Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that [tex]\sec(x) = \frac{1}{\cos(x)}[/tex]
Answer:
0 ≤ sin x < 1/2.
Step-by-step explanation:
sin π6 = 1/2
sin 5π/6 = 1/2
sin 0 and sin 180 = 0
The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value is greater or equal to zero.
So the inequality is 0 ≤ sin x < 1/2
Decide whether each equation is true or false.
1. 9 ⋅ 9 ⋅ 3 = 3 5
2. 7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
3. 1 7 ⋅ 1 7 ⋅ 1 7 = 3 7
4. 4 1 = 4 ⋅ 1
5. 6 + 6 + 6 = 6 3
Answer:
Step-by-step explanation:
Number 1 FALSE
9 * 9 * 3 = 81 * 3 = 243
Number 2 TRUE
7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
7 * 3 = 3 * 7
21 = 21
Number 3 FALSE
17 * 17 * 17 = 4913
Number 4 FALSE
4 * 1 = 4
Number 5 FALSE
6 + 6 + 6 = 18
You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and video games rent for $3. You end up spending $13
Be sure to answer EACH of the following parts below:
• Define your variables.
• Write a system of equations that describes the number of movies and video games rented.
• Solve the system. Show all of your steps.
.
How many of each item did you rent?
Answer:
Variables
Let m = number of movies rented
Let g = number of video games rented
Given:
cost of renting one movie = $2cost of renting one video game = $3total money spent = $13total rentals = 5System of equations
m + g = 5
2m + 3g = 13
Solution
Rewrite m + g = 5 to make m the subject:
⇒ m = 5 - g
Substitute this equation into 2m + 3g = 13 and solve for g:
⇒ 2(5 - g) + 3g = 13
⇒ 10 - 2g + 3g = 13
⇒ 10 + g = 13
⇒ g = 3
Substitute found value of g into m = 5 - g and solve for m:
⇒ m = 5 - 3
⇒ m = 2
Therefore, 2 movies and 3 video games were rented.
please someone help with this thank you !!
Answer:
i guess 36 ft in cubic feet
Step-by-step explanation:
8 x 4 1/2= 8 x 9/2
= 4 x 9
= 36
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{III}IIIstart text, I, I, I, end text, and \sin(\theta_1)=-\dfrac{\sqrt{3}}{2}sin(θ 1 )=− 2 3 sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, minus, start fraction, square root of, 3, end square root, divided by, 2, end fraction .
Please help! I’ll give Brainlyest. Thank you!
Answer:24cm is the perimeter
Answer:
24 cm :)
Step-by-step explanation:
Hexagon perimeter: l x 6
Now lets solve!!
4 x 6 = 24 :)
Have an amazing day!!
Please rate!!
Please help i need answers now!, I will give full points to whoever helps me and I’ll give Brainlyest too
Answer:
182
Step-by-step explanation:
We need to find 3/4 of 242. To do this, multiply 3/4 by 242:
[tex]\sf \implies \dfrac34 \times 242=\dfrac34 \times \dfrac{242}{1}=\dfrac{3 \times 242}{4 \times 1}=\dfrac{726}{4}=181.5[/tex]
181.5 rounded is 182.
Therefore, approximately 182 students went on the field trip.
What is -1/2+2/3 please answer i need
Answer:
1/6 i think
Step-by-step explanation:
The mass is divided by 2 and the volume is multiplied by 4 what happens to the density
Answer:
Density is mass over volume so if the mass is being divided the value is smaller and volume is being multipliedd so value is larger but since volume is the denominator and is getting larger you are going to end up with a smaller number since smaller number gets/ larger number gets = smaller value gets
Step-by-step explanation:
a motorboat travels a distance of one pier to another pier in 4 hrs and the way back in 5 hrs. What is the speed of the boat in still water if it travels 70 km with the current in 3.5 hrs?
let's recall that d = rt, namely distance = rate * time.
d = distance from one pier to another
c = speed of the current
b = speed of the boat
now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.
when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.
now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.
from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.
[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]
(a+3b)(2c+d+4e) simplify
Answer:
2ac + ad + 4ea + 6bc + 3bd + 12be (Simplified)
Can someone help me with this, I got 115 from 180-65 is this right?
Answer:
yes
Step-by-step explanation:
your answer is correct
Answer:
115
Step-by-step explanation:
If 65 is subtracted from 180the answer is 115
What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons
Answer:
18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
6.3 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!!
3^2 + b^2 = 7^2
9 + b^2 = 49
Now we subtract!!
49 - 9 = b^2
40 = b^2
Now we need to find the square root!!
[tex]\sqrt{40}[/tex] = 6.3
Have an amazing day!!
Please rate and mark brainliest!!!
if 9% of 84 students like pizza if 6% like hotdogs and 50% like nachos in 6% like candy how much percentage is left popcorn
Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .
[tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomials:
[tex]\rm 3x^2[/tex] and
[tex]x^2y+3xy^2+1[/tex]
For [tex]3x^2[/tex]
In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:
This is the polynomial of one variable with second order.
In polynomial, [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.
The maximum power of x is 3( x has a power of 2 and y has a power of 1)
This is the polynomial of two variables with third order.
Thus, [tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order.
Learn more about Polynomial here:
brainly.com/question/17822016
Answer:
The polynomial 3x2 is a monomial with a degree of 2
The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3
Step-by-step explanation:
in the scale drawing of a
park the scale is 1 cm: 10 m find the area of the actual Park
Answer:
please what is the dimension for the length and breadth
What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?
Answer:
Step-by-step explanation:
Pyramid height should be 14
Base area should be 14*14(196)
So, Base area is 196
1. Multiply the Base area by the height of the pyramid:
196*14=2744
2. Divide the number above by 3:
2744/3=914.7
Write the first six terms of the sequence.
with an explanation please! i have no idea how to solve this on my own
49, 36, 25, 16, 9, 4
============================================================
Explanation:
We always start with n = 1 when it comes to sequences and series problems.
Plug in n = 1 to get
[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]
The first term is 49, showing that the answer is choice C.
We can stop here, but I'll show how to do another one to help you get practice. Plug in n = 2.
[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]
I'll let you compute the other terms.
Answer:
49,36,25,16,9,4
Step-by-step explanation:
First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.
Foil out the equation:
a=(n-8)^2
a=(n-8)(n-8)
a=n^2-8n-8n+64
a=n^2-16n+64
Now find the values by substituting values n>=1:
49=1^2-16(1)+64
36=4-32+64
etc.
Hello people ~
Help me with the question attached above.
Thanks in advance!!
Step-by-step explanation:
radius = 10 cm
volume = v
height h cm
[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]
hope it's helpful thanks
Find the volume of the pyramid.
Round your answer to the nearest tenth if needed. Do not enter units.
Answer:
V = (25 * 18 * 20)/3 = 9000/3 = 3000 cm^3
Step-by-step explanation:
The formula for this question is fairly simple.
V = (l * w * h)/ 3
You multiply length, width and height- then you divide your answer by 3. This should equal the volume of your pyramid! (cm^3 means "centimeters cubed".....since your question says "Do not enter units" then there is no need for you to enter cm^3...)
The perimeter of a rectangle is 52 inches. The rectangle is 15 inches long. How wide
is the rectangle?
22 inches
37 inches
18.5 inches
11 inches
Answer:
11 inches
Step-by-step explanation:
The perimeter of a rectangle is 2*(base) + 2*(height), or P = 2B + 2H
P = 2B + 2H
P = 2B + 2H
52 inches = 2(15 in) + 2H
2H = 22 inches
B = 11 inches
Josh ran a two-lap race in 117.92 seconds. He ran the second lap in 59.13 seconds. How long did it take him to run the first lap?
Answer:
According to my calculation this is the answer.Hope the picture will help you...
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2100. What was the rate charged per hour by each mechanic if the sum of 2 rates was $190 per hour?
Answer: 115/hr & $75/hr
Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.
What if there were only 200 days in a year? How many people would need to be in a room before the probability that two people shared a birthday exceeded 50%?
According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
ProbabilityTo determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:
200 days / 200 people = 200 / 200 = 1300 / 200 = 1.5301 / 200 = 1,505Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
Learn more about probability in https://brainly.com/question/27272615
evaluate the expression you got in part d for b = 8? (b / 2-3)
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
The expression to be evaluated :
(b / 2-3)We can simpify the denominator(b / -1) ⇒ -bWe have the value of b, which is equal to 8.
Therefore, on substituting in our simplified expression :
⇒ -(8)⇒ -8one fifth of a number is subtracted from four fifth of the same number if result is 9 what is the number
Answer:
the number is 15
Step-by-step explanation:
I don't understand this
Answer:
Step-by-step explanation:
Express the trig ratios as fractions in simplest terms.
Answer:
See below
Step-by-step explanation:
[tex]\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}[/tex]
Hence, both ratios are equal to each other
Find the area of the triangle (Help ASAP)
Answer:
72 squared meters
Step-by-step explanation:
triangle area= 1/2 bh
16 x 9 = 144
144 x 1/2 = 72
Hope this helps
Answer:
A = 72m
The sides we would need to multiply are:
9m x 16m
The formula for finding the area of a triangle is:
L x W X 1/2
9m x 16m =
9m x 10m = 90
9m x 6m = 54
90m + 54m = 144m
144m / 2 = ?m
? = 72m
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
if the premium for same day shipping is 200%. what is the cost to ship 2200 lbs of goods from Dallas to Nashville using same day shipping? if the answer is d.$15,840 what is the appropriate formula to solve?
from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.
if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.
Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]