Answer:100cm
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Please solve this question.
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
A + C = π - B
B + C = π - A
Cofunction Identities: sin [(π/2) - A] = cos A
cos [(π/2) - A] = sin A
Sum to Product Identity: sin A - sin B = 2 cos [(A + B)/2] · sin [(A - B)/2]
Pythagorean Identity: cos²A + sin²A = 1 → cos²A = 1 - sin²A
Even/Odd Identity: cos (-A) = -cos(A)
Double Angle Identity: cos (2A) = 2 cos²A - 1
Proof LHS → RHS:
LHS: cos [(B + C) - A] - cos [(A + C) - B] + cos [(A + B) + C]
Given: cos [(π - A) - A] - cos [(π - B) - B] + cos [(π - C) - C]
= cos (π -2A) - cos (π -2B) + cos (π -2C)
Cofunction: cos (-2A) - cos (-2B) + cos (-2C)
Even/Odd: -cos (2A) + cos (2B) - cos (2C)
Double Angle: -(2cos²A - 1) + cos (2B) - cos (2C)
= 1 - 2cos²A + cos (2B) - cos (2C)
Sum to Product: 1 - 2cos²A - 2sin(B+C) · sin (B-C)
Given: 1 - 2cos²A - 2sin (π - A) · sin (B - C)
Cofunction: 1 - 2cos²A - 2sin A · sin (B - C)
Pythagorean: 1 - 2(1 - sin²A) - 2sin A · sin (B - C)
= 1 - 2 + 2sin²A - 2sin A · sin (B - C)
= -1 + 2sin²A - 2sin A · sin (B - C)
Factor: -1 + 2sin A (sin A - sin (B - C))
Given: -1 + 2sin A [sin (π - (B + C)) - sin (B - C)]
Cofunction: -1 + 2sin A [sin (B + C) - sin (B - C)]
Sum to Product: -1 + 2sin A [2 cos B · sin C]
= -1 + 4sin A · cos B · sin C
LHS = RHS [tex]\checkmark[/tex]
Graph the solution of this inequality
å (x+8) > 2 (2.0 + 10)
-5
-4
-3
-2
-1
0
1
2
3
4
5
Drag a point to the number line.
Show Example
The required solution to the given inequality is x > 16, as shown in the graph.
What is inequality?In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to). For example, "x + 3 < 10" is an inequality that states that the value of x plus 3 is less than 10.
Here,
As mentioned in the question,
To graph, the solution of the inequality (x+8) > 2 (2.0 + 10).
Simplifying the given inequality:
(x+8) > 2 (2.0 + 10)
x+ 8 > 2(12)
x > 24 - 8
x > 16
Thus, the required solution to the given inequality is x > 16.
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if you bought 845.67 mL of dish soap and have already used 242.36 mL, how much do u have left
Answer:
I believe you just subtract 845.67ml - 243.36 which is equal to 602.31
Step-by-step explanation:
what is the area of this circle
Answer:
4,500
Step-by-step explanation:
A cone with volume 1350 m³ is dilated by a scale factor of 13. What is the volume of the resulting cone? Enter your answer in the box. M³.
The volume of the resulting cone is equal to 50 [tex]m^3[/tex].
Given the following data:
Volume of cone = 1350 [tex]m^3[/tex].Dilation factor = [tex]\frac{1}{3}[/tex].How to calculate the volume.Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Applying the dilation factor, we have:
[tex]V =(\frac{1}{3} )^3 \times 1350\\\\V=0.037037037 \times 1350[/tex]
V = 50 [tex]m^3[/tex].
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18+(-22.45) what does this equal?
Answer:
Today: Monday, 12 October 2020
Hour: 20.25 WIB (in Indonesian)
________________________
18 + (-22.45) = -4,45
-22.45
18
_____+
-4.45
There are 900 students
at Acute Middle
School. The ratio of
boys to girls is 2 to 3.
What percent of the
students are girls?
I need work to be shown.
much appriciated if helping
what value of n makes this equation true?
Answer:
c
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
When converting radical expressions to rational exponents the exponent on the radicand (1) becomes the numerator of the rational exponent, and the index/root of the radical (4) becomes the denominator of the rational exponent. (1/4)
what is -6.5 x (-.4)
Answer:
2.6x
Step-by-step explanation:
Answer:
2.6
Step-by-step explanation:
4 quarters are equal in value to 10 dimes.
1. How many dimes equal the value of 6 quarters?
2. How many dimes equal the value of 14 quarters?
3. What value belongs next to the 1 in the table?
What does it mean in this context?
Answer:
Step-by-step explanation:
Which statement could be used in step 2 when proving x =
30?
Statements
1. mZORP - 80°; mZORN-(3x+10)°
Reasons
1. given
no
- N در دل
O ZORP and ZORN are a linear pair
O ZORP and ZORN are vertical angles
O 80 = 3x +10
O x = 30
(a) ∠ORP and ∠ORN are a linear pair .
Let us prove that option a , is the correct option by finding the value of x .
Angle ORP and angle ORN are a linear , which means their sum will be equal to 180° .
So :-
[tex]80 + 3x + 10 = 180[/tex]
[tex]3x + 80 + 10 = 180[/tex]
[tex]3x + 90 = 180[/tex]
[tex]3x = 180 - 90[/tex]
[tex]3x = 90[/tex]
[tex]x = \frac{90}{3} [/tex]
[tex]x = 30°[/tex]
As we were able to find put the value of x only after we cam to know that ∠ORP and ∠ORN are a linear pair , we say that option a is the correct statement .
Therefore , the correct answer is :-
(a) ∠ORP and ∠ORN are a linear pair .
The value of x is equal to 30°. Hence, proved.
What are angles at a point on a straight line?Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line. Angles on a straight line add to 180°.
Given that, m∠ORP=80° and m∠ORN=(3x+10)°.
Here, m∠ORP+m∠ORN=180° (Angles on straight line adds upto 180°)
80°+(3x+10)°=180°
90°+3x=180°
3x=90°
x=90°/3
x=30°
Hence, proved.
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If f(x) = 3^x and g(x) = 2x + 5, at which value of x is f(x) < g(x)?
A. -1
B. 2
C. -3
D. -4
Answer:
A) x = -1
Step-by-step explanation:
[tex]f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)[/tex]
[tex]f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)[/tex]
[tex]f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)[/tex]
[tex]f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)[/tex]
Solve for y.
2v+3y=10
Simplify your answer as much as possible.
V
D
Answer:
y = [tex]\frac{10-2v}{3}[/tex]
Step-by-step explanation:
Given
2v + 3y = 10 ( subtract 2v from both sides )
3y = 10 - 2v ( divide both sides by 3 )
y = [tex]\frac{10-2v}{3}[/tex]
HELP HAVING BAD DAY Find the ratio a:b if it is given that:
3a=8b
Answer:
..
Step-by-step explanation:
Answer:
3;8
Step-by-step explanation:
The surface area of a cylinder is approximately 640.56 square meters. The radius of the cylinder is 5 meters less than the height of the cylinder. To the nearest whole meter, what are the radius and height of the cylinder?
the radius is approximately 6 meters,
height is approximately 11 meters
The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
What is cylinder?A cylinder is a "three-dimensional object with two round flat bases and one curved side. It has a curved surface in the middle. The base and the top surface are identical".
According to the question,
Surface area of the cylinder = 640.56 m²
Let the height of the cylinder = x meters
Let the radius of the cylinder = (x-5)meters
Formula for surface area of cylinder = 2πrh ( where 'r' is the radius of the cylinder and 'h' height of the cylinder)
640.56 = 2(3.14)(x-5)(x)
640.56/(6.28) = x² - 5x
x² - 5x =102
x² - 5x - 102 =0
using quadratic equation, [-b±√(b² - 4ac)]/2a.
b = -5; a=1; c=102
x =[-(-5) ±√(-5)² - 4(1)(102)]/2
= [5 ± √433]/2
x = 11 and -7
since x=-7 neglect negative value, we get x=11.
The height of the cylinder is 11 meters
The radius of the cylinder is (11 - 5) = 6 meters.
Hence, The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
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Karen is trying to decide which home phone company to use. PhoneHome was a monthly charge of
$45 and charges $0.01 per minute. CallMeMaybe has a monthly charge of $10 and charges $0.05 per
minute. Write an inequality to represent the number of minutes used in order for PhoneHome to
have the better deal.
Answer:
0.01x+45>0.05x+10
Sort the following numbers in order from least (bottom) to greatest (top)
Answer:
bdacStep-by-step explanation:
the least value is negative 9 x 10-³
the greatest value is positive 7 x 10-⁵
Answer:
2,4,1,3
Step-by-step explanation:
So, I labeled each one, 1,2,3, and 4 respectively.
1, when expanded is 0.000005
2 is equal to -0.009
3 is simple 0.00007
and 4 is -0.0000002
Obviously the one of the negative numbers is the smallest. The bigger number with the negative sign is more negative because it is farther away from one on the number line. Therefore 2 is the smallest. That makes 4 the second smallest. 3 is larger than 1 because there are less zeros to the first non-zero digit. That places the order from least to greatest as:
2,4,1,3
How do you do a 180 rotation around the point (2, 0)??
Answer: (x,y)→(−x,−y)
Step-by-step explanation: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y)
A farm grew 19.8 tons of wheat in 2013. The farm’s wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a for estimating the total output of wheat in tons, in 2015?
A. 20+10+5
B. 20(10)(5)
C. 20+1.1+1.05
D. 20(1.1)(1.05)
Please show ur work or at least explain!!
Tysm!
Answer:
B
Step-by-step explanation:
Because you are multiplying the 20 by the 10 and 5 to get the percentage that wheat increased. all the other options are either just adding number together of multiplying the wrong numbers.
If PQRS is a parallelogram and PQ=9x+1 and RS=13x-11, solve for x.
Applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
What is a Parallelogram?A parallelogram is a quadrilateral that has two pairs of opposite sides that are congruent to each other.
Given the following:
PQ = 9x + 1RS = 13x - 11Find x by creating an equation:
PQ = RS (congruent sides)
Substitute
9x + 1 = 13x - 11
Combine like terms
9x - 13x = -1 - 11
-4x = - 12
x = 3
Therefore, applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
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May I please have help. This is 7th-8th grade math.
30 POINTS
Answer:
See attached
Step-by-step explanation:
Refer to attachment
ΔA'B'C' is the image of ΔABC
Find the Area of the Trapezoid
Area:-
1/2(Sum of parallel sides) (Height)1/2(2+5)(3)1/2(21)10.5units°2Answer:
[tex]A=\boxed{10.5}\; \;\rm sq. \; un.[/tex]
Step-by-step explanation:
Area of a Trapezoid
[tex]\boxed{A=\dfrac{1}{2}(a+b)h}[/tex]
where:
a and b are the bases of the trapezoid (the parallel sides).h is the height of the trapezoid (perpendicular to the bases).From inspection of the given diagram:
a = SK = 2 unitsb = OC = 5 unitsh = OS = 3 unitsSubstitute the found values into the formula and solve for A:
[tex]\implies A=\dfrac{1}{2}(2+5)(3)[/tex]
[tex]\implies A=\dfrac{1}{2}(7)(3)[/tex]
[tex]\implies A=\dfrac{7}{2}(3)[/tex]
[tex]\implies A=\dfrac{21}{2}[/tex]
[tex]\implies A=10.5\; \;\rm sq. \; un.[/tex]
Helpp pls I need an answer
Answer:
It would be 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5x + 2 - 7x = -10
Combine the two x's:
-2x + 2 = -10
Subtract 2 from both sides:
-2x = -12
Divide both sides by -2:
x = 6
QUESTION NUMBER 1 I NEED HELP WITH
Answer:
330
Step-by-step explanation:
heart = 110, and the problem is asking the value of 3 hearts. 3 x 110 = 330
Answer:
d: 330
Step-by-step explanation:
spade = heart*2
spade-heart = 110
substitute spade into spade:
2*heart-heart = 110
heart = 110
So,
heart = 110
and,
spade = 2*heart = 2*110 = 220
so spade+heart = 220 + 110 = 330
also, please mark me as brainliest.
Which set of ordered pairs represents a function?
a
{(1, 8), (8, 1), (1, 5), (5, 1)}
b
{(2, 1), (3, 1) (4, 3), (5, 3)}
c
{(5, 1), (3, 8), (3, 7), (7, 3)}
d
{(5, 1), (5, 6), (1, 3), (9, 7)}
Answer:
b. {(2, 1), (3, 1) (4, 3), (5, 3)}
Which equation can you create with the given information? m = 6, b = -2
a
y=6x-2
y=6x+2
y=2x+6
y=-2x-6
Answer:
y = 6x - 2
Step-by-step explanation:
y = mx + b
y = 6x + (-2)
helppppppp pleaseeeeeee
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7.50 and each adult ticket sells for $11. The drama club must make no less than $990 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, ss, and the number of adult tickets sold, aa, that would satisfy the constraint.
Answer: ss*$7.50 + aa*$11 ≥ $990.
Step-by-step explanation:
We have two variables:
aa = # of adult tickets sold.
ss = # of student tickets sold.
The total profit is:
P = ss*$7.50 + aa*$11
And we want P ≥ $990.
Then we can write the inequality:
ss*$7.50 + aa*$11 ≥ $990.
Now, we have only one equation and two variables, so there are a lot of possible solutions for this system.
Please do your thing smart people.
HELP ME PLEASE
Answer:
C. Natural Numbers
Step-by-step explanation:
Before we determine what groups [tex]\sqrt{100}[/tex] fits into, we must simplify it. We get the number 10, which is much easier to categorize. Out of the four options, the natural numbers are the smallest group, containing only the numbers we use to count (i.e. 1, 2, 3, 4 ...). We know that 10 fits into this category because 10 is a non-zero whole number. Since the natural numbers contain 10 and are the smallest subset, the answer is C.
As a note: 10 will also fit into the whole numbers and rational numbers since all natural numbers are parts of these two groups as well. These groups contain more numbers, however, making them larger than the natural number set so we can eliminate them. 10 is also not an irrational number since we can accurately define it with a fraction.