Answer:
Yes, π/12 is a solution.
Step-by-step explanation:
Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 . Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.
The statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]
We need to check whether [tex]\frac{\pi}{12}[/tex] is a solution for the equation.
Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]
[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]
This means, [tex]\frac{\pi}{12}[/tex] is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]
Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
Learn more about the equation here:
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A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.
What is the volume of the prism?
Answer:
It will be 72cm
Step-by-step explanation:
Volume of a rectangular prism = (length x width x height) cubic units.
9x4x2=72
f(x) is a function true or false?
Answer:
yes True
Step-by-step explanation:
thank you so much
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Please help!
Look at the system of equations:
y = 2/3x + 10
y = 2/3x − 10
Which of these statements is correct?
A. The system has one solution at (-3,8)
B. The system has one solution at (6,-6)
C. The system has no solution
D. The system has an infinite number of solutions
Answer:
I think is C or B
Step-by-step explanation:
Answer: A
Step by step: I did a test and got it right.
Hope this helps!!! - sorry in a rush -
Solve for x
35 = 5(x + 9)
X =
Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
Ryan was paid $75 for
working 6 1/4 hours.
How much money
did he make per hour?
A. $12.50
B. $12
C. $15
Answer:
the answer is b
Step-by-step explanation:
12:
Step-by-step explanation:
Please help explain how to do this
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
Don't Mind the last Question I posted
14-year-old being weird!!!
Answer:
ok then
♧♧♧♧♧♧♤♤○○●○○□□○•☆☆▪︎○○~
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
Item 4
Question 1
Solve −2s<−10. Graph the solution.
Answer= s > 10/2
s > -10/-2
s > 10/2
A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00
Answer:
$143.10
Step-by-step explanation:
$159 (regular price) - 10% = $143.1 = $143.10
Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!
-Bee
What is this question?
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
find the estimates of x^2-x-2=3
Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
What is the origin of algebraic expresions plz
Based on the information given in the diagram, choose all of the statements that are correct.
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
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Distributive property to remove parantheses -8(-6v+2x-4)
Answer:
48v - 16x + 32
Step-by-step explanation:
In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?
Answer:
The measure confirming that PQRS would be 25
Step-by-step explanation:
It's easier if you draw it down.
1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.
\
155 \
P \ -------------------------\ Q
\ 25 \
\ \ so that's your shape
S \______________\ R
2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.
3. As mentioned before, in a parallelogram, opposite angles are the same and therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.
Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is
Answer:
Step-by-step explanation:
fixed cost = 100
variable cost = 13
soooo....
cost = (13x + 100)/x
the questions wants to know when cost < 22.50
22.5 > (13x+100)/x
look at graph attached ;)
it looks to me like it's at 11
22.5 > (13(11) + 100) / 11
22.5 > 22.09
try 10
22.5 > (13(10) +100)/10
22.5 > 23 not true so yes.. 11 is when the cost goes below 22.50
Answer:
Y’all the correct answer is 10
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
a = P – 2b
Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
Solve:
(-5) + (-18) =
A-13
B
--23
C С
23
D
13
it is -23 I think
Step-by-step explanation:
(-5)+(-18)=-23
A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?
Answer:
point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.
y - 5 = 1/3 (x - (-2))
Step-by-step explanation:
1) What is the difference between a number and its positive square root is 12. Find the number
2) One of the diagonals of a rectangle is 20cm long. If the difference between its length and width is 4cm, find the area of the rectangle
Answer:
algebra
Step-by-step explanation:
using algebra form an equation than solve for the variable keep in mind u have to square it
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in
Answer:
c
Step-by-step explanation:
In 2 ½ hours, Joaquin can bake 4 dozen cookies. What is his unit rate in dozen cookies per hour?
Answer:
1.6 dozen cookies per an hour
Step-by-step explanation:
2 1/2 divided by 2 1/2 gives you 1 hour and 4 divided by 2 1/2 gives you 1.6 dozen cookies
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answer:
A
Step-by-step explanation:
Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values
[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20(15 + x) = 420 ( divide both sides by 20 )
15 + x = 21 ( subtract 15 from both sides )
x = 6
if 2t2 eqauls 4 then wah t is 2t4
answers for both boxes please
Answer:
5 for the green box and 9 for the purple one
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
2x - 2y = 2
5x + 2y = 12
2x + 5x = 7x
-2y + 2y = 0
2 + 12 = 14
7x = 14
7x/7 = 14/7
x = 2
2x - 2y = 2
2(2) - 2y = 2
4 - 2y = 2
-2y = 2 - 4
-2y = -2
-2y/-2 = -2/-2
y = 1
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answer:
The answer is 200
Step-by-step explanation:
The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.
Answer:
25%
Step-by-step explanation:
Given that,
Initial cost of a t-shirt = $30
Final cost of a t-shirt = $37.50
We need to find percent of change. The percentage change in any value is given by :
[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]
Hence, the percentage error is 25%.