(k) 1 + tan 4A . tan 2A = sec 4A.
Please help me.... question from multiple angle of trigonometry!!!!!
Answers
it was a long proof...
follow the caption and steps and you'll understand it
proved...
Step-by-step explanation:
this is too easy method to solve this problem
Related Questions
What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.
Answers
Answer:
[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]x^4-5x^2-14=0[/tex]
Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:
[tex]u=x^2[/tex]
Then by substitution:
[tex]u^2-5x-14=0[/tex]
Now we can solve normally. Factor:
[tex](u-7)(u+2)=0[/tex]
Zero Product Property:
[tex]u=7\text{ or } u=-2[/tex]
Back-substitute:
[tex]x^2=7\text{ and } x^2=-2[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:
[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]
Therefore, our solutions are:
[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]
Dave loves a bargain and buys a feather boa which
has been reduced in price by 70%. If the sale price
is £2.85, what was the original price of the boa?
Answers
Answer:
£9.50
Step-by-step explanation:
if the price was reduced 70%, then Dave is paying 30% of the original.
0.3 of £ = 2.85
£ = 2.85 / 0.3
£ = 9.5
£9.50
Answer:
$4.84
Step-by-step explanation:
2.85*.70=1.99
2.85+1.99=4.84
PLEASE HELP I WILL GIVE BRAINLIEST!!!!! The box plots below show attendance at a local movie theater and high school basketball games: Two box plots are shown. The top one is labeled Movies. Minimum at 100, Q1 at 130, median at 165, Q3 at 185, maximum at 200. The bottom box plot is labeled Basketball games. Minimum at 135, Q1 at 225, median at 248, Q3 at 275, maximum at 300. Which of the following best describes how to measure the spread of the data? The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games. The IQR is the best measurement of spread for games and movies. The standard deviation is the best measurement of spread for games and movies.
Answers
Correct option is Option B: The standard deviation is a better measure of spread for movies than it is for basketball games.
Visual analysis for movies:
Movies data is more centric to mean and not skewed on a particular side.
Visual analysis for Basketball games:
Basketball games data is not centric to mean but is skewed or say more dense in right then left.
Property of standard deviation and its limitation:
Standard deviation just measures the deviation or spread with respect to mean of collected data. It is non- sensible for skewness of the data and thus more information is needed in such case.
Property of IQR and its limitation:
IQR is interquartile range. IQR generally is less powerful than standard deviation, but more powerful if the data is skewed and its variability has to be measured. It measures the range or say difference between [tex]Q_3 \: and \: Q_1[/tex]
In the movies data, the data is more collected and barely visible to be skewed. Thus standard deviation is best suited for this dataset.
In the basketball data, the standard deviation will fail to give good information about the data. The IQR, is better here since we've to measure variability or dispersion of data which is skewed.
Thus, option B: The standard deviation is a better measure of spread for movies than it is for basketball games; is correct option.
Learn more here:
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A reduced scale drawing of a rectangle measures 12 inches by 16 inches. The scale factor is 1/4. What is the size of the original rectangle? A. 3 in. * 4 in. B. 16 in. * 20 in. C. 36 in. * 48 in. D. 48 in. * 64 in. Please show ALL work! <3
Answers
Answer: D) 48 inches by 64 inches
=============================================
Explanation:
The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.
--------
note that
48*0.25 = 12
64*0.25 = 16
showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension
what is the right answerrrr??
Answers
Answer:
C. Two lines are perpendicular if they have opposite slopes
Step-by-step explanation:
Hey there!
Well 2 lines that are perpendicylar have reciprocal slopes for example,
2 and 1/2 are 2 slopes that are perpendicular.
Hope this helps :)
Clara has a lawn in front of her house as mapped on the coordinate plane. She wants to plant a bed of flowers between the points P and Q. Find the length of the bed of flowers. Question 2 options: A) 2 units B) 7 units C) 13 units D) 8 units
Answers
Answer:
Look Below In the Explanation
Step-by-step explanation:
Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).
Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.
I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.
4 - ( -4) = length of the bed of flowers
Hope that helps and maybe earns a brainliest!
Have a splendid day! :^)
The length of the bed of flowers will be 8 units.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Clara wants to plant a bed of flowers between the points P and Q.
And, The value of P = (4, 4)
And, The value of Q = (4, - 4)
Now,
Since, Clara wants to plant a bed of flowers between the points P and Q.
And, The value of P = (4, 4)
And, The value of Q = (4, - 4)
Hence, The length of the bed of flowers will be;
PQ = √ (- 4 - 4)² + (4 - 4)²
PQ = √64
PQ = 8 units
Thus, The length of the bed of flowers will be 8 units.
Learn more about the coordinate visit:
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Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)
Answers
Answer:
Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.
With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12
12
, so this must be true:
Ali ate 4/12
4
/
12
of the cake;
Jason ate 3/12
3
/
12
of the cake
Adding these two fractions will give us 7/12
7
/
12
— the total amount eaten. Now, to find the amount left, we need only subtract 7/12
7
/
12
from 12/12
12
/
12
(the total amount of the cake). Doing so will give us
Step-by-step explanation:
1/3 = 4.
1/3 < 1/2
3/3 = 2/2
4 x 3 = 12.
if there were still 4 crackers AFTER eating 1/3 on wednesday, you add 12 + 4 = 16
Use the clues in the sentences to determine the best meaning for each bolded word
"He was a tenacious worker, and by sticking firmly to his plan, he succeeded."
"Students planning to become scientists must select a science major, such as biology, chemistry, or physics."
"I want to take a class in calligraphy, or artistic writing, at the community center."
Done
Answers
Answer:
1. Determined
2. area of study
3. artistic writing
Step-by-step explanation:
Hope this helps! <3
Answer:
✔ determined
✔ area of study
✔ artistic writing
Explanation:
A recipe calls for 1/6 teaspoon of oregano and 1 1/4 teaspoon of pepper. What is the ratio of oregano to pepper
a. 1:12
b. 2:15
c. 1:3
d. 2:3
Answers
Answer:
b. 2:15
Step-by-step explanation:
oregano : pepper
1/6 1 1/4
Changing to an improper fraction
1/6 5/4
Multiplying by 12 to get rid of the fractions
12 * 1/6 12*5/4
2 15
1 1/4= 5/4
12•1/6=2
12•5/4= 15
ANSWER: 2:15
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?
Answers
Answer:
8 servings of rice
Step-by-step explanation:
the rice-to-spice ratio is 15:1 so 75 grams is 5 times more making it 75:5 each serving. 5 grams of spice is in each serving so divide 40 grams (which is the amount of spice he has) with the 5 grams of spice each serving. After you’ve done that, you’ll see you got 8 as your number, saying that it will take 8 servings of rice to finish the grams of spice.
Hope this helped!
Directions: Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1. Start: 3
End: 10
Answers
Answer:233.333%
Step-by-step explanation:
1. 10-3=7 subtract end by start
2.7/3=2.333 divide difference by absolute value of start
32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing
hoped this helped
-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm
Answers
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]
We can disregard the units temporarily to create a ratio for 4.5 to 4:
4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:
2 · (4.5 : 4) = 9 : 8
Express as a fraction:
[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]
If -1< y< 0, which of the following has the greatest value?
Answers
Answer:
[tex]\boxed{\sf B}[/tex]
Step-by-step explanation:
-1 < y < 0
The value of y is negative.
Let’s take the number -0.5.
(-0.5)² = 0.25
1 - (-0.5) = 1.5
1 + (-0.5) = 0.5
2(-0.5) = -1
The greatest value is 1.5.
The answer is 1 - y.
Help pls! Will give brainliest to first person who answers correct
Answers
Answer:
a) x greater than or equal to 10
b) x = 9
Step-by-step explanation:
a)
[tex]x + 5 \geqslant 15 \\ x \geqslant 15 - 5 \\ x \geqslant 10[/tex]
b)
[tex]2x < 18 \\ x = \frac{18}{2} \\ x = 9[/tex]
the standard form: four and sixty-eight hundredths
Answers
Answer:
4 17/25
Step-by-step explanation:
68
four and sixty-eight hundredths => 4 ------- or 4 34/50 or 4 17/25
100
Answer:
you would need to use decimals
Step-by-step explanation:
Clare has 150$ in her bank account. She buys a bike for 200$. What is Clares account balance now?
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The amount left in the bank account is -$50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount in the bank account = $150
Cost of the bike = $200
The amount left in the bank account.
= 150 - 200
= -$50
Thus,
The amount left in the bank account is -$50.
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What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?
Answers
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answers
Answer: 24
Step-by-step explanation:
Colleen painted 7 windows, some of which were her mother's.
Her dad painted 7+1 (8) windows, and that is twice as much as what her mother was supposed to do. Her mother was supposed to do 4 windows. That means Colleen's share was 3 windows.
If all the kids had to do an equal amount of windows, than each kid had to do 3 windows.
8+7+3+3+3=24
The total windows in the house are 21.
What is an algebraic expression?It is an expression contains a relation between different parameters (variables). It contains variable and constant values, along with algebraic operations.
In our given problem, the algebraic relation between different members work output and total windows can be expressed as:
Windows painted by colleen and her mother = 7
Windows painted by father = (Windows painted by colleen and her mother + 1)
= (7 + 1) = 8
∴ Windows painted by father = 8
Now, as given,
2 Windows painted by mother = Windows painted by father
∴ Windows painted by mother = [tex]\frac{8}{2}[/tex] = 4
and Windows painted by colleen = 7 - 4 = 3
Colleen and her 2 brothers paint equal windows;
∴ They painted 3 windows each.
The total windows in the house is equal to total painted windows by mother, father, colleen and her two brothers:
⇒ 4 + 8 + 3 x 3 = 12 + 9 = 21
Hence the total windows in the house are 21.
To learn more about algebraic expression, refer to the link:
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Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
$49,980
▹ Step-by-Step Explanation
[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
49,900
Step-by-step-explanation
go two across and place the decimal there, so 20% will be turned into 0.20 and multiply 0.20 by the 249,900. When you are done you will get the amount.
Hope this helped!
Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter
Answers
Answer:
15 cm
Step-by-step explanation:
The area of an equilateral triangle is:
[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.
We can find the value of a (the length) by:
[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]
[tex]a^2 = 25[/tex]
a = 5, so the side length of this triangle is 5 cm.
The perimeter of an equilateral triangle will be 3 times the length.
[tex]3\cdot5=15[/tex]
Hope this helped!
I am getting headache In this question!! Can you solve it please!!? Please answer. Will mark brainliest!!
Answers
Answer:
Step-by-step explanation:
Find the quotient:
9/10 / 1/3
=> Take the reciprocal
=> 9/10 X 3/1
=> 27/10 = 2.7
Jennie spent 2h studying for exams.....
2 / 2/3
=> Take the reciprocal
=> 2/1 X 3/2
=> 6/2 = 3 subjects.
Calculate:
5 1/2 / 3
=> 11/2 / 3
=> Take the reciprocal\
=> 11/2 X 1/3
=> 11/6
A farmer has 9 1/2 ha of land.......
=> 9 1/2 / 1 1/4
=> 19/2 / 5/4
=> Take the reciprocal
=> 19/2 X 4/5
=> 76/10
=> 7.6 crops.
I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.
I know the answer to the other 4 questions. They are correct.
A teacher has 1,425 marbles to divide equally among 9 groups of students to use in an experiment. What is the least number of marbles he could have left after the marbles are distributed?
Answers
Answer:
3
Step-by-step explanation:
Basically we need to find out whats the remainder of 1425 when you divide by 9.
1425/9 = 158 R3
R3 is 3 marbles left, so the answer is 3.
COME ON!! What’s the answer 53 points!
Answers
Answer:
X : -6, 3, 15, -12
Y : 11, 5, -3, 15
Step-by-step explanation:
Hey there!
To find the y values we need to plug the x values into th given equation,
y = -2/3x + 7
-6 ⇒ 11
15 ⇒ -3
Now we have a x value missing to that that we work backwards,
we plug in 15 for y in the given equation,
15 ⇒-12
Hope this helps :)
Step-by-step explanation:
[tex]y = - \frac{2}{3} x + 7[/tex]
Substituting the values of x into the expression we have
For x = - 6[tex]y = - \frac{2 }{3} ( - 6) + 7[/tex]
y = 11 For y = 5Make x the subject
[tex]5 = - \frac{2}{3} x + 7[/tex]
Multiply through by 3
15 = - 2x + 21
-2x = 15 - 21
- 2x = - 6
Divide both sides by - 2
x = 3For x = 15[tex]y = - \frac{2}{3} (15) + 7[/tex]
y = - 10 + 7
y = - 3For y = 15[tex]15 = - \frac{2}{3} x + 7[/tex]
Multiply through by 3
45 = - 2x + 21
- 2x = 45 - 21
- 2x = 24
Divide both sides by - 2
x = - 12Hope this helps you
Write as an inequality "The difference of a number squared and three is at least twelve"
Answers
Answer:
using the equilateral formula of solution
Answer:
[tex]x^2-3\geq 12[/tex]
Step-by-step explanation:
[tex]x^{2} -3[/tex] is the difference of a number squared and three
is at least 12, means that is greater but not less
[tex]x^2-3\geq 12[/tex]
hello can plzz help me with this question wil mark u brainlest and its for 18 points the file is down below thank u :)
Answers
Answer:
a rectangular prism
Step-by-step explanation:
consists of 6 faces which are rectangles
PLS HELP ME I NEED THIS FOR HOMEWORK!!!!
Answers
Answer:
36 degrees
Step-by-step explanation:
Because it's a right angle, AOB and BOC are complementary, meaning they add up to 90 degrees.
(3x+30)+(6x-12)=90
9x+18=90
9x=72
x=8
AOB = 6x-12, so substituting
8 in for x gives us 48-12=36
help
7. Given the figure, find the desired measurements
Answers
Answer:
m∠F = 66°
m∠D = 57°
Step-by-step explanation:
It looks like you have ...
∠D = ∠E = (4x +1)°
∠F = (5x -4)°
The sum of the angles in the triangle is 180°, so we have ...
2(4x +1) +(5x -4) = 180
13x -2 = 180
x = 182/13 = 14
Then the angle measures are ...
∠D = ∠E = (4(14) +1)° = 57°
∠F = (5(14) -4)° = 66°
__
m∠F = 66°
m∠D = 57°
Which property is shown by -6 + 0 = -6? A. Commutative Property of Addition B. Identity Property of Addition C. Distributive Property D. Associative Property of Addition
Answers
Answer:
C
Step-by-step explanation:
It is c because you are adding. the 6 and o.
Answer:
Would be C.
Step-by-step explanation:
Just adding the 6 and the 0 basically.
Look at the graph in the image. 1. What are the coordinates of point P? A. (4,3) B. (4,30) C. (4,90) D. (40,90) 2. What is the independent variable? A. Bike A B. Bike B C. Time D. Distance Please include work!
Answers
Answer:
1.C (4,90) 2.C.Time
Step-by-step explanation:
the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.
Simplify.
sin x cot x
Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.
(please help, no idea how to solve this problem)
Answers
Answer:
cos x
Step-by-step explanation:
sin x = (sin x) / (1) and cot x = (cos x) / (sin x)
Put those fractions next to each other and multiply them out (numerator times numerator, denominator times denominator).
Cancel out the (sin x) in the numerator and denominator
You should be left with just (cos x) / (1), whoch equals just (cos x).
Hope this helps!
My brother said that’s it
