Answer:
a. 1/3pi+kpi and 2/3pi+kpi
Step-by-step explanation:
2Sec²x
=2+2tan²x-(tan²x)²=-1
Let tan²x=u
-u²+2u+2=-1
-u²+2u+3=0
u²-2u-3=0
(u+1)(u-3)=0
u=-1,u=3
(tan x)²=-1(No solution)
(tan x)²=3
>>tan x=±sqrt(3)
I) tan x=sqrt(3)
>>tan(pi/3)=sqrt 3
Tan(pi+A) =tanA
Tan(pi+pi/3)=tan(pi/3)
>>tan(4/3pi)=sqrt(3)
>>x=4/3pi and 1/3pi
General solution: 1/3pi+kpi
ii) tan x=-sqrt(3)
x=2/3pi(At 2nd quadrant)
x=5/3pi(at 4th quadrant)
General solution: 2/3pi+kpi
Which criterion can be used to prove abc and adc are congruent? triangles, abc and acd, are plotted on a grid that share a common side ac. angles cad and acb are marked congruent. angles cab and acd are marked congruent. a. sss b. aaa c. sas d. asa
The correct answer is option D which is ASA ( Angle - Side - Angle).
What is congruency?If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.
In triangles ABC and ADC,
Angles BCA and DAC are congruent (from the diagram);
Angles BAC and DCA are congruent (from the diagram);
AC is congruent AC (by reflexive property).
So, the triangles ABC and CDA are congruent with the ASA postulate.
ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Therefore the correct answer is option D which is ASA ( Angle - Side - Angle).
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387 kilograms = x grams
Answer:
a. 387,000g
b. 38,700g
c. 387g
d. 3.87g
Answer:
a
Step-by-step explanation:
I kilogram is 1000 grams
y = 5x, what is the domain of this function?
Answer: The domain would be all real numbers.
Step-by-step explanation:
This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.
What type of polynomial is P(x)=x^3-1?
According to no. of terms it's binomial since it has two terms , according to the power it's cubic function since the power of X is 3
PLEASE GIVE BRAINLIEST
Could someone help me on this?
Which solid is a Platonic solid?
Please hurry!!!
Answer:
The five Platonic solids (regular polyhedra) are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. In other words the second one.
find the eslope of the line pasing throungh the points A(5,-9) and B (-5,7).
Step-by-step explanation:
(7+9)/(-5-5)= 16/-10= -8/5
y + 9 = -8/5(x - 5)
y + 9 = -8/5x + 8
y = -8/5x - 1
Help asap I need help really bad
Answer: it's answer A
Step-by-step explanation:
It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)
and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.
what is the area of aregular hexagon with side length of 10units square?
Answer:
h ≈ 259.81
Step-by-step explanation:
i used the hexagon calculator
Answer:
150 sqrt 3 = 259.8076 units^2
Step-by-step explanation:
Interior angles of hexagon = 120 degrees ....now look at the Right 1/2 of the hexagon... see illustration....this is a trapezoid...
One base is 10 units
the other labelled 'base' is
10 cos 60 + 10 cos 60 + 10 = 20 units
the height of this trapezoid is 10 sin 60 = 10 * sqrt(3)/2 = 5 sqrt(3)
the area of this trapezoid is then 1/2 ( 10+ 20) * 5 sqrt (3) = 75 sqrt 3
there are TWO of these trapezoids in the hexagon so total area is then
2 * 75 sqrt 3
150 sqrt 3
Triangle BDC is isosceles.
Circle A is shown. Line segments A B, A C, and A D are radii. Lines connect each of the points on the circle to the other points to form a triangle. Sides C B and B D are congruent.
Which angle is congruent to ?
As per the question, the answer is ∠CAB is congruent to ∠BAD.
The isosceles triangle :An isosceles triangle named BDC is positioned within a circle. The segments of the circle they pass through are congruent because the faces of the triangles BC and BD are congruent, or identical.
Due to the triangle's faces BC and BD being identical and congruent
BC=BD
Additionally, the segments of the circle it goes across are congruent.
In the case of ΔBAC & ΔBAD
AC=AD= the radius of the circle
AB=BA
Thus, BAC is consistent with BAD according to SSS guidelines.
As a result, the central angles of the sections are also congruent; hence, BAD and CAB are congruent.
As a result, ∠BAD is equivalent to ∠BAC OR ∠CAB.
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Answer:
B on edge
Step-by-step explanation:
CAD
Suppose f(x)=x^2 and g(x)=5x^2. Which steamy best compares the graph of g(x) with the graph of f(x)?
By understanding and applying the concepts of dilation and quadratic functions, the function g(x) is a vertically dilated version of f(x) by a factor of 5.
How to compare the graphs of two functions
In this questions we know two quadratic equations of the form y = a · x². f(x) is known as the canonical function as a = 1 and g(x) is the consequence of dilating f(x) vertically by a factor of 5. Now we proceed to present graphically between the two functions.
In a nutshell, the function g(x) is a vertically dilated version of f(x) by a factor of 5.
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Which inequality is equivalent to 3+4/x>_x+2/x
Answer:
the right answer is the first one
2x+2 over x >0
Use the graph of the exponential growth function
f(x) = a(2x) to determine which statement is true.
f(0) = 2 when a = One-half.
f(0) = 3 when a = 3.
f(1) = 9 when a = 9.
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
How to analyze an exponential function
Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:
x = 0
2 = a · 2⁰
a = 2
x = 0
3 = a · 2⁰
a = 3
x = 1
9 = a · 2
a = 9/2
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
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3n-5p+2n=10 solve for n
Answer:
n=3p
Isolate the variable by dividing each side by factors that don't contain the variable.
Base area = 18 ft²
Volume=
11 ft
7
Answer:
nhddhdbndbd
Step-by-step explanation:
jh h benrheoek
How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions
Answer:
one solution
(second option listed)
Step-by-step explanation:
We can that these two lines, each representing one equation/function, only meet at one specific value.
In a system of equations, we are essentially looking for a solution that works for both equations.
So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.
Because these lines only overlap at one point, this system of equations has one solution.
Answer:
1 solution (C)
Explanation:
They have one point of intersection.
Type the correct answer in the box
Answer:
[tex]log\boxed{7}[/tex]
Step-by-step explanation:
[tex]log\frac{14}{3}+log\frac{11}{5}-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{14}{3}*\frac{11}{5}\bigg)-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{14*11}{3*5}\bigg)-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{154}{15}\bigg)-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{154}{15}\div\frac{22}{15}\bigg)[/tex][tex]=log\bigg(\frac{154}{15}\times\frac{15}{22}\bigg)[/tex][tex]=log\bigg(\frac{154}{22}\bigg)[/tex][tex]=log\boxed{7}[/tex]One root of f (x) = x cubed 10 x squared minus 25 x minus 250 is x = –10. what are all the roots of the function? use the remainder theorem.
Answer:
x= -10 , x= -5 , x=5
Step-by-step explanation:
we are given function as
x^3+10x^2-25x-250
We are given one of zero is x=-10
we can find all possible factors of 250
so, we will check zeros at x=-5 and x=5
At x=-5:
we can plug x=-5
At x=5:
we can plug x=5
So, other zeros are
x=-5 and x=5
All zeros are
x=-10 , x=-5 , x=5
I need help with Algebra every single time
Please help
Answer:
perimeter = 12 z + 3
Explanation:
The perimeter of a shape is the sum of all the sides.
Therefore, we add all the sides' lengths together:
perimeter = (4z - 2)+(3z + 3)+(z + 5)+(4z- 3)
= 12 z + 3
A tree height when planted was 5ft. 8inches. It has grown 14ft. 10 inches how much did it grown
Answer:
Subtraction will happen in this case.
14ft-5ft= 9ft
10 inches-8 inches= 2 inches
So, it grew 9ft. and 2 inches.
what value of x makes this equation true , use numerals instead of words.
-2x+3=-15
Answer:
x = 9
Step-by-step explanation:
-2x + 3 = -15
-2x = -18
x = 9
Answer:
9Step-by-step explanation:
what value of x makes this equation true , use numerals instead of words.
-2x+3=-15
-2x + 3 = -15
-2x = -15 - 3
-2x = -18
x = -18 : (-2)
x = 9
--------------------
check
-2 * 9 + 3 = -15
-18 + 3 = -15
-15 = -15
the answer is good
0123456 7 8 9 10 what is this called.........ence.fill in the missing space.
Answer:
sequence
Step-by-step explanation:
a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]
hope this helps!!
Answer: this, a set of number in an order, is called a sequence
fill in the blank: sequence
A segment that intersects a circle in two points is called a ________________.
Given: NQ is the bisector of ZMNP and ZNMQ
ZNPQ
Prove: Δ MNQ =ΔΡΝΟ
M
N
Q
P
1) [tex]\overline{NQ}[/tex] is the bisector of [tex]\angle MNP[/tex] and [tex]\angle NMQ \cong \angle NPQ[/tex] (given)
2) [tex]\angle MNQ \cong \angle QNP[/tex] (a bisector splits an angle into two congruent angles)
3) [tex]\overline{NQ} \cong \overline{NQ}[/tex] (reflexive property)
4) [tex]\triangle MNQ \cong \triangle PNQ[/tex] (AAS)
Janelle is painting a spherical model of a human cell for a science fair. She uses 615.44 square inches of paint to
evenly cover the outside of the cell with one coat of paint. What is the diameter of the cell model? (Use 3.14 for the
value of n.)
7 in.
8 in.
14in
16in
The diameter of the cell model according to the taks content is; 14in.
Diameter of the cell modelVolume of paint = 615.44 square inches
π = 3.14
Volume of a sphere = 4πr²
615.44 = 4 × 3.14 × r²
615.44 = 12.56/r²
r² = 615.44 ÷ 12.56
r² = 49
r = 7
Hence, the diameter of the cell is; 2 × r = 2 × 7 = 14in.
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The average of 7, 20, and X is 20. what is the value of X?
Answer:
33
Step-by-step explanation:
do it in reverse
there are 3 numbers
average is 20
that means total is 20 times 3 which is
60
7+20+x=60
27+x=60
x=60-27=
33
Answer:
x = 33
Step-by-step explanation:
we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present
for example,
the average of 2 and 20
2 + 20 = 22
(there are two numbers, so we divide by 2)
22 / 2 = 11
so, this example has an average of 11
we can apply the same logic to a variable:
we know that
[tex]\frac{20+7+x}{3}[/tex] = 20
We can now solve for x:
[tex]\frac{20+7+x}{3}[/tex] = 20
· 3 ·3 {multiply both sides by 3}
20 + 7 + x = 60 {combine like terms}
27 + x = 60 {subtract 27 from both sides to isolate x}
x = 33
{check answer:
7 + 20 + 33 = 60
60 / 3 = 20 (divided by 3 because we have 3 numbers) }
so, the value of x is 33
(x = 33)
hope this helps!!
which of the following sets of inequalities
Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality for the red portion is,
slope, m = (-2/-4) = 1/2
y-intercept is 2.
y ≤ (1/2)x + 2
The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2
y-intercept is -1.
y > 2x - 1
Hence, the correct options are 2 and 3.
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I need help with this please
2534+? but its not that clear cant understand it
The bar graph shows the number of customers at a nail salon each day for one week. What percent of the customers came on Friday or Saturday? Round your answer to the nearest hundredth of a percent. * I NEED ANSWER*
Answer:
Friday = 11.43%Saturday = 17.14%Friday & Saturday = 28.57%Step-by-step explanation:
Total number of customers
⇒ 15 + 5 + 10 + 14 + 8 + 12 + 6 = 70
Percentage of customers who came on Friday
[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Friday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8}{70} \times 100\\\\& = \sf 11.43\%\:\:(nearest\:hundredth)\end{aligned}[/tex]
Percentage of customers who came on Saturday
[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Saturday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{12}{70} \times 100\\\\& = \sf 17.14\%\:\:(nearest\:hundredth)\end{aligned}[/tex]
Percentage of customers who came on Friday and Saturday
[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Fri\:and\:Sat\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8+12}{70} \times 100\\\\& = \sf 28.57\%\:\:(nearest\:hundredth)\end{aligned}[/tex]
28.57 is the answer, and its rounded to the nearest hundredth
What term does the formula sin A/a = sin B/b represent?
Answer:
Law of sines
Explanation:
The law of sines states that the ratios of the sines of angles and their opposite sides are equal for all angles inside a triangle.
Step-by-step explanation:
hope you can understand