The corresponding angles of triangle ABC and its image are congruent
How to determine the relationship?The transformation rule is given as:
A rotation of 180 degrees about the origin
The rotation transformation is a rigid transformation.
This means that it does not alter the side lengths and the angle measure of the shape being rotated
Hence. the corresponding angles of triangle ABC and its image are congruent
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please help me out :(
Answer:
The correct answer is B.
Step-by-step explanation:
Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.
756 x 300??????? ?????????
Answer:
226,800
Step-by-step explanation:
Calculator
Answer:226,800
Step-by-step explanation:
Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.
Answer:
It is the longest side of a right triangle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
Combine the radicals 4√7+3√28.
Answer:
10√7
Step-by-step explanation:
[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]
Answer:
10√7
Step-by-step explanation:
To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).
4√7 + 3√28 <---- Original expression
4√7 + 3(√4 x √7) <---- Expand √28
4√7 + (3 x 2)√7 <----- Take √4
4√7 + 6√7 <---- Multiply coefficients
10√7 <---- Add both terms
Yuson must complete 15 hours of community sevice. She does 3 hours each day. Which linear equation represents the hours Yuson still has to work after x days?
A. Y=3x + 15
B. Y= -3x - 15
C. Y= -3x + 15
D. Y= 3x - 15
Answer:
C) y = -3x + 15
Step-by-step explanation:
Let's start with the hours required, 15. For each day worked we can subtract 3 hours. X days would mean 3x hours. Subtract that from the goal of 15 hours:
15 - 3x
The time remaining, y, is given by the equation 15 - 3x.
Rearrange the equation to match the format in the options,
y = 15 - 3x
y = -3x + 15
Option C
A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45
Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
Question 15 of 25
What is the value of x in the diagram below?
49
LY
14
2
V (x) = x(9-2x) (11-2x)
The expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
How to expand the expression?The missing information in the question is to express V(x) in standard form
We have:
V(x) = x(9-2x) (11-2x)
Open the brackets
V (x) = x(99 - 2x - 18x + 4x^2)
Evaluate the like terms
V (x) = x(99 - 20x + 4x^2)
Expand
V (x) = 99x - 20x^2 + 4x^3
Rewrite as:
V(x) = 4x^3 - 20x^2 + 99x
Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
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The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
$0
0
f(t) = $5
30 < 1 ≤ 90
$10
> 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.
How to explain the cost?In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes
When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.
Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.
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Which of the following best describes /JKL?
32°
L
K
The best statement that describes the angle JKL is inscribed angle.
What is an inscribed angle?An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.
The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.
The angle ∠JKL is not a vertical angle because it's not vertically opposite any angle.
The angle ∠JKL is not a central angle because it was not from from the centre of the circle.
The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.
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The spin and dine restaurants ice cream for dessert Chloe actually won a bet and gets to spin two spinners disliked one random flavor of ice cream and one random topping. A, how many different possible combinations can she spin. B what is the probability of spinning Chloe's preference vanilla ice cream with chocolate a rainbow sprinkles,
The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12
The missing part of the questionFlavor of ice cream: Vanilla, Strawberry, Chocolate
Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries
The number of different combinationsUsing the dataset above, we have:
Ice cream = 3
Topping = 4
The number of different combinations is calculated as:
Combination = ice cream * Topping
Evaluate
Combination = 3 * 4
Combination = 12
Hence, the number of different combinations is 12
The probability of spinning vanilla ice cream with chocolate a rainbow sprinklesThe vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.
So, the probability is:
P = 1/12
Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12
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If Anna divides the ingredients equally into 4 pots, how many cups of onions will she need in each pot?
Math!! finding volume of prisms
The volume of the rectangular prism will be 16.2 cubic ft.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,
then its volume is given as:
V = a x b x c unit^3
The dimensions of the given rectangular prism;
Length = 2.7ft
Width = 3 ft
Height = 2 ft
The volume of the rectangular prism
V = a x b x c unit^3
V = 2.7 x 3 x 2
V = 16.2 cubic ft
Hence, the volume of the rectangular prism will be 16.2 cubic ft.
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Could you help me find X,
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{4}{x}~~ = ~~\cfrac{x}{9}\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]
For 33 hours of work, you are paid $245.85. how much would you receive for 39 hours?
Answer:
$290.55
Step-by-step explanation:
We can use a ratio to solve
33 hours 39 hours
---------------- = -------------
245.85 x dollars
Using cross products
33 * x = 39* 245.85
33x=9588.15
Divide each side by 33
33x/33 = 9588.15-33
x =290.55
Please help i been asking since yesterday
Calculate the perimeter of the triangle for problems
B. Calculate the area of the triangle for problems
Answer:
To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
Answer:
1) 21.24cm
2)19.8ft
3)22.84mm [2.284cm]
Step-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
1) perimeter = 5.4+8.84+7
=> 5.4+8.84+7 = 21.24,
21.24cm
2) perimeter = 6.6 + 6.6 + 6.6 i.e 6.6* 3
=> 6.6 x 3 = 19.8
19.8ft
3) perimeter = 8.3 + 4.9 + 9.64
=> 8.3 + 4.9 + 9.64 = 22.84
22.84mm or 2.284cm
AREA
1) it's a right triangle,
=> Area of a right triangle = 1/2 × base × height.
=> here, base is a and height is b
=> a = 7, b = 5.4
=> now we multiply it,
=> 7*5.4 = 37.8
=> now multiply it with 1/2,
=> 1/2 x 37.8 = 37.8/2
=> 37.8/2 = 18.9
2) it's an equilateral triangle,
18.8620
the formula is √3 a^2/ 4
=> √3* 6.6^2/ 4
=> 75.4481/4 = 18.8620
3) 20.335
base = a = 8.3
height = b = 4.9
=> 8.3 * 4.9 = 40.68
=> 40.68/2 = 20.335
hope this helps:)
how do you stop a skunk from smelling?
Answer:
Hold its nose
Step-by-step explanation:
You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.
Select all the correct answers.
What are the solutions to this equation?
5 - √√(x² - 9) = 7
1
-√17
√17
There are no solutions.
-1
Find two integers whose sum is -5 andproduct is 4
Answer:
-1 and -4
Step-by-step explanation:
-1 + -4 = -5
-1 times -4 = 4
give brainiest please!
hope this helps ;)
In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the government worth $539,517. What was the combined total of their contracts?
The combined total of their contracts is $1,296,250
How to determine the combined total?The values of the contracts are given as:
Exxon Mobil= $756,733Aerospace = $539,517The combined total is represented as:
Total = Exxon Mobil + Aerospace
Substitute known values
Total = $756,733 + $539,517
Evaluate the sum
Total = $1,296,250
Hence, the combined total of their contracts is $1,296,250
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which is the graph of the linear inequality y < 3x + 1?
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
The attached graph represents the graph of the inequality
How to determine the graph of the inequality?The points on the line are given as:
(-3,-7) and (0,2)
Start by calculating the linear equation using:
[tex]y = \frac{y_2 -y_1}{x_2 -x_1}(x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{2 + 7}{0 + 3}(x -0) + 2[/tex]
Evaluate the fraction expression
y = 3(x -0) + 2
Evaluate the difference
y = 3x + 2
From the question, we understand that the line of the inequality is a dashed line and the left of the line is shaded.
This means that the inequality is greater than i.e. >
So, we have:
y > 3x + 2
See attachment for the graph of the inequality
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Please answer correctly.
Answer:
same thing for the rest, you just change the value of the radius according to the question
Step-by-step explanation:
area = pi * radius²
1)
a = pi * 10²
a = ~3.14 * 100
a = 314 mi²
The Transamerica Pyramid Building in San Francisco is 853 ft tall with a square base that is 149 ft on each side.
To the nearest thousand cubic feet, what is the volume of the Transamerica Pyramid?
PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls
Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.
Let x and y be directly related such that y = 9 when x = 3. Find y when x = 7.
Answer:
y=21
Step-by-step explanation:
y= 9 cos x =3 so y=3 when x=1 on the base level so if x=7 would be x=1 on the base level * 7 then y=3 on the base level * 7 would be y = 21
A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)
Answer:
D. 20 m
Step-by-step explanation:
The potential energy at Point B will be the sum of the potential and kinetic energies at point A.
__
energy formulasFor mass M, the potential energy at h meters above a rest height is ...
PE = Mgh
The kinetic energy of mass M with velocity v is ...
KE = 1/2Mv²
point A energyA pendulum with mass M launched downward at v = 14 m/s will have a total energy of ...
PE +KE = M(9.8 m/s²)(10 m) +1/2(M)(14 m/s)² = M(98 +98) = 196M J/kg
point B energyWhen the pendulum comes to rest at point B, its energy will all have been converted to potential energy. Then the height at point B is given by ...
PE = Mgh
196M J/kg = M(9.8 m/s²)h
h = (196M)/(9.8M) m = 20 m
The height of the mass at point B will be 20 meters.
Multiply.
(3x+2)(2x−5)
6x^2+4x−3
6x^2−10
6x^2−11x−10
6x^2−13x−3
Answer: Heyaa! ^^
Your Answer when multiplied is.. 6x²−11x−10
Step-by-step explanation:
6x^2−11x−10Expand the polynomial using the FOIL method.- FOIL EXPLANATION -
A handy way to remember how to multiply two binomials.It stands for "First, Outer, Inner, Last"
- It is the sum of: -· multiplying the First terms,
· multiplying the Outer terms,
· multiplying the Inner terms, and
· multiplying the Last terms
Hopefully this helps you! ~
What are the coordinates of the vertices of the image?
Translate the shape A four squares right and two squares down.
Answer:
see explanation
Step-by-step explanation:
a translation of 4 squares right means add 4 to the x- coordinate
a translation of 2 squares down means subtract 2 from the y- coordinate
then
(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )
(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )
(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )
A jazz concert brought in $153,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is
Answer:
the answr is 87 jistg ebcaujse
Step-by-step explanation:
3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.
Let x be the number of $15 tickets and y be the number of $25 tickets.
We know that:
x + y = 7,500 (the total number of tickets sold)
15x + 25y = 153,500 (the total amount of money made from ticket sales)
We can use the first equation to express y in terms of x:
y = 7,500 - x
We can substitute this expression of y into the second equation:
15x + 25(7,500 - x) = 153,500
Solving for x:
15x + 25(7,500) - 25x = 153,500
15x + 187500 - 25x = 153,500
-10x = -34,000
x = 3400
Therefore, 3,400 tickets were sold for $15 each and 7,500 - 3,500 = 4000 tickets were sold for $25 each.
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A baseball field is a square with sides of length 90 feet. What is the
shortest distance between first base and third base?
A.90
B.180 squared
C.90
D.16200 squared