Lin missed class and Tyler is helping her use the table to approximate the angle measures that have the ratios listed. Tyler says, “You can use the right triangle table to figure this out.” Lin notices that some of the ratios are the same in each row. Estimate the angles and explain why some of the values are repeated.
Answers
Answer:
d is the correct answer
Step-by-step explanation:
bc i did thid
The angles for which the ratios shown in the table are 55° and 35°.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
For any angle, X, in a right triangle, trigonometric ratios are defined as,
sin X = opposite side / hypotenuse
cos X = adjacent side / hypotenuse
tan X = opposite side / adjacent side
Given is a table which represents the sine, cosine and tangent of two angles in a right angled triangle.
Let x and y be the two angles.
sin x = 0.819, cos x = 0.573 and tan x = 1.428
x = sin⁻¹ (0.819) = cos⁻¹ (0.573) = tan⁻¹ (1.428) = 54.98° ≈ 55°
The sum of the interior angles of a triangle is 180°.
In a right triangle, one angle is already 90°.
Sum of the other two angles = 180° - 90° = 90°.
One angle is got to be 55°.
Then the other angle will be 90° - 55° = 35°.
The sine of 55° is equal to the cosine of 35° and the sine of 35° is equal to the cosine of 55°.
This is because that the opposite side of one angle will be the adjacent side of the other angle.
And the hypotenuse is constant.
sin 55=opposite side/hypotenuse and cos 35=adjacent side/ hypotenuse
Opposite side of 55° and adjacent side of 35° are same.
So they have the same values.
Hence the measures of the angles are 55° and 35°.
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Related Questions
Item 8
Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.
How long did the cake bake?
Answers
Answer:
53 minutes
Step-by-step explanation:
3:08-4:08 is exactly 1 hour
4:01-4:08 is 7 minutes difference
1 hour minus 7 minutes is 53 minutes
hope this helped! have a great day :)
The solution is : Ethan for 53 minutes baked the cake .
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
given that,
Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.
now, we have to find the time for the cake baked.
now, we get,
3:08-4:08 is exactly 1 hour
then, we have,
4:01-4:08 is 7 minutes difference
so, we get,
from 3.08pm to 4.01pm, the difference is:
1 hour minus 7 minutes is 53 minutes
Hence, The solution is : Ethan for 53 minutes baked the cake .
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An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.
Answers
PYTHAGOREAN THEOREM BASED QUESTION: If you show steps I will give Brainliest
An artist joined three square regions at their
vertices to create the figure shown in the diagram.
The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?
A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.
B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.
C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.
D. None of these
Answers
Answer:
C. The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.
Step-by-step explanation:
2 1 Simplify the expression by combining like terms. i 3n + 6p + 3+n
Answers
Answer:
4n + 6p + 3
Step-by-step explanation:
3n + 6p + 3+n
In this equation, 3n + n are like terms. Adding 3n + n together gives 4n
4n + 6p + 3
IF A DNA CELL IS ABOUT 3*10^-9 . AND THE THICKEST TO THE SMALLEST THING VISIBLE TO THE NAKED EYE IS 1*10^-4. SO CAN A I SEE A STRAIN OF DNA
Answers
Answer: yes
Step-by-step explanation:
the solution set of 2(x+4)-3=-13
Answers
Answer:
x=-9
Step-by-step explanation:
[tex]2\left(x+4\right)-3=-13[/tex]
given
[tex]2\left(x+4\right)-3+3=-13+3[/tex]
addition property
[tex]2\left(x+4\right)=-10[/tex]
substitution property
[tex]\frac{2\left(x+4\right)}{2}=\frac{-10}{2}[/tex]
division property
[tex]x+4=-5[/tex]
substitution property
[tex]x+4-4=-5-4[/tex]
subtraction property
[tex]x=-9[/tex]
substitution property
Step-by-step explanation:
hope it is helpful to you
I need help so bad and really fast
Answers
Answer:
a) False
b) True
c) False
d) True
e) True
Step-by-step explanation:
Using the digits 0 through 9 at most one time fill in the boxes to make the sum of the interior angles of a triangle
Answers
Answer:
fucififif8tdufifydjvkzhckgkf
What is the area of the figure at the right?
A 80 in.2
C 96 in 2
B 88 in.2
D 120 in.2
Answers
Answer: 88 in2
Step-by-step explanation:
16 * 4 = 64
8 * 3 = 24 / 2 = 12
12 + 12 + 64 = 88
The area of the figure is 88 square inch.
Thus, option (B) is correct.
To find the Area of given, divide the figure into 3 parts.
The formula used here are:
Area of rectangle = length x widthArea of Triangle = 1/2 x base x height1. Area of Rectangle whose length = 16 inch and width is 4 inch
= 16 x 4
= 64 square inch
2. Area of Triangle whose base = 8 inch and height= 3 inch
= 1/2 x 8 x 3
= 4 x 3
= 12 square inch
3. Area of Triangle whose base = 8 inch and height= 3 inch
= 1/2 x 8 x 3
= 4 x 3
= 12 square inch
Now, the total Area of figure
= Area of Rectangle + Area of Triangle + Area of Triangle
= 64 + 12 + 12
= 64 + 24
= 88 square inch.
Thus, option (B) is correct.
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Q6. The diagram shows two similar solids, A and B.
Solid A has a volume of 80 cm.
(a)
Work out the volume of solid B.
Answers
Answer:
640cm³
Step-by-step explanation:
Length SF = ×2
Volume SF = ×2³ = ×8
Volume of B = 8 × 80 = 640cm³
The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The diagram shows two similar solids, A and B. Solid A has a volume of 80 cm³.
The scale factor is given as,
Scale factor = 8 / 4
Scale factor = 2
The scale factor of the volume is given as,
⇒ 2³
⇒ 8
Then the volume of the solid B will be given as,
Volume of B = 8 x 80
Volume of B = 640 cm³
The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.
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One school purchased 10 gallons of blue paint to decorate several of its classrooms. If
each classroom needs of a gallon of paint, then how many classrooms will get
painted?
Answers
Answer:
10 classrooms
Step-by-step explanation:
Divide it.
If each class needs 1 gallon, 10/1=10
what is the slope of the line whose equation is 20x - 2y = 9
Answers
Answer:
slope = 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
20x - 2y = 9 ( subtract 20x from both sides )
- 2y = - 20x + 9 ( divide terms by - 2 )
y = 10x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form
with slope m = 10
Show that the interior angle of a regular octagon is 135°
Answers
Answer:
Each corner of an octagon is 135
Use a protractor to help
NOTE: The sum of the interior angles of a regular octagon = (2n-4)*right angles or (n-2)*straight angles or (8–2)*180 =6*180 = 1080. So each interior angle of the regular octagon = 1080/8 = 135 deg.
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Have a great day, be safe and healthy
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Please help !!
What is the length , in centimeters , of line segment EF ?
Answers
Answer:
6
Step-by-step explanation:
The perimeter of ABC is 36 so each side is 12 cm. Since the vertices of DEF are the midpoint, then the side EF is 6 cm
Please help me asap !!!
1. Add the current income from each pay category. What is the total income for this pay period?
2. Add the taxes, benefits (premiums), and other deductions. What are the total deductions for this pay
period?
3. Subtract the total deductions from the total income for this pay period. What is the total net pay for this
pay period?
4. Calculate Jaxson's NMI: Multiply the total net pay for this period by the 26 paychecks Jaxson will receive
per year. Then divide that amount by the 12 months in a calendar year. What is Jaxson's NMI?
Answers
need help plz will give brainy not sure if i got it right
Answers
Answer:
Neither triangle
Step-by-step explanation:
Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).
Both triangles are good examples of common Pythagorean triples.
The Pythagorean theorem states that for any right triangle, the following is true:
[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
Using this theorem we can solve for the hypotenuse of both triangles:
Triangle 1:
[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]
Triangle 2:
[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]
A sack of potatoes weighs 14 pounds 5 ounces. After Wendy makes potato salad for a picnic, the sack weighs 5 pounds 14 ounces. What is the weight of the potatoes Wendy used for the potato salad?
Answers
loll please help!!:)
Answers
Answer:
10
Step-by-step explanation:
The diameter would be 10 because since the radius is 5, just multiply it by 2 and you get 10.
can anybody answer this? asap
Question:
A ribbon with a length of p cm is cut into three parts. The length of the first part and the second part are x cm and 2x cm respectively.
(a) Write an expression for the length of the third part.
(b) If x = 10 and the length of the second part is four times the length of the third part, calculate the value of p.
Answers
Answer:
(a) y = (p - 3x) cm
(b) p = 35 cm
Step-by-step explanation:
Total length of the ribbon = p cm
The length of the first part = x cm
The length of the second part = 2x cm
Let the length of the third part be represented by y.
(a) Thus,
x + 2x + y = p
3x + y = p
y = p - 3x
An expression for the length of the third part is (p - 3x) cm
(b) If x = 10 cm, then;
length of first part = 10 cm
length of the second part = 2x
= 2(10)
= 20 cm
But,
length of the second part = 4y
i.e 20 = 4y
y = 5 cm
The value of p = 10 + 20 + 5
= 35 cm
p = 35 cm
7. Find x, round to nearest degree.
A
15
xo
20
B.
Answers
The processed I used to solve is below. If you have an questions let me know!
There is 12 feet from the center of the room to the wall. How big is the floor? (JUST write the number: no units) *
Answers
Answer:
im gonna say 24
Step-by-step explanation:
Answer:
if the room is a square it would be 576 if it is 12 feet from the center of the room to the edge than if you make another line from the center to the opposite direction of the first line and push your new line to the edge of the room you would get 24 feet from one corner to another and if the room is a square then all sides will be the same length so all sides will be 24 feet. and the equation would be 24 times 24 and the answer to that equation would be 576Select the correct answer.
The parent cosine function is shifted 5 units left, then vertically stretched by a factor of 4 and shifted up 2 units. Which statement is true about the graph of the transformed function?
A. midline is y=8
B. midline is y=5
C. midline is y=4
D. midline is y=2
Answers
Answer: d y=2
Step-by-step explanation:
Using shifting concepts, it is found that the midline is y = 2, given by option D.
--------------------------------
For the parent function [tex]y = \cos{x}[/tex], the midline is at [tex]y = 0[/tex].If the function is shifted up or down, the midline will also be shifted up or down.In this question, the parent function is shifted up 2 units, thus, the midline is also shifted up 2 units, and will be given by y = 0 + 2 = 2.The correct option is D.A similar problem is given at https://brainly.com/question/24465194
(2.4x10^3)+(5.7x10^2)
what is the value
Answers
Answer: 2970
Step-by-step explanation:
First, you do the first exponent in the first part which is 10^3 and the answer for that is 1000. Then you do 2.4x1000 which is 2400. Afterwards you do the second part's exponent which is 10^2 and you get 100 for that. Next, you do 5.7x100 which is 570. Finally you add 2400+570 and get 2970.
Answer:
Step-by-step explanation:
(2.4 x 10³) + (5.7 x 10²)
(2.4 x 1000) + (5.7 x 100)
2400 + 570
2970
How many ways can 6 students stand in a line if there are 10 children to choose from?
Answers
Answer:
Around 720.
Step-by-step explanation:
Ms. Keller is grading semester projects. In the past two hours, she has graded five projects. At this rate, she will grade (?) Projects in seven hours at a rate of (?) Projects per hour.
Answers
Answer:
17.5 PROYECT AND SEVEN HOURS RATE OF
2.5 PROYECT PER HOUR
Answer:
17.5 projects in seven hours at a rate of 2.5 projects per hour.
Step-by-step explanation:
First, find the unit rate of projects per hour.
Next, find the number of projects Ms. Keller would grade in seven hours by multiplying the unit rate by seven hours.
Therefore, at this rate, Ms. Keller will grade 17.5 projects in seven hours at a rate of 2.5 projects per hour.
Help plz hhhhhhhhhh plz
Answers
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go
charges a $2 monthly fee plus $4 per game. Which function rule would represent Games-R-Us and Games2Go
where f(x) represents the total amount and x represents the amount per game?
Games-R-Us:f(x) = 2x + 10
Games2Go:x) = 4x + 2
Games-R-Us: f(x) = 2x + 10
Games2Go: v) = 22 + 4
Games-R-Us:/(x) = 10x + 2
Games2Go: ) = 2x + 4
Games-R-Us:) = 10x + 2
Games2Go: f(x) = 4x + 2
Answers
Answer:
Games-R-Us:f(x) = 2x + 10
Games2Go:x) = 4x + 2
Step-by-step explanation:
Can someone please help with this? it is due tomorrow.
Answers
Answer:
1.x=7, 2.x=7, 3.x=7, 4.x=1, 5.x=20, 6.x=9, 7.x=100, 8.x=9
Step-by-step explanation:
hope this helps :<)
Please help me out
No links!
Thank you
Answers
Answer:
4 batches of fudge brownies
1 batch of peanut butter brownies
Step-by-step explanation:
5 × 4 = 20
6 × 1 = 6
20 + 6 = 26
:)
Please help me I can’t find the answer
Answers
Answer:
y-5=2.5(x-2)
Step-by-step explanation:
Since we know the slope, we know what x is. x is equal to 2.5. Therefore, the equation will be y=2.5x+?. The y-intercept on this graph is 0. This is because the only point on the y line is (0,0). Therefore, the y-intercept is 0. Therefore, the equation is y=2.5x.
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