Answer:
the two triangles are congruent because they have the same sides and angles.
Answer:
Yes, they are congruent. Because the sides and the angles are the same.
Step-by-step explanation:
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula
Please show every step
Answer:
[tex]x=8,\:x=-3[/tex]
Step-by-step explanation:
[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]
[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]
The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?
Answer:
1.49216*10^8 km
Step-by-step explanation:
The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:
3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km
To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:
1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km
Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km
what kind of growth model (pattern) is showen in the table x 1, 2, 3, 4, 5 y 5, 25, 125 ,635 ,3,125
Answer:
x= AP, y= GP
Step-by-step explanation:
x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP
y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP
Answer:
x= AP, y= GP
Step-by-step explanation:
Find the surface area of the prism.
Answer:
78 square ft.
The answer is 75 ft
explanation
12ft x 2.5ft = 30ft
12ft x 2ft = 24ft
12ft x 1.5ft = 18ft
1.5ft x 2ft = 3ft
30 + 24 + 18 + 3 = 75
What is the value of x?
Answer:
x = 98
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 53+45
x = 98
Answer:
x°=98°
Step-by-step explanation:
Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.
x°=98°
What is the slope of the ramp shown in the diagram below?
Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
Learn more about Slope here :
https://brainly.com/question/3605446
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3x-2y=-4 can someone find the slope and y intercept for this? thank you.
Answer:
[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]
Step-by-step explanation:
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
Solve for x in the diagram below.
120°
3x
0
2=
Answer:
x=40
Step-by-step explanation:
The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.
120=3x
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
120/3=3x/3
120/3=x
40=x
x is equal to 40.
Answer:
40
Step-by-step explanation:
i had this a while ago
Need it for grade: What is X???
Answer:
x=6
Step-by-step explanation:
FG + GH = FH
4+x-3 = 2x-5
Combine terms
x+1 = 2x-5
Subtract x from each side
x+1-x = 2x-5-x
1 = x-5
Add 5 to each side
1+5 = x-5+5
6 =x
Answer:
x=6
Step-by-step explanation:
F G + G H = F H
4+x-3 = 2x-5
What expression represents 6 less than the quotient of a number and 4 is 15
the compounding of this question
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
[tex]\mathbf{7x^3+3.5x^2}[/tex];
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e
[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]
Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.
a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.
Answer:
Givens
The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.If a window has 2 meters side, how much would it cost? (A)Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)
If we paid 60 euros, the dimensions are (B)
[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
This is a simultaneous equation question.answer and steps plz.
Answer:
Number of 10 cent coins = 14
Number of 50 cent coins = 7
Step-by-step explanation:
Let the number of coins of 10 cents = a
and the number of coins of 50 cents = b
Total count of coins = 21
a + b = 21 ---------(1)
Value of 10 cent coins = $0.10
Value of a coins of 10 cents = 0.10a
Value of 50 cent coins = $0.50
Value of b coins of 50 cents = 0.50a
The value of these coins = $4.90
0.10a + 0.50b = 4.90
a + 5b = 49 --------(2)
By subtracting equation (1) from equation (2)
(a + 5b) - (a + b) = 49 - 21
4b = 28
b = 7
From equation (1),
a + 7 = 21
a = 21 - 7
a = 14
Therefore, number of 10 cents coins = 14
number of 50 cent coins = 7
The equation y-2=3(x+1) is written in point-slope form. What is the equation in slope-intercept form?
Our first step would be to distribute this 3 through the
parentheses to get 3x + 3 on the right side of the equation.
On the left bring down your y - 2 to get y - 2 = 3x + 3.
Next we would move the -2 to the right side of the
equation by adding 2 to both sides to get y = 3x + 5.
Now, this equation is written in slope-intercept form because
the y is by itself on the left side of the equation.
PLEASE HELP ME PLEASE AND THANK U
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
A store uses a 60% markup rate to sell items to its customers. If one item costs 12$ how much money the store will make on that item. And what is the selling of that item.
Answer:
12
Step-by-step explanation:
60% of $12
(60 × 20) ÷ 100 = 12
find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer
Answer:
2261.95
Step-by-step explanation:
A=2πrh+2πr2
Answer:
2261.9
Step-by-step explanation:
the other users answer was correct, but not with 1 decimal place
What is the square root of 1000
Answer:
31.6227766
Step-by-step explanation:
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12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is
Answer:
300 inches tall or a flat surface is the best way you could use it to be
Which of the following is an angle shown in the drawing?
Will mark as brainliest if correct. Please answer ASAP please.
Answer: All of them besides <AEB
Step-by-step explanation:
Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct
Archimedes drained the water in his tub. 62.562.562, point, 5 liters of water were drained each minute, and the tub was completely drained after 888 minutes.
Answer:
500 liters
Step-by-step explanation:
We want to find the total amount of water that was drained.
He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:
62.5 * 8 = 500 liters of water
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
12.5
its right
Step-by-step explanation:
Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2
Answer:
A is the answer
Step-by-step explanation:
5(2x+1)<10
10x+5<10
-5 -5
____________
10x<5
—— —-
10 10
———————-
x < 1/2
Answer:
a.x<1/2
Step-by-step explanation:
5(2x+1)<10
2x+1< 5/10
2x+1<2
2x<2−1
2x<1
x< 1/2
mark brianliest if my answer suit your question
76 deliveries in 4 hours
= [ deliveries per hour
Answer: 17.75 deliveries made per hour
Step-by-step explanation:
71/4 = how many deliveries made per hour.
from this equation, y=12x+1, which of these are true?
the slope is 12
the x intercept is 1
the slope is 1
the y intercept is 12
Answer:
the slope is 12
Step-by-step explanation:
y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.
Since 12 has replaced m, it is the slope.
Since 1 has replaced b, it is the y-intercept.
"the slope is 12" is the correct answer choice.
What is the value of f(x) = 2.2 for f(-2)?
here is your ansewewrew
