In AFGH, the measure of CH=90°, GF =
25, HG = 24, and FH = 7. What is the
value of the cosine of LF to the nearest
hundredth?
Answers
Answer:
0.28
Step-by-step explanation:
From the below figure we can see
cos F = adjacent side / hypotenuse
= FH/GF
= 7/25
= 0.28
Related Questions
Write the equation of the line that passes through the points(-6,8)and(0,-3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line..
Answers
Remember, when you are calculating the slope from two given points, you are finding the change in y over the change in x.
P1 = ( x1, y1 )
P2 = ( x2, y2 )
m = Δy / Δx ---> m = (y2 - y1) / (x2 - x1)
Now let's assign the given points:
(-8, -6) --> x1 = - 8 & y1 = -6
(-4, 2) --> x2 = -4 & y2 = 2
Now, let's plug these values into the slope formula:
m = (y2 - y1) / (x2 - x1)
= (2 - (-6)) / ((-4) - (-8))
Let's simplify:
(2 - (-6)) / ((-4) - (-8))
= (8) / (4)
= 2
Therefore, the slope, or m, is 2.
Answer:
y-8= -11/6 (x+6)
Step-by-step explanation:
help me find the domain of
Answers
Please help asap! I will give brainliest for correct answer!
Answers
Answer:
0.01miles/day
Step-by-step explanation:
1: Convert 9cm to miles
[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]
2: Convert 5.5 minutes to days
[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]
3. Set miles over days
[tex]\frac{0.000055935miles}{0.003819444days}[/tex]
4: Divide to get the answer
0.014644 miles/day
5: Round to get the final answer
0.01 miles/day
Write an equation of the line with a slope of frac 3/4
and a y-intercept of -2.
Answers
Answer:
Equation: y = 3/4x -2
If two fair sided dice are rolled,how many total possible outcomes are in the sample space?
Answers
Answer:
36
Step-by-step explanation:
There are 6 possible outcomes on a single fair dice and there are two dice: 6 × 6 = 36. Hope this helps!
Answer: 36
Explanation:
There are 6 sides for either die, which leads to 6*6 = 36 outcomes with two dice. Think of a table with 6 rows and 6 columns. Each of the 36 inner cells represents a different dice sum.
How far is it around the perimeter of crater lake?
Answers
PROBLEM SOLVING A boat is traveling parallel to the shore along RT. When the
boat is at point R, the captain measures the angle to the lighthouse as 35º After the
boat has traveled 2.1 miles, the captain measures the angle to the lighthouse as 70°
Answers
The exterior angle theorem states that the sum of two opposite interior angles is equal to the measure of the exterior angle.
The distance SL= 5.77 miles between the boat and the lighthouse after travelling 2.1 miles
According to the conditions given in the problem the exterior angle is 70 degrees and one of the opposite interior angle is 35 degrees.
m∠ L + m∠R= 70°
m∠ L + 35° = 70°
m∠ L = 70°-35°
m∠ L = 35°
If one interior angle is 35 degrees the other must also be 35 degrees to make a total of 70 degrees.
The sum of all angles of the triangle is always equal to 180 degrees.
So the third angle of the triangle will be
180°= 35°+35°+m ∠S
m∠S= 110°
From the triangle
Angle theta= m∠S= 110°
Fy= SL= height
Fx= RS = base
F= RL= hypotenuse
The line SL has to be found out.
Let the Fx= 2.1 miles
Then
Fx= Fcos ∅
But Cos ∅ = Cos 110°= -0.342
2.1= F (-0.342)
F= - 6.140 = hypotenuse
Now the vertical component
Fy= Fsine theta
Fy= - 6.140 sine 110°
Fy= - 6.14×0.94
Fy= -5.77 miles
The negative sign indicates that it is in the opposite direction.
https://brainly.com/question/13729598
if x and y vary inversely and x=2.5 when y =100 find x when y=25
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Answer:
x is 10.
..............
Work out the nth term of the following sequence:
7, 16, 31, 52, 79
its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest
Answers
Answer:
Step-by-step explanation:
Since it is given that it is quadratic it is of the form f(n)=an^2 + bn+c.
Since we know a few terms we can plug in to get some equations:
f(1)= a +b+c = 7
f(2)=4a+2b+c = 16
f(3)=9a+3b+c = 31
Now you've got yourself a system of three equations which I trust you can solve.
I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).
Here are some nice explanations with the "real" math notation for a slightly different but related problem:
https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences
Good luck!
The total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Answers
Answer:
Step-by-step explanation:
6m+4a=46
Find the mean of the boys
Answers
Answer:
14 is the mean of boys
Step-by-step explanation:
how do i write it please and the answer
Answers
Answer:
8-9/16 or 7.4375.
Step-by-step explanation:
x=2 y=3/4
2*2*2=8
3/4*3/4=9/16
8-.5625=7.4375
What is the value of the x variable in the solution to the following system of equations?
2x - 3y = 3
5x - 4y = 4
Answers
Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
[tex]2x - 3y = 3[/tex] [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)[tex]2x = 3y + 3[/tex] [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
[tex]5x - 4y = 4[/tex] [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex] [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)[tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)[tex]\frac{7}{2}y = -\frac{7}{2}[/tex] [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)[tex]y = -1[/tex]Substitute -1 for y in x = 3/2(y) + 3/2
[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex] [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex] [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)[tex]x = 0[/tex]Therefore, the value of the x-variable is 0.
graph using the slop and y intercept
Answers
Answer:
the slop is -1/2 and they y intercept 2
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
Answers
Answer:
These are the answers
(-1,5)
(0,3)
(2,-1)
Step-by-step explanation:
Simplify:
-0.2sqrt(x^2)
Answers
Answer:
-0.2x
Step-by-step explanation:
-0.2*sqrt(x^2)
-0.2x
A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 inches.
What is the area of the composite figure?
Answers
Answer:
Step-by-step explanation:
Area of the semicircle = pi * r^2 / 2
d = 8
r = d/ 2
r = 8/2 = 4 inches
Area = pi * 4^2 / 2
Area = 3.14 * 8
Area = 25.12 square inches
Area of the triangle
Area = 1/2 * b * h
b = 8
h = 3
Area = 1/2 * 8 * 3
Area = 12 square inches
Total area = 25.12 + 12
Total area = 37.12 square inches
Find the perimeter of the rectangle with the given dimensions.
9. A = 56 m^2 , l = 8 m.
Answers
Answer:
length(l) is 8 m
area=56^2
l*b=56^2
8*b=56^2
b=56/8
hence,
breadth {width}(b) is 7 m
hence , perimeter is
2(l+b)
2(8+7)
2*15
30 cm
hence perimeter is 30 cm
It takes 10 seconds to move 1 centimeter. How long will it take the snail to move 2.5 centimeters
Answers
Answer:
25 sec
Step-by-step explanation:
2.5 cm is 2.5 times 1 cm, so it will take 2.5 times 10 seconds.
2.5 * 10 sec = 25 sec
The snail take 25 seconds to move 2.5 centimeters.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The snail take 10 seconds to move 1 centimeter distance.
Now,
For covering 2.5 centimeters , the time is calculated as;
Since,
The snail take 10 seconds to move 1 centimeter distance.
That is,
⇒ 1 centimeter = 10 seconds
Hence, For the distance 2.5 centimeter, the time is;
⇒ 1 centimeter = 10 seconds
⇒ 2.5 centimeter = 2.5 × 10 seconds
= 25 seconds.
Thus, The snail take 25 seconds to move 2.5 centimeters.
Learn more about the measurement units visit:
https://brainly.com/question/17037041
#SPJ5
The angles featured below are ______ angles
Answers
Answer:
its normall
Step-by-step explanation:
to write an equation of a line that is...
parallel to 2x - 4y = 8
and goes through the point (3, -2)
Answers
Answer:
x-2y=7 or y=[tex]\frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
Hi there!
We are given the line 2x-4y=8, and we want to write an equation of the line that is parallel to it and passes through (3, -2)
Parallel lines have the same slope, so it would be a good idea to find the slope of 2x-4y=8
The equation is currently written in standard form (ax+by=c), where a, b, and c are free integer coefficients, but a and b CANNOT be equal to 0, and a CANNOT be negative
In order to find the slope of the line, we can rewrite it in another form; for example, slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To rewrite the line in this way, we'll need to isolate y on one side.
So start by subtracting 2x from both sides
-4y=-2x+8
Divide both sides by -4
y=[tex]\frac{1}{2}x[/tex]-2
The slope of the line 1/2, as it's in the place of where m is.
It's also the slope of the line parallel to it.
We can write the equation of the new line in slope-intercept form. Here's what we know so far:
y=[tex]\frac{1}{2}x[/tex]+b (b is a placeholder for the y intercept)
So we'll need to find b.
As the equation passes through the point (3, -2), we can use it to solve for b
Substitute 3 as x and -2 as y:
-2=1/2(3)+b
Multiply
-2=3/2+b
Subtract 3/2 from both sides:
-7/2=b
Substitute -7/2 as b in the equation:
y=[tex]\frac{1}{2}x-\frac{7}{2}[/tex]
The equation can be left as that, or you can convert it back into standard form
Subtract [tex]\frac{1}{2}x[/tex] from both sides, as the variables are on one side.
[tex]-\frac{1}{2}x[/tex]+y=[tex]-\frac{7}{2}[/tex]
Remember that the coefficient in front of x (a) CANNOT be negative, and also the free coefficients a, b, and c CANNOT be fractions.
So in order to clear the fractions and to change the signs, multiply both sides by -2
x-2y=7
Hope this helps!
f(x)=12x to g(x) = 2x
Answers
Answer:
g(x)=12-x^2. g(x)=12−x2 g ( x ) = 12 - x 2
Step-by-step explanation:
your welcome
6. How many planes contain the given line and point?
a. DB and point A
b. BD and point E
C. AC and point D
d. EB and point C
Answers
Answer:
B. BD and point E
Step-by-step explanation:
BD and point E is the only choice with both of them lying on the plane, the others lie on other planes
anyone know if they can help me rq
Answers
We are given two equations, one of which has an isolated variable [tex]x[/tex].
That screams to me that substitution would be a prefered strategy here, compared to elimination, although both work.
That means we'll be substituting our value of [tex]x[/tex], which is given as [tex]-y+3[/tex], into the first equation, [tex]15x+31y=-3[/tex].
[tex]15x+31y=-3[/tex]
[tex]x=-y+3[/tex]
[tex]15(-y+3)+31y=-3[/tex]
[tex]-15y+45+31y=-3[/tex]
[tex]16y=-48[/tex]
[tex]y=-3[/tex]
With this value, we can plug it back into either of the two equations to solve for [tex]x[/tex], I'll be substituting it back into the second equation, since it's easier.
[tex]x=-y+3[/tex]
[tex]y=-3[/tex]
[tex]x=-(-3)+3[/tex]
[tex]x=6[/tex]
So our solution is [tex](6,-3)[/tex], and to check we can plug it back into the first equation.
[tex]15x+31y=-3[/tex]
[tex]15(6)+31(-3)=-3[/tex]
[tex]90-93=-3[/tex]
Which is true, so our solution is correct.
Hope this helps!
Answer:
Step-by-step explanation:
[tex]\begin{cases} 15x+31y=-3 \\\\ x=-y+3 \ \ | \times 15\end{cases} \Leftrightarrow \ominus\begin{cases} 15x+31y=-3 \\\\ 15x=-15y+45 \ \ \end{cases} \Leftrightarrow \\\\\\ 15x-15x+31y=-3-(-15y)-45 \\\\ 31y=15y-48 \\\\ 31y-15y=-48 \\\\ 16y=-48 \ \ |\div 16 \\\\ y=-3 \ \ ; \ \ x=-y+3=3+3=6 \\\\[/tex]
[tex]\huge \boldsymbol{\mathfrak {Unswer}}: x=6 \ \ ; \ \ y=-3[/tex]
The question is on the sheet...pls help!
Answers
Answer:
C
Step-by-step explanation:
CAN SMB PLS HELPPPP!!!! THIS DUE TONIGHT!!! REWARD: 30 POINTS
Answers
9514 1404 393
Answer:
x = 40
∠6 = 120
Step-by-step explanation:
This question has nothing to do with parallel lines.
Angles 5 and 6 form a linear pair, so are supplementary.
∠6 + ∠5 = 180°
3x +60 = 180
3x = 120 . . . . . . . . . subtract 60
x = 40 . . . . . . . . . . . divide by 3
Angle 6 is the supplement of angle 5 as shown above.
∠6 = 3x = 120
- The equilateral triangle and the rectangle have equal perimeters, measured in feet.
a. Find the value of x.
Answers
Answer:
x=
Step-by-step explanation:
Answer:
Do you have a picture that goes with the question that you can post?
Step-by-step explanation:
find the 125th term of the number pattern 2,4,6,8......
Answers
Answer: 250
Step-by-step explanation: 125*2 = 250
Over 5 days, Jaasiel practices soccer for a total of 3 hours. Jaasiel practices baseball for the same amount of time each day. If he practiced soccer and baseball for a total of 30 hours, how many hours per day did Jaasiel practice baseball? *
Answers
Answer:
3 HOURS
Step-by-step explanation:
HE PRACTICED 3 HOURS A DAY IN BOTH SPORTS MEANING IN 1 DAY HE PRACTICED A TOTAL OF 6 HOURS 6 HOURS A DAY FOR 5 DAYS IS EQUAL TO 30 HOURS OF PRACTICE A WEEK FOR BOTH SPORTS. SO 6 HOURS A DAY TOTAL AND 3 HOURS A DAY IF YOU ONLY COUNT 1 OF THE 2 SPORTS MENTIONED.
5. A fast food restaurant counted how many hamburgers they sold every day for 10 days. The first
day they counted 45. The next day they counted 52. The next 5 days they counted: 47, 60, 51, 49, and
48. Then, the last 3 days they counted: 53, 59, and 44
Answers
Answer:
Am unsure if you are asking for persons to add the given numbers of hamburgers sold each day. If so, The answer is below
Step-by-step explanation:
First you must add each amount that was sold each day
45524760514948535944After adding all these numbers above, The answer would be 508 burgers for the 10 days.
