Answers
Answer:
[tex]a =\frac{\sqrt 2}{2}[/tex] m
[tex]b=\frac{\sqrt 2}{2}[/tex] m
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{c}[/tex]
[tex]\sin(45) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{1}[/tex]
[tex]\sin(45) = a[/tex]
Rewrite as:
[tex]a =\sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]a =\frac{\sqrt 2}{2}[/tex]
Similarly:
[tex]\sin(45) = \frac{b}{c}[/tex]
[tex]\sin(45) = \frac{b}{1}[/tex]
[tex]\sin(45) = b[/tex]
Rewrite as:
[tex]b = \sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]b=\frac{\sqrt 2}{2}[/tex]
Related Questions
Mother combined 7/4 cups of pancake mix and 3/4 cups of water to make pancake butter if she uses 1/4 of a cup of battte to make each pancake
how many pacakes can johny make
Answers
Answer:
10
Step-by-step explanation:
add the 7/4 and 3/4 which is 2 1/2. then divide 2 1/2 by 1/4
Identify the area of the figure shown.
Answers
Answer:
54
Step-by-step explanation:
Find the area of the triangle:
1/2((3 + 5 + 3)*8) = A
1/2((11)*8) = A
1/2(88) = A
44 = A
Find the area of the rectangle:
2 * 5 = A
10 = A
Add the two areas:
10 + 44 = A
A = 54
Solve for x.
5+3(4x - 1) = 14
Enter your answer in the box.
X=
Answers
Answer:
5+12x-3 = 14
12x = 14 -5+3
12x = 12
x = 1
Answer:
X=1. I did mental math. I am sure.
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate
Answers
Answer:
$15 / hr
$450 / week
Step-by-step explanation:
30 h x 52 w = 1560 hrs
$23400 / 1560 = $15 / hr
$15 * 30 hrs = $450 / week
equivalent fraction for 3 1/2
Answers
Some fractions equivalent to 3 1/2 are;
7/2
3 2/4
3 4/8
14/4
and many more...
what's 2/5 - 9/10 as a fraction?
Answers
Answer:
- 1/2
Step-by-step explanation:
turn 2/5 to have the same denominator as 10
2 ( 2 ) = 4
5 ( 2 ) = 10
4/10 - 9/10
= -5/10
simplify
-5/10 = -1/2
hope this helps
The median number of parks cleaned by 101010 service workers in a certain year is 444. The range of the number of parks cleaned by those service workers that year is 777.
Determine if the following statement is true, is false, or does not contain enough information.
If the greatest number of parks cleaned is 101010, then the fewest parks cleaned is 333.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
True
(Choice B)
B
False
(Choice C)
C
Not enough informationvv
Answers
Answer:
The answer is A
Step-by-step explanation:
I got it wrong and it showed that it’s A
Subtract. 82.6 - 27.9
Answers
Answer:
the answer is 54.7
Step-by-step explanation:
82.6 - 27.9 = 54 7
Can someone here please help me out?
Answers
Answer:
hope you can now substitute and find y
I need help please no links I will report
Answers
Answer: $1.45
Step-by-step explanation:
We start by subtracting the change from how much she payed for.
d = dollars | g = goldfish
[tex]16d - 0.05d = 15.95d[/tex]
Then we divide by the goldfish
[tex]\frac{15.95d}{11g} = 1.45d[/tex]
Our answer is 1.45!
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
what are the lengths of sides a and b?
Answers
Answer:
[tex]a =\frac{\sqrt 3}{2}[/tex] mi
[tex]b =\frac{1}{2}[/tex] mi
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]
[tex]\sin(60) = a[/tex]
[tex]a = \sin(60)[/tex]
In radical form:
[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]
Hence:
[tex]a =\frac{\sqrt 3}{2}[/tex]
[tex]\sin(30) = \frac{b}{c}[/tex]
[tex]\sin(30) = \frac{b}{1}[/tex]
[tex]\sin(30) = b[/tex]
Rewrite as:
[tex]b =\sin(30)[/tex]
In radical form:
[tex]\sin(30) = \frac{1}{2}[/tex]
Hence:
[tex]b =\frac{1}{2}[/tex]
A4BC contains two angles that measure 72 and 23 degrees each. A DEF also contains two angles that measure 72 and 23 degrees. The measure of the third angles of both triangles must be degrees.
Answers
Answer:
Answer, is 85
Step-by-step explanation:
You're welcome.
Can someone help pls
Answers
Answer:
[tex] \frac{ - 1}{2} [/tex]
In a unit circle, 0 = 37 radians. What is the terminal point?
A. (0, -1)
B. (-1,0)
C. (1,0)
D. (0.1)
Answers
Answer:
A
Step-by-step explanation:
[tex] \frac{3\pi}{2} = 270[/tex]
On the unit circle, 270 is located between the third and fourth quadrant.
Sin(-90)=-1
Using the peridoicy formula, sin 270=-1. Whenever Sin is 1 or -1, cos is 0. Sin referred as the y value. Cosine is referred as x value so A is the answer.
The terminal point of the given unit circle is (0.6235, 0.7818).
We have,
To find the terminal point of an angle in a unit circle, we need to use the trigonometric ratios of sine and cosine.
The angle Ф = 3π/7 radians is in standard position,
which means its initial side coincides with the positive x-axis.
The sine of theta is given by the y-coordinate of the terminal point, and the cosine of theta is given by the x-coordinate of the terminal point.
sin(theta) = sin(3π/7) ≈ 0.7818
cos(theta) = cos(3π/7) ≈ 0.6235
The terminal point of the angle theta is (cos(theta), sin(theta)):
Terminal point = (0.6235, 0.7818)
Therefore,
The terminal point of the given unit circle is (0.6235, 0.7818).
Learn more about terminal point of a circle here:
https://brainly.com/question/28973006
#SPJ7
Help me pls need it really appreciated
Answers
Answer:
No, because he has a sum of 0.
Step-by-step explanation:
3+11-5-8-2+1
=14-5-8-2+1
=9-8-2+1
=1-2+1
=-1+1
=0
Hans is performing an experiment examining how salt affects the speed at which water freezes. He fills four equally sized containers with the same amounts of water. Then, in three of the containers, he stirs in varying amounts of salt. The fourth container remains plain water.
Hans places all four of the containers in the same freezer and checks the containers every five minutes, recording when the water in each container freezes solid.
In this situation, what do Hans’s time measurements represent?
A.
the response variable
B.
the control group
C.
the response group
D.
the explanatory variable
Answers
Answer:
Answer B.
Because we know He's checking the experiment every 5 minutes.
can you come up with a rule for what happens to the signs when you reflect a point across both axes?
Answers
→ When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).
→ If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Hope it helps!!
Answer:
(a,b) ⇒ (-a,-b)
Step-by-step explanation:
When you reflect over the x-axis, the y-value changes sign.
When you reflect over the y-axis, the x-value changes sign.
So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)
(I've also attached a table that's handy for other reflections if you're curious)
Carmen runs each lap in 4 minutes. She will run less than 28 minutes today. What are the possible numbers of laps she will run today?
Answers
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
La longitud de una varilla es de 12 pulgadas y la de otra varilla es de
87 pulgadas. Compara la longitud de la segunda varilla a la primera
y expresa el resultado como una razón.
Answers
Answer:
Hi how are you doing today Jasmine
CAN YALL HELP ME PLEASE Deanna's times, seconds, for running the 100 meter dash this week were: 10.80 0,10.99,11.02,10.80,11. and 10.96 . 10.78 1.10, 10.88, 10.72, 10.15 Which measure of center would most accurately describe Deanna's typical time, and what is the value of that measure of center? Move a word and a value to complete the sentence . The best center of measure for this data is the which is equal toseconds mean median 10.88 10.9010,8 11.1
Answers
Answer:
MEDIAN11.1Step-by-step explanation:
[tex]{hope it helps}}[/tex]
MEAN and 10.90
this is the answer i got u guys PLZ LIKE THIS so i can get my level up
What is -13 decreased by 9
Answers
Answer:
-4
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
-13 - 9
When both the numbers have the same sign, we add them. After adding we put the same sign of the numbers to the answer
-13-9 = -22The diagonal BD cuts the quadrilateral
ABCD into a right triangle, ABD, and an
equilateral triangle BCD. The dimensions are
given in inches. How many inches long is
DC?
Hint: Equilateral triangles have three equal
sides
Answers
Answer:
answer is 13 inch.,
Step-by-step explanation:
BCD is equilateral triangle so all side is equal.
and ABD is right angled triangle so. use pythagoras theorem.
BD = 13 inch then DC also 13 inch
y = 2x+10 shows the price, y, for x hours of contractor labor. How much for 10 hours of labor?
Answers
Answer:
$30
Step-by-step explanation:
Plus in 10 into the equation
Price=2(10)+10
Price=20+10
Price=30
Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12
Answers
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Need help understanding this problem! If someone would explain how to do it that would be great!
In Triangle FGH, FH=6 ft, FG=11 ft, and m
*Hint: Law of Cosines
Answers
Answer:
m∠G = 31.83°
Step-by-step explanation:
From the triangle FGH,
FH = 6 ft
FG = 11 ft
And measure of the included angle ∠F = 73°
We have to find the measure of ∠G.
By applying law of cosine in the triangle to get the measure of third side GH first,
GH² = FH² + FG² - 2(FH)(FG)cos(∠F)
GH² = 6² + 11² - 2(6)(11)cos(73°)
GH² = 36 + 121 - 38.593
GH = √118.407
GH = 10.88 ft
Now apply sine rule in the given triangle to get the measure of ∠G.
[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]
[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]
sin(G) = 0.527374
G = [tex]\text{sin}^{-1}(0.527374)[/tex]
m∠G = 31.83°
Please see attached pic
Answers
Answer:
D is the correct answer.
Step-by-step explanation:
-Subtract final value by start value
-Divide by start value
-Multiply by 100
Answer:
33%
Step-by-step explanation:
help with this math assignment
Answers
2)6x6=36
3)7x7=49
5)11x11=121
6)13x13=169
7)20x20=400
B:
1)8 5)2
2)10 6)0
3)9 7)5
4)4 8)12
Which of the following is an equivalent expression to x2 + 6x +11?
Answers
Answer:
Step-by-step explanation:
(x + 3)^2 + 2
= [tex]x^2+6x+9+2 = x^2+6x+11[/tex]
What is the measure of m?
Answers
m=6
this is because m=n=6 since the triangle is an equilateral triangle
hope it helps:)))
Answer:
m=6 hope this helps. byer
Factorise fully:
8p2 – 12pc
(2)
Answers
Answer:
so im unsure if the (2) is in the equation so i have two answers
(with 2) 8p (−3c+p)
(without 2) 4p(−3c+2p)
Step-by-step explanation:
(with 2)
Factor 8p2−12pc(2)
−24cp+8p2
=8p(−3c+p)
answer 1: =8p(−3c+p)
(without 2)
Factor 8p2−12pc
−12cp+8p2
=4p(−3c+2p)
answer 2: =4p(−3c+2p)