Please help with this dilation
Answer:
k= 1/4 m=16
Step-by-step explanation:
7 over 28 is 1/4 and 4 times 4 is 16
The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.
Answer:
If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.
Step-by-step explanation:
In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.
We are given the sides of a triangle whose ratio is 3:4:5.
Considering the sides to be 3x,4x,5x.
Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.
We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.
So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.
Squaring the base side 4x, we get:
(4x)2=16x2 …….(1)
Similarly, squaring the height side 3x, we get:
(3x)2=9x2 …….(2)
Squaring the hypotenuse side 5x, and we get:
(5x)2=25x2 …….(3)
Taking the sum of (1) and (2):
16x2+9x2=25x2, which is equal to the equation (3).
That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.
Answer:
it is a right triangle
Step-by-step explanation:
If the triangle is a right triangle, it will meet the Pythagorean theorem
a^2 + b^2 = c^2
3^2+4^2 = 5^2
9+16=25
25=25
This is true so it is a right triangle
Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?
Find the area of the figure below, formed from a triangle and a parallelogram
Answer:
32 square millimeters
Step-by-step explanation:
Parallelogram area formula => B x h
Base = 6 mm
Height = 4 mm
Area = 24 mm^2
Triangle area formula B x h x 1/2
Base = 8 mm
Height = 2 mm
Area = 8 mm^2
Total area = 24 + 8 = 32 mm^2
The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
As per the given parallelogram and a triangle,
The bigger side of parallelogram = 6 + 2 = 8mm
Smaller side = 6mm
The perpendicular distance between the sides of the parallelogram = 4mm
The base of the triangle = 2mm
Height of triangle = 4 mm
Therefore, the complete area ⇒
(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²
Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".
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A group of 7 students went bowling. Each student rented bowling shoes for $x and spent $15 on snacks. A group of 6 adults also went bowling and paid twice as much to rent bowling shoes as each student. Each adult also spent $12.50 on snacks. If both groups spent the same total amount, what was the cost for each adult to rent bowling shoes?
Answer:
$3.52 (rounded to nearest penny)
Step-by-step explanation:
7x + 15(7) = 12(2x) + 12.5(6)
7x + 105 = 24x + 75
105 = 17x + 75
30 = 17x
1.76 = x
3.52 = 2x
The cost for each adult to rent bowling shoes is $12.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Group I:
Total students= 7
Rent of bowling= $x
Spent on snacks= $15
Then, total amount spent by 7 children = 7x+ 15(7)
Group II:
Total students= 6
Rent of bowling= $2x
Spent on snacks= $12.50
Then, total amount spent by 7 children = 6(2x)+ 6 (12.50)
So, If both groups spent the same total amount
7x+ 105= 12x + 75
12x- 7x = 105- 75
5x = 30
x= 6
Hence, the cost for each adult to rent bowling shoes is $12.
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y = –15x + 375.
Graph the linear equation.
Answer:
the required graph is in the attachment.
Step-by-step explanation:
Umm so I'm confused
The question says
5x - 2y = 24
x + 2y = 12
Answer:
Step-by-step explanation:
5x-2y=24
x+2y=12
add the two equations
(5x-2y)+(x+2y)=24+12
6x=36
x=6
Plug in x=6 into any of the two equations
5(6)-2y=24
30-2y=24
-6= -2y
y= 3
x=6
y=3
(6,3)
Solve this. c+5.96=6.76
Answer:
c=0.8
Step-by-step explanation:
Step 1: Subtract 5.96 from both sides.
c+5.96−5.96=6.76−5.96
c=0.8
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
A seat for all games,events,concerts,and performances cost $900 there are 48 events in total but Alex only attended 14 how much did he pay.
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:never touch
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
Which equation is correct?
792 × 5 = 700 × 5 + 90 × 5 + 2
792 × 5 = 700 + 90 × 5 + 2 × 5
792 × 5 = 700 × 5 + 90 × 5 + 2 × 5
792 × 5 = 7,000 × 5 + 900 × 5 + 20 × 5
Answer:
what's the correct number supposed too equal?
Answer:
I don't see a Solution to this equation
Rabbitton has 34 rabbits for every 8 gardens. Rabbit Ville has 48 rabbits for every 14 gardens. Which town has more rabbits per garden?
Rabbitton: 34 / 8 = 4 1/4
Rabbit Ville: 48 / 14 = 3 3/7
Rabbitton has more rabbits per garden
Alex and Maria went out for dinner. The bill was $25.80. They leave a 20% tip. How much of a tip will they leave?
Answer:
$5.16
Step-by-step explanation:
$25.80 x 20/100
Answer:
Step-by-step explanation:
Answer:
Tip Total: $ 5.16
Tip Each Person: $ 2.58
Total (Bill + Tip): $ 30.96
Total Each Person: $ 15.48
The Picture is attached below
Answer:
Step-by-step explanation:
Which expression represents the word phrase?
Drag an expression into each box to match each word phrase
the quotient of a number and 12
the sum of a number and 12
the difference between 12 and a number
12 - P
12 + p
p-12
p/12
12p
12/p
Answer:
The difference between 12 and a number ➜ 12 - p
The sum of a number and 12 ➜ 12 + p
The quotient of a number and 12 ➜ [tex]\frac{p}{12}[/tex]
The expression in the box for the quotient of a number and 12, the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
If x and y are the arbitrary numbers.
And sum of the numbers are x + y,
difference of the numbers are x - y and
quotient of number x and y is x/y.
Here we have the expression and their representation,
the quotient of a number and 12 = p/12
the sum of a number and 12 = p + 12
the difference between 12 and a number = p - 12.
Therefore the expression in the box for the quotient of a number and 12,
the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.
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Please help me!!
Find the absoutle value
7) /-5.5/
9) /14 1/3/ *1/3 is a fraction next to the the whole number 14*
6) /5 3/4 *3/4 is a fraction next to the whole number 5*
10) /-7.75/
14) 135.41
PLS WILL MARK BRAINLIST
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
help me please question in picture
Answer:
the answer is 3x as that is the slope
Answer:
3
Step-by-step explanation:
yeah < 3
grace read 4 days a this week. She reads 10 minutes each day. if her teacher wants her to read a total of 60 minutes, how many more minutes does grace need to still read?
Answer: 20 more minutes
Step-by-step explanation:
Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour
Grace needs 20 minutes more to read.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Grace read 4 days a this week.
In one day she read= 10 minutes
So, in 4 days she read = 4 x 10
= 40 minutes.
So, total time taken = 60 minutes.
Thus, she needs to read (60 - 40) = 20 minutes.
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Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
at least $600 to buy a new computer
Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.
For babysitting, he earns $12 per hour.
For working at the grocery store, he earns $8 per hour.
So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.
He needs to make at least $600 to buy a new computer.
Therefore, we can write the equation:
12x + 8x ≥ 600
Combine the like terms:
20x ≥ 600
Now, solve for x by dividing both sides of the inequality by 20:
x ≥ 600 / 20
x ≥ 30
Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
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Complete question:
"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"
Please help ….Simplify: V18x7
Answer:
The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1
Step-by-step explanation:
which of the following numbers closest to 6? 34, 37, 38, 33.
Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.
A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P
Answer:
A. 10A+10P+54
Step-by-step explanation:
18-3(8c+4)=-6(4c-1) show your work
Answer:
No solution
Step-by-step explanation:
Solve:
18 + -3(8c + 4) = -6(4c + -1)
Reorder the terms:
18 + -3(4 + 8c) = -6(4c + -1)
18 + (4 * -3 + 8c * -3) = -6(4c + -1)
18 + (-12 + -24c) = -6(4c + -1)
Combine like terms: 18 + -12 = 6
6 + -24c = -6(4c + -1)
Reorder the terms:
6 + -24c = -6(-1 + 4c)
6 + -24c = (-1 * -6 + 4c * -6)
6 + -24c = (6 + -24c)
Add '-6' to each side of the equation.
6 + -6 + -24c = 6 + -6 + -24c
Combine like terms: 6 + -6 = 0
0 + -24c = 6 + -6 + -24c
-24c = 6 + -6 + -24c
Combine like terms: 6 + -6 = 0
-24c = 0 + -24c
-24c = -24c
Add '24c' to each side of the equation.
-24c + 24c = -24c + 24c
Combine like terms: -24c + 24c = 0
0 = -24c + 24c
Combine like terms: -24c + 24c = 0
0 = 0
Solving
0 = 0
No Solution
(Hope this helps can I pls have brainlist (crown)☺️)
(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1
Answer:
Angle 2 = 120 degrees, Angle 1 = 60 degrees
Step-by-step explanation:
Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.
x+x+60=180
2x+60=180
2x=120
x=60
Angle 1 = 60
Angle 2 = 60+60=120
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
no need to explain just tell the answer
Answer: z = 18
Step-by-step explanation:
180 = 90 + (3z+4) + (2z-4)
z = 18
Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks
Answer:
66
Step-by-step explanation:
Multiplying 8 by 2 which gives you 16.
Then 16 Add 50 = 66
help me please.........
Answer:
the answer is 10,700 :)
Step-by-step explanation: