Answer:
Given: cos θ = 5/13 where 0 ≤ θ < 90
Find tan 2θ
Step-by-step explanation:
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )
Answer:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,1)[/tex] [tex]B =(2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]D = (5,1)[/tex]
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
[tex](x,y)=>(-x,y)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]
When a point is translated 2 units down, the rule is:
[tex](x,y) => (x,y-2)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]
So, the new coordinates are:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
7(5x + 7) = 399 can someone tell me what is x with steps please and thank you
Answer:
x = 10
Step-by-step explanation:
[tex]7(5x+7)=399\\\\35x+49=399\\\\35x+49-49=399-49\\\\35x=350\\\\\frac{35x=350}{35}\\\\ \boxed{x=10}[/tex]
Hope this helps.
Please help out !
Select all of the quadratic expressions in vertex form.
A (x - 2)2 +1
B x2 - 4
C + (x+1)
D (+3)
E (3 – 4)² + 6
AB describes a line.
AB has a gradient of 3 and passes through the point (1, 15)
Find the equation of line AB,
Answer:
y = 3x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (1, 15) into the partial equation
15 = 3 + c ⇒ c = 15 - 3 = 12
y = 3x + 12 ← equation of line AB
sin(20)=x/670 ????????
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
Trig
Let's say the height of a house is 29ft and you determined this by standing 6 feet away from the house with an angle of 75 degrees to the top of the house. If you move 24 feet away from the same house what is the new angle of elevation to the top of the house?
Answer:
50.39 degrees
Step-by-step explanation:
Model this situation with a right triangle. The horizontal leg of this right triangle is 24 ft, whereas the height (top) of the house is 29 ft, which forms the vertical leg. The ratio of these two measurements is 29/24, which is the tangent of the angle of elevation. Using a calculator to find the new angle:
tan x = 29/24 = 0.88 radian, or 50.39 degrees
The base of a circular fountain has a radius of 3.5 feet. What is the approximate circumference of the base of the fountain?
Answer:
circumference = 21.98 feet
Step-by-step explanation:
circumference = 2 x R x π = 2(3.5)(3.14) = 21.98 feet
HELP SISJSJSJ BRAINLIEST
Answer: 100 miles
Step-by-step explanation:
plug in 2 for h and multiply
50 by 2=100
Answer:
this looks hard i just need pints so that i can ask my question
Step-by-step explanation:
The straight lines y = px + 9, where p is a constant, and y = ½ x – 1 are perpendicular. (a) State the value of p *
Answer:
14587676
Step-by-step explanation:
A rectangle has a width of 3 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x.
Answer:
6
Step-by-step explanation:
the length is 6 inch.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here, we have,
A rectangle has a width of 3 inches and a length of x inches.
The value of the perimeter of the rectangle is equal to the value of the area of the rectangle.
i.e. 2(3+x)=3x
x=6
hence, the length is 6 inch.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME
Answer:
Its - 2..................
subtract and simplify 5 6/9 - 2 1/3
Answer:
Your answer should be 3 1/3
Step-by-step explanation:
:)
in the sequence 80, 64, 48, 32, ..., what number should come next?
a) 96
b) 14
c) 31
d) 16
(b) sixteen is the answer
Answer:
16 should come next
Step-by-step explanation:
First, determine the rule
N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.
Therefore, subtract 16 from 32 to receive 16
simplify 3(7t-5) - 2t = 4
Answer:
Step-by-step explanation:
3(7t - 5) - 2t = 4
3*7t - 3*5 - 2t = 4
21t - 15 - 2t = 4 {combine like terms}
21t - 2t - 15 = 4
19t - 15 = 4 {Add 15 to both sides}
19t = 4 + 15
19t = 19 {Divide both sides by 19}
t = 19/19
t = 1
8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?
Answer:
21
Step-by-step explanation:
Here are some numbers
10 13 15 20 27 30
10 15 20 is tan arithmetic progression
Use three if the numbers to make a different arithmetic progression
Describe the rule.
Answer:
15, 27, 39
a[n] = a[n-1] +12; a[1] = 15
Step-by-step explanation:
The terms of an arithmetic progression have a common difference.
There are numbers in the given list that have differences of 5, 7, 12. The numbers with differences of 5 have already been listed. Other possible sequences are ...
13, 20, 27 . . . . common difference of 7
15, 27, 39 . . . . common difference of 12
The rule for the latter sequence is "each term is 12 more than the last" and the first term is 15.
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
What is the equation for the graph on question 1
Answer: f(x) = x^2 - 4*x
Step-by-step explanation:
This is a quadratic equation, that can be written in factorized form as:
f(x) = A*(x - a)*(x - b)
Where A is a real number, a and b are the roots of the equation.
In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:
a = 0
b = 4
So the equation is:
f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)
Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4
Then:
f(2) = A*2*(2 - 4) = -4
= A*2*(-2) = -4
= A*-4 = -4
A = -4/-4 = 1
A = 1
Then the equation is:
f(x) = x*(x - 4) = x^2 - 4*x
The cell phone company charges $42 plus .02 per text (t). Which algebraic expression represents the total charge per
month?
A. 42.02t
B. 42 + .02t C. 44t. D. 42 + t
PLEASE HELP
Answer:
the answer is b) 42 + .02t
Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d. The expression consists of terms, and each term contains factors.
Answer:
The expression consists of two terms, and each term contains two factors.
Step-by-step explanation:
Given - Complete the statement to describe the expression ab + cd
To find - The expression consists of ....... terms, and each term contains .......factors.
Proof -
The given expression has two terms
Term I - ab
Term II - cd
Now,
Each term contains two factors
In Term I - one factor is a and another factor is b
In Term II - one factor is c and another factor is d
Definition used -
A term is a single mathematical expression.It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
A Factor is Something which is multiplied by something else.A factor can be a number, variable, term, or a longer expression.
Evaluate d-17 when d=30
d-17
d=30
Replace d
30-17=13
Answer:
d-17
= 30-17
= 13
Step-by-step explanation:
Since d = 30, so d-17= 13
5(m+7n) distributive property to write an equivalent expression
The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)
Answer:
13
Step-by-step explanation:
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Okay have posted the next question.
Answer:
1. only 1 unique triangle can be made
2. only 1 unique triangle can be made
3. multiple triangles are possible
4. True
5. True
6. False
7. only 1 unique triangle can be made
8. only 1 unique triangle is possible
9. multiple triangles are possible
10. no triangle is possible
Step-by-step explanation:
Ask in comments if you got any questions.
Answer:All are correct I think.
Step-by-step explanation:
6 =a/4 + 2 * pls help me, thank you
Answer:
16
Step-by-step explanation:
16/4+2( 16 divided by 4 then add 2)
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
Write 0.31% as a decimal.
Answer:
0.31% = 0.0031 in decimal form.
Step-by-step explanation:
Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).
Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Given:
Total paint used = 7.9 pints
Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.
The remaining paint is white.
To find:
The amount of white paint.
Solution:
Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.
[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]
[tex]\text{Blue paint}=3.16[/tex]
Now,
[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]
[tex]\text{White paint}=7.9-3.16[/tex]
[tex]\text{White paint}=4.74[/tex]
Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.
Which is the simplified expression for 3^-4*2^3*3^2/2^4*3^-3
[tex]\frac{3^-^4*2^3*3^2}{2^4*3^-^3}\\=\frac{3}{2}[/tex]