Answers
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
FG is a perpendicular bisector for AEDG is a perpendicular bisector for ECBecause of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
18.79
Step-by-step explanation:
→ Use Pythagoras theorem
√11.2² - 6.1²
→ Simplify
9.39
→ Now double the answer
18.79
Related Questions
Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)
Answers
Answer:
I think the answer is $170
The U.S. Senate has 100 members. After a certain election, there were 12 more Democrats than Republicans, with no other parties represented. How many
members of each party were there in the Senate?
Answers
88/2=44
100-44=56
(56-44=12)
56 democrats
44 republicans
27.81 + (-13.97) please help
Answers
Answer:
13.84
Step-by-step explanation:
Answer:
13.84
Step-by-step explanation:
im always here to help...
Please help meee :( Just an answer
Answers
Answer:
p plus 6
Step-by-step explanation:
A camping leader bought the items listed in the table for his team.
What is the average cost of an item in his purchase?
$4.55
$5.93
$6.25
$6.35
Answers
Answer:
5.93
Step-by-step explanation:
6 x 9.45 = 56.7
10 x 6.95 = 69.5
14 x 5.50 = 77
9 x 3.10 = 27.9
56.7 + 69.5 + 77 + 27.9 = 231.1
6 + 10 + 14 + 9 = 39
231.1 / 39 = 5.925 = 5.93
13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)
Answers
Answer:
y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]
Step-by-step explanation:
First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.
When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].
Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).
-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b
-1 = [tex]\frac{20}{3}[/tex] + b
b = -[tex]\frac{23}{3}[/tex]
After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].
What is the equation of the line that passes through the point (-4,-2)(−4,−2) and has a slope of -\frac{1}{2}− 2 1 ?
Answers
Answer:
Question not clear. I cant see the value for slope.
Step-by-step explanation:
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
Learn more about sentences here:
https://brainly.com/question/4955765
2.
In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
Answers
Answer: the answer is 3.7%
Step-by-step explanation:
We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80
3/80=0.0375
to find percentage take 0.0375 and multiply it by 10 to get 3.7
therefor the answer is 3.7%
What is the distance between the following points
answer choices
A 85
B 90
C 11
D 12
Answers
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]
with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )
d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]
= [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]
= [tex]\sqrt{9^2+4}[/tex]
= [tex]\sqrt{81+4}[/tex]
= [tex]\sqrt{85}[/tex]
Please help, I’m having trouble
Answers
Answer:
z=13
Step-by-step explanation:
SU 1
------ = ------
WV 2
z 1
----- = ----------
z+13 2
Using cross products
2z = z+13
Subtract z from each side
2z-z = z+13-z
z = 13
Find the value of x and the indicated angles.
Answers
Answer:
x = 19
Indicated angles: 113°
Step-by-step explanation:
We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.
=> 6x - 1 = 2x + 75=> 6x - 2x = 1 + 75=> 4x = 76=> x = 19Since we have found the required variable, we can now solve the indicated variables.
Given angles:
6(19) - 12(19) + 75Let's solve 6(19) - 1 first.
6(19) - 1=> 114 - 1=> 113Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75
2(19) + 75=> 38 + 75=> 113We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers?
Answers
Answer:
This is because he rides 37.5 k/m every week. Multiply that by four and you get 150
Answer:
Sanjay will need to ride his bike to work for 4 weeks in order to ride 150 kilometers.
need help with this dividing whole numbers thing
Answers
Answer:
72 : n = 18. n x 18 = 72
n : 18 = 72. 72 x 18 = n
72 : 18 = n
Step-by-step explanation:
I need help asap!!
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answers
Similar triangles that have a scale ratio other than 1 are not congruent triangles.
The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]
The scale ratio is given as: 5 : 2
And the corresponding sides are given as:
AB and DE.BC and EF.CA and FD.The above highlights mean that,
[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]
Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]
Read more about similar triangles at:
https://brainly.com/question/14285697
Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .
2x^2 + 4x – 5 = 0
Answers
Answer:
[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]
Step-by-step explanation:
[tex]2x^2+4x-5=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]
[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]
[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]
[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]
[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]
[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]
how do you compute the area of the triangle
Answers
1/2 *b*h
or
bh/2
(b is base;H is height)
(PLS HELP) The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b=1.75t. At what rate does the candle burn, in inches per hour?
Answers
Answer:
candle burns 1 inch every 1 3/4 hours or 1 inch every 1 hour, 45 minutes
Step-by-step explanation:
Juhi had $350 more than Trent. After Juhi spent 50% of her money
and Trent spent 70% of his money, Juhi had $255 more than Trent
How much did Trent have at first?
Answers
Correct me if im wrong*-*
Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?
Answers
Answer:
See below
Step-by-step explanation:
When x=-1, y=5(-1)+3=-5+3=-2
When x=0, y=5(0)+3=0+3=3
When x=1, y=5(1)+3=5+3=8
When x=2, y=5(2)+3=10+3=13
When x=3, y=5(3)+3=13+3=16
Therefore, this is the correct table:
x -1 0 1 2 3
y -2 3 8 3 16
How to factor 10n^2 +n -3
and 2d^2=8de+6e^2
Answers
Answer:
(5+-1) (2+2
Step-by-step explanation:
What's the value of x?
Answers
Acoording to roman numerals,X is 10
how do you subtract -5000 from 263
Answers
Answer:
263-5000=4737
Step-by-step explanation:
IF ITS -5000-263
if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.
[-5000+(-263)=-5263]
IF ITS 263-(-5000)
do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.
[263+5000=5263]
Find the domain and range of this mapping diagram.
Answers
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
4:6 = 2:3, the answer is C
Step-by-step explanation:
they visited 4 museums as displayed on the bar and 6 beaches also presented on the bar, which would mean 4:6 and would simplify to 2:3
Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.
Answers
Answer:
x = -2, x = 2
Step-by-step explanation:
The denominator factors as ...
x^2 -4 = (x -2)(x +2)
The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.
Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?
Answers
Answer:
A'(-1, 2)
Step-by-step explanation:
Translation 1 right and 3 down is accomplished by the transformation ...
(x, y) ⇒ (x +1, y -3)
Rotation 180° is accomplished by ...
(x, y) ⇒ (-x, -y)
Then the composition of transformations gives ...
(x, y) ⇒ (-x -1, -y+3)
The transformed coordinates of A(0, 1) are ...
A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)
If x^2 - 6x +8=0, then x-4=0 or x-2=0.
Answers
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4
Use substitution to solve each system of equations.
=++=
Answers
Answer:
I can only see =++= so please repost your answer so i can edit my answer as well
Step-by-step explanation:
the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?
Answers
Answer: do 2/3 of 62, or 2/3 x 62
convert 2/3 to a decimal (0.666)
0.666x62 = 41.292
Step-by-step explanation:
