Using our trig functions, we know that tan x = opposite side of a right triangle divided by the adjacent side of the right triangle.
So, tan x = p/r.
Answer: tan x°
The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
As per the given figure, the ratio of the p\r can be written as shown below,
In terms of angle x,
tan(x°) = p units / r units
tan(x°) = p/r
In terms of angle y,
tan(y°) = r / p
1 / tan(y°) = r/p
sec(y°) = r/p
Hence, the ratio of p and r can be written as tan(x°) and sec(y°).
Learn more about Trigonometric functions:
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PLEASE NEED HELP ASAP
Answer:
Trapezoid
Step-by-step explanation:
They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.
That means it's at least a trapezoid.
As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).
It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.
As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).
Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).
4 markers cost $7.04.
Which equation would help determine the cost of 7 markers?
Answer:
(7.04 / 4 = x) then x * 7
Step-by-step explanation:
x= 12.32
Plsssssss help plsss plssss plsss
Answer:
7/24
Step-by-step explanation:
in order to get the fraction, you need to add all of the books read together; you should get 120.
Then add all of the books read in even classes(2nd grade and 4th grade) and you should get 35.
Then place 35 on top of 120 to form the fraction: 35/120.
Then simplify the fraction by finding the greatest common factor, which is 5, and divide 35 and 120 by 5 to get 7 and 24.
PLZZZZ HELP
A. 178.3
B. 196.5
C. 250.8
D. 292.5
E. 297. 1
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS
Answer:
5 games
Step-by-step explanation:
1.50x + 1.25 = 8.75
1.50x = 7.50
x = 5
6th Grade Math:
A 5-pound bag of cat food costs $11. What is the unit price of the cat food?
Answer:
The unit rate is 2.20. For a single pound of cat food it would cost $2.20
Which expression is equivalent to the following: 5(6f + 5)
Answer:
30f+25 I hope it is a right answers
I hope this answers is useful for you
Which of the following has the greatest magnitude?
70
|-781
1701
-70
18
Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?
Answer:
There are 91 cookies in the package of cookies
Step-by-step explanation:
The given parameter for the number of cookies are;
The number of cookies left when eating 3 at a time = 1 cookie
The number of cookies left when eating 5 at a time = 1 cookie
The number of cookies left when eating 7 cookies at a time = No cookie leftover
Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;
The number of cookies in the pack, n < 100
Therefore, we have;
3·a = n - 1
5·b = n - 1
7·c = n
∴ n - 1 is a multiples of 3 and 5 less than 100 which are;
15, 30, 45, 60, 75, and 90
Therefore, the possible values of 'n' are'
n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91
Multiples of 7 includes;
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98
Therefore, n = 91 which is the number that appear simultaneously in both search
The number of cookies in a package = 91 cookies
can u plzzzz help me brainliest
Pls fill in the blanks for brainliest. Cardiorespiratory Endurance is the ability of the ___ and the ___ to supply ___ to the body?
Answer:
heart,lungs,oxygen i know i took a test like that before
Help! 30 Points! Find x
Answer:
do math
Step-by-step explanation:
There are 6 animals in the pen some are quails and some are goats if there are 20 legs in all how many quails and how many goats are there?
Answer:
4 goats
Step-by-step explanation:
Let us represent
Number of quails = x
Number of goats = y
Quails have 2 legs
Goats have 4 legs
Hence:
There are 6 animals in the pen some are quails and some are goats
x + y = 6...... Equation 1
x = 6 - y
if there are 20 legs in all how many quails
2x + 4y = 20..... Equation 2
We substitute 6 - y for x in Equation 2
2(6 - y) + 4y = 20
12 - 2y + 4y = 20
Collect like terms
- 2y + 4y = 20 - 12
2y = 8
y = 8/2
y = 4 goats
The number of goats there are 4 goats
What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2
Answer:
2x² - 5xy - 2y²
Step-by-step explanation:
Subtract x² + xy + y² from 3x² - 4xy - y² to obtain the expression to be added
3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1
=3x² - 4xy - y² - x² - xy - y² ← collect like terms
= 2x² - 5xy - 2y²
Thus
adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²
Which pair of terms are NOT like terms?
A) 2mn and mn^2
B) 3p^2q and -p^2q
C) -x and 3x
D) 1 and -1
Answer:
A) 2mn and mn^2
that's my final answer
Do you guys know the answers to these?
Answer:
The first one is 0 slope.
The second one undefined slope.
Step-by-step explanation:
I hope it helps you!!!:-)
It had the same slope as y = 3 and passes through (1,5).
Answer:
y=5
Step-by-step explanation:
It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.
PLS HELP ASAP! HURRY, GIVING BRAINLY!
CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3x^2-3x+8-9/x+1
Step-by-step explanation:
help me plzzzzzzzzzzzz
algibric equations that equal 13
What is the value of the expression below?
(16^2)^1/4
A. 4
B. 8
C. 16
D. 2.
4444444444444444444 4444444
Answer:
4
Step-by-step explanation:
A P E X:L E A R N I N G
Find the missing angle.
Answer:
126 Degrees
Step-by-step explanation:
180-54=126
Answer:
126 hope it may help u btw thnx for points
Step-by-step explanation:
x +54 =180 bcz of linear pair
then 180-54=126
Which point represents the unit rate?
A
B
C
D
Answer:
d
Step-by-step explanation:
How many days in 33 weeks?
Plss hellpppp....
Answer:
There are 231 ;)
Step-by-step explanation:
Answer:
231:)
Step-by-step explanation:
Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answer:
the answer is 150
Step-by-step explanation:
Water and oil are mixed in the ratio 3:5. Find the density of the mixture if the density of water is 1g/cm ^3 and that of oil is 0.8g/cm^3
Answer:
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
Step-by-step explanation:
Density of mixture = density of water in the mixture + density of oil in the mixture
Given: water and oil were mixed in a ratio 3:5
density of water is 1.0 g/[tex]cm^{3}[/tex] and that of oil is 0.8 g/[tex]cm^{3}[/tex].
Then,
density of water in the mixture = 3 x 1.0 g/[tex]cm^{3}[/tex]
= 3.0 g/[tex]cm^{3}[/tex]
Density of the volume of water in the mixture is 3.0 g/[tex]cm^{3}[/tex].
density of oil in the mixture = 5 x 0.8 g/[tex]cm^{3}[/tex]
= 4.0 g/[tex]cm^{3}[/tex]
Density of oil in the mixture is 3.0 g/[tex]cm^{3}[/tex].
So that,
Density of mixture = 3.0 + 4.0
= 7.0
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
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M Email Natoli, Micha..
Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:
m<ABD = m<CBD. Therefore:
2(m<ABD) = m<ABC
Substitute:
2(2x + 12) = 44
Solve for x.
4x + 24 = 44 (distributive property)
4x + 24 - 24 = 44 - 24 (substraction property of equality)
4x = 20
4x/4 = 20/4 (division property of equality)
x = 5
Find the length of XY
Answer:
the length of xy =6ft
I hope this help
400 is 75% of what number?
Answer:
534
Step-by-step explanation: