Solve the equation on the interval [0,2pi)
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
Is this correct?-
Also please don’t just say “yes” or “no”-
Answer:
a) No
b) No
c) No
d) Yes
Thank y’all for help
Answer:
Ask a question so I can answer it -_-Step-by-step explanation:
Write the phrase as an expression. Then evaluate the expression when y = 12. the difference of a number y and 9 The expression is The value of the expression is
Answer:
12-9 i think
Step-by-step explanation:
Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?
i’ll award brainliest! no links
Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.
In the diagram to the right, a right circular cone has a diameter of 8 inches and a height of 12 inches.What is the volume of the cone to the nearest cubic inch? A. 201 in3 B. 481 in3 C. 603 in3 D. 804 in3
Answer:
(A) 201
Step by step explanation :
Volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.
So, option A. is correct.
Volume of coneA cone is a three-dimensional geometric object with a smooth trans-ition from a flat base to the ap-ex or vertex.
Radius of a cone is half of the diameter.
Radius of a cone [tex](r)=\frac{8}{2}[/tex]
[tex]=4[/tex] inches
Height of a cone [tex](h)=12[/tex] inches
Volume of a cone [tex]=\frac{1}{3}\pi r^2 h[/tex]
[tex]=\frac{1}{3}(\frac{22}{7} ) (4)^2 (12)[/tex]
[tex]\approx 201[/tex] inches
So, volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.
So, option A. is correct.
Find out more information about cone here:
https://brainly.com/question/2920315?referrer=searchResults
The sun shines on a 40ft tall building at an angle of depression of 62 degrees. How long is the shadow formed?
A. 21.2ft
B. 75.2ft
C. 45.3ft
D. 85.2
What is the difference between the circumference of a medium pizza and the circumference of a personal pizza? Round to the nearest hundredth.
Answer:
?
Step-by-step explanation:
can somebody plz help?e
Answer:
21.4
Step-by-step explanation:
We can solve for x using trigonometry
Here are the Trigonometric Ratios
Remember SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given the measure of ∠T ( 72° )
We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )
And we need to find the hypotenuse ( longest side length )
We this information we can use the trigonometric ratio Cosine to solve for x
That being said we want to set up an equation
(remember cosine = adjacent over hypotenuse )
[tex]cos(72)=\frac{6.6}{x}[/tex]
Now we solve for x
We can't get rid of the 6.6 itself so we want to multiply each side by x
now we have [tex]xcos(72)=6.6[/tex]
Step 2 divide each side by cos(72)
[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]
We're left with x = 21.35804865
Finally we want to round to the nearest tenth of a foot and we get that x = 21.4
witch fraction is equivalent to 4/20
Answer:
2/10
Step-by-step explanation:
smart 'v'
Answer:
2/10, 1/5, 8/40
Step-by-step explanation:
please mark as brainliest
ok so divide both by 4
and 2 and go on
if i made 80 dollars every weekend for a year, how much would i have
Answer: You would have 4160$
Step-by-step explanation: there is 52 weeks in a year so 52 times 80
Which function represents the exponential function f(x) = 34 after a vertical stretch by a factor of 8 and a reflection across the x-axis?
A. g(x) = 3^-8x
B. g(x) = -3^8x
C.g(x) = 8.3-*3^-x
D. g(x) = -8*3^x
Answer:
D
Step-by-step explanation:-8×3x represents a vertical strech by a factor of
8 and a reflection across the x-axis.
The answer is D.
A bacteria culture initially contains 2000 bacteria and doubles every half hour.
-Find the size of the bacterial population after 100 minutes.
-Find the size of the bacterial population after 10 hours.
Answer:
the size of the bacterial population after 100 minutes is 20,158.7 bacteria
the size of the bacterial population after 10 hours is 2097152000 bacteria
Step-by-step explanation:
Given that
The bacteria contains 2000
It would be double at every half hour
We need to find out the size of the bacteria after 100 minutes & 10 hours
So,
The size of the bacteria after 100 minutes is
= 2000 × 2^(100 ÷ 30)
= 2000 × 10.079
= 20,158.7 bacteria
Now the size of the bacteria after 10 hours is
10 hours = 10 × 60 minutes = 600 minutes
= 2000 × 2^(600 ÷ 30)
= 2097152000 bacteria
Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.
Answer:
She didn’t use the correct formula for area of a triangle.
Step-by-step explanation:
edg 2021 Sorry for the late answer.
I’ll give brainliest for whoever is correct
Answer:
Step-by-step explanation:
1.)12.
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.
Thus, the answer to 4 divided by 1/3 in fraction form is:
[tex]\frac{12}{1}[/tex]
To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
12
The answer is rounded to the nearest two decimal points if necessary.
[tex]\frac{12}{1}[/tex] is an improper fraction and should be written as 12.
2.) 9
Of the marbles in a bag, 5 are blue, 2 are white, and 2 are yellow. Sandra will randomly choose one marble from the bag.
Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given that,
A bag contains 5 blue, 2 white and 2 yellow marbles.
We need to find the probability of choosing a white marble from the bag.
Total no. of outcomes = 5+2+2
= 9
No. of white marbles = 2
Required probability,
[tex]P=\dfrac{2}{9}[/tex]
So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].
Could somebody do this for me
Answer:
Step-by-step explanation:
Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
Answer:
Correct
5x + 3 = 17
Step-by-step explanation:
So we need to find the book wieght only so take away the bag's weight from the total. 17-3=14. Now it says 5 books so divide 14 by 5 which is 2.8.
= 2.8 pounds
A map scale is 2 in : 15 mi. Two cities are 5.7 in. apart on the map. Find the actual distance between the two cities. Enter the number only.
Answer:
70!km is the right answer
Step-by-step explanation:
The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.
What is the slope of a line that passes through (1, -2) and (2, 4)?
Please help
The formula would be (y2-y1)/(x2-x1)
So, plugging it in, the equation would be (4+2)/(2-1)
Solving that, you get you a slope of 6.
Josephina is five years older than cameron... and the sum of their ages is 31
How old is Josephina??
Answer:
josephina is 20 years old
Step-by-step explanation:
please mark brainliest
Answer:
20años
Step-by-step explanation:
Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?
Answer:
175/2.5=70
Step-by-step explanation:
thanks to everyone whos helping
Answer:
closest to the whole number 1
Step-by-step explanation:
hope this helps :)
*** 7. Sam and Sue have only nickels and
dimes. Sue has 35€. Sam has the same number of
dimes as Sue has nickels, and he has half as many
nickels as Sue has dimes. How many nickels does
Sue have?
Answer:
there no photo so I cant answer without seeing it
The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P
Answer:
[tex]P' = (1,-2)[/tex]
Step-by-step explanation:
Given
[tex]P = (1.6)[/tex]
[tex]Q = (-6,1)[/tex]
Reflection over: [tex]y = 2[/tex]
Required
Determine the coordinates of P'
From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2
Since we are to reflect over y = 2, only the y coordinate of P will be affected.
The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]
So, what to do is:
First, calculate the difference between the y coordinates of P and the line of reflection.
The y coordinate of P is 6 and the line of reflection is at y = 2.
So, the difference is: 6 -2 = 4
Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'
y coordinate of P' = 2 - 4 = -2
Hence, the coordinate of P' is: (1,-2)
The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
D. 144 m^3
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
Find the measure of AC
Answer:
7 inch
Step-by-step explanation:
AC= BC+AB
= (BD-CD) + radius of B
= (radius of B-radius of D) + 4.5
=(4.5-2) +4.5
=2.5+ 4.5
=7 inch
I hope this is correct.
What is the integer closest to the square root of 17
Answer:
4
Step-by-step explanation:
[tex]\sqrt{16}[/tex] = 4
Answer:
4.
Step-by-step explanation:
The square root of 17 is 4.12...
square root of 16 is 4
I will give Brainiest For The Correct answer
Factor completely
a2 - a - 20
Worth 20 Points
(A−5)(A+4) I think that is the right answer
For every 4 of my wonderful nieces, I want to buy 5 Friendly cupcakes. And I have 12 wonderful nieces.
Answer:
15 cupcakes
Step-by-step explanation:
I'm guessing you mean that you want to find out how many cupcakes you'll need to buy.
