Answer:
C: pi/4<x<5pi/4
Step-by-step explanation:
I just did the test
The solution of the trigonometric inequality will be equal to π / 4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,
3 - tanx ≥ 4 - 2tanx
2tanx - tanx ≥ 4 - 3
tanx ≥ 1
tanx ≥ tan(π/4)
x ≥ (π/4)
Therefore, the solution of the trigonometric inequality will be equal to π / 4.
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expand this question
(a+3)(a+5)
Answer:
Work shown below!
Step-by-step explanation:
(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]
which ordered pair is a solution of the equation
What is the different between the expression (-2)3 and -23
Answer:
-23 is a set number (-2)3 is an equation
Step-by-step explanation:
The difference between (-2)3 and -23 are very simple. -23 is the product of another expression while (-2)3 can be simplified to -6 when multiplied.
If I get it right i will give brainlist
Answer:
a
Step-by-step explanation:
4x+9y= -108
4(0)=9y= -108
9y= -108
-108/9
y- intercept= -12
SOMEONE PLEASE HELP DUE IN 3 MINS
is this right?
Answer:
YES you are right
Step-by-step explanation:11 squared equals 121
Please HELP D: what are the Angels of A,B,C,D
BD bisects m m Find m
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
[tex]m\angle ABC = 77.2^\circ[/tex]
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
[tex]m\angle ABD=m\angle CBD[/tex]
Substituting the algebraic expressions for both angles:
[tex]2.5x + 8.6=3.5x - 3.4[/tex]
Subtracting 8.6 and 3.5x:
[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]
Operating:
[tex]-x = -12[/tex]
[tex]x = 12[/tex]
The two angles are:
[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]
[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]
[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]
Which equation is represented by the graph below?
Answer:
y=-1/2x+2
the y-intercept is at 2 and the slope is -1/2
meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction
Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?
Answer:
52 feet apart
Step-by-step explanation:
20 + 32 = 52
Answer:
52 feet
Step-by-step explanation:
20 + 32 = 52
HELP ME ASAP PLEASE?!?
Classify the following triangle as acute, obtuse, or right.
Answer:
obtuse
Step-by-step explanation:
hope it helps. :)
Write a justification for each step...
Which of the following are right triangle congruence theorems
Answer:
All of them
Step-by-step explanation:
What is the nth term rule of the linear sequence
6,13,20,27,34?
Answer:
62
Step-by-step explanation:
[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]
Answer:
[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]
Step-by-step explanation:
Exponents Properties
We need to recall the following properties of exponents:
[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]
[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]
We are given the expression:
[tex]2^m=n[/tex]
We need to express the following expression in terms of n.
[tex]8^m-4^{-m}[/tex]
It's necessary to modify the expression to use the given equivalence.
Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:
[tex](2^3)^m-(2^2)^{-m}[/tex]
Applying the property:
[tex](2^m)^3-(2^m)^{-2}[/tex]
Substituting the given expression:
[tex]n^3-n^{-2}[/tex]
Or, equivalently:
[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.
0.40
0.72
1.15
2.14
Answer: 1.15
Step-by-step explanation:
Answer:
1.15 is the answer
Step-by-step explanation:
(9,-8) and (9,6) and determine the equation of the line.
Answer:
The answer is undefined.
Step-by-step explanation:
The x will never change, no matter what the y is, so the answer will always be undefined.
Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation:
Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)
Answer:
yes
Step-by-step explanation:
i multiply the 16 to the ratio of meters to feet and got 52.4934
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?
Answer:
450 Km
Step-by-step explanation:
90 Km/hr x 5 hr = 450 Km
I hope this helped and good luck!
Answer: Distance= 450km
Step-by-step explanation:
90 times 5= 450
PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP
Answer:
x = 18
y = 54
Step-by-step explanation:
A straight line equals 180 degrees.
Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.
Because there is a right angle, we can subtract 90 -72 = 18.
18 + 2x = 3x
18 = x
A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
Solve the equation
5(4+t) = 5t + 20
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
HELPPP!!!
help me for a brainliest!
=5^6/5^4
=5^(6-4)
=5^2 ANSWER..
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
if you could help me with this i would be very thankful
Answer:
Δ QRS is an obtuse triangle ⇒ according to its angle
Δ QRS is an isosceles triangle ⇒ according to its sides
Step-by-step explanation:
In Δ QRS
∵ m∠Q = 8x - 17
∵ m∠R = 19x + 4
∵ m∠S = 5x + 1
→ The sum of the interior angles of a Δ is 180°
∴ m∠Q + m∠R + m∠S = 180°
→ Substitute their values in the equation above
∵ 8x - 17 + 19x + 4 + 5x + 1 = 180
→ Add the like terms
∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180
∴ 32x + (-12) = 180
∴ 32x - 12 = 180
→ Add 12 to both sides
∵ 32x - 12 + 12 = 180 + 12
∴ 32x = 192
→ Divide both sides by 32
∵ [tex]\frac{32x}{32}[/tex] = [tex]\frac{192}{32}[/tex]
∴ x = 6
→ Substitute the value of x in each measure of angles to find them
∵ m∠Q = 8(6) - 17 = 48 - 17
∴ m∠Q = 31°
∵ m∠R = 19(6) + 4 = 114 + 4
∴ m∠R = 118°
∵ m∠S = 5(6) + 1 = 30 + 1
∴ m∠S = 31°
∵ m∠R > 90°
∴ ∠R is an obtuse angle
∴ Δ QRS is an obtuse triangle
∵ m∠Q = m∠S
→ In any Δ if two angles are equal in measures, then the two sides
opposite to these angles are equal in length and the Δ is isosceles
∴ RQ = RS
∴ Δ QRS is an isosceles triangle
Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION
Answer:
100 sq m
Step-by-step explanation:
if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m
then the little piece on the left that is taken out is 2 x 2 = 4 sq m
the piece on the right is 6 x 12 = 72 sq m
so subtract them from the big rectangle
176 - 4 - 72 = 100 sq m
Answer:
100m^2
Step-by-step explanation:
To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.
Area= base•height
So for the purple shape:
6•2=12
Orange:
8•8=64
Green:
2•12=24
In total:
12+64+24=100
And since it's area it would be in square units which just means it'd look like this:
[tex] {100m}^{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
How can we get Equation B from Equation A?
3(x+2)=18
x+2=18
i need them solved aswell
Answer:
x = 4
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
(not my answer)
How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions
Answer:
C. Infinitely many solutions
Step-by-step explanation:
Answer:
INFINITE SOLUTIONS
Step-by-step :(examples)
any value of x makes the equation true
true for all= infinite solutions
one solution= x=30
no solution= 7=0