Answer:
= 4(1+sin2theta)²
Step-by-step explanation:
Given the equations
tantheta -cottheta =a... 1
costheta +sintheta =b .... 2
We are to find 4b^2(2-b^2)
Squaring both sides of equation 2
(costheta +sintheta)^2 = b^2
cos^2theta + 2costheta sintheta + sin^2 theta = b^2
(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2
1 + 2costheta sintheta = b^2
1 + sin2theta = b^2
substitute
4b^2(2-b^2)
= 4(1+sin2theta)(2-1+sin2theta)
4(1+sin2theta)(1+sin2theta)
= 4(1+sin2theta)²
Find the distance between the points L(7, -1) and MC – 2, 4).
Answer:
The distance between the points
d = LM = 10.24
Step-by-step explanation:
Step(i):-
Given that the points are L ( 7,-1) and M (-2,4)
The distance formula
LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]
LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]
LM = √106
LM = 10.29
The distance between the points
d = LM = 10.24
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
a cell phone and phone case cost 110$ in total. the cell phone costs 100$ more than the phone case. How much was the cell phone?
Answer:
$100
Step-by-step explanation:
We know that the total cost was $110 and that the phone is $100 more than the case. With this, we can figure out how much the case is, and use that information to find the price of the phone.
Case price = total price - 100
= 110 - 100
Case price = 10
Now that we know that the case price is $10, we can figure out the phone's price.
Phone price = total price - case price
= 110 - 10
= 100
The phone costs $100
Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
How many pencils, p, does Mieko have?
Answer:
meiko has 32 pencils
Step-by-step explanation:
8×4=32
Meiko has 32 pencils.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
Let Mieko has x pencils,
Establishing the equation,
Therefore, according to question,
x = 4 × 8
x = 32
Hence, Mieko has 32 pencils
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ5
Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?
Answer:
85.8
Step-by-step explains
4596.96-4200=396.96
4511.16--4200=
396.96-311.16=85.8
so 85.8 and b
A resort hotel offers two weekend specials.
Plan A : 3 nights with 6 meals for $264
Plan B :3 nights with 2 meals for $218
these rates, what is the cost of
one night's
lodging and what is the average cost per meal?
assume there's no discount for 6 years.) help
Answer:
$44 per 1 meal
Step-by-step explanation:
In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°. Find the length of q, to the nearest 10th of an inch.
Answer:
The length of QR to the nearest tenth of a foot is 287.28 feet.
Step-by-step explanation:
Let a right angled Triangle QRS have base SQ, perpendicular RS and Hypotenuse QR.
∠S = 90°
∠Q = 17°
Perpendicular = 84 ft
We know that for a right angle triangle
SinΘ = perpendicular/Hypotenuse
Sin ∠Q = 84/QR
QR = 84/sin(17°)
QR = 84/0.2924
QR = 287.2777
QR = 287.28 feet
The cosine rule is used to determine the length of side q. Then the length of side q is 5.34 inches.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°.
Then the length of q will be given by the cosine rule.
[tex]\rm q = \sqrt{r^2 + s^2 - 2rs \cos Q}\\\\q = \sqrt{5.1^2 + 2.4^2 - 2 \times 5.1 \times 2.4 \cos 26^o}\\\\q = \sqrt{26.01 + 5.76 - 24.48 \times 0.89879}\\\\q = \sqrt{50.49 - 22}\\\\q = \sqrt{28.49}\\\\q = 5.34 \ inches[/tex]
The length of the q is 5.34 inches.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
I need help with this
look at picture
Complementary angles
Step-by-step explanation:
80° - x + 80° = 90° { being complementary angles }
160° - x = 90°
x = 180° - 90°
x = 70°
The denominator of a fraction is two more than twice the numerator. If both numerator and denominator are decreased by three, the simplified result is 13
. Find the original fraction. (Do NOT simplify.)
Answer:
26/2
Step-by-step explanation:
1.
Here is a diagram that Jada drew about the weight of her puppy.
Access
connect
Not recor
9
9
9
9
9
20%
a.
The adult weight of the puppy will be 45 pounds. How can you see that
in the diagram?
b.
What fraction of its adult weight is the puppy now? How can you see
that in the diagram?
2. Jada's friend has a dog that weighs 90 pounds. Here is a diagram Jada
drew that represents the weight of her friend's dog and the weight of her
so
Answer:
Step-by-step explanation:
a). Since, 20% of the total diagram is represented by one fifth part of the total length.
Therefore, by adding all parts we will get 100% weight of the adult puppy.
20% of the part = 9 pounds
So the total weight of the adult puppy = 9 + 9 + 9 + 9 + 9
= 45 pounds
b). Weight of the puppy = 9 pounds
Weight of a adult = 45 pounds
Therefore, fraction that represents the weight of the puppy as compared to the weight of an adult = [tex]\frac{9}{45}[/tex]
= [tex]\frac{1}{5}[/tex]
Answer:
Question 1 Answer: The adult weight will be 45 pounds.
Question 2 Answer: The puppy is ⅕ of its adult weight.
Step-by-step explanation:
Q1- Why is the answer: because there are 5 9's and 5 ⋅ 9 = 45.
Q2-why is the answer : because the whole is divided into 5 pieces of equal length.
Hope this helps!
A Town plana to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the park be?
A. 13,800ft^2
B.27,600ft^2
C.6,900ft^2
D.6,612.5^2
Answer:
C. 6,900 ft^2
Step-by-step explanation:
Given the following data;
Base of triangle = 120 feet.
Height = 115 feet.
To find the area of triangle;
Area of triangle = ½*base*height
Area of triangle = ½*120*115
Area of triangle = 60*115
Area of triangle = 6900ft²
Therefore, the area of the park is 6900 square feet.
A certain plane flies at a speed of 600 miles
per hour. If it requires 4 hours at this rate of
speed to make the trip from Kiska to Tokyo,
what is the distance?
Answer:
2,400 miles
Step-by-step explanation:
Distance = Speed x Time
Distance = 600 miles / hour x 4 hours
Distance = 2,400 miles
If you are looking for speed, use distance over time and if time, distance divided by speed.
What is the surface area of this right rectangular prism?
help HELP HELPPPPPPP PLSSSSSSSSSS
Answer:
there are 6 more girls than boys
Step-by-step explanation:
i hope this is right good luck!:)
Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $120 and $24, respectively. The organizers would call this event a success if the total contributions exceed $5,200. What is the probability that this fund-raising event is a success?
Answer:
3.51% probability that this fund-raising event is a success
Step-by-step explanation:
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Solve for x.
1.8x = 64
I need this by 9p.m tonight having a bit problem solving it can anyone help pls
Answer:
35.56 (rounded to nearest hundredth)
Step-by-step explanation:
1.8x = 64
x= 64/1.8
x = 35.56
Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last
Answer:
0.0625 Days
Step-by-step explanation:
For 1 day Erin uses 1 3/8
1 day consumption is 11/8
11/2 bags of oranges would take
11/2 divided by 11/8
Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.
Answer:
[tex]y =\frac{1}{2}x -4[/tex]
Step-by-step explanation:
m = (1/2) ; (2 , -3)
y -y1 = m(x - x1)
[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]
What is the common denominator of 3/4 and5/8
Answer:
the common demonator is 8.
Step-by-step explanation:
Can someone help me with this geometry question????
3.865in^2
It's (the area of the square minus the area of the circle) divided by 2.
So, Area of the square is 6x6=36
Area of the circle is (pi)*(radius=3)^2=28.27
36-28.27=7.73
7.73/2=3.865in^2
Why are there so many songs about rainbows
And what's on the other side?
Rainbows are visions, but only illusions
And rainbows have nothing to hide
So we've been told, and some choose to believe it
I know they're wrong, wait and see
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
Who said that every wish would be heard and answered
When wished on the morning star?
Somebody thought of that, and someone believed it
Look what it's done so far
What's so amazing that keeps us stargazing
And what do we think we might see?
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
All of us under its spell
We know that it's probably magic
Have you been half asleep, and have you heard voices?
I've heard them calling my name
Is this the sweet sound that calls the young sailors?
The voice might be one and the same
I've heard it too many times to ignore it
It's something that I'm supposed to be
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
La-da-da, de-da-da-do
La-da-da-da-da-de-da-do
Answer:
You can’t see a rainbow from the other side. There is no other side. A rainbow happens when light is reflected from water droplets. If you get to the other side of the rain and look back, you can’t see the reflection. It would be like going behind a movie projection screen. You can’t see anything from the back side.
Step-by-step explanation:
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer
Answer:
I dont see the question
Step-by-step explanation:
soryy
Find the slope of a line that contains (-4, 7) and (-9, -2)
Jake paid $13.50 for admission to the county fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost, x, of one ticket? Write an equation to represent the cost of a ticket, x.
Answer:
The cost of one ticket would be $2.5, the equation I believe is 9x + 13.50 = 36.
Step-by-step explanation:
I hope this helps.
A carpenter charges $630 for 14 hours of work. She charges the same
amount of money for each hour of work.
Which table shows the relationship between the amount of time the
carpenter works and the amount of money she charges?
the graph would go up 45$ per hour of work if she is charging a per hour rate
Step-by-step explanation:
becouse she charges 630$ per 14 hours you would do 630÷14 which =45$
the 45 represents the hourly rate
the graph should spike every hour mark.
solve 5(x-1)^1/3 = 20
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
[tex]5\, \sqrt[3]{x-1} = 20[/tex]
Then, we divide both sides by 5 to isolate the root:
[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:
[tex]x-1=4^3\\x-1=64[/tex]
now we add 1 to both sides to isolate x:
x = 65
On a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74%
of the total bill. To the nearest cent, what was the total amount of the utility bill?
The total amount of the utility bill is $
Answer:
74%->91.22
100%-> 123.27(estimated)
The total amount of the utility bill will be $123.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.
The total amount will be calculated as below:-
74% ⇒ $91.22
1% ⇒ 91.22 / 74
100% ⇒ ( 91.22 x 100 ) / 74
100% ⇒ $123.27
Therefore, the total amount of the utility bill will be $123.2.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
trying to help my kid
Answer:
2/(3a^(1/3))
Step-by-step explanation:
The derivative of g(x) = 2/(3x^(1/3))
you get this by bringing the exponent of g(x) down and the new exponent is (2/3) - 1 .
Then replace x with a
Can someone help me ASAP
Answer:
x= (-∞,∞)
Step-by-step explanation:
x could be any value and make this equation true
1/2, 7/12 ,2/3,3/4 what’s the next fraction ?
Answer:
Step-by-step explanation:
1/2 = 6/12
7/12= 7/12
2/3= 8/12
3/4= 9/12
5/6 = 10/12 the next fraction