CAN SOME HELP PLS I NEED HELP PASSING PYTHAGOREAN THEOREM
Answer:
Step-by-step explanation:
[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
not possible because the area of a square is always a square of it's length and a square cannot be a prime number
Answer:
No
Step-by-step explanation:
Because the area of a square is always a square of its length and a square can't be prime.
4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, and 3. A player randomly selects one marble and one cube. What are all the outcomes? How large is the sample space? possible
Answer:
Here is the sample space, its size is 4*3 = 12:
Black 1Black 2Black 3Blue 1Blue 2Blue 3Yellow 1Yellow 2Yellow 3Red 1Red 2Red 3Answer:
According to your question :-
four marbles 3 cubesfour marbles :-
black blueyellow redcubes numbered as :-
123_______________________
outcomes :-
At black ..
Black 1Black 2Black 3At blue ..
Blue 1Blue 2Blue 3At yellow ..
Yellow 1Yellow 2Yellow 3At red ..
Red 1Red 2 Red 3________________________
Size ...
4 X 3 = 12 size,,
hopes its helps you.
simplify each radical expression pleaseeee help i haven’t done algebra in 2 years
Answer:
4. 12√3
5. -35√2
6. 5√2/2
Step-by-step explanation:
4. 3√12+2√27
= 3√(4×3) + 2√(9×3)
= 6√3+6√3
= 12√3
5. 5√8-9√50
= 5×2√2-9×5√2
= 10√2-45√2
= -35√2
6. 5/√2
= 5×√2/(√2×√2)
= 5√2/2
Answered by GAUTHMATH
Identify the sequence that lists the sides of △MNO in order from shortest to longest.
Answer:
MO, NO, MN
Step-by-step explanation:
First, we can identify this triangle as a right triangle, as given by the square next to the O. Next, we know that a right angle is equal to 90 degrees, and the sum of the angles of a triangle is equal to 180 degrees.
Therefore,
∠M + ∠O + ∠N (the angles of the triangle) = 180
49 + 90 + ∠N = 180
139 + ∠N = 180
subtract both sides by 139 to isolate the variable
∠N = 41
Therefore, ∠N is 41 degrees.
In a triangle, given the angles, we know that the side opposite the smallest angle is the side with the smallest length and so on.
Our angle lengths are
41, 49, and 90 degrees in order.
Therefore, the side opposite the largest angle (90 degrees, or ∠O) is the longest side. This is MN. Similarly, ∠N is the smallest angle, and the side opposite of that (MO) is the shortest side. This leaves NO to be in the middle
Select THREE expressions that are equivalent to -16x - 68.
A. -4(4x - 17)
B. -2(8x + 34)
C. 2( - 8x - 34)
D. 4( - 4x - 17)
E. 8( - 2x - 8)
got it wrong the first time :(
Answer:
b, c, d
Step-by-step explanation:
Simplify 7t · s · 3rt.
Answer:
21 s t^2
Step-by-step explanation:
7t · s · 3rt
Multiply the coefficients
7*3 =21
t*t = t^2
s
Multiply back together
21 s t^2
plz plz plz help me solving this question
Perimeter: 19 cm ( I added 5.5+7.5+6)
The length of each side of the square: 8 cm
We know that the area is 64 cm2
A=a*a (length times length) We get 8 (because we know the times tables)
Volume: 100
Answer:
3.950121805833336 ≈ 4 m
Step-by-step explanation:
The area of a circle is calculated using this formula: A= πr². Since we know the area of the circle is 154 we have all the values we need to solve this problem.
154 = πr²
√154 = πr
12.40967... = πr
12.40967.../π = r
3.950121805833336 = r
3.950121805833336 ≈ 4 meters
Sequence Problem Below
Answer:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}[/tex]
Step-by-step explanation:
[tex]\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}} \\\\\\S_n=7n-2n^2 \ \ \ \ then \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4[/tex]
Question 13 (5 points)
m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.
Answer:
x=19°
Step-by-step explanation:
Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.
Right angles always add up to 90°.
So, Angle 1 add Angle 2 equals 90°.
4x+9+x-14=90°
Collect the like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
9-14= -5
Form an equation:
5x-5=90°
Do inverse operations to isolate x.
90+5=95°
95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).
So, x=19°
Hope this helps :)
Goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In
Answer:
g = At/60
Step-by-step explanation:
A = 60(g/t)
To solve for 'g'
Open the bracket
A = 60g/t
Multiply both sides by t
At = 60g
Divide both sides by 60
At/60 = 60g/60
At/60 = g
5x(2x-y) -3y(2+3x) expand and simplify
Answer:
10x² - 14xy -6y
Step-by-step explanation:
5x(2x-y)-3y(2+3x)
10x²-5xy-6y-9xy
10x² - 14xy - 6y
Choose the best answer that represents the property used to rewrite the
expression.
log root(12, 125x ^ 3) = 1/4 * log 5x
Answer:
commutative properties
Find the length of PR from the given figure ( step by step ).
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR = [tex]\sqrt{1521}[/tex] = 39
Answer:
[tex]PR=39[/tex]
Step-by-step explanation:
The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+b^2=c^2[/tex]
[tex]PQ^2+PR^2=QR^2[/tex]
[tex]80^2+PR^2=89^2\\[/tex]
Simplify,
[tex]80^2+PR^2=89^2\\[/tex]
[tex]6400+PR^2=7921[/tex]
Inverse operations,
[tex]6400+PR^2=7921[/tex]
[tex]PR^2=1521\\\\PR=39[/tex]
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answer:
b
Step-by-step explanation:
i had it
Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^4 +5x2 +4
Answer:
(x-5)(x+2)(x+4)
Step-by-step explanation:
I just did It
Write a function rule for the table. (Help please)
is it a,b,c or d
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is . 43. Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Answer:
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they order a nonalcoholic beverage, or they order an alcoholic beverage. The probability of a customer ordering a nonalcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.43.
This means that [tex]p = 0.43[/tex]
Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
This is:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.43)^{0}.(0.57)^{7} = 0.0195[/tex]
[tex]P(X = 1) = C_{7,1}.(0.43)^{1}.(0.57)^{6} = 0.1032[/tex]
[tex]P(X = 2) = C_{7,2}.(0.43)^{2}.(0.57)^{5} = 0.2336[/tex]
[tex]P(X = 3) = C_{7,3}.(0.43)^{3}.(0.57)^{4} = 0.2937[/tex]
[tex]P(X = 4) = C_{7,4}.(0.43)^{4}.(0.57)^{3} = 0.2216[/tex]
Then
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0195 + 0.1032 + 0.2336 + 0.2937 + 0.2216 = 0.8716[/tex]
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Given the center and radius, find equation of the circle
Answer:
[tex]{ \sf{ {(x - 2)}^{2} + {(y + 8)}^{2} = 4}}[/tex]
Answer:
Center is (2, -8) and radius =2
h = 2 and k = -8
Filling in this equation:
(x -h)² + (y -k)² = radius² we get:
(x - 2)^2 + (y--8)^2 = 2^2 which equals
(x-2)^2 + (y +8)^2 = 4
Source: http://www.1728.org/circleqn.htm
Step-by-step explanation:
In the diagram below, PQ is parallel to MN. Solve for 2. Round your answer to the
nearest tenth if necessary.
X=
At 11:00 a.m., John started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Jimmy started driving along the same highway in the same direction as John at the constant speed of 65 miles per hour. At what time will Jimmy catch up with John?
Answer:
12:05 pm
Step-by-step explanation:
Let z be the number of hours, from 11:00 am, when Jimmy would catch up with John. The time that Jimmy will have to drive to catch up with John is z - 1/4 as he started a quarter of an hour late. When Jimmy would catch up with John, they would have traveled the same distance. Hence
50 z = 65 (z - 1/4)
Solve for t
50z = 65z - 65/4
z = 65/60 = 1.083 hours = 1 hour and 5 minutes
Jim will catch up with John at
11:00 am + 1 hour 5 minutes = 12:05 pm
Answer From Gauth Math
What is 2:50 is simplest form
Answer:
0.04
Step-by-step explanation:
2 / 50 is the same as 1 / 25.
1 / 25 = 0.04
Answer:
0.04
Step-by-step explanation:
Check all that apply.
4x2 + 4x + 1 = 0
O A. X=
1
2
1
B. X= -2
c. x=-1
O D. x = 2
O E. x=
=
3
2
O F. X = 3
Answer:
x = -1/2
Step-by-step explanation:
4x^2 + 4x + 1 = 0
Factor
(2x+1)(2x+1) =0
Using the zero product property
2x+1 = 0 2x+1 =0
2x = -1 2x=-1
x = -1/2 x = -1/2
write 1.4888... as a mixed number
Answer:
1861÷1250
Step-by-step explanation:
This is the simplified version
A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number
Answer:
the number is 2.45
Step-by-step explanation:
let the original number = n
[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]
Therefore, the number is 2.45
help on the circled problems, will mark brainliest :D
Answer:
see explanation
Step-by-step explanation:
(1)
x - (9x - 10) + 11 = 12x + 3(- 2x + [tex]\frac{1}{3}[/tex] ) ← distribute parenthesis on both sides
x - 9x + 10 + 11 = 12x - 6x + 1 ← collect like terms on both sides
- 8x + 21 = 6x + 1 ( subtract 6x from both sides )
- 14x + 21 = 1 ( subtract 21 from both sides )
- 14x = - 20 ( divide both sides by - 14 )
x = [tex]\frac{-20}{-14}[/tex] = [tex]\frac{10}{7}[/tex]
(3)
- 4x - 2(8x + 1) = - (- 2x - 10) ← distribute parenthesis on both sides
- 4x - 16x - 2 = 2x + 10
- 20x - 2 = 2x + 10 ( subtract 2x from both sides )
- 22x - 2 = 10 ( add 2 to both sides )
- 22x = 12 ( divide both sides by - 22 )
x = [tex]\frac{12}{-22}[/tex] = - [tex]\frac{6}{11}[/tex]
(7)
8(2x + 9) = 56 ( divide both sides by 8 )
2x + 9 = 7 ( subtract 9 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
2. If (x+1,Y+2)=(3,4), find the value of x and y
Answer:
x = 2
y = 2
Step-by-step explanation:
since it is an equal pair,
x+1 = 3
or, x = 3 - 1
x = 2
y + 2 = 4
or, y = 4 - 2
y = 2
Mrs. Vacarro sliced a banana into 5 pieces. After eating one slice, she gave ⅘ of the original total to her toddler. After her child was finished, there were ⅖ of the banana slices left. What expression would you use to find out what fractional amount of banana Mrs. Vacarro's toddler ate?
The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Vacarro sliced a banana into 5 pieces.
Number of slices she gave to her toddler = 4/5
Number of slices left after her toddler had finished eating = 2/5
Thus number of slices toddler ate,
⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]
⇒ [tex]\frac{4-2}{5}[/tex]
⇒ [tex]\frac{2}{5}[/tex]
Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?
Answer:
30
Step-by-step explanation:
First, we can say that because the men do 1/3 of the work in 20 days,
for 10 men:
20 days = 1/3 total work
Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get
10 days = 1/6 total work
The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6
Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time