In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?
Answers
Answer:
sinF = [tex]\frac{11}{61}[/tex]
Step-by-step explanation:
sinF = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EG}{FE}[/tex] = [tex]\frac{11}{61}[/tex]
The ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].
What is sine of an angle?In a right angled triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse.
Formula for sine of an anglesin θ = opposite side w.r.t θ / hypotenuse
According to the given question
We have
A right angle triangle EFG, in which
∠G = 90 degree
EG = 11
FE = 61
and, GF = 60
Now, the opposite side with respect to ∠F is GE
and the hypotenuse is EF
Therefore, sine of ∠F = side which is opposite w.r.t ∠F/ hypotenuse
⇒ [tex]sinF=\frac{GE}{EF}[/tex]
⇒ [tex]SinF=\frac{11}{61}[/tex]
Hence, the ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].
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Related Questions
Part b. is the second part of this question.
If you could explain to me or answer, I'd really appreciate it. This is sort of urgent, so I'd need to get it done soon. Thank you.
Answers
Answer:
I have tried but I can't sorry friend
230% of 99 hours is what?
Answers
Answer:
227.7 hours
Step-by-step explanation:
of means multiply and is means equals
230% * 99 = what
Change the percent to decimal form
2.30 * 99 = what
227.7= what
[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]
[tex]\\ \sf\longmapsto 227.7hours[/tex]
489
X
96°
x =
degrees
Answers
Answer:
x=144°
Step-by-step explanation:
To work out x, you have to find the other angle in the triangle.
Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.
48+96=144°
180-144=36°
Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.
180-36=144°
x=144°
Hope this helps :)
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
So,[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]
28. find the range…
please help!!!
Answers
Answer:
A
Step-by-step explanation:
lmao this problem is bullshit because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A
if it was asking for the domain on the other hand, then it would be B lmao
but I would go with A
Help in 36 and 37 pls
Answers
Answer:
The answer of number 36 is G and the answer of number 37 is A
Write a function, f, whose zeros are -5, -2, and 0.
A) x^3+7x^2-10x
B)x^3-3x^2-10x
C)x^3-7x^2-10x
D)x^3+3x^2-10x
Answers
D)x^3+3x^2-10x
Answer:
Hello,
None !!!
Step-by-step explanation:
[tex]f(x)=x(x+5)(x+2)\\=x(x^2+5x+2x+10)\\\\=x^3+7x^2+10x\\[/tex]
Hello! I’m really struggling with this, any help is appreciated (:
Answers
Hi, It's the 3rd option
Thanks, It was little hard to find the answer. I am not totally sure about it but as far as I understand this question. the third option is correct.
:)
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
22.08 ft2
24.45 ft2
26.32 ft2
28.97 ft2
Answers
Answer:
22.08 ft^2
Step-by-step explanation:
First find the area of the full circle
A = pi r^2
The diameter is 15 so the radius is 1/2 (15) = 7.5
A = (3.14) (7.5)^2
=176.625
45 degrees is a fraction of a circle which is 360 degrees
45/360 = 1/8
Multiply the area of the circle by this fraction
1/8 (176.625) =22.078125
Rounding to the nearest hundredth
22.08
Answer:
22.08 ft2
Step-by-step explanation:
In math class, Jose earns 10 points for each A in his homework. If he already has 50 points, how many A’s does he need to get 120 points?
Answers
Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)
Step-by-step explanation:
Answer:
He needs 7 A's.
Step-by-step explanation:
The pictures.
Hope this helps!!! :)
Need help please help please please please please
Answers
3. Find the measure of angle A.
Answers
Answer:
20
Step-by-step explanation:
Angle Formed Outside = 1/2(difference of Intercepted Arcs)
The outside arc = 360-160 = 200
A =1/2 (200-160)
A = 1/2 (40)
A = 20
Simplify
4(w + 2) - 7
Answers
Answer:
4w +1
Step-by-step explanation:
4(w + 2) - 7
Distribute
4*w + 4*2 -7
4w +8-7
Combine like terms
4w +1
Hey there!
4(w + 2) - 7
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(w) + 4(2) - 7
= 4w + 8 - 7
COMBINE the LIKE TERMS
= 4w + 1
Answer: 4w + 1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
HELP FAST 100 POINTS
MUCH SHOW WORK
Answers
Answer:
x is 7 and m<1 is 99°
Step-by-step explanation:
m<NMQ + m<MQN + m<QNM = 180°
[tex]{ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x = \frac{168}{24} }} \\ \\ { \sf{x = 7}}[/tex]
m<1 = 180° - (11x + 4)
m<1 = 180° - 81°
m<1 = 99°
Using angle sum property
[tex]\\ \sf\longmapsto 5x+19+8x-11+11x+4=180[/tex]
[tex]\\ \sf\longmapsto 24x12=180[/tex]
[tex]\\ \sf\longmapsto 24x=180-12=168[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{168}{24}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
<1=11(7)+4=77+4=81[/tex]find the domain
PLEASE AND THANK YOUUUU
Answers
Answer:
The domain is all real numbers except x=0
Step-by-step explanation:
The domain is the values that x can take
x can be all real number except when the denominator is zero
x cannot be 0
The domain is all real numbers except x=0
Plz help me ASAP plz
Answers
Explanation
18-15=3
Answer:
3
Step-by-step explanation:
RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!
Which graph represents the given equation?
y
=
NICO
+ 4r – 2
Answers
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).
Given that:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
This is when [tex]x = 0[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]
[tex]y = - 2[/tex]
This point is represented as: [tex](0,-2)[/tex]
Next, check the equation when [tex]x = 1[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]
[tex]y = 3.5[/tex]
This point is represented as: [tex](1,3.5)[/tex]
From the list of given options (see attachment).
Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.
Hence, option (B) is correct.
Read more about equation of graphs at:
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Answer:
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).
Step-by-step explanation:
y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx = 0.43050087, -3.09716754
PLZ GIVE DETAILED EXPLATION WITH ANSWER.
WILLMARK BRAINLIEST
Answers
Answer:
Print('Batman')
Step-by-step explanation:
it literally says "Elif False and False or True and True print('Batman')
2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm
Answers
Answer:
please translated to english
Someone help please.
Answers
Answer:it could b phase shift but i think that u would have 2 put it on the axis 2 really get it but that is what is thought n our grade but axis
Step-by-step explanation:
What is the simplest form of 20 over 315?
Answers
Answer:
4/63
Step-by-step explanation:
20/315 = (20÷5)/(315÷5)
1.Origin
2.Y-Axis
3.Run
4.Solution of a Line
5.Ordered Pairs.
6.Quandrant
7.Solution of a Linear equation
8.slope
9.Slope- intercept form
10.Rise
11.Y intercept
12.parallel Lines
13.X intercept
14.x axis
15.Linear equation
16.Perpendicular Lines
17.Point slope Form
18.Coordinate plane
1.Plane with two axes as a frame of reference.
2.The vertical number line in a coordinate plane
3.The horizontal number line in a coordinate plane
4.A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate.
5.where the x and y axis meet. The point (0,0).
6. One of the four regions into which the x and y axis separate the coordinate plane.
7. An equation with two variables that makes up a straight line on a coordinate plane.
8.The vertical change in a line from one point (x1,y1) to a second point (x2,y2).
9. The horizontal change in a line from one point (x1,y1) to a second point (x2,y2).
10.The ratios of a Lines rise over its run.
11.y-y1=m(x-x1)
12.Any of the ordered pairs that make an equation true.
13. Any of the points that are on the line of an equation.
14. The point where a graph crosses the x axis.
15. The point where a graph crosses the y axis
16.A Linear equation in the form y=mx+b, where m is the slope and b is the y-intercept
17. Lines that have the same slope and never intersect.
18.Two Lines that intersect at 90°angle.Slopes of these lines are opposite reciprocals.
Answers
Step-by-step explanation:
Origin is 5.
Y Axis is 2
Run is 9
Solution of a Line is 13.
Ordered Pairs is 4.
Quadrant is 6.
Solution of Linear Equation is 12.
Slope is 10.
Slope Intercept Form is 16.
Rise is 8.
Y intercept is 15.
Parallel Lines is 17.
X intercept is 14.
X axis is 3.
Linear Equation is 7.
Perpendicular Lines is 18.
Point Slope Form is 11.
Coordinate plane is 1.
What is the slope of the line shown below?
A.
[tex] \frac{1}{2} [/tex]
B.
[tex] - \frac{1}{2} [/tex]
C.
[tex]2[/tex]
D.
[tex] - 2[/tex]
Answers
Answer:
The choose C. 2
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 2 + 4}{3 - 2} = \frac{2}{1} = 2[/tex]
Answer:
option C is correct
Step-by-step explanation:
slope = [tex] \frac{ - 2 + 4}{3 - 2} [/tex][tex] = \frac{2}{1} [/tex][tex] = 2[/tex]Hope it is helpful....
Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2
Answers
Answer:
33x+22
Step-by-step explanation:
The area of a rectangle is
A = l*w where l is the length and w is the width
A = 11(3x+2)
Distribute
= 33x+22
Area of rectangle = Length * Width
Length is 3x+2Width is 11⇛Area = 11(3x+2)
⇛Area = 33x + 22
Please help, the question is in the picture
Answers
Answer:
per = 18a 7a+2a+7a+2a
area = 14 [tex]a^{2}[/tex] 7a*2a
Step-by-step explanation:
Answer:
(i) 18a
(ii) 14[tex]a^2[/tex]
Step-by-step explanation:
i: 7a+7a+2a+2a
14a+4a
18a
ii: 7a*2a
14a2
I hope this helps!
50 000 000 = 3000 * 2.6^t
How do I find t?
Answers
Step-by-step explanation:
50000000=3000*2.6^t.
2.6^t=50000÷3
t÷2.6=50000÷3
t=50000*2.6÷3
Find m∠AMY+m∠CME. i dont understand
Answers
Answer:
It's 46°
Step-by-step explanation:
[tex]m \angle AMY = 62 - 37 = 25 \degree[/tex]
[tex]m \angle CME = 159 - 138 = 21 \degree[/tex]
[tex]{ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}[/tex]
The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
From the picture,
The measure of angle PMY = 62 degrees
The measure of angle PMA = 37 degrees
The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37
= 25 degrees
Similarly,
Angle CME = 79 - 21 = 58 degrees
m∠AMY+m∠CME = 25 + 58 = 83 degrees.
Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
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The backyard of a new home is shaped like a trapezoid with a height of 44 ft and bases of 90 ft and 110 ft. What is the cost of putting sod on the yard, if the
landscaper charges $0.25 per square foot for sod?
Answers
Answer:
$1100
Step-by-step explanation:
First find the area of the trapezoid
A = 1/2 (b1+b2)*h
A = 1/2 ( 90+110) *44
A = 1/2(200)*44
A = 4400ft^2
The cost is .25 per square foot
4400* .25 =1100
Answer:
$1100
Step-by-step explanation:
((90 + 110)/2 * 44)) * .25 = 1100
Jiayi typed w word in 40 minutes. How many words did she type in 1 minute?
Answers
Answer:
40 minutes in w worlds
1 minutes =W/4
Words typed in 40 minutes = w
So, words typed in 1 minute
= Words typed in 40 minutes/40
= w/40
So, she Jiayi typed (w/40) words in 1 minute.
a=3x + 2y/3x - 2y. If y =4, x=6 find the value of a.
Answers
Answer:
a = [tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{3x+2y}{3x-2y}[/tex] , substitute y = 4 , x = 6
a = [tex]\frac{3(6)+2(4)}{3(6)-2(4)}[/tex] = [tex]\frac{18+8}{18-8}[/tex] = [tex]\frac{26}{10}[/tex] = [tex]\frac{13}{5}[/tex]
what is the LCD of 1/6 and 2/3
Answers
Answer:
6
Step-by-step explanation:
What does LCD mean?LCD means Least Common Denominator
1/6 and 2/3. You can easily see the least common denominator is 6 for 2/3 = 4/6 and 1/6 doesn't need to change.Hope this helped!
Answer:
6
Step-by-step explanation:
We want to find the denominator that is common for both fractions
LCD means least common denominator of the smallest denominator that is common to both
6 and 3 , the smallest factor that is common to both is 6
