Answer:
x=60°,120°
Step-by-step explanation:
4sinx=3cosecx
4sinx-3cosecx=0
4sinx-3/sinx=0
4sin²x-3=0
sin²x=3/4
sinx=√(3/4)
sinx=√3/2=sin60°,sin(180-60)
Answer:
sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe
write a quadratic function in the given form whose graph satisfies the given condition.
has a vertex of (5, -2) & passes through the point (3, 6) in vertex form
pls help...important...dont steal
Answer:
f(x) = 2(x-5)²-2
Step-by-step explanation:
The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.
Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2
Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:
y=a(x-5)²-2
6=a(3-5)²-2
6=a(-2)²-2
6=4a-2
8=4a
2=a
This means that the quadratic function is f(x) = 2(x-5)²-2
The cone has a volume of 72 cubic centimeters and a height of 6 centimeters.
What is the radius of the base of the cone, in centimeters?
Answer:
r≈3.39cm
Step-by-step explanation:
Using the formula
V=πr2h/3
r=3V
πh=3·72
π·6≈3.38514cm
can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.
I hope this helps :)
2. The dimensions of a rectangle can be given by x + 7 and x + 2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?
Answer:
(x+7)(x+2) = 66
x^2+9x+14=66
x^2 + 9x -52 = 0
(x+13)(x-4) = 0
x = 4 bc the other root, -13, can't be used (it would make the dimensions negative values)
17 is 12.5% of what number?
Answer:
Multiply 17 by 100 / 12.5 to get the answer
-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)
Plzz help will mark brainliest don't do it for the points plzz!!!!
Answer: y=2x
Step-by-step explanation:
Answer:
The second choice has the largest rate of change by 3
Step-by-step explanation:
you find the slopes of all of them.
# 1 has a slope of 2
# 2. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{12 - 6}{3 - 1}[/tex] = [tex]\frac{6}{2}[/tex] = 3
# 3. has a slope of -5
# 4. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{2.5 - 3}{1 - 0}[/tex] = [tex]\frac{-0.5}{1}[/tex]= -0.5
May someone pls help with this?
Answer:
p = 308
Step-by-step explanation:
Each hot chocolate at Cocoa Land costs $3.25. Chris has $36.99 to buy chocolate and to pay for a music album to listen to while he studies math. The music album costs $9.99. Which inequality can be used to determine how many hot chocolates, h, Chris can buy?
Answer:
Step-by-step explanation:
A plant measured x inches tall last week and 8 inches tall this week.
Select the expression that represents the number of inches the plant grew this week.
(a) x-8
(b) 8-x
Explain how you know.
Answer:
8-x
Step-by-step explanation:
just like you are 20m tall last month and then 30 m tall this week
you grew 10 m additional
The function shown the the graph is f(x) =
Options
x^4-2x^2+5x+6
x^3-2x^2-5x+6
x^3-2x^2+5x+6
-x^4-2x^2+5x+6
pls help asap,,
Answer:
B
Step-by-step explanation:
We will first look at the end behavior of the graph
Is it down then up which means that the degree is 3 and the coeficcent is positive
this leaves B or C
We then know that the x intercepts are (-2,0) (1,0) (3,0)
The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!
looking at the B we have
-2³-2*-2²-5(-2)+6
this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)
You can also factor it and find the zeroes that way, but it's just more work
What is the slope of the line with equation y-3-- _(x-2)?
5
4
P213)
3
2
1
(4.2)
-543
HL
1
2
3
4
5
x
2
-3
4
15
Answer:
B) -1/2
Step-by-step explanation:
(2, 3) and (4, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2-3)/(4-2)
m= (-1)/2
m= -1/2
The Slope of the given line is -1/2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We take two points from the graph as (2, 3) and (4, 2).
Now, the slope of line is
= (3-2)/ (4-2)
= -1 / 2
= -0.5
Using Slope intercept form
y= mx+ b
y= -0.5x+ b
and, b = 4
so, the Equation of line is y= -0.5x+ 4.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ7
PLZZZZZ HELP ME
Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen? 16/663 5/169 06/13 20/663
Answer:
I would say 16/663 but I still have a suspicion it may be 20/663
Step-by-step explanation:
Answer:
20/633
Step-by-step explanation:
The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.
Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.
Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663
Some students reported how many pairs of shoes they have. The dot plot shows the data collected: A dot plot is titled Students Pairs of Shoes and labeled Number of Pairs. The values on the horizontal line are 1, 2, 3, 4, and 5. There is 1 dot above 1, 3 dots above 2, 5 dots above 3, 3 dots above 4, and 1 dot above 5. What do the dots above the number 4 indicate? (3 points) a There are exactly 3 students with less than 4 pairs of shoes. b There are exactly 4 students with less than 3 pairs of shoes. c There are exactly 4 students with 3 pairs of shoes. d There are exactly 3 students with 4 pairs of shoes.
Answer:
There are exactly 3 students with 4 pairs of shoes.
Step-by-step explanation:
Given
[tex]Pairs \to Dots[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 3[/tex]
[tex]3 \to 5[/tex]
[tex]4 \to 3[/tex]
[tex]5 \to 1[/tex]
Required
What does the 3 on 4 represents?
First, we plot the dot plot.
See attachment for plot
The dots represent the number of student
So 3 dots on 4 means that:
[tex]Students \to 3[/tex]
[tex]Pairs \to 4[/tex]
This implies that there are 3 students have exactly 4 pairs
Answer:
D) There are exactly 3 students with 4 pairs of shoes.
Step-by-step explanation:
It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.
At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.
Hope I helped!!
Someone help me pls
Answer:
550 mins
Step-by-step explanation:
Answer:
Step-by-step explanation: can you zoom that picture in cant see it
The ratio of cars to trucks in a parking lot was 5:2. The ratio of trucks to bicycles in the parking lot was 1:4. If there were 20 cars in the lot, how many bicycles were in the lot
Answer:
16 bicycles
Step-by-step explanation:
Can someone please help me with this!?!?!
12 cans of Pepsi cost $5.99 Find the unit price of each can. Round your
answer to the nearest hundredth's place.
Answer:
0.50
Step-by-step explanation:
Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)
Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???
Answer:
There's supposed to be nothing in the 7 and 8 columns
Step-by-step explanation:
You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.
hope this helps:)
Please qwnser correctly! I will mark you Brainleist
Answer:
the answer is 484
Step-by-step explanation:
volume of the pyramid = (11×11×12) ÷3 =484
Answer:
the answer would be 385
Step-by-step explanation:
just listen to this because I did this last year.
11 by 11 is 121
11 by 12 is 132
you can multiply by two and get all 4 triangles done and the answer would be 385
A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse
The black line is the graph of y=x. Which of these equations could represent the blue line?
A. y=2x
B.y= -x
C. y = 1/2x
D. 0.001x
If a sweater is reduced in price from $40 to $26.80, what is the percent of decrease?
Answer:
Percentage decrease is 93‰
HELP ME W/ MY HW
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answer:
7238.23
Step-by-step explanation:
The population of a certain animal species decreases at a rate of 3% per year. You have counted 80 of the animals in the habitat you are studying. Write a function that models the change in the animal population.
A: f(x) = 80(3)^x
B: f(x) = 80(.03)^x
C: f(x) = 80(.97)^x
D: f(x) = 80(1.03)^x
Answer:
C. f(x) = 80(.97)^x
Step-by-step explanation:
If the population decreases by 3% each year, then it would be the same as multiplying it by 97% or 0.97 each year.
Matt is bringing 0.4 of a cake to school. What fraction of the cake is he bringing?
Answer:
2/5
Step-by-step explanation:
also=4/10
4/10
=2/5
Here, Matt is bringing 0.4 of cake.
For the denominator:
We are taking 1 for [.] decimal and take 0 for 4.
So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].
Help answer correctly or you'll get hack
Answer:
1 ) - 15
2 ) 21
3 ) 49
4 ) 39
5 ) 89
Step-by-step explanation:
1 )
( - 8 ) + ( - 7 )
= - 8 - 7
= - 15
2 )
( + 12 ) + ( + 9 )
= 12 + 9
= 21
3 )
( - 43 ) + ( - 6 )
= - 43 - 6
= - 49
4 )
( + 23 ) + ( + 16 )
= 23 + 16
= 39
5 )
( + 73 ) + ( + 16 )
= 73 + 16
= 89
which expression is equivalent to (x+2)(x+6)?
1.x^2+12x+32
2.2x^2+10x+12
3.2^2+12x+16
x^2+8x+12
270/9 3/4 +40*(15-5)
Step-by-step explanation:
[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]
1. What units cannot be used to measure weight?
A. ton
O B. inch
O C. pound
D. ounce
Answer:
B. Inches
Step-by-step explanation:
Because it measures the length of something, Not the weight.
Answer:
C
Step-by-step explanation:
weight in the USA is usually measured in LBS (pounds)