What does p equal Help?
Answer:
your answer will be P=27
Step-by-step explanation:
hope it helps...
If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in
simplest radical form?
Answer:
[tex] \tan2\theta =-\dfrac{3\sqrt{13}}{2} [/tex]Step-by-step explanation:
To find:-
The value of [tex]\tan2\theta[/tex] .Answer:-
We are here given that the value of,
[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]
And we know that cosine is the ratio of base and hypotenuse. Therefore,
[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]
So we can also say that,
[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]
Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,
Pythagoras theorem:-
In a right angled triangle the sum of squares of perpendicular and base is equal to the square of hypotenuse.Mathematically,
[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]
where the symbols have their usual meaning.
On substituting the respective values, we have;
[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]
[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]
[tex]\longrightarrow p^2=13x^2 \\[/tex]
[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]
Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,
[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]
[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]
[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]
Now we may use a identity which is ,
[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]
On substituting the respective values, we have;
[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]
[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]
This is the required answer .
Help me please.... :)
Select the correct answer.
If a six-sided die is rolled 30 times, how many times can you expect to get a 6?
OA 3
OB.
5
OC. 6
OD 10
PL HELP WILL MARK BRAINLY 10 POINTS
Answer:
5 times
Step-by-step explanation:
1/6·30=5
so your answer is b)5
Can i have a brainliest please or 10 points?
HELP I WILL GIVE BRAINLEST!!!!!!!
Answer:
2^6 * 3^3
Step-by-step explanation:
1. 6^3 = (2^3) * (3^3)
2. 2^6 = (2^3)^2
3. ((2^3) * (3^3) * (2^3)^2) / 2^3
4. (3^3) * (2^3)^3 / 2^3
5. (3^3) * (2^3)^2 = (3^3) * (2^6)
How much time will it take for a bug to travel 75 meters across the floor if it is traveling at 5 m/s?
Need answer asap, correct answer will get brainliest.
Answer: D
Step-by-step explanation: To reflect each point across the y-axis you take the opposite of the x-coordinate
The list of accounts of Guardian Company contained the following information:
Accounts Amount $
Sales 750,000
Sales Returns and Allowances 20,000
Rent Expense 5,000
Purchases 600,000
Sales Discounts 7,000
Purchase Returns and Allowances 25,000
Cost of Goods Sold ?
Interest Revenue 15,000
Sales commission 15,000
Purchase Discounts 11,000
Interest Expense 10,000
Freight-out 2,000
Store Salaries Expense 50,000
Freight-in 19,000
Utilities Expense 28,000
Depreciation Expense 7,000
Dividend revenue 5,000
Beginning inventory 45,000
Rent Revenue 10,000
Ending inventory 55,000
Lawsuit defrayal expense 8000
Accumulated depreciation 15000
Instruction:
Use the above information to prepare a multiple-step income statement for the year ended
December 31, 2019. (Show the calculation of COGS)
Answer:
sorry I don't know the answer ,but I want to ask u something ,r u a accounting student if yes please comment.i am also a accounting student but on learning stage so I don't know the answer,
2. The numbers from 101 to 150 are written as, 101102103104105.146147148149150.
What will be the remainder when this total number is divided by 3?
Answer:
We know that a number is divisible by 3 if the sum of its digits is a multiple of 3.
if the sum is a multiple of 3 + 1 (like 3*n + 1) the remainder is 1
if the sum is a multiple of 3 + 2 (like 3*n + 2) the remainder is 2.
Then we need to find the sum of all the single digits in the number:
101102103104...149150
the sum of all the single digits is:
( 1 + 1) + (1 + 2) + (1 + 3) + ... + (1 + 4 + 9) + ( 1 + 5)
The method i used is:
(from 101 to 110)
first we sum the hundreds digit 10 times, and then we add the unit digits for each case, this is:
1*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1) = 10 + 46
From (111 to 119)
first we add the sum of the hundreds and tens digits 10 times, and then the units:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 )
now if we also add the number 120 (so we have the range 111 to 120)
the sum becomes:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 ) + 1 + 2
2*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1 ) = 20 + 46
You already can see the pattern here.
in the range from (121 to 130) we will have the sum equal to 30 + 46
in the range from (131 to 140) we will have the sum equal to 40 + 46
in the range from (141 to 150) we will have the sum equal to 50 + 46
Then the total sum is:
(10 + 20 + 30 + 40 + 50) + 5*46 = 380
We know that 380 is multiple of 3 (because 3 + 8+ 0 = 12)
Then the remainder is 0.
An equation is shown, where 0 < x < 90 and 0
cos (x) = sin(yº)
Create an expression for x in terms of y.
The expression of x in terms of y for the case when cos(xº) = sin(yº) is x° = cos^(-1)sin(y°)
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
For this case, we have to express x in terms of y for [tex]\cos(x^\circ) = \sin(y^\circ)[/tex]
Since 0 < x < 90, and 0 < x < 90 so taking inverse cosine gives:
[tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]
Thus, the expression of x in terms of y for the case when cos(xº) = sin(yº) is [tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]
Learn more about inverse trigonometric functions here:
https://brainly.com/question/12551115
The distance around a circle is 69.08 feet. Determine the area of the circle.
Answer:
138.16
Step-by-step explanation:
Neva training for a race. She Bikes 5.5 times as far as she runs.26 mi neva
Answer:
You need to reword your question , sweetheart!
Step-by-step explanation:
PLZ HELP IM BEGGING
Find the volume of this prism
Answer:
345.6
Step-by-step explanation:
Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
Fraction : 3/9
Decimal : 0.33333333 (the .3 continues)
Percent : 33.33333%
Step-by-step explanation:
Dividing 3 by 9 will give you a continous set of 3.
Hi please help me with these questions asap.
Step-by-step explanation:
A. r=42/2=21
B.
[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]
C.
[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]
What's the value of x
a new desk cost (d) dollars. A bookshelf cost $114 less than the desk. A new lamp cost twice as much as the bookshelf
Answer: what are you looking for (d)? there isnt enough info
Step-by-step explanation:
Rasha and scott went to a bakery rasha bought 4 plain bagel and 2 chocolate donut for a total of 8.70 scott bought 3 chocolate donut for a total of 2.55 what is the cost of the plain bagel at the bakery
Answer:
$1.75
Step-by-step explanation:
2.55÷3=0.85
0.85x2=1.70
8.70-1.70=7
7÷4=1.75
hope this helps
Answer $1.75
Step-by-step explanation
A small business owner borrowed $4200 at an annual simple interest rate of 12% what is the total amount that must be paid in three months
Answer:
Step-by-step explanation:
The total of the interest is 1386 so in total it would be 5586
what is 129.392 rounded to nearest hundredth?
Answer:
130
Step-by-step explanation:
The numbers after the decimal point are not up to 1, so they cannot be added up to the integer.
Answer:
130 to the nearest 100th
Step-by-step explanation:
100 - 129.392 = 29.392
30 - 29.392 = 0.608
1 - 0.608
= 0.392
0.392 - 0.002
= our negative thousandth
our negative 100th is 0.39 in 129.39
What is closer to 100 is for the other side 120 or 130 in 129.38
The answer is 130
Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need
Answer:
128cm²
Step-by-step explanation:
To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides.
Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)
= 128cm²
Just c please
Thanks will give brainliest
pyramid A: 16 + [tex]8\sqrt{5[/tex]
pyramid B: 400 + [tex]8\sqrt{125[/tex]
pyramid A: 4 by 4= 16 cm.
with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh
square root of 5 multiplied by 4 and divided by 2 is 2 root 5
multiply this by 4 sides total for 8 root 5
Add the 8 root 5 to 16
To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125
Please help me in this
Answer:
top=170mm squared
shape 2=76.27 cm squared
shape 3=62.862 cm squared
Step-by-step explanation:
top shape...
(18x15)-4(5x5)=area
270-4(25)=area
270-100=area
170=area
shape 2...
diameter of circle is 6 so radius is 3...
area=pier^2
a=28.27 and their are two half circles so that makes one whole circle
(8x6)+28.27=76.27 cm squared
shape 3...
total of rectangle with a half circle subtracted. r=4 d=8
so
11x8=88 for rectangle then subtract half circle
a=pie r^2
a=50.27
50.27/2=25.135 subtract this from rectangle total...
88-25.135=62.862 cm squared
I know I just fill in -1 with x but I’m stuck with 2 different answers and this is an exam sooooo I don’t wanna risk it. Can someone please tell me the answer?
Answer:
g(-1) = 4
Step-by-step explanation:
Given:
g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]
To find g(-1), substitute x = -1
Thus:
g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]
g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]
= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]
= [tex] \frac{12}{3} [/tex]
g(-1) = 4
8) Do these ratios form a proportion?
20 pedestrians : 5 years
7 pedestrians : 1 year
Please provide explanation.
Answer:
Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.
Step-by-step explanation:
They will form a proportion if the division of the number of pedestrians by the number of years yields the same results.
20 pedestrians : 5 years
20/5 = 4 pedestrians per year.
7 pedestrians : 1 year
7/1 = 7 pedestrians per year.
Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.
please help me i really need help please i really really need help please
Answer:
56.6 yd
Step-by-step explanation:
in the picture above
pls mark as brainliest
Question 3 At 11:05 a.m. a man in a parachute is 8000 feet above the ground. At 11:08 a.m. the same man is 5400 feet above the ground. What is the average rate of change, in feet per minute, between 11:05 a.m. and 11:08 a.m.?
Answer:
2600 feet every 3 minutes.
Every minute, he goes down about 866 feet.
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 average rate of change in feet per minute is 866.67.
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,
At 11:05 a.m. a man in a parachute is 8000 feet above the ground.
At 11:08 a.m. the same man is 5400 feet above the ground.
The average rate of change in feet per minute.
= (5400 - 8000) / (11:08 - 11:05)
= -2600 / 3
This means,
3 minutes = - 2600
1 minute = -866.67
The negative sign indicates that the feet above the ground are decreasing as time increases.
Thus,
The average rate of change in feet per minute is 866.67.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Type the correct answer in the box.
Consider functions fand g.
f(1) = (1 + 1)
g(x) = 3 + 1
Evaluate the function composition.
(fog)(-64) =
Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
Note that the functions are assumed but same method can be employed when calculating composite functions
Using composite functions, it is found that:
[tex](f \circ g)(-64) = -8[/tex]The composite function of functions f(x) and g(x) is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Researching the problem on the internet, it is found that the functions are:
[tex]f(x) = (x + 1)^3[/tex]
[tex]g(x) = \sqrt[3]{x} + 1[/tex]
Then, the composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(\sqrt[3]{x} + 1) = (\sqrt[3]{x} + 1 + 1)^3 = (\sqrt[3]{x} + 2)^3[/tex]
At x = -64, we have that:
[tex](f \circ g)(-64) = (\sqrt[3]{-64} + 2)^3 = (-4 + 2)^3 = (-2)^3 = -8[/tex]
Hence:
[tex](f \circ g)(-64) = -8[/tex]To learn more about composite functions, you can take a look at https://brainly.com/question/17684028
Can someone help me solve for x please it’s urgent
Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.
Answer:
The system has two solutions, but only one is viable because the other results in negative side lengths.
Step-by-step explanation:
Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.