Answer:
a) 4 cm, 5 cm, 7 cm
Step-by-step explanation:
The statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is only true for triangle rectangles.
To find a counter example, we can try with the options and see which one works as a counterexample:
a) 4 cm, 5 cm, 7 cm
The longest side is 7cm, then the statement says that:
4^2 + 5^2 = 7^2
16 + 25 = 51
while 7^2 = 49
Then for this particular set of sides, the statement is false.
So we already found the counter example, because:
4^2 + 5^2 ≠ 7^2
The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;
Option A; 4 cm, 5 cm, 7 cm
To answer this question, let us look at each option;
Option A; 4 cm, 5 cm, 7 cm
Thus; 4² + 5² = 51 and 7² = 49
Since the sum of the square of the two shorter sides is not equal to the square of the longest side, then this proves the statement is false.
Option B; 5 cm. 12 cm 13 cm
Thus; 5² + 12² = 169 and 13² = 169
Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.
Option C; 3 cm, 4 cm, 5 cm
Thus; 3² + 4² = 25 and 5² = 25
Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.
Option D; 9 cm, 12 cm, 15 cm
Thus; 9² + 12² = 225 and 15² = 225
Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.
Read more at; https://brainly.com/question/16175002
Look at the multiples of four that have an even number in the tens place. What value do they have in the one's place do you think this pattern? Would continue with multiples of four that larger than 100?
The multiples of 4 in the tens place are:
12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, . . .
The ones with even number in the tens place are:
20, 24, 28, 40, 44, 48, 60, 64, 68, 80, 84, 88, ...
In the ones value we see the pattern 0, 4, 8
Repeating itself.
And if you should continue for multiples of 4 greater than 100, this pattern will still continue.
Question is in image
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = - \frac{1}{4} x + 4 \\ [/tex]
Multiply sides by 4
[tex]4 \times y = 4 \times ( - \frac{1}{4} x + 4) \\ [/tex]
[tex]4y = 4 \times ( - \frac{1}{4} x) + 4 \times 4 \\ [/tex]
[tex]4y = - x + 16[/tex]
Add sides x
[tex] + x + 4y = + x - x + 16[/tex]
[tex]x + 4y = 16[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table. Number Cube Number Observed Frequency 1 18 2 16 3 24 4 26 5 16 6 20 How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?
Answer:
A
Step-by-step explanation:
I just took this on edge
You start hiking at an elevation that is 550 meters below sea level. You increase your elevation by 45 meters. What is the new elevation? Write an addition expression and solve
Answer:505 meters
Step-by-step explanation: 550-45=505
Marking brainlesss!!!
Answer:
7/22 are other cupcakes so the answer is b
Step-by-step explanation:
7/22
Answer:
C I think
Step-by-step explanation:
Turned all the denominators into 12. Added it and got 10. Multiplied it by 4. Made 40. 8 are remaining.
Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is $.50. Write and solve a linear equation to find out how many rides he can go on.
Answer:
Evan can go on 30 rides (based on the assumption that Evan's parent gave him $20)
Step-by-step explanation:
Given that:
The admission to the fair = $5
The cost per ride = $0.50
Let assume that the number of ride Evan can go = x
So if The cost per ride = $0.50
x ride = $0.50x
We are not told that he is given money by anybody, but let assume his parent gave him $20,
Then, if Evan pays $5 for admission into the fair. Then he will have $(20-5) = $15 left
The relation expressing how many rides Evan can go is:
0.5x = 15
Since the cost per ride = $0.5
x rides cost $15/0.5
x = 15/0.5
x = 30
Hence, Evan can go on 30 rides
what is the slope of the line thru (-9,6) and (-6,-9) ??
Answer:
-5
Step-by-step explanation:
Answer:
−5
Step-by-step explanation:
My book is 79 pages. I have been reading 10 pages each day. There are 9 pages left to read. How many days have I been reading the book? Draw a model to show your thinking. Justify your answer.
Answer:
7 days
Step-by-step explanation:
If there are 9 pages left, that means you have already read 70 pages.
Since you read 10 pages a day, we can find how many days you have been reading the book by dividing 70 by 10:
70/10
= 7
This means you have been reading the book for 7 days
Answer:
7 days
Step-by-step explanation:
With 9 pages left take 79-9 to get 70 pages.
70 pages at 10 pages a day is 70/10 and you get 7 or 7 days.
A block of cheese has a volume of 189 cm3 and a mass of 150 g.
What is the density of the cheese in g/cm3 rounded to 2 decimal places?
ill do u brainlist who ever answers first
Find the 74th term of the arithmetic sequence 19,26,33
5(x-4)=15
find out what x is
Answer:
7
Step-by-step explanation:
7-4=3
5×3=15
plz mark brainliest
Answer:
x=7
Step-by-step explanation:
-5*(x-4)-(-15)=0
(0 - 5 • (x - 4)) - -15 = 0
35 - 5x = -5 • (x - 7)
-5 • (x - 7) = 0
Solve : x-7 = 0
Add 7 to both sides of the equation :
x = 7
A rectangle has an area of 35 3 5 meter and a width of 78 7 8 meter. What is its length? 35×78 3 5 × 7 8 Yes No B Greg wants to divide a 712 7 12 of a yard length of ribbon into pieces that are 14 1 4 of a yard long. How many pieces can he make? How many pieces can he make? 14×712 1 4 × 7 12 Yes No C Olivia has 23 2 3 of an hour to write thank you notes. It takes her 112 1 12 of an hour per thank you note. How many can she write? 23×121 2 3 × 12 1 Yes No D A recipe requires 13 1 3 of a cup of nuts. Jim has 14 1 4 of a cup of nuts. How much of the recipe can he make? 14×31 1 4 × 3 1 Yes No Please double-check all your answers before continuing. You will need to enter them all again if any are incorrect.
Question is not very clear, however answers will reflect numbers seen(with some assumptions since some questions are not entirely complete)
Answer and explanation:
1. If a rectangle has an area of 35 meters and width of 78 meters, what is the length
Given that area of rectangle is length *width
Let's call length x
We have the equation
78*x=35
78x=35/78
x= 0.449
Therefore length =0.449 meters
2. Greg wants to divide a 712 yard long ribbon into pieces of 14 yard long each.
How many pieces can he make?
Let's assume the ribbon is a square then it's area is 712*712= 506944
To find number of 14 yard long pieces from the 712 yard long ribbon, we first find area for 14 yard long ribbons= 14*14= 196
number of 14 yard long pieces from the 712 yard long ribbon= 506944/196
= 2586.449 pieces
3. Olivia has 23 minutes an hour to write thank you notes. It takes her 12 minutes of an hour per thank you note. How many can she write?
Since it takes Olivia 12 minutes to write thank you notes but she has 23 minutes to write one, in one hour(1 hour =60minutes) she would be able to write
60 minutes /12 minutes = 5 thank you notes instead of
60 minutes /23 minutes= 2.609 or 2 thank you notes
4. Jim has 14 cups of nuts. How much of the recipe can he make?
If recipe requires 7 cups of nuts for instance, Jim would be able to make 14/7 = 2 of the recipe
The gross domestic product (GDP) of France is about $2.00 × 10 12 12 , and the GDP of Tuvalu is about $4.00 × 10 7 7 . How many times larger is the GDP of France than the GDP of Tuvalu?
Answer:
France's GDP is 50 000 times larger than Tuvalu's GDP.
Step-by-step explanation:
Given: Gross Domestic Product (GDP) of France = $2.0 x [tex]10^{12}[/tex]
Gross Domestic Product (GDP) of Tuvalu = $4.0 x [tex]10^{7}[/tex]
To determine the number of times in which the GDP of France is greater than that of Tuvalu, divide the GDP of France by the GDP of Tuvalu.
[tex]\frac{2.0*10^{12} }{4.0*10^{7} }[/tex] = [tex]\frac{2000000000000}{40000000}[/tex]
= [tex]\frac{200000}{4}[/tex]
= 50000
Therefore, France's GDP is 50 000 times larger than Tuvalu's GDP.
What is 19 divided by 20 using long division & decimals?
Answer:
0.95
(Don't have paper, because I accidentally threw away paper )
27.12-(4.8 exponent 2 - 2×2)
Answer please.
Answer: 8.08
Step-by-step explanation:
Need Answer ASAP ONLY 5 min.
Answer:
b is your answer hope it helps
Which ordered pair would form a proportional relationship with the point graphed below?
(10, 10)
o (26,36)
(70, 60)
(90, 60)
Answer:
90,60
Step-by-step explanation:
its the only point the line crosses on the graph
Answer:
D: 90, 60
Explanation:
I looked at the graph and that point was on the plotted line
please help quickly with this
Answer:
x=574
Step-by-step explanation:
it says that on my caculater.
Noa was paid a 25 percent commission for selling a used car.
If she was paid $1,631.24, what was the selling price of the car?
$4,078.10
$6,524.96
$8,156.20
$40,781.00
Answer:
the answer is 6,524.96
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
plssss help me ASAPPPPO
Answer:
x= 20........…….......
Four times the sum of x and 5
Answer:
4x+20
Step-by-step explanation:
Responder:
4x + 20
Explicación paso a paso:
Espero q te aya ayudado
help me please with my algebra
Answer:
y - 3 = -3 ( x - 7 )
Step-by-step explanation:
→ It is true for all values as you substitute in the x value and get the y as the output
For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
Answer:
[tex]\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Step-by-step explanation:
[tex]f(x)=4x+1[/tex]
[tex]g\left(x\right)=x^2\:-\:5[/tex]
As
(g/f)(x) = g(x) / f(x)
[tex]=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:[/tex]
[tex]=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}[/tex]
[tex]=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}[/tex]
[tex]=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Therefore,
[tex]\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels? ( Round your answer to the nearest whole number )
Answer:
$3
Step-by-step explanation:
$9.25/2.8
= $3.3035714285
= $3 (rounded to the nearest whole number)
Hope this helped!
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
Answer: 13/20
Step-by-step explanation:2 1/4 - 1 3/5 = 13/20
Answer:
13/20
Step-by-step explanation:
A golf ball is hit with an initial velocity of 80 ft/sec.Use the equation h(t)=80t-16t^2 where h(t) is the height of the object in feet and t is the time in seconds. How long will it take for the ball to hit the ground?
Answer:
The ball takes 5 seconds to hit the ground
Step-by-step explanation:
The equation to model the height of a golf ball in time t is:
[tex]h(t)=80t-16t^2[/tex]
There are two moments when the height is zero: At launch time and when it hits the ground. To find the last time, we equate:
[tex]80t-16t^2=0[/tex]
Factoring out t:
[tex]t(80-16t)=0[/tex]
It gives us two solutions:
t=0
[tex]80-16t=0[/tex]
Solving:
[tex]-16t=-80[/tex]
[tex]t=-80/(-16)=5[/tex]
t = 5 sec
Thus, the ball takes 5 seconds to hit the ground
Simplify this expression using the distributive property
Answer:
When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.
Step-by-step explanation:
[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]
The Distributive Property states that
[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]
[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.
Example:
[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]
[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]
[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]
[tex]\rm{Have\;a\;great\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
5, 18, 6, 18, 13 WHATS THE MEAN ABSOLUTE DEVIATION??
Answer:
5
Step-by-step explanation:
1. Use pictures or words to
describe a combination of
coins you could use to make
$3.85?
Pls help and it’s Canadian money
Answer:
Step-by-step explanation:
Good thing you said it was Canadian Money. Pennies are gone and loonies and toonies are used.
1 Toonie = $2.00
1 Loonie = $1.00
3 quarters= .75
2 dime .10
3.85
4x + 1 = 2x-5 helppppppppppppp hurryyyyyyyy
Answer:
x = -3
Step-by-step explanation:
Hope this helped!