest fee is 0.5% of $12,600, so is ...
0.005 × $12,600 = $63
After her $200 payment, the amount Didi owes is ...
$12,600 +63 -200 = $12,463 . . . owed after 1 month
Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Apply Pythagorean theorem
P²=10²-4²P²=100-16P²=84p=2√21Again
x²=84-8²x²=84-64x²=20x≈√20=√4×5=2√5Answer:
2√5
Step-by-step explanation:
The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x
recall Pythagoras theorem
[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]
Case-1: Finding the opposite sidehere,
a=4c=10To find:
bnow plug in the value of a and c in the formula respectively:
[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]
Case-2: Finding xhere,
[tex]b_1 \implies c=2\sqrt{21}[/tex]b=8a[tex]\implies[/tex] xUtilizing Pythagoras theorem yields:
[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]
and we're done!
3x+1=38 solve and check please
Hello!
The first step is to subtract 1 from both sides.
[tex]\bf{3x+1=38}[/tex]
[tex]\bf{3x=37}[/tex]
Now, divide both sides by 3:
[tex]\bf{\displaystyle\frac{37}{3} }[/tex]
Can this fraction be simplified? Nope.
Why? Because 37 and 3 do not have any common factors, except 1 (and what's the point of dividing by 1?)
Hence, the answer is
[tex]\huge\boxed{\text{Answer:{\boxed{\circ\star{\frac{37}{3} }}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
[tex]\boxed{An~Emotional~Helper!}[/tex]
Can someone please please tell me what the general form for (x-6)^2+(y-3)^2=16 is. I would really appreciate the help!
Answer:
x² + y² - 12x - 6y + 29 = 0
Step-by-step explanation:
Simplifying the equation using (a + b)² = a² + 2ab + b²:
(x - 6)² + (y - 3)² = 16
⇒ [x² - 2(x)(6) + 6²] + [y² - 2(y)(3) + 3²] = 16
⇒ [x² - 12x + 36] + [y² - 6y + 9] = 16
⇒ x² - 12x + 36 + y² - 6y + 9 = 16
General form of a circle = x² + y² + Cx + Dy + E = 0
Before we reorganize the equation in general form, we need to have the R.H.S as 0. For that, we need to subtract 16 both sides.
Subtract 16 both sides:
⇒ x² - 12x + 36 + y² - 6y + 9 = 16
⇒ x² - 12x + 36 + y² - 6y + 9 - 16 = 16 - 16
⇒ x² - 12x + 20 + y² - 6y + 9 = 0
Reorganizing the equation in general form:
x² - 12x + 20 + y² - 6y + 9 = 0
⇒ x² - 12x + 20 + y² - 6y + 9 = 0
⇒ x² + y² - 12x + 20 - 6y + 9 = 0
⇒ x² + y² - 12x + 20 - 6y + 9 = 0
⇒ x² + y² - 12x - 6y + 20 + 9 = 0
⇒ x² + y² - 12x - 6y + 29 = 0
Thus, the equation in general form is x² + y² - 12x - 6y + 29 = 0.
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T. Which measurement is the closest to the height of the mountain cliff in feet?
342
364
940
2747
Answer:
Step-by-step explanation:
The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
Given that;
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T
Hence, By graph we get;
⇒ tan 20° = Mountain Height / 1000
⇒ 0.36 = Mountain Height / 1000
⇒ 0.36 × 1000 = Mountain Height
⇒ Mountain Height = 360 feet
Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
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karen and mary are saving money. karen has 150 and disposits an additional $25 a week. mary has $200 and deposits an additional $10 a week. what is the minimum number of weeks it will take for karen to have more saving then mary
Answer:
4 weeks
Step-by-step explanation:
original base amount 150 200
1st week deposit 175 210
2nd week deposit 200 220
3rd week deposit 225 230
4th week deposit 250 240
A babysitter charges an hourly rate. The equation y = 12x represents the relationship between hours of babysitting, x, and total pay, y, in
dollars.
What is the salary per hour for the babysitter?
salary : $12 per hour
The sum of three consecutive, positive, even integers is 18
more than twice the smallest. The integers are_____.
Answer:
5, 6, 7
Step-by-step explanation:
5 + 6 + 7 = 18
Answer:
15,16,17
Step-by-step explanation:
The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.
Let a,b,c be positive integers
Let a be the smallest integer.
Because the answer says the sum of the integers has to be 18 more than 2 x the smallest integer. It means the situation can be represented as:
a + b + c = 2a + 18
Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.
a = a
b = a + 1
c = a + 2
Now we can solve for a:
a + (a+1) + (a+2) = 2a + 18
a + a + 1 + a + 2 = 2a + 18
3a + 3 = 2a + 18
a + 3 = 18
a = 15
then we can fill in the rest.
b = (15) + 1 = 16
c = (15) + 2 = 17
Now we verify.
15 + 16 + 17 = 2(15) + 18 ?
15 + 16 + 17 = 48
2(15) + 18 = 48
We now have the solution. The consecutive numbers, are, and can only be
15,16,17
Line of best fit has a y intercept of 6 and goes through the point(4,22) what is the slope of the line
Answer:
0.7
Step-by-step explanation:
you have a slope of 6 and it goes through 4,22 so slope = rise over run so you would divide them
If I have 1 and 10 dollar bill and 4 quarters, that makes 15$.
Hey there!
$10.00 + 0.25¢ + 0.25¢ + 0.25¢ + 0.25¢
= $10.25 + 0.25¢ + 0.25¢ + 0.25¢
= $10.50 + 0.25¢ + 0.25¢
= $10.75 + 0.25¢
= $11.00
OR YOU COULD READ THE EQUATION LIKE:
$10.00 + $1.00
= $11.00
Thus, your answer is: FALSE because $10 + 4 quarters gives you $11 NOT $15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
False
Step-by-step explanation:
$10+$1=$11 and .25+.25+.25+.25=$1
which would equal $12 so your answer would be falses if thats what your asking
|-9| + |12| = ?
Question options:
A -3
B 3
C -21
D 21
Answer:
21
Step-by-step explanation:
-9=9
9+12=21
How many milliliters could a container with a volume of 154 cm cubed hold?
A. 0.154 ml
B. 1.54 ml
C. 154 ml
D. 15,540 ml
154 cm3 = 0,154 dm3 = 0,154 l = 154 ml
The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function y = 14t2. A second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 130 feet per second and can be modeled by the function y = 130t + 1200. Solve the system of equations. Which solution represents a viable time that the trains are side by side?
A. 14 sec
B. 15 sec
C. 16 sec
D. 17 sec
Solving the system of equations, it is found that a viable time that the trains are side by side is given by:
B. 15 sec
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
[tex]y = 14t^2[/tex]
[tex]y = 130t + 1200[/tex]
They will be side by side when:
[tex]14t^2 = 130t + 1200[/tex]
[tex]14t^2 - 130t - 1200 = 0[/tex]
It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:
[tex]\Delta = (-130)^2 - 4(14)(-1200) = 84100[/tex]
[tex]x_1 = \frac{130 + \sqrt{84100}}{28} = 15[/tex]
[tex]x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71[/tex]
Time is a non-negative measure, hence option B is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
Answer:
B: 15 sec
Step-by-step explanation:
I took the algebra exam
please check picture and answer correctly please.
Answer:
27
Step-by-step explanation:
multiply 9 x 6 and you get 54. Since it's a triangle divide by 2 and you get 27
A pet store has 5 tanks of fish. Each tank has 30 fish. How many fish does the store have?
Answer:
30 fish
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
5 tanks with 30 fish each so 5x30
5x30=150
Nathan was asked to determine the quotient of 10 and 1/7. He claims that the quotient is 70. Which expression below could Nathan simplify to explain how he know his answer is right
A) 70 +1/7
B)10 +70
C)10 x 1/7
D) 70 x 1/7
Answer:
D
Step-by-step explanation:
The quotient is the result of dividing one number by another.
[tex]\frac{10}{\frac{1}{7} } = ?[/tex]
is how you would represent the quotient of 10 and 1/7.
The opposite of division is multiplication, and those we can rearrange that and get:
[tex]? * \frac{1}{7} = 10, or, ?/7 = 10[/tex]
or in other words, "what number divided by 7 is 10"
The answer becomes clearer, 70 is that number.
D represents this idea.
Which number is written in scientific notation? 4. 5 times 10 Superscript negative 3 14. 5 times 10 Superscript 2 0. 78 times 10 Superscript negative 6 5. 7 times 4 Superscript 8.
The number [tex]4.5*10^{-3}[/tex] is written in scientific notation whereas the rest of the numbers are not written in scientific notation.
Given numbers are:
1)[tex]4.5*10^{-3}[/tex]
2)[tex]14.5*10^{2}[/tex]
3)[tex]0.78*10^{-6}[/tex]
4)[tex]5.7*4^8[/tex]
What is the scientific notation of numbers?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
In the first number [tex]1 < 4.5 < 10[/tex] multiplied by [tex]10^{-3}[/tex]
As per the definition [tex]4.5*10^{-3}[/tex] is written in scientific notation.
The Rest of the numbers do not follow the definition of scientific notation so they are not in scientific notation.
Hence, the number [tex]4.5*10^{-3}[/tex] is written in scientific notation whereas the rest of the numbers are not written in scientific notation.
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An object is attached by a string to the end of a spring. Fang throws the object upwards and starts a stopwatch at t=0t=0t, equals, 0 seconds. The object starts oscillating vertically in a periodic way that can be modeled by a trigonometric function.
The object's average height is -20\text{ cm}−20 cmminus, 20, start text, space, c, m, end text (measured from the top of the spring). It first achieves that average height on the way up at t=0.2t=0.2t, equals, 0, point, 2 seconds, and then again every 222 seconds. The object's maximum and minimum heights are each 5\text{ cm}5 cm5, start text, space, c, m, end text from its average height.
Find the formula of the trigonometric function that models the height HHH of the weight ttt seconds after Fang started the stopwatch. Define the function using radians.
\qquad H(t) =H(t)=H, left parenthesis, t, right parenthesis, equals
What is the height of the object after 0.60.60, point, 6 seconds? Round your answer, if necessary, to two decimal places.
The object attached to a string illustrates a sinusoidal trigonometric function
The trigonometric function is H(t) = 5sin(π/2(t-0.2))-20, and the object's height after 0.6 seconds is -17.06 cm
How to determine the trigonometry function model?The trigonometry model of the object is a sine function represented by:
H(t) = Asin(B(t - c)) + D
The maximum height is 5 cm.
So, we have:
Amplitude, A = 5
The average height is - 20 cm.
So, we have
Vertical shift, D = -20
Its first average height is at t = 0.2.
So, we have:
Horizontal shift, C = 0.2
The period B is then calculated as:
B = π/t
The object reaches the maximum height every 2 seconds.
So, we have:
B = π/2
Substitute these values in H(t) = Asin(B(t - c)) + D
H(t) = 5sin(π/2(t-0.2))-20
Hence, the trigonometric function is H(t) = 5sin(π/2(t-0.2))-20
The height of the object after 0.6 secondsSubstitute 0.6 for t in H(t)
H(0.6) = 5sin(π/2(0.6-0.2))-20
Evaluate
H(0.6) = -17.06
Hence, the object's height after 0.6 seconds is -17.06 cm
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Answer:
What is the importance of biology laboratory?
Biological Science Laboratory Apparatus is essential for meeting our basic needs of food, clothing, shelter, health, energy, clean air, water and soil. Biological Science Laboratory Apparatus enrich the quality of life in numerous ways by providing new solutions to problems in health and materials and energy usage.
Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subscript 2 Baseline (x 7) = 3. Log Subscript 2 Baseline left-bracket x (x 7) right-bracket = 3. X (x 7) = 2 cubed. X squared 7 x minus 8 = 0. (x 8) (x 1) = 0. X = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8.
The value which shows the true solution to the given logarithmic equation is 1.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The given logarithmic equation is,
[tex]\rm log_{2} (x) + log_{2} (x +7) = 3.[/tex]
Use the addition property of log in the above expression.
[tex]\rm log_{2} (x \times (x +7) )= 3.\\ (x \times (x +7) ) = 2^{3} \\x \times (x +7) = 8\\x^{2} +7x-8=0[/tex]
Solve the quadratic equation we get,
[tex](x+8)(x-1)=0[/tex]
x = -8, 1
Here, the logarithmic function is defined only for positive real numbers as its input.
Thus, the value which shows the true solution to the logarithmic equation solved above is 1.
Learn more about the domain and range of the function:
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Answer:X=1
Step-by-step explanation:b on edge
Patrick is a comdeion who makes $120 for short performance and $260 for long performance. how much will he earn if he completes 11 short and 12 long performences?
Answer:
$4440 for all performances
Step-by-step explanation:
11 × ¢120 for short performances
12 × $260 for long performances
$1320 for short performances
$3120 for long performances
To get the totel you add them up
( $1320 + $3120)
The total is $4440
A bakery made 100 donuts. In the display case, 40/100 were chocolate,
3/10 were glazed, and the rest were cinnamon. Which fraction of the donuts were cinnamon?
A.30/100
B.43/100
C.57/100
D.70/100
Answer:
Step-by-step explanation:
57 of them were cinnamon.
Explanation:
100-40 = 60 and 3 of those were glazed so that leaves us with 57
if i was asked to think of a number and multiply it by 2, I could write this algebraically as 2x Write the following using x as your unknown. "I think of a number, take away 1 and multiply the result by 3.
Step-by-step explanation:
(x - 1)×3
a random number minus 1, and the result is multiplied by 3.
bingo !
Answer:
3(x - 1).
Step-by-step explanation:
Taken away 1 is x - 1
Multiply this by 3 is 3(x - 1).
Find the value of c that makes the trinomial a perfect square. .
x² – 24x7c
Answer:
144
Step-by-step explanation:
The equation to find c is:
[tex](\frac{b}{2} )^{2}[/tex]
So put -24 into b:
[tex](\frac{-24}{2} )^{2}[/tex]
Which simplifies to:
144
So if you want to test this:
x^2 - 24x + 144
is
(x-12)^2
Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5
The cost of 3 scarves is $26.25. What is the unit price?
Answer : $8.75
Answer:
$8.75
8.75x3=26.25
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
To find out the unit price, take the whole and divide it by the number of units. In this case the whole cost is $26.25. There are 3 scarves in a whole. Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75. Knowing how to figure out a unit price for something is very useful. For example, if you wanted to buy some Pepsi but didn't know if the 24-pack, 12-pack or 36-pack was a better deal, you can find out the unit price to see which is cheaper. For example, if the 24-pack of Pepsi cost $5, the unit price per can would be .21. A 12-pack at$ 2.75 would be .22 per can. A 36-pack at $6.50 is .18 per can. This tells you that you'd save more money per can if you bought the 36-pack of Pepsi.
Walnuts are priced
according to the chart
below.
POUNDS (LBS)
COST (S)
3
$7.77
5
$ 12.95
8
$20.72
What is price per pound for the
walnuts?
A.
$2.59
B. $3.86
C. $2.17
D. $3.07
Answer:
A. $2.59
Step-by-step explanation:
If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)
Shawn is typing a paper for class. He can type 1 5/14 pages in 1/3 of an hour. How many pages can shawn type in one hour?
Answer:
4 1/14
Step-by-step explanation:
1 5/14 x 3 = 4 1/14
Answer:
4 1/14 pages
Step-by-step explanation:
multiply 1 5/14 by 3
start by multiplying 1 by 3 which is 3
then multiply 5/14 by 3, you just have to multiply the 5 and you get 15/14 which is 1 1/14
add 3 and 1 1/14 and you get 4 1/14