The figure below shows a right triangle:
What is r ÷ p equal to? (6 points)
Group of answer choices
A. sin y°
B. sin x°
C. tan y°
D. tan x°
Answers
Answer:
tan y°
Step-by-step explanation:
by using the Sine Rule (See attached), we can form the equation:
[tex]\frac{r}{sin (y)} = \frac{p}{sin (x)}[/tex]
rearranging this, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(x)}[/tex] ---------------------eq 1
Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°
i.e x + y = 90°
with a little rearranging, we get
x = (90° - y)
Substituting this into eq 1 above, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(90- y)}[/tex] ---------eq 2
recall that from the trigonometric co-function identities,
sin (90°- y) = cos y
substituting this into eq 2 gives :
[tex]\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)[/tex] (answer)
Related Questions
Resuelve
Ritmo de cambio. Cada uno de los siguientes datos es la pendiente de una recta que representa los ingresos diarios y en términos del tiempo X en días. Utilizar la pendiente para interpretar
la variación en los ingresos correspondiente a un incremento de
un día
a). m =800
b). m =250
c). m = 0
Answers
Answer:
800m
Step-by-step explanation:
porque incremento de un día
Last week, John ran 10 miles. If John runs 35 percent farther this week, then how many more miles did he run this week?
Answers
100% = 1.0
50% = .50
......
A price is decreased by 15% and is now £731
work out the original price
.
Answers
Answer:
840.65
Step-by-step explanation:
Solve for x. I don't know how to do this. Please help.
Answers
EXPLANATION:
5x+4+5x+11+x=180
11x+15=180
-15 -15
11x=165
— ——
11 11
x=15
PLZ HELP ME AND HURRRY
Answers
Answer:
for the third question y = 5, x = 3
Step-by-step explanation:
please help i will mark branliest
Answers
Joshua can make 6 plates
Answer: B
I say B because if you put 30 into 6 circles it makes 6 plates. It would not be C because B puts the balls before plates.
Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?
Answers
Answer:
28.39 ftStep-by-step explanation:
The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.
The angle opposite the ladder is 25°, slide has the length of x.
sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ftA bucket holds 2 1/2 gallons of water. Ryan fills it 3 1/4 times with the water from a barrel. How much water was in the barrel?
Answers
Answer:
8 1/8 gallons
Step-by-step explanation:
2 1/2 = 5/2
3 1/4 = 13/4
(5/2)(13/4) = 65/8 = 8 1/8 gallons
What is the relationship of the angles
Answers
Answer:
alternate interior
Step-by-step explanation:
Please help, will mark brainliest
Answers
Answer: 10
Step-by-step explanation:
Question A:
The formula to find the hypotenuse is c²=a²+b²
So you would insert the numbers into the formula which would be c²=8²+6²
8²=64
6²=36
36+64=100
So c²=100
Then you want to find c on its own so you have to square root 100.
The square root of 100 is 10.
You have to use this method for the rest of the triangles.
The hypotenuse of the triangles are solved
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
a)
a = 8
b = 6
Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²
c = √ ( 8 )² + ( 6 )²
c = √100 ≈ 10
b)
a = 11
b = 7
c = √170 ≈ 13.0
c)
a = 13
b = 6
c = √205 ≈ 14.3
Hence , the hypotenuse of the triangles are solved
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DO NOT SIMPLIFY YOUR ANSWERS
Sam owns a canoe rental company with 120 boats. He has 55 wood boats, and the rest are fiberglass. What is the ratio of...
fiberglass boats to wood boats?
total boats to fiberglass boats?
wood boats to other boats?
wood boats to total boats?
*answers are NOT TO BE SIMPLIFIED. YOU MUST use the colon key. . NO SPACES
Oulz saved
Answers
Answer:
Step-by-step explanation:
13/11,24/13,11/13,11/24
Answer:
65:55, 55:65, 55:120
Step-by-step explanation:
Fiberglass boats are = 65 because 120-55=65
Fiberglass to wood means that there is a 65:55 ratio because there are 65 fiberglass boats and 55 wood boats
wood to other, this is kind of a trick question, but its 55:65 because there are 65 other boats and 55 wooden boats
wood to total, this is 55:120 there are 55 wood boats and 120 total boats.
Can somebody plz help answer these questions correclty (like what each letter equals) thanks :3
WILL MARK BRAINLIEST WHOEVER CAN ANSWER THIS FIRST :DD
Answers
Answer:
X=12
y=34
z=45
m=33
n=27
z=27
Step-by-step explanation:
there u go
Answer:
23) x -3 = 9
x=9+3=12
24) y-11=23
y=23+11=34
25) z-8=37
z=37+8=45
26) m-16=17
m=17+16=33
27) n-9=18
n=18+9=27
28) z-14=13
z=13+14=27
what is the total surface area of a cylinder with a base of 11m and a height of 7m
Answers
Answer:
V = 1692.46 m3
Step-by-step explanation:
V = π· r2· h
V = π· 72· 11
V = 1692.46 m3
Answer:
Step-by-step explanation:
A=2*π*r*h+2*π*r^2 ( This is the formula for surface area of cylinder )
As given
base = 11m so we have to get the radius = 11/2 = 5.5m
height=7m
now putt in formula, we get
=2*π·*(5.5)*(7)+2*π*(5.5)^2
=431.96899m^2
2x^2+2x is it simplified
Answers
Answer:
Yes it is simplified
Step-by-step explanation:
2x^2 is not a like term to 2x because 2x does not have an exponent. Therefore, you cannot add 2x to 2x^2. So it is as simplified as it can be at this point
Find the equation of a line traveling through the points (-6, -5) and (12, 7).
Helpp pls due soon
Answers
write the expression in radical form. 2 4/5
Answers
Answer:
its C i believe i put it in a calculator and it gave me that answer
Which system of inequalities has no solution?
A. y < 2x − 44
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6
Answers
Answer:
My answer is letter d
Step-by-step explanation:
Sorry when im wrong
Answer:
B
Step-by-step explanation:
GRRRHRGR H.C DGDVFVDVECDEC
Simplify this radical expression, shown in the following image.
Answers
Answer:
ab²√b
Step-by-step explanation:
original problem can be changed to the square root of a²b²b²b
everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²
the b inside stays there because its exponent is one
PLS HELP I WILL GIVE BRIANLY!!
2/5 x 5/4 in fraction in its simplest form
Answers
Answer:
The answer is 1/2. When you multiply the numerator and denominator, you get 10/20. If you divide the top and bottom by 5, you get 1/2.
The equivalent value of the fraction is A = 1/2 = 0.5
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = pq
when the value of p = 2/5
And , when the value of q = 5/4
On simplifying the equation , we get
A = ( 2/5 ) ( 5/4 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) ( 5/4 )
A = ( 2/5 ) ( 5/4 )
A = ( 2 x 5 ) / ( 5 x 4 )
On simplifying , we get
A = 10/20
Divide by 10 on the numerator and denominator of the fraction , we get
A = 1/2
A = 0.5
Therefore , the value of A = 1/2 = 0.5
Hence , the fraction is A = 1/2 = 0.5
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Write the following equation in slope-intercept form and then graph: 4x + 3y = 12
Answers
How should the decimal point in 4.003 be moved to determine the product of 100 × 4.003?
brainliest if right easy question
move it 1 place to the right
move it 2 places to the right
move it 3 places to the right
move it 4 places to the right
Answers
Answer:
Two places to the right.
Step-by-step explanation:
Since theres two zeros in 100, move the decimal two places to the right, making it 400.3.
IF YOU GET THE RIGHT ANSWER I WILL MAKE YOU BRAINLIEST
Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below. 2,3,,4,4 6,6,7 After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Renee used?
Answers
Answer:
2 cm, 3 cm or 4 cmStep-by-step explanation:
Diameters of potatoes:
2, 3, 4, 4, 6, 6, 7Median is:
4 cmAfter one potato used the median becomes 5 cm.
Out of 6 potatoes left, the two in the middle should give 5 cm in average
This is 4 cm and 6 cm.
Renee must have used one of the 4 potatoes on the left: 2 cm, 3 cm or 4 cm
Hi if u could help me that'd be great
Answers
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
Answer:
Everybody, everybody
Get out on the floor
It can get a little crazy
When the kick hits the floor
Make a scene Make a scene
Nobody can ignore
Don't knock it, til you rock it
We can't take it no more!
Bring the lights up!
Bust the doors down!
Dust yourself off,
Shake it up!
Shake it up!
DJ set it off!
Take it up a notch
All together now!
Shake it up!
Shake it up!
Step-by-step explanation:
luca sells muffins and juice boxes. muffins are $1.50 each and jucie boxes are $1.25 each. write an algebraic expression for the total income luca received from the sale of muffins and juice boxes
Answers
Answer:
1.5m+1.25j
Step-by-step explanation:
m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.
Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.
Add the income from both of them to get the total income, and you get 1.5m+1.25j.
What is the answer???
Answers
(a - ab) / a² ÷ a - 1 / a³
Answers
Answer:
Image below. :)
Explanation:
Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
Answers
the answer is -3m - 15 .
hope it helps you
learning task 4 answer the following show your solution using decimal and proportion methods
1. in survey the barangay had a certain number of families and 60% of them are identified and belong to the poor or marginalized sector if the total families is 150 how many families are belong to the poor sector?
2. lola remedios went to groceries to buy her daily needs if the total amount of her groceries is P 2,500.00 what would be the new amount if the store granted her 20% senior citizens discounts?
3. a passenger bus can accommodate 60 sits. During pandemic they reduce their accommodation to 50%. what is the actual sits can accommodate by the passengers?
Answers
Answer:
1. 90 families
2. P 500
3. 30 sits
Step-by-step explanation:
The computation is shown below:
1. The number of families belong to the poor sector is
= 150 ×60%
= 90 families
2. The new amount is
= P 2,500 × 0.20
= P 500
3. The actual sits accommodated by the passengers is
= 60 sits ×50%
= 30 sits
I WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answers
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
what is 22
+ 60 is it 87 , 650 , or 82, or 67
Answers
Answer:
82
Step-by-step explanation:
vote brainiest plzz
