Answer:
No, this isn't a right triangle.
Step-by-step explanation:
To check if the triangle is right we can use Pythagorean Theorem. If the equation turns out as true, the triangle is right.
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
The longest side in a right triangle is always hypotenuse, therefore we use the side which is 13 cm long as hypotenuse.
[tex]c^2 = a^2 + b^2\\13^2 = 4^2 + 12^2\\169 = 16 + 144\\169 = 160[/tex]
Number 169 isn't equal to 160 so the equation is false. That means that the triangle is not right.
Grady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence
Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The midpoint of a segment is the mean of the coordinates of the endpoints, hence:
[tex]3.5 = \frac{x + 8}{2}[/tex]
x + 8 = 7
x = -1.
[tex]-1 = \frac{y + 5}{2}[/tex]
y + 5 = -2.
y = -7.
The coordinates of the other end of the fence are (-1,-7).
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What is the answer please?
Answer: B (middle option)
Congruent; a counterclockwise rotation of 90° followed by a translation
Step-by-step explanation:
Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.
Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field
The equation that represents the total area of the blueberry field will be y = 84x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Six workers are hired to harvest blueberries from a field.
Each is given a plot with an area of 84 square ft.
Then the equation that represents the total area of the blueberry field will be
Let x be the number of workers and y be the total area field. Then we have
y = 84x
Then the area of the total field will be
y = 84 (6)
y = 504 square ft
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2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.
Answer: y=108
Step-by-step explanation:
Answer:
k = 4.5
y = 4.5x
Step-by-step explanation:
Finding the variation constant, k :
k = y/xk = 9/2k = 4.5Equation of variation :
y = kxy = 4.5xwhich statement about a parallelogram is true?
some parallelograms have side lengths that are all different
all parallelograms have opposite sides that are parallel.
all parallelograms have 4 square corners
some parallelograms have more than 4 sides
giving brainiest
Step-by-step explanation:
all parallelograms have opposite sides that are parallel.
that is the only true statement.
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
Which is following answer is the correct hypotenuse?
Answer:
(c) x = 15.26
Step-by-step explanation:
a² + b² = c²
8² + 13² = c²
64 + 169 = c²
c² = 233
c = 233 ½
c = 15.26
if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?
10. BRO SOMEONE HELP ME IM STUCK ON THIS
A number is given three successive discounts of 20%, 25% and 20%; Three successive increases of 20%, 25% and 20% are made to the resulting number, resulting in a number that differs from the original by 408 units. Calculate the original number.
Answer:
3000
Step-by-step explanation:
The multiplier associated with each percentage change (p) is (1 +p). We can use this fact to relate the original number to the modified number.
__
discounted numberLet x represent the original number. Then the discounted number is ...
x(1 -20%)(1 -25%)(1 -20%) = x(0.8)(0.75)(0.8) = 0.48x
increased numberAfter those discounts, the increased number is ...
(0.48x)(1 +20%)(1 +25%)(1 +20%) = (0.48x)(1.2)(1.25)(1.2) = 0.864x
differenceThe difference from the original is ...
x - 0.864x = 408
0.136x = 408 . . . . simplify
x = 3000 . . . . . . . divide by the coefficient of x
The original number was 3000.
What is the factored form of x²y³ - 2y³ - 2x² + 4?
y³ (x² − 2) +2 (-x² + 2)
Answer:The third option is correct
Step-by-step explanation:
Answer:
(y³ - 2) (x² - 2).
Step-by-step explanation:
x²y³ - 2y³ - 2x² + 4
= y³ (x² - 2) - 2(x² - 2)
(x² - 2) is common to both parts so we have:
(y³ - 2) (x² - 2)
the volume of the cylinder is 225π and the height is 27cm what is the radius of the cylinder
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]
Write 75 as a product of primes. Use index notation when giving your answer.
Answer:
3 times 5 times 5
Jordan fills several bags of oranges . This line plot shows the wait of each bag.
How many more pounds does one of the heaviest bags weigh more than one of the lightest bags.
Enter your answer as a fraction in simplest form by filling the boxes.
Answer: 1 1/8 or 9/8
Step-by-step explanation:
5 1/2-4 3/8= 1/ 1/8
What is the prime factorization of 120?
Answer:
2 to the power of three × 3 × 5
Step-by-step explanation:
Find the area of the figure. Show work and explain please.
Answer:
464 units²
Explanation:
Part A
Length × Width = 8 × 16 = 128 units²
Part B
Length × Width = 24 × 8 = 192 units²
Part C
Length × Width = 12 × 4 = 48 units²
Part D
Length × Width = 24 × 4 = 96 units²
Total Area: 128 + 192 + 48 + 96 = 464 units²
Answer:
464 units²
Step-by-step explanation:
The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.
(see attached diagram)
Total area of the rectangle = width × length
= 24 × (16 + 4 + 4)
= 24 × 24 ← the shape is actually a square!
= 576 units²
Missing Area 1
Top left square = 8 × 8
= 64 units²
Missing Area 2
Bottom right rectangle = 4 × 12
= 48 units²
Total area = area of rectangle - missing area 1 - missing area 2
= 576 - 64 - 48
= 512 - 48
= 464 units²
Eric and bianca are drawing a model of a city park in the cordinate
For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
What is a Coordinate system?In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the position of any given points.
Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
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Answer:
Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .
Bianca is correct.
Step-by-step explanation:
Hope this helps.
Does anybody know this? Find the value of y and z
Answer:
z = 70 (Since it is a straight angle)
y = 110 (y = 180 - z)
Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
The y-intercept is the coordinate point where x = 0. For the log function;
f(x) = log(x - 5)
If y = 0
0 = log(x-5)
x - 5 = 10^0
x - 5 = 1
x = 6
Hence the x-intercept is at (6, 0)
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
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help me pease it my end of the year grade
Answer:
3k+1
Step-by-step explanation:
Answer:
The correct answer is 3k + 1
Step-by-step explanation:
Hope this helps:) Goodluck!
Find the surface area of the figure below:
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns
A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?
Answer:
It is 15 m long.
Step-by-step explanation:
Given
width (b) = 20 m
Area of the floor (A) = 300 m^2
Length (L) = ?
we know
A = L * b
300 = L * 20
L = 15 m
Hope it will help :)
find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet
Answer:
The answer to this is 1,256
The graph shows how the annual budget for a company is divided by department. Use this graph to answer the questions below
Answer: a) the answer is engineering
Step-by-step explanation:
because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees
inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answer:
168
Step-by-step explanation:
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is
P(not A)?
8/9
2/3
1/3
1/9
The probability of the spinner not occurring A will be 8/9. Then the correct option is A.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.
Then the probability of not occurring A will be
The total event will be
Total events = 9 {A, B, C, D, E, F, G, H, I}
The favorable event will be
Favorable events = 8 {B, C, D, E, F, G, H, I}
Then the probability will be
P = 8/9
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You chose an EXPONENTIAL model with the equation:
y=4.04·0.56x
In the context of the tennis balls:
(1) What does 4.04 mean?
(2) What does 0.56 mean?
Equation: y = 4.04·0.56^x
(1) What does 4.04 mean?Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)
(2) What does 0.56 mean?Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)
Extra's :x represents the unit of measure of bounces.
General equation
y=ab^x#1
Here
a is 4.04So it represents the initial value where x is 0 as any number⁰ is 1#2
0.56 is bit's the rate of change with respect to xNEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK
Answer:
i thing it is 2，if i wrong so sorry
A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.
Answer:
$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
seams very unrealistic lol
Answer:$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million