Answer:
77 m
Step-by-step explanation:
Length = x
262 = 2*54 + 2*x
2*x = 262 - 108 = 154
x = 154/2 = 77 m
Median of 81 94 83 91
Answer:
87
Step-by-step explanation:
Determine if true:
3+2-1x4=15
Answer:
False
Step-by-step explanation:
3+2=5
3+2=55-1=4
3+2=55-1=44x4=16
3+2=55-1=44x4=16Hence, the equation is true.
Margaret buys 5 ⅗ yards of fabric to make Halloween costumes. She uses 3 ¾ yards of fabric to make one Halloween costume.
Answer:
5 3/5 --> 5 12/20
3 3/4 --> 3 15/20
redistribute 1 into 20/20 and make
4 33/20 - 3 15/20
= 1 18/20
= 1 9/10
What is the measurement of the third angle of a triangle,if the measurement of the two angles are 50° and 58°
A.32°
B.42°
C.72°
D.82°
Paki sagot po
Given :
The measurement of the two angles of a triangle are 50° and 58°.⠀
To Find :
The measurement of the third angle of the triangle.⠀
Answer :
72° .⠀
Explanation :
We know that,
Sum of all angles of a triangle = 180°⠀
Therefore,
[tex]{ \longrightarrow \sf \qquad \angle1 + \angle2 + \angle3= 180 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \sf \qquad 50 {}^{ \circ} + 58{}^{ \circ}+\angle3= 180 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \sf \qquad 108{}^{ \circ}+\angle3= 180 {}^{ \circ} }[/tex]
⠀
Subracting 108° from both sides :
[tex]{ \longrightarrow \sf \qquad 108{}^{ \circ} - 108 {}^{ \circ} +\angle3= 180 {}^{ \circ} - 108 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \pmb{\bf \qquad \angle3= 72 {}^{ \circ} }}[/tex]
⠀
Therefore,
The measurement of the third angle of the triangle is 72° .What is the answer to this question? (100 POINTS PLS ANSWER!)
Answer: D
Step-by-step explanation:
Unit means 1, so it’s obviously D!
In a certain automobile manufacturing paint shop, paint defects on the hood occur at a mean rate of 0.8 defect per square meter. A hood on a certain car has an area of 3 square meters. (a) Justify the use of the Poisson model. (b) If a customer inspects a hood at random, what is the probability that there will be no defects? (c) One defect? (d) Fewer than two defects?
Considering the situation described, we have that:
a) The Poisson distribution is used because we only have the mean.
b) There is a 0.0907 = 9.07% probability that there will be no defects.
c) There is a 0.2177 = 21.77% probability that there will be one defect.
d) There is a 0.3084 = 30.84% probability that there will be fewer than two defects.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The Poisson distribution is used because we only have the mean.
We have 0.8 defects per m² and 3 m², hence the mean is given by:
[tex]\mu = 3 \times 0.8 = 2.4[/tex]
Item b:
The probability is P(X = 0), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2.4}(2.4)^{0}}{(0)!} = 0.0907[/tex]
There is a 0.0907 = 9.07% probability that there will be no defects.
Item c:
The probability is P(X = 1), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-2.4}(2.4)^{1}}{(1)!} = 0.2177[/tex]
There is a 0.2177 = 21.77% probability that there will be one defect.
Item d:
The probability is P(X < 2), hence:
P(X < 2) = P(X = 0) + P(X = 1) = 0.0907 + 0.2177 = 0.3084.
There is a 0.3084 = 30.84% probability that there will be fewer than two defects.
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. If each puppy gained 2.1 ounces, how much would the puppies weigh?
Answer:
6.5 ounce puppy would be 8.6
7.3 ounce puppy would be 9.4
6.4 ounce puppy would be 8.5
Step-by-step explanation:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1=8.5
hope this helps!
Answer: 8.6, 9.4, and 8.5.
Step-by-step explanation:
6.5
+ 2.1
_____
8.6
7.3
+ 2.1
_____
9.4
6.4
+ 2.1
_____
8.5
Hope this helps! :)
Convert the following mixed number to an improper fraction:
8 4/7
Answer:
60/7
Step-by-step explanation:
8x7=56
56+4=60
Answer:
[tex]=\frac{60}{7}[/tex]
Step-by-step explanation:
Given the following question:
[tex]8\frac{4}{7}[/tex]
In order to convert the mixed number into an improper fraction multiply the denominator by the whole number and then add the numerator. While of course keeping the denominator the same.
[tex]8\frac{4}{7}[/tex]
[tex]8\frac{4}{7}=7\times8=56+4=60=\frac{60}{7}[/tex]
[tex]=\frac{60}{7}[/tex]
Your answer is indeed "60/7."
Hope this helps.
factor and solve to find all the zeros
show work
x^2+ 5x + 6 = 0
Answer:
x=-3 and
x=-2 is the answer i watched a vid about it for you i can put more \
(x + 3 )(x+2) = 0
x+-3
x+2=0
x=-2
hope this helps?
Step-by-step explanation:
Choose all of the items related to the spanish-american war
Help help hlep help help kenplease
Answer:
$18 = 6 pounds
Step-by-step explanation:
If 1.5 pounds = $ 4.506 pounds = $4.50 × 4 = $18
Find the diameter of a circle whose circumference is 77
We are given that the circumference of a circle is 77 units and we need to find it's diameter . But let's recall that for any Circle with radius r , the circumference is given by 2πr . And diameter is double of radius i.e d = 2r , so we can write the circumference as 2r(π) i.e dπ . So , now here
[tex]{:\implies \quad \sf d\pi =77}[/tex]
[tex]{:\implies \quad \sf d\times \dfrac{22}{7}=77}[/tex]
[tex]{:\implies \quad \sf d=\dfrac{77\times 7}{22}}[/tex]
[tex]{:\implies \quad \sf d=\dfrac{\cancel{11}\times 7\times 7}{\cancel{11}\times 2}}[/tex]
[tex]{:\implies \quad \sf d=\dfrac{49}{2}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Diameter=24.5\:\: units}}}[/tex]
J0!N MY BLOOKET
BATTLE ROYALE
C0DE: 354162
yes
yes
Step-by-step explanation:
I am in the blooket
Answer:
ok
Step-by-step explanation:
please please help!!!
Katie needs 60 mL of a 10% acid solution for a science experiment. She has available a 8% solution and a 20% solution.
How many milliliters of the 8% solution and how many milliliters of the 20% solution should she mix to make the 10%
solution?
Answer:
The solution would be to solve two equations simultaneously.
Step-by-step explanation:
The solution would be to solve two equations simultaneously.
So let X = ml of 8 % SOLUTION and Y = ml of 20 % SOLUTION
We know that X + Y must = 60 ml.
So first equation is X + Y = 60
The second equation is the statement of the problem
0.2 X + 0.08 Y = 0.1 x 60 = 6
Second equation reduces to
0.2 X + 0.08 Y = 6
Solve the two equations for X and Y and you have your answer.
Ben says the angle is an acute angle. Jeff says the angle is less than a straight angle. Explain whether their statements are correct.
Answer:
sometimes, if their average angle is over 45 degrees
never are 2 obtuse angles summing to 180 degrees
always. two 90 degree angles always sum to 180 which is a straight line
what is the value of x with 16 and 45 degrees
Step-by-step explanation:
you make a question we don't understand. can you explain
Maya has savings of $30,000. She invests in a bond mutual fund that pays 6% interest each year. Ignoring compounding, what are Maya's total savings after 15 years? Ex: For $1,000 at 3% for 5 years, compute interest as $1,000 × 0.03 × 5 = $150, so the total savings becomes $1,000 + $150 = $1,150.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$30000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &15 \end{cases} \\\\\\ A=30000[1+(0.06)(15)]\implies A=30000(1.9)\implies A=57000[/tex]
Fill in the blank with a number to make the expression a perfect square.
Answer: 16
Step-by-step explanation:
It divides evenly into (w-4)^2.
Jesse bought 3 1/2 pounds of bird seed at $2.00 per pound.
How much should she have paid?
Answer:
$7.00
Step-by-step explanation:
Each pound cost $2 and we have 3 pounds which means that's $6:
3 • 2= 6
But then we have half a pound (1/2), well whats half of 2? the answer is 1 which means we add another dollar making that $7.00! :)
Suppose that f(x)=x2 and g(x) =4/5x2. Which statement best compares the graph of f(x)?
Answer:
See below.
Step-by-step explanation:
Are f(x)=x2 and g(x) =4/5x2 correctly written?
This answer assumes they are supposed to be:
f(x)=x^2 and g(x) = (4/5)x^2
If these revisions are correct, g(x) would produce values that are (4/5) of f(x).
See attached graph.
I don't see any of the options for "best statement."
It’s a bonus question on a work sheet I need your help.
Answer:
I think 5 because they both go into it
Given: E is the midpoint of and ABCD is a rectangle.
Prove: △ABE≅△DCE.
Answer:
AE = ED///// A MIDPOINT DIVIDES A SEGMENT INTO TWO CONGRUENT SEGMENTS
AB = DC ///// OPPOSITE SIDES OF A RECTANGLE ARE CONGRUENT
<A IS A RIGHT ANGLE ///// THE INTERIOR ANGLES OF A RECTANGLE ARE RIGHT ANGLES
<D IS A RIGHT ANGLE ///// THE INTERIOR ANGLES OF A RECTANGLE ARE RIGHT ANGLES
<A = <D ///// ALL RIGHT ANGLES ARE CONGRUENT
TRIANGLES ABE = DCE ///// SAS
Hope this might help you.
Step-by-step explanation:
pls need help 10 points and will give 5 star rating for correct answer
sure I will help in what you need help
Answer:
sure but what's the question???
Factor x ^ 3 - 4x ^ 2 + 7x - 28 by grouping. What is the resulting expression?
O (x ^ 2 + 7)(x - 4)
O (x ^ 2 - 7)(x + 4)
O (x ^ 2 + 4)(x - 7)
O (x ^ 2 - 4)(x + 7)
Answer:
A
Step-by-step explanation:
x³ - 4x² + 7x - 28
= x²(x - 4) + 7(x - 4)
= (x - 4)(x² + 7)
= A
As per the given data, the resulting expression after factoring by grouping is [tex](x^2 + 7)(x - 4)[/tex], which is option A.
What is Factor?Factoring is the process of finding the factors of an algebraic expression, which involves writing the expression as a product of simpler expressions.
There are different methods for factoring, depending on the type of expression. Some common methods include: Factoring by grouping, Factoring quadratics, and Factoring higher degree polynomials.
We can factor [tex]x^3 - 4x^2 + 7x - 28[/tex] by grouping the first two terms and the last two terms as follows:
[tex]x^3 - 4x^2 + 7x - 28= (x^3 - 4x^2) + (7x - 28)\\= x^2(x - 4) + 7(x - 4)\\= (x^2 + 7)(x - 4)[/tex]
Therefore, the resulting expression after factoring by grouping is (x^2 + 7)(x - 4), which is option A.
For more details regarding factorization, visit:
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Evan graphed a cubic function, f(x) = ax3 + bx2 + cx + d, and determined the roots of f(x) to be +1 and 2. What is the value of b, if a = 1
The value of [tex]b[/tex] in the cubic polynomial is -4.
How to determine the coefficients of a cubic polynomialAfter a quick analysis, we find that given cubic function is equivalent to the following equivalence:
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = (x-1)^{2}\cdot (x-2)[/tex]
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = (x^{2}-2\cdot x + 1)\cdot (x-2)[/tex]
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-2\cdot x^{2}+x-2\cdot x^{2}+4\cdot x-2[/tex]
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-4\cdot x^{2}+5\cdot x -2[/tex]
After a quick observation, we conclude that the value of [tex]b[/tex] in the cubic polynomial is -4. [tex]\blacksquare[/tex]
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016
Which formula do I use?
A B or C
Answer:
A=1/2b*h
Step-by-step explanation:
A=1/2b*h
a rectangle is b*h, and a right triangle is half a rectangle.
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
5
O y=T8 (11)
18
O y 13 (11)
y-
(18)(5)
O y=
11
11
O y= (18)(5)
5
Answer:
y=11 * (18/5)
Step-by-step explanation:
y = kx
Where k is constant of proportionality
18 = k(5)
Hence k = (18/5)
For x = 11, y is....
Y = kx
Y= (18/5) * 11
Can somebody please help me with this thank you
Answer:
2*3
Step-by-step explanation:
first name last sw do
Stefany Tolesteros and LOLOftes thanks me later
GEOMETRY The area of a scalene triangle is 56 square meters. The base of the triangle is 2x - 6 meters, and the height of the triangle is
X - 4 meters. Find the base and height of the triangle.
The base and height of the triangle is 16 meters and 7 meters respectively.
What are Scalene Triangles?Scalene triangles are triangles which has all three sides having different side lengths and the measure of all the three angles is different.
Given that,
Area of a scalene triangle = 56 square meter
Base of the triangle = 2x - 6 meters
Height of the triangle = x - 4 meters
The formula to find the area of a triangle is,
Area = [tex]\frac{1}{2}[/tex] × base × height
Substituting,
[tex]\frac{1}{2}[/tex] × (2x - 6) (x - 4) = 56
[tex]\frac{1}{2}[/tex] (2x² - 6x - 8x + 24) = 56
[tex]\frac{1}{2}[/tex] (2x² - 14x + 24) = 56
x² - 7x + 12 = 56
x² - 7x - 44 = 0
Factoring,
(x - 11) (x + 4) = 0
So, x = 11 or x = -4.
x = -4 is not possible, since the negative lengths are not possible.
So, x = 11
So base = 2x - 6 = 16 and height = x - 4 = 7
Hence the base and height are 16 and 7 respectively.
Learn more about Area of Triangles here :
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In the figure below, the sum of the areas of the two congruent circles shown is 72 π. What is the area of rectangle ABCD?
PLS ANSWER QUICKLY WILL MARK BRAINLIEST
Answer:
2 π R^2 = 72 π area of the two circles
R^2 = 36
R = 6
Area of rectangle = 2 R * 4 R = 8 R^2
Area = 8 * 36 = 288
Note area of one circle = π R^2 = π 36 = 113
Area of two circles = 226 - somewhat less than the area of the rectangle