Answer:
Step-by-step explanation:
First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into
[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get
[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:
[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:
(-1cosx + 0sinx) = -1 which simplifies to
-1cosx = -1 so
cosx = 1 and
x = 0 or 2π, depending upon what your interval is.
question on the image
(with the steps)
Answer:
40°
Step-by-step explanation:
The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,
> x + 70° + 70° = 180°
> x + 140° = 180°
> x = 180° - 140°
> x = 40°
Answer:
40 degrees
Step-by-step explanation:
We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.
Every triangle adds up to 180 degrees.
So, You can just do 180 - (70+70)
Algebra version:
70 + 70 + x = 180
140 + x = 180 (subtract 140 on both sides)
x = 40
hope this helps :)
what are the x-coordinates of the solutions? Choose all that apply.
a. -2
b. 1
c. -1
d. 0
Answer:
a. -2
c. -1
Step-by-step explanation:
these are the only values for x, where the 2 equations deliver the same y value.
in case of a. y = -2×-2 - 1 = 4 - 1 = 3
and y = 3¹ = 3
c. y = -2×-1 - 1 = 2 - 1 = 1
y = 3⁰ = 1
Find the circumference of this circle
using 3 for T.
C [?]
3
C = 27r
Use the formula shown C = 2PIr
r is the radius which is given as 3 and you are told to use 3 for pi:
C = 2(3)(3) = 18
The circumference = 18
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{x}{9}[/tex]
x=[tex]\frac{9}{2}[/tex]
The value of x is [tex]\frac{9}{2}[/tex]
Type the correct answer in each box. Use numerals instead of words
Answer:
a) 1.73
b)1.32
Step-by-step explanation:
y = f(x) = 3^x
f(1/2) = 3^1/2 = √(3) = 1.73
f(1/4) = 3^1/4 = 1/4√3 = 1.32
QUICKLY!! We know that a triangle with side lengths x^2-1,2x and x^2+1 is a right triangle. Using those side lengths, find the missing triples and x-values.
Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.
Type the correct answer in each box.
x value--------------------pythagorean triple
3 ____________
________ (8,15,17)
5 ______________
__________ (12,35,37)
Answer:
[tex]\begin{array}{ccl}x \ value&&Pythagorean \ triple\\3&&(6, 8, 10)\\4&&(8, 15, 17)\\5&&(10, 24, 26)\\6&&(12, 35, 37)\end{array}[/tex]
Step-by-step explanation:
The given side lengths of the right triangle are;
x² - 1, 2·x and x² + 1
A Pythagorean triple are three numbers, a, b, and c, such that, we have;
a² + b² = c²
From the given side lengths, we have;
We note that (x² + 1) > (x² - 1)
(x² + 1) > 2·x for x > 1
Therefore, with (x² + 1) as the hypotenuse side, we have;
(x² - 1)² + (2·x)² = (x² + 1)²
Therefore, when the x-value is 3, we have;
(3² - 1)² + (2 × 3)² = (3² + 1)²
8² + 6² = 10²
The least is 6² = (2 × 3)², from (2·x)²
Therefore;
The Pythagorean triple is 6, 8, 10
The order of the triple is (2·x), (x² - 1), (x² + 1)
2) The x-value for the triple, (8, 15, 17), is obtained as follows;
The least, 8 = 2·x
∴ x = 8/2 = 4
The x-value = 4
3) The Pythagorean triple where the x-value = 5 is therefore;
(2·x), (x² - 1), (x² + 1), where x = 5 gives; (2×5 = 10), (5² - 1 = 24), (5² + 1 = 26)
Therefore, the Pythagorean triple where x = 5 is 10, 24, and 26
4) The x-value for the Pythagorean triple (12, 35, 37) is given by 12 = 2·x
Therefore, x = 12/2 = 6
Therefore, we get;
[tex]\begin{array}{ccl}x \ value&&Pythagorean \ triple\\3&&(6, 8, 10)\\4&&(8, 15, 17)\\5&&(10, 24, 26)\\6&&(12, 35, 37)\end{array}[/tex]
The following table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Answer:
it is 1:5
Step-by-step explanation:
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the
ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Ratio of red paint to white paint in the paint color = 4 : 20
= 4/20
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 1 : 5
Ratio of red paint to white paint in the paint color = 5 : 25
= 5/25
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 7 : 35
= 7/35
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 8 : 40
= 8/40
= 1/5
= 1 : 5
if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)
Help me find (f+g)(x) please!
Answer:
[tex](f+g)(x) = 3x^2 - 6[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]
Una bañera en forma de trapecio tiene un area de 60 metro ademas se sabe que su base mayor es 3/2 mas grande que su base menor calcule la altura cuando la base menor es 18 metros
Respuesta:
3,2 metros
Explicación paso a paso:
Área del trapecio:
A = 1/2 (a + b) h
h = altura; ayb son las bases
Área, A = 60
Sea una base más pequeña = a = 18;
b = 18 + 3/2 = 19,5
La altura se puede calcular así;
60 = 1/2 (18 + 19,5) h
60 * 2 = 37,5 horas
120 = 37,5 h
h = 120 / 37,5
h = 3,2 metros
Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n
2
4
3
5
Answer:
n=5
Step-by-step explanation:
by using
n=(an-a)/a+1
substituting values
n= 7.2-(-7.2)/3.6 +1
n=5
Find the measure of the indicated angle
Answer:
76°
Step-by-step explanation:
180-(2*52)
= 180-104
= 76
Answered by GAUTHMATH
Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
no pueden hablar otra idioma
Tìm x €N: a) 24:(2x-4)+14=26
The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y −2 2 −2 Which statement is true for the tables? (1 point) Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function, but Table B represents a function. Table A represents a function, but Table B does not represent a function.
Answer:
is it possable you can show the graph
Step-by-step explanation:
Answer:
2nd option ,that is, Both tables do not represent a function.
Step-by-step explanation:
For a table to represent a function it's input value must correspond to exactly one output value.
As in Table A the input value of 3 corresponds to 2 different outputs, where
as in table B the input value of 5 corresponds to 2 different outputs.
x is taken as the input and y is taken as output for both the tables.Therefore, Both tables dobnot represent a function.
What is the equation of the line graphed below?
Answer:
y=2/5x
Step-by-step explanation:
Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1
2-0/5-0=2/5=m
Will mark brainlest helpppp pleaseeeee
Answer:
come to mya massanger dk khanal fb user
Step-by-step explanation:
i will teach you by sending picture
What is the value of x to the nearest tenth?
A) 9.2
B) 7.2
C) 4.8
D) 12.0
Answer:
B. 7.2
Step-by-step explanation:
radius=24÷2= 12
other line =19.2÷2=9.6 because line from centre bisects chord and is perpendicular to it
Therefore: X²=√ 12²-9.6² ( theorem of Pythagoras)
X=7.2
A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient
Answer:
-3/4
Step-by-step explanation:
The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]
Hence the slope of the line is -3/4 .
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
Answer:
Profit % = 11,11 %
Step-by-step explanation:
Answer:
14% profit on shirt/skirt?...
actually as written the question can not be answered....
the start of the problem has gloves, and SHIRT... at the end you want the
profit on a SKIRT
Step-by-step explanation:
gloves sold for 8
shirt sold for 40
.2(48) = 9.60 profit
9.60 - 4 = 5.60 profit of shirt
x(40) = 5.60
14% profit on shirt
The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.
one is 1800 and another is 1200
Step-by-step explanation:
let no's be A and B
so, A+B =3000
given, 8% = 8/100 = 2/25
12%= 12/100 = 3/25
As per question 8% of A is = 12% of B
so, (2/25)*A = (3/25)*B
now, multiply cross wise
then we get, (A/B) = 3:2
thus two numbers are in the ratio of 3:2
so, let A =3x, B=2x
cause sum of these is 3000 so, A+B =3000
3x+2x =3000
5x = 3000
x= 3000/5
.: x = 600
so, first no is 3x =3*600=1800
2nd no is 2x= 2*600= 1200
Hope this helps you
Find slope if a line pass through the original and (3,2)
heyy im not sure if you meant origin instead of original but the origin would be (0,0)
Answer:
2/3
Step-by-step explanation:
the slope form equation is : y2 - y1/ x2-x1 (aka change in y divided by change in x)
so it would be 2-0/ 3-0 = 2/3
the slope is 2/3
(Ignore)-Character fill- jsysbssmhzbsskkdhsbsnsdjsvsvsbsjhs
Step-by-step explanation:
[tex]x = kh \\ x = 33 \\ hj = 4x + 9 \\ x = 9 - 4 \\ x = 5 \\ jk = 3x + 3 \\ x = 3 - 3 \\ x = 0[/tex]
Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.
Step-by-step explanation:
this photo is correct answer of this question.
Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?
A farmer in China discovers a mammal
hide that contains 71% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Answer:
Step-by-step explanation:
I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:
[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:
ln(.71) = -.0001t and we divide to solve for t:
[tex]\frac{ln(.71)}{-.0001}=t[/tex] and
[tex]\frac{-.3424903089}{-.0001}=t[/tex] so
t = 3424.9 years, or rounded, 3425 years.
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40
Which best describes the number of bags of balloons she can buy?
Answer:
She can buy from 0 to 20 bags, but no more.
Answer:
b <3
Step-by-step explanation:
Please help me with this one I seriously suck at math
Answer:
6×5+8×6+6×7+2×1/2×4×8
= 152 in^2
○●○●○●○●○●○
☆Hope it helps...
square root of 10 using graph.
please help
Step-by-step explanation:
final answer is 4 91 1 6 this is square root of 10
2x - y when x = 0 and y = -5
Answer:
5
Step-by-step explanation:
2x - y when x = 0 and y = -5
2(0) - (-5) =
= 0 + 5
= 5
Answer:
5
Step-by-step explanation:
2x-y
2(0)-(-5)
0-(-5)
0+5
5
You have 3 pounds of egg whites. You need 8 oz to make one serving of consommé.How many servings can you make?
The number of servings you can make is 6
How to determine the number of servings?The given parameters are:
Available = 3 poundsContent per serving = 8 ozNext, we convert oz to pounds
Content per serving = 8 * 0.0625 pound
This gives
Content per serving = 0.5 pound
The number of serving is then calculated as:
Number = Available/Content per serving
This gives
Number = 3/0.5
Evaluate
Number = 6
Hence, the number of servings is 6
Read more about proportions at:
https://brainly.com/question/1781657
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