Answer:x=35.6
Step-by-step explanation:
look at the left triangle. I hope you're familiar with SOH, CAH and TOA.
sin 60°=O/(11√7)
so O= (11√7)sin 60°
now look at the triangle on the right.
cos 45=adjacent/x
cos 45=[(11√7)sin60°]/x
therefore, using ur calculator, you'll get x= [(11√7)sin60°]/cos 45
x=35.64407384
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4
Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
[tex]a_n=a_1+d(n-1)[/tex] and we are given enough info to fill in:
[tex]a_n=-35+4(n-1)[/tex] and
[tex]a_n=-35+4n-4[/tex] and
[tex]a_n=-39+4n[/tex] or in linear format:
[tex]a_n=4n-39[/tex] where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
[tex]a_2=4(2)-39[/tex] so
[tex]a_2=8-39[/tex] and
[tex]a_2=-31[/tex]
The third term:
[tex]a_3=4(3)-39[/tex] and
[tex]a_3=12-39[/tex] so
[tex]a_3=-27[/tex] and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
[tex]a_5=4(5)-39[/tex] and
[tex]a_5=20-39[/tex] so
[tex]a_5=-19[/tex]
ASAppppppppppppppppppppppppppppppppppp
Answer:
3/8
Step-by-step explanation:
that is the answer
I solved it using a calculator
please give me brainliest
the answer is 3/8 because im right
Help anyone.!!!!!!!!
Answer:
2/5 is the answer man ooooo
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
So when you have a negative exponent, it means reciprocal.
[tex]5^{-2}[/tex] will now be [tex]\frac{1}{5^2}[/tex]
Now find the squared 5. 5 * 5 is 25.
So, your answer is 1/25
Hope this helps !!
-Ketifa
In ΔABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.
Answer:
The length of [tex]b[/tex] is approximately 11.7.
Step-by-step explanation:
The sum of internal angles in triangles equals 180°, as we know the measures of angles B and C, we determine the measure of angle A by algebraic means:
[tex]A = 180^{\circ}-B-C[/tex] (1)
([tex]B = 22^{\circ}[/tex], [tex]C = 52^{\circ}[/tex])
[tex]A = 180^{\circ}-22^{\circ}-52^{\circ}[/tex]
[tex]A = 106^{\circ}[/tex]
The length of [tex]b[/tex] is found by the Law of Sine:
[tex]\frac{b}{\sin B} = \frac{a}{\sin A}[/tex]
[tex]b = a\cdot \left(\frac{\sin B}{\sin A} \right)[/tex]
([tex]a = 30[/tex], [tex]A = 106^{\circ}[/tex], [tex]B = 22^{\circ}[/tex])
[tex]b = 30\cdot \left(\frac{\sin 22^{\circ}}{\sin 106^{\circ}} \right)[/tex]
[tex]b \approx 11.7[/tex]
The length of [tex]b[/tex] is approximately 11.7.
sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months and lent to bishwant at the same rate of compound interest compounded half-yearly for the same interval of time . How much profit did she make
Answer: Rs 275.40
Step-by-step explanation:
Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:
First, well calculate the interest. This will be:
= PRT/100
= (25000 × 12 × 1.5 / 100)
= 4500
Total amount to be paid back will be:
= Rs 25000 + Rs 4500
= Rs 29500
Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:
A = P(1 + r)^t
where,
A = Final Amount
P= Principal = 25000
r= Rate of interest =
t= Time = 3 cycles
Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles
The rate will be = 12%/2 = 6% yearly.
We'll then slot the values into the question and this will be:
A = P(1 + r)^t
A = 25000(1 + 0.06)³
A = 25000(1.06)³
A = 25000 × 1.191016
A = 29775.4
Therefore, Bishwant is expected to pay Rs 29775.4
Then the profit that Sunayana is expected to make will be:
= Rs 29775.4 - Rs 29500
= Rs 275.40
50 Points:
What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5
A. 1,2
B. 0,5/3
C. 2,3
D. -1,1
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
Find the value of x for which ABCD must be a parallelogram
a. 7
b. 2
c. 1
d. 4
Step-by-step explanation:
x+3=2x-1
x-2x=-1-3
-x=-4
x=4
Please if someone can help me
[tex]\huge\underline\gray{✏ANSWER}[/tex]
[tex] \frac{6}{7} [/tex]
I hope it helps!
#BrainliestBunch
Solve 5x + 14 = k for x
Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
Which of the
x
xx-values are solutions to the following inequality?
x
>
111
x>111x, \gt, 111
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
x
=
97
x=97x, equals, 97
(Choice B)
B
x
=
101
x=101x, equals, 101
(Choice C)
C
x
=
119
x=119x, equals, 119
Given:
The inequality is:
[tex]x>111[/tex]
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
[tex]x>111[/tex]
It means all the real numbers greater than 111 are the solutions to the given inequality.
[tex]97<111[/tex], so 97 is not a solution.
[tex]101<111[/tex], so 101 is not a solution.
[tex]119>111[/tex], so 119 is a solution.
Therefore, the correct option is C.
Given:
The inequality is:
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
Which segment is the hypotenuse?
Answer:
SU
Step-by-step explanation:
The hypotenuse is opposite the right angle
The hypotenuse is US or SU
We have to pick,
The segment which is hypotenuse,
Hypotenuse will be the opposite segment of the right angle.
Now it will be,
→ SU (or) US
Hence, SU is the hypotenuse.
Can anyone help me please
Answer:
1
Step-by-step explanation:
Basically you just need to find the square root of all of them
36=6 -1=1 9=3 . -1=1
6-1-3-1=1
affu it so hard question please help me
[tex] \frac{x - 1}{ {x}^{2} - 3x + 2 } + \frac{x - 2}{ {x}^{2} - 5x + 6} + \frac{x - 5}{ {x}^{2} - 8x + 15} [/tex]
9514 1404 393
Answer:
(3x-7)/(x^2-5x+6)
Step-by-step explanation:
Not particularly hard, just tedious. You need to factor all the quadratics, cancel common factors, and combine terms using a common denominator.
[tex]\dfrac{x-1}{x^2-3x+2}+\dfrac{x-2}{x^2-5x+6}+\dfrac{x-5}{x^2-8x+15}\\\\=\dfrac{x-1}{(x-1)(x-2)}+\dfrac{x-2}{(x-2)(x-3)}+\dfrac{x-5}{(x-3)(x-5)}=\dfrac{1}{x-2}+\dfrac{1}{x-3}+\dfrac{1}{x-3}\\\\=\dfrac{1}{x-2}+\dfrac{2}{x-3}=\dfrac{(x-3)+2(x-2)}{(x-2)(x-3)}=\dfrac{x-3+2x-4}{x^2-5x+6}\\\\\boxed{\dfrac{3x-7}{x^2-5x+6}}[/tex]
Answer:
[tex]\rm \displaystyle \frac{3x - 7}{ {x}^{2} - 5x + 6 } [/tex]
Step-by-step explanation:
we would like to simplify the following:
[tex] \rm\displaystyle \frac{x - 1}{ {x}^{2} - 3x + 2 } + \frac{x - 2}{ {x}^{2} - 5x + 6} + \frac{x - 5}{ {x}^{2} - 8x + 15}[/tex]
to simplify algebraic expression the first step is to figure out the LCM of the denominator in order to do so we can factor the denominators therefore factor the denominators and work out the LCM
[tex]\rm\displaystyle \frac{x - 1}{ (x - 1)(x - 2)} + \frac{x - 2}{ (x - 2)(x - 3)} + \frac{x - 5}{(x - 5)(x - 3)}[/tex]
reduce fraction:
[tex]\rm\displaystyle \frac{1}{ x - 2} + \frac{1}{ x - 3} + \frac{1}{x - 3}[/tex]
figure out the LCM and divide it by the denominator and multiply the result with the numerator which yields:
[tex]\rm\displaystyle \frac{1}{ x - 2} + \frac{1}{ x - 3} + \frac{1}{x - 3} \\ \\ \displaystyle \frac{x - 3 + x - 2 + x - 2}{(x - 2)(x - 3)} [/tex]
simplify addition:
[tex]\rm \displaystyle \frac{3x - 7}{(x - 2)(x - 3)} [/tex]
further expansion if necessary:
[tex]\rm \displaystyle \frac{3x - 7}{ {x}^{2} - 5x + 6 } [/tex]
What are the final coordinates for the figure?
Answer:
2
Step-by-step explanation:
Reflection over y axis rule
(x,y) --------> (-x,y)
Rule explained:
Simply change the sign of the x value and keep the y value as it it
Coordinates of A (-4,0)
Apply reflection over y axis rule
(-4,0) -----> (4,0)
Next we want to apply a translation with the rule ( x - 5 , y + 2 )
Explanation of rule:
Simply subtract 5 from the x value and add 2 to the y value
Current coordinates of A (4,0)
Apply translation rule
(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )
The y value of coordinate A would be 2 after all of the transformations
a sweater was 48$ but its now 2/3 of it original price and you have a 5$ coupon
Answer:
27
Step-by-step explanation:
First find 2/3 of the original price
48*2/3 =32
Now subtract the coupon
32 -5
27
You will pay 27 dollars before tax
Question 2
Find HY if YL = 9 .
Answer:
HY = 18
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so
HY = 2 YL = 2 × 9 = 18
PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time
the Length , breadth and thickness of a brick are 18 cm 8 cm and 5 cm respectively find its area of the largest face and volume
Step-by-step explanation:
vol: 18* 8* 5 cm³
720 cm³
hope this help
Rewrite the expression in the picture in the form z^n.
Step-by-step explanation:
here's the answer to your question
Answer:
z^ 1/3
Step-by-step explanation:
sqrt( z / z^ 1/3)
We know a^b / a^c =a^( b-c)
sqrt ( z^(1-1/3))
sqrt( z^ 2/3)
Rewriting sqrt as ^ 1/2
z^ (2/3) ^ 1/2
We know a^b^c = a^(b*c)
z^(2/3 * 1/2)
z^1/3
How do we find an equation of a linear function by giving two
points
Answer:
the right side of the image is truncated,
but "A" seems to be the answer....
take (2,3) and (3,4)
#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1
#2 ) y = 1x + b
#3 plug in (2,3) ... 3 = 1(2) + b ... B=1
#4 Y= 1 x + 1
Step-by-step explanation:
Pls help me find the answer to this problem. Don't show your work, just give the correct answer.
Answer:
(3bc)²Step-by-step explanation:
9b²c² = 3²b²c² =(3bc)²Used property of exponents
[tex]a^cb^c = (ab)^c[/tex]Now we have to find,
The answer to this problem.
Then use the property of exponents,
→ [tex] \sf a^cb^c = (ab)^c[/tex]
Let's find the solution,
→ 9b²c²
→ 3²b²c²
→ (3bc)²
Hence, (3bc)² is the answer.
find the measure of x . Answer me please
Answer:
40
Step-by-step explanation:
The sum of measure of exterior angles is equal to 360
5x-20+2x+5+x+15+x = 360 add like terms
9x = 360 divide both sides by 9
x = 40
Cuánto dinero me gasto en colocarle baldosas a una sala comedor que tiene 9.30 de largo por 4.20 metros de ancho
La pregunta está incompleta ya que no se da el costo de la colocación de baldosas por m².
Suponga que el costo de los mosaicos por m² = c
Respuesta:
39.06c
Explicación paso a paso:
El costo del embaldosado será:
El costo por m² * área total a embaldosar
Dado que :
La dimensión de la habitación a embaldosar es:
Longitud = 9,30 metros
Ancho = 4.20 metros
El área total de la habitación a embaldosar es = Largo * ancho
Área total de la habitación a embaldosar = 9,30 m * 4,20 m
Superficie total de la habitación a embaldosar = 39,06 m²
Si el costo del mosaico por m² = c
El costo de embaldosar la habitación será:
39,06 * c = 39,06c
When you look at the two cylinders with these values of r and h, what do you notice about the proportions of the cylinders?
Answer and Explanation:
Volume of a cylinder is given by
V= Pi*r²*h
where v= volume of the cylinder
Pi is constant = 22/7 or 3.14159
r= radius of the circle of the cylinder
h= height of the cylinder
If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2
Answer: One of the cylinders is short and wide, while the other is tall and thin.
Arnold makes a chart to summarize what happens when light interacts with matter and is reflected. Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answer:
In diffuse reflection, reflected rays move in different directions.
Step-by-step explanation:
Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.
Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.
During diffuse reflection, light is reflected in different directions.
Answer:
In scattering, long wavelengths are scattered the most.
Step-by-step explanation: took the test for Edg 21
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
At the movie theatre, child admission is $5.20 and adult admission is $9.00. On Monday, 156 tickets were sold for a total sales of $1065.80. How many adult
tickets were sold that day?
Answer:
67 adult tickets were sold that day
Step-by-step explanation:
x= Number of adults that day, y=Number of children that day
ATQ, x+y=156 and 5.2*x+9*y=1065.8. Solving it, we will get x=89 and y=67
I really need help plz help me
Answer:
64
Step-by-step explanation:
This is actually really easy you just have to subtract 36 from 100
Hope this helps also please mark brainliest
What happens when the weather gets colder?
A.The air pressure will decrease slowly.
B. The air pressure will rise.
C.The air pressure will decrease quickly.
D. The air pressure will not change.
Step-by-step explanation:
B. The air pressure will rise.
hope this helps you
have a nice day
Answer:
B
Step-by-step explanation:
Explain how to plot the point (3, –7) on the coordinate plane.On a coordinate plane, point A is (negative 4, negative 1), point B is (negative 4, 1), point C is (5, negative 1), and point D is (5, 2). Point P is at (5, 1). Which point is a reflection of Point P across the x-axis?
Answer:
a) In a coordinate plane, the horizontal axis is the x-axis, and the vertical axis is the y-axis.
So, a point (x, y) is at:
A horizontal distance of x units from the origin.
A vertical distance of y units from the origin.
So the point (3, -7) is at:
3 units at the right from the origin
7 units downwards (because is a -7) from the origin.
The graph of the point can be seen below:
Now we want to find a reflection across the x-axis.
b) For a general point (x, y), a reflection across the x-axis gives:
(x, -y)
So, if our point P is:
P (5, 1)
The reflection across the x-axis just changes the sign of the y-value, which gives:
(5, -1)
Then the correct option is point C:
(5, -1)
Answer:
its C on exgenity
Step-by-step explanation: