Answers
Answer:
C) [tex]-\frac{47}{49}[/tex]
Step-by-step explanation:
By the cos double angle formula, we know [tex]\cos(2\theta)=2\cos^2\theta-1.[/tex] Substituting [tex]\cos \theta[/tex] into the formula, we get
[tex]\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}[/tex].
The answer is C.
Related Questions
Write the percent as a fraction and decimal:
72%, 25%, 500%, 5%
Answers
Answer:
Decimals:
0.72, 0.25, 5.0, 0.05
Fractions in simplest forms:
18/25, 1/4, 5/1, 1/20
Step-by-step explanation:
To convert percentages into decimals:
You divide the percentage by 100.
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100. And, then we express the fractional form of the percentage in the simplest form. For example, 1% is 1/100, 2% is 2/100 which can be reduced to 1/50.
Hope this helps and Brainliest please.
Fine area in triangle.
Answers
There is a dotted line to show us how to do,we know the dotted means we don’t actually work that part out.
1. The bottom added together = 11,now : (11x6) ÷ 2 = 33cm2.
2.The part where there is a dotted triangle: (6x5) ÷ 2 = 15cm2.
3. 33 - 15 = 18.
The first day of August in the first day of July combined account for 75% of the sales on the first day of the month from July through December true or false
Answers
The first day of August in the first day of July combined does not account for 75% of the sales on the first day of the month from July through December.
What is a bar chart?
A bar chart is a graph that shows categorical data. They are made up of rectangular bars with heights that are proportional to the values that they represent. The rectangular bars can either be plotted vertically or horizontally.
What percentage does the sales made in July and August represent?Percentage of sales made in July and August = (sum of sales made in July and August / total sales) x 100
(32 + 28) / (20 + 15 + 4 + 1 + 32 + 28)
= (60 / 100) x 100 = 60%
Please find attached the complete question. To learn more about percentages, please check: https://brainly.com/question/25764815
If you add 1.25 to the difference of 8.55 and 2.12, what will be the result?
Answers
Answer:
7.68
Step-by-step explanation:
8.55-2.12 is 6.43.
6.43+1.25 is 7.68
M is the midpoint of QR. N is the midpoint of PR. Work out PM and QN in terms of a and b
Answers
Answer:
triangle in the middle but it cant explain with it
Step-by-step explanation:
what is the height of this cone?
Answers
Answer:
height is = 3/2 ft
Step-by-step explanation:
a cones volume can be represented by 1/3(h)(pi)(r^2)
we must go backwards to find this question out
if the diameter is 2/3 then the radius is 1/3
then you must square that
that is 1/3 * 1/3 which is 1/9
1/9(1/3)(pi)(h) is 1/18(pi)
we can remove pi from both sides and multiply the 1/9 and the 1/3
1/27(h) = 1/18
we must find the lcm or least common multiple to figure this out
the lcm is 54
1/27 is essentially 2/54 and 1/18 is 3/54
2/54(h) = 3/54
we can multiply each side by 54
2h = 3
divide 2 on both sides
h is 3/2
(select all that apply)
1. Calculation errors when distributing 9h
2. Calculation errors when combining h^2 terms
3. Calculation errors when distributing -1
4. Calculation errors when distributing h^2
5. Calculation errors when combining h terms
Answers
The simplification of the expression (h² + 9·h - 1) × (-4·h + 3), involves the
multiplication of the terms. The error is therefore;
3. Calculating errors when distributing -1
How can the error in the calculation be found?The expansion of (h² + 9·h - 1) × (-4·h + 3), is given as follows;
(h² + 9·h - 1) × (-4·h + 3) = -4·h³ + 3·h² - 36·h² + 27·h + 4·h - 3
Which gives;
-4·h³ - 33·h² + 31·h - 3
The calculation is therefore;
[tex]\begin{array}{|c|c|c|c|}&h^2&+9 \cdot h & -1\\-4 \cdot h&-4\cdot h^3&-36\cdot h^2 &4 \cdot h\\+3& 3 \cdot h^2&27 \cdot h&3\end{array}\right][/tex]
The error is therefore, in the distribution of the -1
The correct option is;
3. Calculating errors when distributing -1
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I don't really get help but can someone help me on this
Answers
Answer:
x=21
Step-by-step explanation:
Answer:
x = 21
Step-by-step explanation:
3x = 63
x = 21
hope it help
How many solutions does the nonlinear system of equations graphed below
have?
Answers
Answer:
Step-by-step explanation:
only one solution.
what is the range of 0,1,2,3,4,5,6,9
Answers
Answer: it is 9
Step-by-step explanation: if you mean calculating range as in the highest and lowest number then yes. If you mean geometric or arithmetic calculation of range then it would just be the numbers you stated.
Answer:
The median 3.5 the mean is 3.5 and the min is 0 max is 9
Step-by-step explanation:
to find the median cross out the nubers on the end if theres two ansewrs in the middle then do whatever number .5
Which of the following values are in the range of the function graphed below?
Check all that apply.
- A.-1
B. -6
. c. 1
D. 2
0E.-2
Answers
Answer:
A, B, and D
Step-by-step explanation:
Jaden says that two triangles are congruent if their interior angles are congruent. Is Jaden correct, and why?
Yes. Congruent triangles have congruent interior angles.
Yes. If the angles of two triangles are congruent, then the triangles are similar.
No. Congruent triangles should also have corresponding congruent side lengths.
Answers
Answer:
No
Step-by-step explanation:
No. Congruent triangles should also have corresponding congruent side lengths.
Jaden is incorrect. two triangles are not congruent if their interior angles are congruent.
The correct option is C.
What are congruent triangles?Two triangles are said to be congruent if the three sides and the three angles of both the triangles are equal in any orientation.
Given, statement
two triangles are congruent if their interior angles are congruent.
Even when two triangles have all angles same,
they can still have sides of different lengths.
However, the ratio of lengths of corresponding sides will be same.
But in this case, they will be called 'similar' triangles, not congruent.
For example, in the image below, both triangles are equilateral and have all angles equal but they are not congruent.
Hence, two triangles with congruent angles are not congruent, Jaden is incorrect.
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What is the sale price for a beach umbrella with a regular price of $43.59 which is on sale for 20% off?
Answers
Answer:
$34.87
Step-by-step explanation:
20% of $43.59
[tex]\frac{20}{100} X \frac{43.59}{1}[/tex] = [tex]\frac{1}{5} X \frac{43.59}{1}[/tex] = [tex]\frac{43.59}{5}[/tex] = $8.718
Therefore the price is, $43.59 - $8.718 = $34.87
Answer:
The answer is $34.87
Step-by-step explanation:
$43.59- 8.72=$34.87
20% of $43.59 is $8.72
So, your answer will be $34.87
$43.59- 8.72=$34.87
Hope this help you also have an Amazing Day!!
Solve for X. I am stuck on this question
Answers
Answer:
143
Step-by-step explanation:
The shape on the right is scaled up by 13. 91/7 = 13 and 52/4 = 13
So we multiply 11*13 to get 143.
I hope this helped <3
Rewrite each algebraic expression with as few terms as possible using the Commutative and Associative Properties.
7x + 2y + 4x + y
Answers
Answer:
11x + 3y
Step-by-step explanation:
7x + 2y + 4x + y
Combine like terms:
7x + 4x 2y + y
11x + 3y
Hope this helps!
{3x + y = 5
{5x + 2y = 9
Solve using a matrix
Answers
Solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.
As given in the question,
System of equation:
3x + y = 5 ,
5x + 2y = 9
In matrix form :
[tex]\left[\begin{array}{ccc}3&1\\5&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\9\end{array}\right][/tex]
[tex]D = \left[\begin{array}{ccc}3&1\\5&2\end{array}\right][/tex]
= (3)(2) -(5)(1)
=1
[tex]D_{x} = \left[\begin{array}{ccc}5&1\\9&2\end{array}\right][/tex]
= 10 -9
= 1
[tex]D_{y} = \left[\begin{array}{ccc}3&5\\5&9\end{array}\right][/tex]
= 27 -25
= 2
[tex]x= \frac{D_{x}}{D}[/tex]
= 1
[tex]y =\frac{D_{y}}{D}[/tex]
=2
Therefore, solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.
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Solve the algebraic expressions below
1. 3x + 7x =
2. ( 2x - 3 ) ( 5 - 3x ) =
3. 4 ( x - 3 ) + ( x - 5 ) ( x + 1 ) =
Answers
Have a good day :)
What is the sum of the geometric series, rounded to the nearest whole number? 16 E n-1
6(1/4)^n A=2, B=3, c=4 d=6
What's the correct answer please
Answers
The infinite sum is (first term) divided by (1 minus the common ratio). The first term is 6(1/4) = 3/2; the common ratio is 1/4:
[tex]S=\frac{\frac{3}{2} }{1-\frac{1}{4} } =\frac{\frac{3}{2} }{\frac{3}{4} } =(\frac{3}{2} )*(\frac{4}{3} )=2[/tex]
The terms after n=16 are tiny and will certainly bring the sum down only a tiny bit.
So to the nearest whole number the sum of the finite geometric series is 2.
A claim is made that employees work less than 15 hours/week, on average, at "Joe's Pretty-Good Burgers". What kind of hypotheisis test is this? 1 Proportion z-test 2 Proportions z-test 1 Mean t-test 2 Means Matched Pairs t-test 2 Independent Means t-test
Answers
Answer:
i don't know too
Step-by-step explanation:
I think this question is quite tough
The circumference of a circle is 15 meters. Find the area. Use 3. 14 for π. What is the value of the radius rounded to the nearest tenth? What is the approximate area of the circle rounded to the nearest tenth? m2.
Answers
Answer:
2m²
Step-by-step explanation:
radius = circumference ÷ ( Pi ×2)
r = 15 ÷ ( 3.14 × 2)
= 2.388535032
rounded off = 2m²
Find the equation of the line specified. The slope is 6, and it passes through ( -4, 4). A. Y = 6x 4 c. Y = 12x 28 b. Y = 6x - 20 d. Y = 6x 28.
Answers
Answer: A
Step-by-step explanation:
You have your slope (mx) which is 6, so it would look like 6x. We have our points and can see that y is 4. Put it all together using the slope formula to get y = 6x + 4
can anyone send a screenshot of how many followers I have??? cause I cant see it
I will give thanks and mark brainliest..remember show screenshot..
Answers
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST 368 hamburgers and cheeseburgers were sold. 3x more cheeseburgers were sold than hamburgers. How many of each were sold?
Answers
Answer:
368 Hamburgers
1,104 Cheeseburgers
Step-by-step explanation:
If the radius of a circle is 5 unites what is the diameter?
Answers
Answer:
A circle of radius = 2.75 or diameter = 5.5 or circumference = 17.28 m has an area of: 2.376E-5 square kilometers (km²) 23.76 square meters (m²)
Step-by-step explanation:
it is what it is
Answer:
d
=
2
r
=
2
·
5
=
10
yeah so I think this
Use the quadratic formula to find the solutions to the equation.
x2-3x+ 1 = 0
Answers
a
x
2
+
b
x
+
c
=
0
, using quadratic formula is given by
−
b
±
√
b
2
−
4
a
c
2
a
Hence the solution of
x
2
+
3
x
+
1
=
0
is given by
x
=
−
3
±
√
3
2
−
4
⋅
1
⋅
1
2
⋅
1
or
x
=
−
3
±
√
9
−
4
2
=
−
3
±
√
5
2
Hence solution is given by irrational numbers
−
3
+
√
5
2
and
−
3
−
√
5
2
.
What is 3/2 = 6/n? im terrible at cross multiplying
Answers
Answer:
n = 4
Step-by-step explanation:
[tex]Cross \;Multiply[/tex]
[tex]3*n=3n[/tex]
[tex]2*6=12[/tex]
[tex]3n=12[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3n}{3}=\frac{12}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]n=4[/tex]
[RevyBreeze]
Heeeellpplll this is super easy but I’m too lazyy to do it
Answers
Answer:
$3
Step-by-step explanation:
(80-62) ÷ 3
what is something you multiply and get -24 but when you add you get -10
Answers
2 x -12 = -24
2 + -12 = -10
Answer:
-7(2)-10 = -24
Step-by-step explanation:
-7(2) = -14(+-10) = -14-10=-24
A triangle has an area of 156 square millimeters and a base of 16 millimeters. What is the
height?
Answers
Answer: Height = 19.5mm
Step-by-step explanation:
The area of a triangle is the base*height/2.
We can plug in the values given for the base and area.
Therefore, 156 mm^2 = 16mm*height/2
Multiply both sides by 2:
312 mm^2 = 16mm*height
Divide both sides by 16mm:
Height = 19.5mm
In a particular country, the coins come in the denominations 1, 15 and 50 schillings. Whilst visiting this country, Peter bought a book for his wife, Rachel, paying with several (more than 2) coins. He paid with the minimum number of coins needed to make that amount.
His change contained one more coin than the handful of coins with which he paid, but again it was the minimum number of coins needed to make that amount.
What are the eight lowest possible prices for the book?
What is the lowest price of the book where the coins Peter pays with is a sensible set of coins to have handed over?
Answers
Answer:
Step-by-step explanation:
Depending on the tools available to your 11y.o., it's a typical question for linear inequalities.
Where a,b,c are the # of 1,15,50 coins given by the buyer, and d,e,f the # of coins given back by the seller.
1×a + 15×b + 50×c > 1×d + 15×e + 50×f
a+b+c+1>=d+e+f
a+b+c >=2
Now, there are other clues in the text :
If the seller gives back money, then you didn't pay with 1's, otherwise, it means you overpay and you could have given fewer coins. So a=0.
Similarly, the seller cannot give you back a coin of 50, otherwise, you could have given fewer coins as the buyer. So f=0.
So that gives :
15×b + 50×c > 1×d + 15×e
b+c+1>=d+e
b+c >=2
From that point on, there is only a handful of scenarios to test.