Answer:
see explanation
Step-by-step explanation:
The sides of a 45- 45- 90 triangle are in the ratio 1 : 1 : [tex]\sqrt{2}[/tex]
where 1 , 1 are the legs and [tex]\sqrt{2}[/tex] the hypotenuse
If we let the ratio be a : a : [tex]\sqrt{2}[/tex] a , then
AT = AD = a = 10
DT = [tex]\sqrt{2}[/tex] a = 10[tex]\sqrt{2}[/tex]
Answer:
Step-by-step explanation:
The basic 45-45-90 triangle ratio is :
Side opposite to 45° angle: x
Side opposite to 45° angle: x
Side opposite to 90° angle: x√2
Ratios of sides of 45-45-90 triangle is x : x : x√2
Side opposite to ∠D which is 45° is : 10
AT = x = 10
Side opposite to ∠T which is 45° is : 10
AD = x = 10
Side opposite to ∠A which is 90° is : TD
TD = x√2 = 10*√2 = 10√2
Write each decimal as a fraction or mixed number in simplest form -0.4
Answer:
-2/5
Step-by-step explanation:
what is 15 out of 24 as a percent?
Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900
Answer: $1900
Step-by-step explanation:
Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).
So, if he take money remaining with him = x = $950
Amount of money he first had = 2x =$950×2 = $1900
I AM GIVING BRAINLISEST AND 20 POINTS! Write the equation of the circle in standard form.
Answer:
[tex](x-4)^2+(y)^2=9[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-n)^2+(y-m)^2=a[/tex]
This circle will have a radius of ([tex]\sqrt{a}[/tex]), moreover, this circle will have its center at point [tex](n,m)[/tex]. Please note that its center is shifted (n) units to the right of the origin, and (m) units up. Apply this knowledge to the given problem.
The circle in the given problem has its center at (4, 0). Therefore the following can be stated,
[tex]n=4\\\\m =0[/tex]
Since one knows the center of the circle is at (4, 0), and (the circle has (4, 3) on its circumference, the distance between the coordinates will produce the radius of the circle. The following formula can be used to find the distance between two points on a number line,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points one is trying to find the distance between. Substitute the given points into the formula and solve for the distance between them.
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
Simplify,
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
[tex]D=\sqrt{(0)^2+(3)^2}[/tex]
[tex]D=\sqrt{0+9}[/tex]
[tex]D=\sqrt{9}[/tex]
[tex]D=3[/tex]
The parameter (a) is equal to ([tex]D^2[/tex]) are per the format of the equation, thus one must do the following to find the value of (a):
[tex]a = D^2[/tex]
[tex]a=3^3[/tex]
[tex]a = 9[/tex]
Substitute all of the information into the general formula for the equation of a circle, then simplify,
[tex](x-n)^2+(y-m)^2=a[/tex]
[tex](x-4)^2+(y-0)^2=9[/tex]
[tex](x-4)^2+(y)^2=9[/tex]
Delta math need help
Answer:
2.6
Step-by-step explanation:
We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:
h^2 = a^2 + b^2
4^2 = 3^2 +b^2
16= 9 +b^2
16-9= b^2
7= b^2
(take square root in both sides)
b= 2.65
round to nearest 10th = 2.6
answer by Gauthmath
Answer:
Missing side is 2.6
3^2 + x^2 = 4^2
9 + x^2 = 16
-9 -9
x^2 = 7
([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]
x = 7
Find the approximation o the square root of 7 in fractions then carry out the long division.
Or
Approx. is 2 3/5 which equals 2 6/10 which equals 2.6
(06.05 MC)
A juice company did a survey among 100 customers to find their juice preferences. The customers
were asked about their preferences for apple or orange juices. Out of the total 35 people who liked
apple juice, eight also liked orange juice. There were 20 people who liked orange juice.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
(5 points)
Like apple juice
Do not like
apple juice
Total
A
B
с
Like orange juice
D
E
Do not like
orange juice
F
H
G
Total
I
Part B: What percentage of the survey respondents did not like either apple or orange juice? (3
points)
Part C: Do the survey results reveal a greater dislike for apple juice or orange juice? Justify your
answer. (2 points)
(10 points)
Answer:
Part A: A = 8
B = 20
C = 28
D = 35
E = 37
F = 72
G = 43
H = 57
I = 200
Part B: 18.5%
Part C:
D = People who do not like Orange Juice
B = People who do not like Apple Juice
I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.
D = 35
B = 20
So there is a greater dislike for Orange Juice.
Step-by-step explanation:
I need help finding the measures
Answer:
a = 50
b = 50
c = 80
d = 50
e = 130
Step-by-step explanation:
e = 180 - (25 + 25) {Angle sum property & It is an isosceles triangle}
= 180 - 50 = 130
a +e = 180 {Linear pair}
a + 130 = 180
a = 180 - 130
a = 50
d =a {Vertically opposite angles}
d = 50
c = 180 -(50+ 50 ) {Angle sum property & It is an isosceles triangle}
c = 180 -100
c = 80
a+b + c = 180 {Straight angles}
50 + b + 80 = 180
b + 130 = 180
b = 180 - 130
b = 50
The one-to-one functions g and h are defined as follows.
g={(-9, 2), (-1, -3), (2, 3), (9, 4)}
h(x) = 3x-4
Find the following.
g^-1 (2) =?
h^-1 (x) =?
(h • h^-1) (2) =?
Answer:
Hello,
Step-by-step explanation:
[tex]g(-9)=2\Longrightarrow\ g^{-1}(2)=-9\\\\y=h(x)=3x-4\\x=3y-4\\\\y=\dfrac{x+4}{3} \\\\h^{-1}(x)=\dfrac{x+4}{3}\\\\h(h^{-1}(x))=(h^{-1}o\ h)(x)=1_\pi(x) \ (identical\ permutation\ of\ plane) \\\\h(h^{-1}(2))=2[/tex]
¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2
Answer:
Hello,
m=2
(0,-3) True
(1,-1) True
(1.5,0) True
(-2,-2) False
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]
An airplane flies a distance of 800km from A to B. If its average speed is 600km/h, how long does it take to cover that distance?
Answer:
1 hour 33 minutes
Step-by-step explanation:
distance/speed= time
d =800/600
d=1.33
The aeroplane takes 1.33 hours to traverse a distance of 800 km.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: An airplane flies a distance of 800 km with an average speed of 600 km/h
Thus the time taken by the aeroplane to cover that distance is
t=800/600
t=4/3
t=1.33 hours
Hence, The aeroplane takes 1.33 hours to traverse a distance of 800 km.
Learn more about the speed of an object here:
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need help with this !!
Answer:
1
5
4
2
3
Step-by-step explanation:
1 combines the sets A and B. that symbol there stands for U like "union". so, all values of x, where x is either < 1 or >= 5.
2 is again a union. A and C are combined. C contains only one element : x=5.
3 is again a union. B and C are combined. but the element of C (x=5) is already part of B (x>=5), so the union does not change anything, the result is simply B again.
4 is doing a "cross section" between the sets A and B. only elements that are in both sets are in the result. but x < 1 and x >= 5 don't have any elements in common. so, the result is an empty set.
5 is again a cross section. the only shared element between B and C is x=5.
Select the correct answer from the drop-down menu.
A
The diagram shows a stage in the construction of a line perpendicular to GH through point A.
The next step in this construction is
Reset
Next
2021 Edmentum. All rights reserved.
The diagram is missing and so i have attached it.
Answer:
Next step is;
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
A perpendicular line is to be drawn to line GH through point A.
The steps are;
1. Identification of the two end points of the line which has been done.
2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.
3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.
4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.
This line is the perpendicular line to GH.
In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.
Answer:
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
If you can show the work please its due in 1 hour 15 points and marking brainliest.
Answer:
[tex]a) \: \: 7x[/tex]
[tex]b) \: \: 12 {x}^{2} - 5x[/tex]
[tex]c) \: \: - 3x + 4[/tex]
Step-by-step explanation:
[tex]a) \: \: 4x+7x−3x−x \\ 11x−3x−x \\ 8x−x \\ 7x[/tex]
[tex]b) \: \: 7 {x}^{2} −6x+5 {x}^{2} +x \\ 12 {x}^{2} −6x+x \\ 12 {x}^{2} - 5x[/tex]
[tex]c) \: \: 9−4x−5+x \\ −4x+4+x \\ −3x+4[/tex]
Hope it is helpful....Rewrite the fraction with the indicated denominator
Answer:
170
Step-by-step explanation:
17/7
Multiply the top and bottom by 10
17*10/ 7*10 =170/70
The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].
The given fraction is[tex]\frac{17}{7}[/tex].
Convert the fraction with a denominator of 70.
To do this, multiply the numerator and denominator by 10:
[tex]\frac{17}{7} \times \frac{10}{10}[/tex]
[tex]=\frac{17 \times 10}{7 \times 10}[/tex]
[tex]=\frac{170}{70}[/tex]
Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].
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Which of the following best describe(s) the slope of a linear function?
Select all that apply.
rise over run
run over rise
average rate of change
intersection with the y-axis
please help me is for my homework
Answer:
0.625
Step-by-step explanation:
:) i hope this helps.
solue for x
X(3 + X) = 3x + x²
Answer:
here,
3x-3x=
[tex] {x}^{2} - {x}^{2} [/tex]
x=0
Write in point-siope form, siope-intercept form, and standard form an equation that passes
through( - 1, 2) with slope 4.
Answer:
The forms are:
y - y1 = m(x - x1)y = mx + bax + by = cGiven:
m = 4Point (-1, 2)Use point slope form:
y - 2 = 4(x - (-1))y - 2 = 4(x + 1)Convert it to slope-intercept form:
y = 4x + 4 + 2y = 4x + 6Convert it to standard form:
4x - y = - 6The diameter of a circle is 7 m. Find its area to the nearest tenth.
Area = pi x r^2
R = 7/2 = 3.5
Area = 3.14 x 3.5^2
Area = 38.5 m^2
What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:
[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]
find the area of given figure
Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour
Answer:
We know he spent 5 sixths which is 50 minutes
Ten percent of 50 is 5
This means he spent 3 quarters of an hour in the office
Answer:
Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.
So, he spent 3/4 of an hour at the office but not in the waiting room.
Let me know if this helps!
A car accelerates from rest at 1.0 m/s2 for 20.0 seconds along a straight road. It then moves at a constant speed for half an hour. It then decelerates uniformly to a stop in 30.0 s. Find the total distance covered by the car.
HELP
Answer:
50m
Step-by-step explanation:
speed (m/s2) = distance (m) ÷ time (s)
distance = speed (m/s2) x time (s)
1x20 =20m.
30s = 30m because they do 1 meter per second (every second)
50m in total if not counting the constant for half a hour.
Please help explanation if possible
Answer:
see explanation
Step-by-step explanation:
He wants to buy at least 4 snacks , that is can be more than 4 , so
x + y ≥ 4
He only has $20 , thus total cost must be less than or equal to $20 , so
3x + 2y ≤ 20
if f(x) = 2x/2x+1 and g(x) = 1/2x+1, find f(x) / g(x)
Answer:
2x
Step-by-step explanation:
Just solve the function operation:
f/g=(2x/2x+1)/(1/2x+1) = 2x since (2x/1)/(2x+1/2x+1) simplifies to 2x/1 the answer is 2x
CAN A KIND SOUL PLEASE HELP ME OUT??!!!!!!!!!!!!!!
The translation (x, y)->(x + 10, y – 6) is applied to triangle ABC to create a new image triangle A’B’C’. Graph triangle A’B’C’ on the coordinate plane.
please show how you got it so I can see if the answer makes sense!!!!
Answer:
First find the coordinates of the vertices. A=(-8,8), B=(-8,3) and C=(-4, 4). Next apply transformation, A'=(2, 2), B=(2, - 3) and C=(6, - 2). Next map this and join them to get the required triangle
find tan(2x) if x=pi/3
Answer:
Wouldn't it be something along the lines of
0.03657034937430407
I used a calculator btw, but rounded for pi with 3.14159.
Step-by-step explanation:
Please answer this, Its due in a few minutes
Answer:
The final solution is 2.
y ÷ 2 + x ; use x = 1 and y = 2
(2) ÷ 2 + (1) -----> divide 2 by 2
1 + 1 ----> add the quotient of 2/2 to 1
2 ---> answer
Answer:
2
Step-by-step explanation:
(To make this easier I will put this in steps)
Step 1 : Substitute
As you can see we are given the amount the variable stands for so we can simply just substitute them out...
y / 2 + x OR 2 / 2 + 1
Step 2 : Solve
Now that there are no variables this should now be pretty simple to solve.
2/2 = 1 so...
1 + 1
Then you would add them and get 2
y / 2 + x = 2
Hope this helps :)
Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake
Answer:
The answer is "94.3".
Step-by-step explanation:
Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]
Calculating the total numbers of ill among them[tex]=50\\\\[/tex]
[tex]\therefore[/tex]
The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]
Cinco litros de agua se divide en cuatro partes iguales, me tomo 2 partes ¿Cuánto me queda?
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
5 ÷ 4 = 1 [tex]\frac{1}{4}[/tex]
1 [tex]\frac{1}{4}[/tex] × 2 = 2 [tex]\frac{2}{4}[/tex] = 2 [tex]\frac{1}{2}[/tex]
5 - 2 [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex]
respuesta: 2 [tex]\frac{1}{2}[/tex]
