Answer:
[tex]\displaystyle \tan(\theta)=-\frac{\sqrt{17}}{8}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(\theta)=\frac{8}{9}[/tex]
Where θ is in QIV.
And we want to find the value of tan(θ).
Recall that cosine is the ratio of the adjacent side over the hypotenuse.
Therefore, the opposite side is:
[tex]o=\sqrt{9^2-8^2}=\sqrt{17}[/tex]
Next, in QIV, only cosine is positive: sine and tangent are both negative.
Tangent is the ratio of the opposite side to the adjacent. So:
[tex]\displaystyle \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute. Tangent is negative in QIV. Hence:
[tex]\displaystyle \tan(\theta)=-\frac{\sqrt{17}}{8}[/tex]
How do you write 3.37 as a percentage?
Answer:
Step-by-step explanation:
What is 3.37 as a percent?
To write 3.37 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
3.37 * 100 = 337%
And finally we have:
3.37 as a percent equals 337%
Answer:
337%
Step-by-step explanation:
3.37x100=337
Simplify the expression below. (2y+1)^2-4y^2+2
A. 4y+3
B. 2y+3
D. -1
Answer:
4 y + 3
Step-by-step explanation:
y = -3/4
d/dy((2 y + 1)^2 - 4 y^2 + 2) = 4
Indefinite integral:
integral(2 - 4 y^2 + (1 + 2 y)^2) dy = 2 y^2 + 3 y + constant
A bacteria population is doubling every hour. By what factor does the population change in 1/3 hour?
PLEASE I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!
Answer:
2/3(x+9)=22
Step-by-step explanation:
Answer:
1.12 2.12.gg
Step-by-step explanation:
1 and 2. ggg dude ytsr5e3uvrrhitghhbnnmkooyffrrcchutddb
Steps for solving 5(2x - 8) = 20 are shown. 5(2x-8)= 20 10x - 40 = 20 10x - 40+ 40 = 20 + 40 10x = 60 10x 60 10 10 x = 6 Original Equation Which of these is not part of the solution process?
Answer:
(d) Using the commutative property
Step-by-step explanation:
Given
The above steps
Required
Which is not part of the process
We have:
[tex]5(2x-8)= 20[/tex]
[tex]10x - 40 = 20[/tex]
[tex]10x - 40+ 40 = 20 + 40[/tex]
[tex]10x = 60[/tex]
[tex]\frac{10x}{10} = \frac{60}{10}[/tex]
[tex]x = 6[/tex]
Comparing the above steps with the given list of options, we can see that the commutative property is not applied at all.
Other properties are:
[tex]5(2x-8)= 20[/tex] ---- Distributive
[tex]10x - 40+ 40 = 20 + 40[/tex] ---- Like terms
[tex]\frac{10x}{10} = \frac{60}{10}[/tex] --- Isolating the variable
Dos hermanos se llevan 7 años de diferencia y la suma de los cuadrados de sus edades es 337. ¿Qué edad tiene cada uno?
Answer:
Primer hermano = x = 16 años
Segundo hermano = y = 9 años
Step-by-step explanation:
Representemos sus edades como:
Primer hermano = x
Segundo hermano = y
Dos hermanos tienen 7 años de diferencia
= x - y = 7
x = 7 + y
La suma de los cuadrados de sus edades es 337.
x² + y² = 337
Sustituyendo
(7 + y) ² + y² = 337
Cuadrado
(7 + y) (7 + y) + y² = 337
49 + 7y + 7y + y² + y² - 337 = 0
2y² + 14y - 288 = 0
Paso 1: Factoriza el lado izquierdo de la ecuación.
2 (y − 9) (y + 16) = 0
Paso 2: Iguala los factores a 0.
y - 9 = 0 o y + 16 = 0
y = 9 o y = −16
Por tanto, y = 9 años
x = 7 + y
x = 7 + 9
x = 16 años
Primer hermano = x = 16 años
Segundo hermano = y = 9 años
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
9^2 + 15^2 = x^2
81 + 225 = x
17.49 = x
Rounded to the nearest tenth:
x = 17.5
Which graph best represents the change in population of the two cities? Tell me which ones cuz I can’t label it!
Answer:
Which graph best represents the change in population of the two cities?
Year Townville Village City
1960 37,500 17,500
1970 42,500 25,000
1980 35,000 20,000
1990 30,000 30,000
2000 15,000 32,500
Step-by-step explanation:
A. is right
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? 3 2- 1- X = { m m + n ] (x2 – xa) + x3 3 6 7 8 9 10 11 x -9-8-7-6-5-4-3-2-11- -2 J (6-2) -4 -2 2 -6 -7 -8 K(8-9) 29 -10 -11 -12 -13
Answer:
Step-by-step explanation:
The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The two endpoints are (-6, -2) and (8, -9). And m: n = 2: 5. Then the value of the x-coordinate is calculated as,
x = (2 · 8 + 5 · -6) / (2 + 5)
x = (16 - 30) / (7)
x = - 14 / 7
x = - 2
The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.
More about the section of the line link is given below.
https://brainly.com/question/6582647
#SPJ7
Mark earns $550.00 per month. If he spends
$220.00 a month on gas, what percent of his
total monthly income does he spend on gas?
Answer:
40%
Step-by-step explanation:
Find the percent by dividing 220 by 550
220/550
= 0.4
So, he spends 40% of his monthly income on gas
Answer: 40%
Step-by-step explanation:
I would put an explanation but I am supposed to be in class!
Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based on theoretical probability
55%green25%yellow20%red
plz solve i really need this
A _____________ is a special rectangle because it has four congruent sides and four right angles.
Answer:
parallelogram is a special type of rectangle, a square. A square is one of the most basic geometric shape
2x-y=4
X and y intercept?
Answer:
x=2 y=-4
Step-by-step explanation:
2x-y=4 solve for x
2x-0=4
2x=4+0
2x=4 . divide both sides by 2
x=2
2x-y=4 . solve for y
0-y=4
-y=4 . divide both sides by -1
y=-4
How far from the base of a house should you place an 18 foot ladder if it is to reach a window that is 15 feet high?
Answer:
The correct answer is 9 feet.
Step-by-step explanation:
The points plotted below are on the graph of a polynomial. How many roots
of the polynomial lie between x = -4 and x = 3?
URGENT
Given:
The graph of a polynomial.
To find:
The number of roots of the polynomial lie between x = -4 and x = 3.
Solution:
From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.
The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.
The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.
Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.
what is the mean,median,mode ,and range of 24,12,10,15,10,22,12
Answer:
24, 12, 10, 15, 10, 22, 12
mean: 7
median: 12
mode: 12
Range: 14
Step-by-step explanation:
Answer: Mean=15, Median=12, Mode=10 and 12, Range=14
Step-by-step explanation:
Data:
Numbers: 10, 10, 12, 12, 15, 22, 24
Mean: x, Median: x, Mode: x, Range: x
Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers
10+10+12+12+15+22+24=105/7=15
Mean=15
Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.
Step Two, Find the Median(middle) by finding the number in the middle
10, 10, 12, 12, 15, 22, 24
Median=12
Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.
Step Three, Find the mode by finding the number that show up the most
10, 10, 12, 12, 15, 22, 24
Mode=10 and 12
Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.
Step Four, Find the range by subtracting the biggest number by the smallest
24-10=14
Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.
I hope this helps!
Write 7^5 in expanded form
Please I need an answer ASAP
Answer:
7 *7*7*7*7*7
* means times
Step-by-step explanation: Anything with a power is the base or big number times itself times the amount of the exponent little number
example 5^2
5*5
The distance on the map between Rocky Creek State Park and Hillcrest Elementary is 4.2 cm.
Approximately how far is Rocky Creek State Park from Hillcrest Elementary?
Answer:2
Step-by-step explanation: because
Answer: c. 420 m
Step-by-step explanation:
determine the constant in each algebraic expression
Find the measure of the missing angles.
g=
h=
k=
m=
YOU WILL GET MARKED BRAINLIEST :) IF YOU ANSWER QUICK (no files) .
Answer:
snsnnskskswwiwjwassnssjsjs
the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the number added?
Answer:
yn +y -xn
Step-by-step explanation:
Mean= sum of numbers ÷number of numbers
x= sum of n numbers ÷n
Multiply both sides by n:
xn= sum of n numbers
sum of n numbers= xn -----(1)
Let the number added be a.
After a has been added,
y= (sum of n numbers +a) ÷(n+1)
Multiply both sides by (n +1):
y(n +1)= sum of n numbers +a
sum of n numbers= y(n +1) -a -----(2)
Substitute (1) into (2):
xn= y(n +1) -a
Expand:
xn= yn +y -a
a= yn +y -xn
Let's check!
Let the numbers be 1, 2, 3 and 4.
mean, x= 10 ÷4= 2.5
n= 4
Let the new number added, a, be 7.
a= 7
mean, y= 17 ÷5= 3.4
a= yn +y -xn
a= 3.4(4) +3.4 -2.5(4)
a= 7
Thus, the expression is true.
Mr. Miller is putting a border around the edges of a rectangular ceiling. The perimiter of the ceiling is 18 meters. What are the two dimensions?
Answer:
Length & Breadth could be : 4 meters , 5 meters
Step-by-step explanation:
Border, ie perimeter measurement of Rectangle = 2 ( Length + Breadth )
So, 2 (Length + Breadth) = 18
Length + Breadth = 18 / 2
Length + Breadth = 9
So, sum of length & breadth must be = 9.
(L, B) = (2,5) ; (2,8) ; (2,9) and (3,5) ; (3,8) ; (3,9) don't satisfy this condition. (4,5) ; (4,8) also don't.
(L, B) = (4,5) satisfy it. As sum 4 + 5 = 9.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
A) 35/12
Step-by-step explanation:
The tangent of an angle is the opposite side of that angle over the adjacent side of the angle
answer please thanks
Answer:
-37/6
Step-by-step explanation:
Write in scientific notation:673,000
Answer:
6.73 x 10 ot the power of 5
Step-by-step explanation:
Which value of x makes x-3/4 + 2/3=17/12 true?
Answer:
x = 3/2
Step-by-step explanation:
x- 3/4 + 2/3 = 17/12
x = 17/12 + 3/4 -2/3
x = 3/2
Find the height of an isosceles triangle with two congruent sides of length
37cm and the base of length 24cm.
Answer:
119cm
Step-by-step explanation:
add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.
A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps
Answer:
320 cm² or 264 cm²
Step-by-step explanation:
first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²
the 2 square faces will be either 8 x 8 or 6 x 6.
If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²
If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²
HELPPP PLZ WHATS THE ANSWER PLZ DONT SEND A FILE PLZ. what is this question going across is going across the y or it going across the x ??? ONLY ANSWER IF YOU REALLY KNOW THE ANSWER. I NEED THE ANSWER FOR 5,and 6
number 3 going across the x axis
number 5 going across the y axis