Answers
Answer:
22.6°
Step-by-step explanation:
Reference angle = <FDE
Side opposite to <FDE = 5
Hypotenuse = 13
The trigonometric ratios to apply is:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(\angle FDE) = \frac{5}{13} [/tex]
[tex] sin(\angle FDE) = 0.3846 [/tex]
[tex] \angle FDE = sin^{-1}(0.3846) [/tex]
[tex] \angle FDE = 22.6 [/tex] (nearest tenth)
Related Questions
If two of the angles in a triangle measure 68 and 23 degrees, what is the measure of the missing angle?
Answers
Answer:
89
Step-by-step explanation:
We know that all the inside angles of a triangle summed up is 180 so we just do 68 + 23 which is 91 now we use 180 and subtract 91 from it, 180-91 which equals 89
Determine the unknown angle measure for each triangle. PLS HELP I DONT GET IT LOL IF YOU HELP ME YOULL GET BRAINLIEST PLSSS ASAP
Answers
Answer:
Step-by-step explanation:
Hi there.
1a. m C= 44 degrees
46+90= 136 180-136=44
1b. m P= 60 degrees
10+110=120 180-120=60
For future reference, you can solve these with some simple addition. The sum of the angles in any triangle is 180, so add your two given pieces together and subtract it from that to get your missing measure.
2a. Lines a and b have a positive slope. You can tell because they are tilted to the right.
2b. Line d has a negative slope. It's tilted to the left.
(Line c's slope is neither positive or negative because it is zero)
3. x= 65
(I'm not so sure about this one, but I think the angle opposite 25 is also 25, and because of parallel rules the angle above 70 is 110. That means the angle above 110, inside the triangle, is 90. So, we have 90 and 25 and that means 65 is our remaining measure. I really hope this is correct. If you have some sort of notes sheet on the rules of parallel lines and their angle measures, that might be helpful)
Clare made an error when solving -4x + 3 < 23
-4x + 3 < 23
-4x < 20
x < - 5
Describe the error she made
Help me plzz
Answers
Answer:
Clare didn't change the inequality symbol in the last step to >
Step-by-step explanation:
Given inequality is:
[tex]-4x+3<23[/tex]
Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.
The answer must have been x > -5
The correct way to solve is:
[tex]-4x+3 <23\\-4x<20\\x>-5[/tex]
Hence,
Clare didn't change the inequality symbol in the last step to >
Help.please asap will mark brainliest!!!
Answers
HELP HELP HELP First to HELP gets the brainliest :D
Answers
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
If DG = 60ft, solve for GO
35
7
None of the other answers are correct
25
6
Answers
Answer:
A: 35
Step-by-step explanation:
DG is the combined segments DO and OG. In other words:
[tex]DG=DO+OG[/tex]
We know that DG is 60. DO is (4x-3) and OG is (2x+21). So, substitute:
[tex]60=(4x-3)+(2x+21)[/tex]
Solve for x. Combine like terms:
[tex]60=6x+18[/tex]
Subtract 18 from both sides:
[tex]42=6x[/tex]
Divide both sides by 6. Hence, the value of x is:
[tex]x=7[/tex]
GO is defined as (2x+21).
So, to find GO, we can now substitute 7 for x and evaluate. Therefore:
[tex]GO=2(7)+21=14+21=35[/tex]
Hence, our answer is A.
e*****12345688954576665656556555555
a.
4. Look at these prices.
£8.79
£7.98
£8.97
£7.89
Write the amounts in order. Start with the smallest amount.
£
£
£
£
smallest
largest
Answers
I need help with this one
Answers
Answer:
she charges 20 dollars per photo
for every photo it goes up by 20. you could say that the slope is 20 also.
Answer:
She charges 20 dollars per photo
Step-by-step explanation:
Pick any price on the y axis and divide by the corresponding x-value. For example, the line has a point at (60,3) so we can divide 60 by 3 to give us 20. 20 is therefore the slope of the line.
What is the answer for 5x1+2?
I
Answers
Answer:
7
Step-by-step explanation:
7 men can dig a canal in 14 weeks. After 2 weeks of work another 7 men joined them in how many weeks more will the work be finished?
Answers
Answer:
1 week
Step-by-step explanation:
Marcus spent 3.25$ to wash his car. If one querter operates the car wash 60 seconds hiw long did it take him to wash his car.
10 min or 13 min. or 16 min ir 32.5 min
Answers
Answer:
answer=answer
Step-by-step explanation:
Y E S
I love simple math.
3.25$ to wash the car.
60 seconds: 1 quarter
how many quarters is 3.25?
4 quarters per dollar. so it'd be 13 quarters, then do 13*60=how many seconds u got. 780 seconds. I think you can do 780/60
HINT: hey, psst, it's 13 minutes. : D
HEY DOn'T teLL tHeM tHe ANSWER. :V
Work out please what is it
Answers
Step-by-step explanation:
a.5/7
b.12/8= 6/4 = 3=2 =
1 and 1/3
c. 4/6-3/6=
1/6
Answer:
a.)5/7
b.)1.5 or 1 1/2
c.)1/6
Step-by-step explanation:
What number will you get the same result if you multiply it by 3 and add 1, OR if you multiply it by 2 and add 8?
Answers
Answer:
7
Step-by-step explanation:
3×7+1=22
2×7+8=22
A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013, the population had reached 236 wolves. Write the equation representing the population N of wolves over time t. Write your answer in the form a(b)^t. Round your b value to 3 decimal places.
Answers
Answer:
129 [tex](1.3526)^{t}[/tex]
Step-by-step explanation:
Assuming N = [tex]ab^t[/tex]
t = number of years after 2011
N = number of wolves
When t = 0 , N = 129
129 = [tex]ab^0[/tex]
a = 129
N = 129[tex]b^{t}[/tex]
When t = 2 , N = 236
therefore 236 = 129 [tex]b^{2}[/tex]
[tex]b^{2}[/tex] = [tex]\frac{236}{129}[/tex]
therefore; b = 1.3526
Answer expressed in the form of a(b)^t.
129 [tex](1.3526)^{t}[/tex]
Write an equation in point-slope form for the line that has a slope of 6 and contains the point (8,7)
Answers
Answer:
The answer is
[tex] \huge y - 7 = 2(x - 8)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 7 = 6(x - 8)[/tex]
Hope this helps you
evaluate the expression when y=10. 2+y+11
11
12
21
23
Answers
Answer:
23
Step-by-step explanation:
First, we can rearrange the equation to make it look simpler.
2+y+11 ---->
y+2+11
Then, we can combine like terms, thus
y+13
Then, we can plug in 10 for y
(10)+13
Combine like terms again, and the answer is:
23
What is the equation in point-slope form of the line passing through (-2, 0) and (2, 8)?
y = 2(x + 2)
Ob
y = 2(x - 2)
Ос
y = -2(x - 2)
Od
y = -2(x + 2)
Answers
Answer:
-8
Step-by-step explanation: y = 2(x +2) so... ( 2x 2) = 4 while 2 - x 2 = 8
Answer:
first one.
Step-by-step explanation:
y=2(x+2).
.....
A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3, the player wins nothing. If there is a charge of $9 to play the game, what is the game's expected value?
Answers
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
1. Explain how a function may be reflected about the x-axis.
2. Explainhowafunctionmaybereflectedaboutthey-axis.
3. What is the difference between a slope change and a translation?
Answers
Answer:
If the function is reflected across the x-axis, the negative sign will be like this -f(x)
If the function is reflected across the y-axis, it will be lie this f(-x)
Translation is the movement of an object without any change of size, whereas change of slope is the difference in steepness.
Step-by-step explanation:
13.a: Triangle ADEF is *equilateral* with DE = 3x + 6, EF = 36 - 3x and FD =
12x-39. What is the value of x? *
O 3
5
6
O 12
Answers
Answer:
5
Step-by-step explanation:
3x + 6 = 36 - 3x
6x = 30
x = 5
The list of ordered pairs below represents a function
(12, 6), (3, 1), (2,-2), (5, 10), (-8, -4) (_,_)
Which of the following could be the missing ordered pair?
A. (2,1)
B. (12,7)
C. (-8,8)
D. (-3,-4)
Answers
Answer:
D. (-3,-4)Step-by-step explanation:
GivenOrdered pairs
(12, 6), (3, 1), (2,-2), (5, 10), (-8, -4) (_,_) To findThe missing pairSolutionSince it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice
A minor league baseball park has 6800 seats. Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all seats are sold, the revenue is $61200. If the number of bleacher seats is 2 times the number of box seats, how many seats of each type are there?Box seats:_______ Grandstand seats:_______ Bleacher seats:______
Answers
Answer:
Step-by-step explanation:
Let us represent
The number of Box seats = x
The number of grandstand seats = y
The number of bleacher seats cost = z
A minor league baseball park has 6800 seats.
Hence,
x + y + z = 6800
Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all seats are sold, the revenue is $61200.
Hence:
$19 × x + $9 × y + $4 × z = $61200
19x + 9y + 4 z = 61200
If the number of bleacher seats is 2 times the number of box seats
z = 2x
Hence we substitute
x + y + z = 6800
x + y + 2x = 6800
3x + y = 6800.... Equation 3
y = 6800 - 3x
For Equation 2, substituting 2x for z
19x + 9y + 4z = 61200
19x + 9y + 4(2x) = 61200
19x + 9y + 8x = 61200
27x + 9y = 61200...... Equation 4
Combining Equation 3 and 4
3x + y = 6800.... Equation 3
27x + 9y = 61200...... Equation 4
Note that:
y = 6800 - 3x
We substitute the above in Equation 4
27x + 9(6800 - 3x) = 61200
27x + 61200 - 27x = 61200
Box seats:_______ Grandstand seats:_______ Bleacher seats:______
A ball was thrown up into the air and allowed to bounce until it came to a halt.
10 +
9
8
N
6
Height in Feet
4
3
m
2.
1
o
0
1 2 3 4 5 6 7 8 9 10
Time in Seconds
At which of the following intervals did the height of the ball increase and then decrease?
0 0 SXS4
25x54
Ο ΟΟΟ
5 SXS7
75x59
Answers
In the interval 0 ≤ x ≤ 4 the height of the ball increase and then decrease option (A) is correct.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that:
The ball was thrown up into the air and allowed to bounce until it came to a halt.
As we know,
The parabola can be defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the :
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
Thus, in the interval 0 ≤ x ≤ 4 the height of the ball increase and then decrease option (A) is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ2
(GIVING BRAINLIEST ON THIS ONE!!)
Solve six and two sixths times one and one half.
A) eight and six twelfths
B) nine and six twelfths
C) ten and two twelfths
Answers
Answer:
B
Step-by-step explanation:
6 2/6 x 1 1/2
(6 x 6) + 2 = 38/6
(1 x 2) + 1 = 3/2
38/6 x 3/2 = 114/12.
114 ÷ 12 = 9 6/12
9 6/12 = 9 3/6 = 9 1/2.
B
Answer:
the answer is b) nine and six twelfths
Step-by-step explanation:
hoped that helped
9x^2-4
F.(3x + 2)(3x - 2)
G.(3x + 2)2
H. (3x - 2)2
J.prime
Answers
Answer:
Step-by-step explanation:
I'm not entirely sure what the question is, but I suspect the answer is not prime.
9x^2 - 4
factors into two factors (3x + 2)(3x - 2)
Suppose x = 11 which is prime.
9*121 - 4
1085 which ends in a 5 so the expression is not prime.
In fact, the two factors are 3*11 + 2 = 35 and 3*11 - 2 = 31
31*35 = 1085
9514 1404 393
Answer:
F. (3x +2)(3x -2)
Step-by-step explanation:
The given expression is the difference of two squares, so can be factored accordingly.
9x^2 -4 = (3x)^2 -2^2 = (3x +2)(3x -2) . . . . . matches F
If the function y = xa − 31 is a linear function, what is the value of a?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
a.1
i hope you get it right
Answer:
a
Step-by-step explanation:
Use the picture below.
How many lines of symmetry does the picture have?
A - 2
B - 3
C - 1
D - 0
(Lol My lil bro asked me and im to lazy for this-)
Answers
Answer:
1. I belive
Step-by-step explanation:
Use the graph to fill in the blank with the correct number.
f(-2)=?
Answers
Answer:
2
Step-by-step explanation:
In function notation, f(x) equals the y value and the x equals the x value. So this question is asking you to find the value of y when x=-2. To do this find -2 on the graph and find the point with the same x value, then find what value of y it is on. In this case, f(-2)=2.
I need to find the answer for "x" 2x + 3(5x - 7) =47
Answers
Answer:
The answer would be x=4.
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2x+3(5x−7)=47
2x+(3)(5x)+(3)(−7)=47(Distribute)
2x+15x+−21=47
(2x+15x)+(−21)=47(Combine Like Terms)
17x+−21=47
17x−21=47
Step 2: Add 21 to both sides.
17x−21+21=47+21
17x=68
Step 3: Divide both sides by 17.
17x/17=68
17x=68
x=4
The quotient of 8 divided by 1/5 will be _____ 8.
Answers
Answer:
5
Step-by-step explanation:
Answer:
Less Than :)
Step-by-step explanation: