Answer:
43cm
Step-by-step explanation:
Given
Length of Log = 291cm
First Piece = 67cm
Second Piece = 181cm
Required
Determine the length of the third piece
Given that the log was cut into three;
this implies that;
Length of Log = First Piece + Second Piece + Third Piece
Substitute values for first piece, second piece and length of log;
[tex]291 = 67 + 181 + Third\ Piece[/tex]
[tex]291 = 248 + Third\ Piece[/tex]
Subtract both sides by 248
[tex]291 - 248 = 248 - 248 + Third\ Piece[/tex]
[tex]43 = Third\ Piece[/tex]
[tex]Third\ Piece = 43[/tex]
Hence, the length of the third piece is 43cm
Please can someone help me ASAP
a) [tex]\frac{8}{2}[/tex]
b) [tex]\frac{9}{4}[/tex]
c) [tex]\frac{3}{-1}[/tex]
(Sorry for the spam, making sure these are right) One zero of the polynomial function f(x)=x^3-9x^2+20x is x=0. What are the polynomial function? Choices:
Replace f(x) with 0 and solve for x. We do this because the x intercepts always occur when y = 0. Keep in mind that y = f(x).
f(x)=x^3-9x^2+20x
0=x^3-9x^2+20x
x^3-9x^2+20x = 0
x(x^2-9x+20) = 0 .... factor out GCF x
x(x-5)(x-4) = 0 ... factor the stuff inside
x = 0 or x-5 = 0 or x-4 = 0 ... zero product property
x = 0 or x = 5 or x = 4
The roots or zeros are 0, 5, 4Answer: Choice DWhat is the length of the line?
Answer:
[tex]\boxed{\sqrt{37} }[/tex]
Step-by-step explanation:
Use Pythagorean theorem.
Create a right triangle, with legs of length 6 and 1 units. Find the length of hypotenuse.
[tex]6^2+1^2 =c^2 \\36+1=c^2 \\37=c^2 \\c=\sqrt{37}[/tex]
Answer:
When you use Pythagorean theorem, the answer is √37.
Step-by-step explanation:
WILL GIVE BRAINLIEST Find the value of x, rounded to the nearest degree. 26° 25° 28° 62°
Answer:
X rounded to the nearest degree can me calculated based on parallel lines or if there is a straight line bisected by a line, 180 degress is a staright line. There is not enough info nor a picture to give a direct answer.
Answer:
its D
Step-by-step explanation:
Answer.. Plz!! 1rst one .BRAINLIEST!
Answer:
a) [tex]\boxed{4m^2+20m+25}[/tex]
b) [tex]\boxed{m^2-m+\frac{1}{4} }[/tex]
Step-by-step explanation:
a) [tex](2m+5)^2[/tex]
Using formula [tex](a+b)^2 = a^2+2ab+b^2[/tex]
=> [tex](2m)^2 + 2(2m)(5)+(5)^2[/tex]
=> [tex]4m^2+20m+25[/tex]
b) [tex](m-\frac{1}{2} )^2[/tex]
Using Formula [tex](a-b)^2 = a^2-2ab+b^2[/tex]
=> [tex](m)^2 - 2(m)(\frac{1}{2} ) + (\frac{1}{2} )^2[/tex]
=> [tex]m^2-m+\frac{1}{4}[/tex]
Answer:
a) [tex]\boxed{4m^2 + 20m + 25}[/tex]
b) [tex]\boxed{m^2 - m + \frac{1}{4} }[/tex]
Step-by-step explanation:
[tex](2m + 5)^2[/tex]
[tex](2m + 5) (2m + 5)[/tex]
Use FOIL method.
[tex]2m(2m + 5)+5(2m + 5)[/tex]
[tex]4m^2 + 10m + 10m + 25[/tex]
[tex]4m^2 + 20m + 25[/tex]
[tex](m - \frac{1}{2} )^2[/tex]
[tex](m- \frac{1}{2})(m- \frac{1}{2})[/tex]
Use FOIL method.
[tex]m(m- \frac{1}{2})- \frac{1}{2}(m- \frac{1}{2})[/tex]
[tex]m^2- \frac{1}{2} m- \frac{1}{2}m+ \frac{1}{4}[/tex]
[tex]m^2-m+ \frac{1}{4}[/tex]
The Venn diagram shows the results of two events resulting from rolling a number cube.
Answer:
Option B.
Step-by-step explanation:
From the given venn diagram it is clear that
[tex]A={1,2}[/tex]
[tex]B={1,2,3,4,5,6}[/tex]
[tex]A\cap B={1,2}[/tex]
Since the intersection of A and B is non-empty, therefore by conditional probability
[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]
[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]
Therefore, the correct option is B.
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
last option
Step-by-step explanation:
Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
Answer:
option D
Step-by-step explanation:
Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs 36 20 56 Prefers cats 10 26 36 No preference 2 6 8 TOTAL 48 52 100 Of students in the sample, what fraction were male?
Answer:
12/25
Step-by-step explanation:
There were a total of 48 males, so 48/100 = 12/25.
+---------------+------+--------+-------+
| | Male | Female | Total |
+---------------+------+--------+-------+
| Prefers Dogs | 36 | 20 | 56 |
+---------------+------+--------+-------+
| Prefers Cats | 10 | 26 | 36 |
+---------------+------+--------+-------+
| No Preference | 2 | 6 | 8 |
+---------------+------+--------+-------+
| Total | 48 | 52 | 100 |
+---------------+------+--------+-------+
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 293 255 264 240 190 295 199 184 293 205 199
Answer:
A.) Mean = 237.9
B.) Median = 240
C.) Mode = 199
D.) Midrange = 239.5
Step-by-step explanation:
The given data are :
293 255 264 240 190 295 199 184 293 205 199
The mean = (sum of X) / f
Where frequency f = 11
X = 293 + 255 + 264 + 240 + 190 + 295 + 199 + 184 + 293 + 205 + 199
X = 2617
Substitute X and f into the formula
Mean = 2617/11
Mean = 237.9 approximately
B.) To get the median, you need to first rearrange the data, then pick the middle number.
184 190 199 199 205 240 255 264 293 293 295
The median = 240
C.) The mode is the highest frequency. That is the most occuring number
Mode = the two most occuring numbers are 199 and 293
D.) Range = highest number - lowest number
But midrange = (highest number + lowest number ) ÷ 2
Highest number = 295
Lowest number = 184
Substitute into the formula
Midrange = (295 + 184)/2
Midrange = 479/2
Midrange = 239.5
The shaded rectangle in the diagram consists ofthree squares. (Picture for full question)
Answer: 243 cm²
Step-by-step explanation: If the diameter is 18, the radius is 9. Each square is 9×9, so 81 cm² for each. Multiply: 81×3 = 243
Or take the length times width to get area 27×9= 243
WILL MARK BRAINLIEST
PLEASE HELP x
Answer:
3. time = 6.4999 approximately 6.5 years
4. $2235.35
5. $ 3950
Step-by-step explanation:
4. amount of interest = final amount - principle= 7535.35 - 5300 = 2235.35
5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950
can somebody please helpp
Answer:
The Answer is the first option
Step-by-step explanation:
If you take the 3x-4>5
than: 3x>5+4
3x>9
x>9/3
x>3
In triangle $ABC$, $AB = BC = 25$ and $AC = 40$. What is $\sin \angle ACB$?
Answer:
Sine angle of <ACB = 38.68°
Step-by-step explanation:
Hello,
To solve this problem, we need a good representation of the sides and the angle.
See attached document for better illustration.
Assuming it's a right angled triangle,
AC = hypothenus
AB = opposite
BC = adjacent
AC = 40
BC = 25
AB = 25
From trigonometric ratios
Sinθ = opposite/ hypothenus
Sinθ = AB / AC
Sinθ = 25 / 40
Sinθ = 0.625
θ = sin⁻¹0.625
θ = 38.68°
Sine angle of <ACB = 38.68°
use the cross product property to solve the proportion
5/r = 9/10
Answer:
[tex]5.\overline{55}[/tex] or [tex]5\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{5}{r} =\frac{9}{10}[/tex]
We multiply the cross values of 5 and 10
5 × 10 = 50
Now we divide by the remaining number, 9
[tex]50 \div 9 = 5.555555...[/tex]
So, r = [tex]5.\overline{55}[/tex]
As a fraction, this is [tex]5\frac{5}{9}[/tex]
Hope this helped!
Answer:
5 5/9 = r
Step-by-step explanation:
5/r = 9/10
Using cross products
5 * 10 = 9 * r
50 = 9r
Divide by 9
50/9 = r
5 5/9 = r
What is the perimeter of the parallelogram?
Answer 18
Solve 5+5+4+4=18
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.
Make sure to simplify radicals. Leave your answers as radicals in simplest
form.
60°
x
10
y =
ㄷ
Answer:
[tex]x=20[/tex]
[tex]y=10\,\sqrt{3}[/tex]
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]
and also:
[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]
Graph y=0.4x............................
Answer:
Look at the image below
If a number is added to the numerator of StartFraction 11 Over 36 EndFraction and twice the number is added to the denominator of StartFraction 11 Over 36 EndFraction , the resulting fraction is equivalent to one third . Find the number.
Answer:
The number is 3
Step-by-step explanation:
The fraction is 11/36
let
x = no. added to the numerator
2x = no. added to denominator
We have,
x+11/2x+36=1/3
Cross multiply
3(x+11) = (2x + 36)
3x + 33 = 2x + 36
Collect like terms
3x - 2x = 36 - 33
x=3
The number is 3
Check:
3+11/6+36=1/3
14/42=1/3
WILL GIVE BRANLIEST AND 20 POINTS!!
List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Step-by-step explanation:
The coordinates of the feasible region are:(In clockwise direction)
(200, 200)
(300, 200)
(500, 0)
(300, 0)
According to the graph, what is the domain and range of the function?
Answer:
if its according to the graph but not according to the function then
domain = {x:-4<x<8}
range = {y:y<16}
Please answer this in two minutes
Answer:
m<B = 63.4°
Step-by-step explanation:
tangent = opposite ÷ adjacent
tan B = [tex]\frac{4}{2}[/tex]
tan B = 2
B = tan⁻¹ (2)
B = 63.4°
Hope this helps.
In how many different ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each coin?
Answer:18
Step-by-step explanation:
There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Since we know that
1 Quarter = 0.25 of Dollar
1 Dime = 0.10 of Dollar
1 Nickel = 0.05 of Dollar
Let's say we make Q number of the quarter, D number or dime, and N number of nickel.
Then equation formed will be
0.25Q + 0.10D + 0.05N = 0.75
From it is clear that the possible outcomes are
Qarteres =1, Dime =1, Nickel =2
Qarteres =1, Dime =2,Nickel = 4
Qarteres =1,Dime =3, Nickel = 6
Qarteres =1,Dime =4, Nickel = 8
Qarteres = 2, Dime =1,Nickel = 1
Qarteres = 2, Dime =2, Nickel = 3
Hence there will be a total of 6 outcomes.
For more about the equation
brainly.com/question/2263981
#SPJ2
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 3/4 when a = -2 3/4 . Which equation represents this direct variation between a and b?
Answer:
b=-a
Step-by-step explanation:
write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
C) Yes, since the slopes are the same and the y-intercepts are different.
Step-by-step explanation:
You need to have both equations in slope-intercept form.
4x - 6y = -6
-6y = -4x - 6
y = 2/3x + 1
The two equations are
y = 2/3x + 1
y = 2/3x - 17
For lines to be parallel, the slopes must be equal. The y-intercepts don't matter.
Since the lines have the same slopes but different y-intercepts the answer is C.
Solve the following: (1 point) 7x − 2y = −3 14x + y = 14
Answer:
Step-by-step explanation:
7x - 2y = -3
14x + y = 14
7x - 2y = -3
28x + 2y = 28
35x = 25
x = 25/35= 5/7
14(5/7) + y = 14
10 + y = 14
y = 4
(5/7, 4)
Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67
Answer:
the range is 10
Step-by-step explanation:
70 is the highest and 60 is the lowest
70-60=10
Find the value of x
44 and 55in
Answer:
C
Step-by-step explanation:
Use Pythagorean theorem
X^2 + 44^2 = 55^2
X^2 = 55^2 - 44^2
= 3025 - 1936
X^2 = 1089
X = sqrt (1089)
X = 33
A school counselor surveyed 90 randomly selected students about thé langages they speak. Of thé students surveyed 16 speak more than one langage fluently. Bases on thèse résults, How many of thé 1800 students at thé school can be expected to speak more than one langage fluently
Answer: 320 students
Step-by-step explanation:
From the question, we are informed that a school counselor surveyed 90 randomly selected students about thé langages they speak and thé students surveyed 16 speak more than one langage fluently. This means that 16/90 speak more than one language.
When 1800 students are surveyed, the number of students that can be expected to speak more than one langage fluently will be:
= 16/90 × 1800
= 16 × 20
= 320 students
For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 m/s2. If the acceleration of the object becomes 9 m/s2, what is the force?
Answer:
72 N
Step-by-step explanation:
From the question.
Force is directly proportional to acceleration, with the mass of the object constant.
F α a
F = ka
F₁/a₁ = F₂/a₂....................... Equation 1
Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.
make F₂ the subject of the equation
F₂ = (F₁/a₁)a₂................ Equation 2
Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²
Substitute these values into equation 2
F₂ = (64/8)(9)
F₂ = 72 N