Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation:
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
Question 9 options:
a)
21, 23, 25
b)
41, 45, 49
c)
21, 41, 61
d)
21, 25, 29
The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Given that,
The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.Based on the above information, we can see that
There is the addition of 4 in each next number i.e.
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore, the option d is correct
Hence, the other options are incorrect.
Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
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The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?
Answer:
114
Step-by-step explanation:
Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7
Answer: the answer is c. 3
Step-by-step explanation:
Subtract 4x from 7x
3x-2=7
Then add 2 to 7
3x=9
Then divide 3 by 3x and 9 by 3
X=3
c. The value of x is 3
What is line segment ?
A line segment is a part of straight line measured between two points.
A line segment always have a definite length.
What is the value of x ?Given, a line segment contains points A, B, C in order.
Also the point B is the middle point of AC.
Hence, we can say that, AB = BC ......(1)
Here, AB = 7x-2 & BC = 4x+7
Therefore, from (1) we get,
7x-2 = 4x+7
⇒ 7x-4x = 7+2
⇒ 3x = 9
⇒ x = 3
The value of x = 3
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If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
Simplify the expression below and show each step. Justify the order of your steps in a brief explanation. 5-6x8diviededby8+3
Answer:
2
Step-by-step explanation:
First we have to figure out which order to solve this equation.
Following the rules of PEMDAS, we know it would be 5 - [6 x 8 ( ÷ 8 ) ] + 3.
Please tell me if you need a larger explanation on PEMDAS, or what the brackets and parenthesis mean.
Next we simplify the equation, bringing us to the answer, 2.
Once again, please tell me if you need to know how I simplified the equation.
Hope this helped :)
In what ways are the sine and cosine graphs different?
Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve. A sine graph is the lighter curve on the graph.
someone help please, summer school is annoying
Answer:
6
Step-by-step explanation:
2y/3 + 1/3 = y/2 + 1/6
We want to eliminate the fractions
The least common multiple of 3,2 and 6 is 6
Multiply each side by 6 to get rid of the fractions
6(2y/3 + 1/3) = 6(y/2 + 1/6)
4y +2 = 3y +1
What is the problem with this statement?
If you taking geometry, then you are in the 9th grade
A. It does not assume that all students take geometry
B. It does not assume that all students are in the 9th grade
C. It assumes that no students taking geometry are in the 9th grade
D. It assumes that all students taking geometry are in the 9th grade
Please I need help with this
Answer:
D. It assumes that all students taking geometry are in the 9th grade
Step-by-step explanation:
Help please.....anyone
Answer:
200 dollars
Step-by-step explanation:
Using substitution to alive equation with two variables
Answer:
X=27
Step-by-step explanation:
-4•4= -16
Move -16 to the other side
3x=81
x=27
Find the missing angles in the figure below.
Answer: The answer is A. Just check the only answer with y=z.
Answer:
First option is right.
Step-by-step explanation:
w=78 (vertically opposite angles)
l=82 (vertically opposite angles)
M= 180-64=116 (linear pair)
sorry im not sure how to find y and z
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus 5
Answer:
y=3x+5
Step-by-step explanation:
y=y=y=x+x+x+5 is what I think you were saying. In that case:
y=x+x+x+5
y=3x+5
The equation of the line is y=3x+5
The equation of the given line is y = 2/3 x - 2
The standard form of the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
from the diagram attached, we can use the coordinate (0, -2) and (3, 0)
Get the slope
Slope "m" = 0-(-2)/3-0
m = 2/3
Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2
Substitute the given parameters into the equation:
y = mx + b
y = 2/3 x + (-2)
y = 2/3 x - 2
Hence the equation of the given line is y = 2/3 x - 2
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Plz help ASAP will give brainliest if answered correctly!!
Answer:
C
Step-by-step explanation:
Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C
The smallest number by which 192 should be multiplied to make it a perfect cube is
Answer:
[tex]9[/tex]
Step-by-step explanation:
The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].
How many 6 packs of soda do jace and jake need to buy if each person has one soda?
Answer:
3 6 pks are required
Step-by-step explanation:
There are 14 people at the party
14 = 6x where x is the number of 6 pks
Divide each side by 6
14/6 = 6x/6
2 1/3 = x
Since we cannot buy part of a 6 pk, we round up
3 6 pks are required
a) write in simplified form the value of the area of the trapesoid.
Answer:
[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]
Can someone help me??
Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary
Answer:
67.5 degrees
Step-by-step explanation:
Hope that helps
Are my answers correct?
Answer:
Step-by-step explanation:
1. it is an equilateral triangle.
let base=2x
let h be the height from centre.
h/8=sin 30=1/2
h=1/2×8=4
so total height=8+4=12
again x/8=cos 60
x=(√3/2)×8=4√3
Base=2x=2×4√3=8√3
area of triangle=1/2×8√3×12=48√3 sq. units.
2.
one diagonal=3+8=11
second diagonal=5+5=10
area=1/2 d1d2=1/2×11×10=55 sq units
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan (θ +x) and sin (θ +x))
Answer:
tan (θ+x)= -33/56
sin (θ+x)=33/65
Step-by-step explanation:
cosθ= -4/5 , sin x = -12/13
cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)
sinθ=- √(1-16/25)=- √(9/25)=-3/5
sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)
cosx=√(1-144/169)= √(25/169)=5/13
tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4
tgx= sinx/cosx=(-12/13)/(5/13)= -12/5
tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)
tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56
sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65
Find the area of parallelogram BDKJ.
Answer:
6 x 4 = 24
Step-by-step explanation:
JC = 4
BD = 6
Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.
Answer:
pillow cost 3, quilt costs 5
Step-by-step explanation:
let p represent pillow and q represent quilt
rest is in pic attached
Choose the graph below that has an undefined slope. (5 points) vertical line through the point negative 6 comma 0 line through the points negative 1 comma 1 and 0 comma negative 4 horizontal line through the point 0 comma negative 6 line through the points negative 2 comma negative 3 and 0 comma 6
Answer:
vertical line through the point (-6,0)
Step-by-step explanation:
Vertical lines have an undefined slope.
A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5
Answer:
area of the sector =4π/3 cm²
Step-by-step explanation:
To find the area of the sector, we will follow the steps below;
first write the formula for finding area of a sector
area of a sector = Ф/360 × πr²
where r is the radius
from the question given
Ф= 30 and radius = 4 centimeters
we can proceed to insert the values into he formula above
area of a sector = Ф/360 × πr²
=30/360 ×π×4²
=1/12 ×π×16
=16π /12
=8π/6
=4π/3
area of the sector =4π/3 cm²
3
gathered at
There were 632
animals
the river. A herd of
187 elephants and
266 zebras left the
river area. How
many animals were
still at the river?
Answer:
179
Step-by-step explanation:
The total number of animals in the river was 632.
A herd of 187 elephants and 266 zebras left the river area.
Adding them up, the total number of animals that left the river area is:
187 + 266 = 453
Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:
632 - 453 = 179
A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
Given: HJ =4x+9, JK=3x+3
and KH=33
Find: x, HJ, and JK
X= BLANK?
HJ=BLANK?
JK=BLANK?
The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.
What is Segment Addition Postulate?
If B is between A and B, then AB +BC = AC
Find the values of x, HJ and JK
Given that, HJ=4x+9
JK=3x+3
KH=33
According to the Segment Addition Postulate, we can say that
HJ+JK=KH
4x+9+3x+3=33
(4x+3x)+(9+3)=33
7x+12=33
7x=33-12=21
x=3HJ=4x+9=4(3)+9
HJ=12+9=21
JK=3x+3=3(3)+3
JK=9+3=12
The value of x=3, length of HJ=21 and JK=12 .
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a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
Conner has $25,000 in his bank account. Every month he spends
$1,500. He does not add money to the account. Which equation could
be used to figure out when Conner will run out of money?
Answer: The answer is the last variant.[tex]\boxed{\boxed{25000-1500*x=0}} \\\\\\ \b{For x=16 months} \ \ \ \to \to \to \ \ \ 25000-1500*16= 25000-24000 = \boxed { 1000 < 1500}[/tex]
Step-by-step explanation:
