Answer:
The length is 26 feet and the width is 23 feet
Step-by-step explanation:
Let l represent the length of the rectangle.
The width can be represented by l - 3, since it is 3 feet less than the length
Set up an equation:
l + l + (l - 3) + (l - 3) = 98
Add like terms and solve for l:
l + l + (l - 3) + (l - 3) = 98
4l - 6 = 98
4l = 104
l = 26
So, the length is 26 feet.
Since the width is l - 3, we can plug this in for l to find the width:
l - 3
26 - 3
= 23
So, the length is 26 feet and the width is 23 feet
T is the midpoint of RS, RT = x-1, and RS = 3x - 17 What is the length of RT? Enter your answer in the box
Answer: 14
Step-by-step explanation:
RT= x- 1 = 15 - 1 = 14
I will give brainliest answer
Answer:
4 right; 4 up
Step-by-step explanation:
The difference between the two points is ...
P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)
The translation is 4 units to the right and 4 units up.
-4x-7+7x-3 simplify
Answer:
3x - 10
Step-by-step explanation:
first set up the like variables next to each other
-4x + 7x - 7 - 3
Then, combine like variables
-4x + 7x = 3x
-7 - 3 = -10
The answer is:
3x - 10
Answer: 3x - 10
Step-by-step explanation:
To simplify you need to combine all like terms, and the only terms here are x terms and number ones, so you would combine those to have
3x - 10
7x - 4x
-7 -3
What is 24-5d=d oooooooooooooooooooo
Answer:
d = 4
Step-by-step explanation:
24 - 5d = d
24 = 6d
24 / 6 = 4
d = 4
Hope this helps :)
Answer:
444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
Step-by-step explanation:
how do i know the unknown quantity
Answer:
15 cakes
Step-by-step explanation:
Cross multiply: 125(3)=25x
Simplify: 375=25x
Divide 25 on both sides: 15
Add units!
Hope it helps! Comment if you have any questions!
Sophia drives 6.12 miles each time she goes to visit her grandparents. How far will Sophia drive if she visits her grandparents 9 times?
Answer:
55.08
Step-by-step explanation:
6.12 times 9
55.08
1-x-5x=8x-5
Show your work
Answer:
x = -13x + 6
Step-by-step explanation:
1-x-5x=8x-5
1-x = 13x-5
-x = 13x-6
x = -13x + 6
Hope this helps!
Plz name brainliest if possible!
who ever is good with angles please answer
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 165°}}}}}[/tex]
Step-by-step explanation:
Sum of complete turn adds up to 360°
Given angles : 63° , 42 ° , 90 ° , x°
To find : x
Create an equation
[tex] \sf{x + 63° + 42° + 90° = 360°}[/tex]
[tex] \dashrightarrow{ \sf{x + 195° = 360°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 360° - 195°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 165°}}[/tex]
Hope I helped!
Best regards! :D
Determine the remaining sides and angles of the triangle ABC.
A. 18.95 degree.
B. 0.56 degree.
C. 17.83 m.
Answer:
Angle C ∠C = 160.49°
side b = 0.522 m
side a = 17.34 m
Step-by-step explanation:
Given that;
In a Δ ABC,
∠A = 18.95°
∠B = 0.56°
∠C = ???
side A = ???
side B = ???
side C = 17.83 m
We are to determine the unknown missing sides and the angle.
We know that, the sum of angles in a triangle = 180°
∴
∠A + ∠B + ∠C = 180°
18.95° + 0.56° + ∠C = 180°
∠C = 180° - 18.95° - 0.56°
∠C = 160.49°
Using sine rule to determine the unknown sides. The sine rule can be expressed as:
[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]
To determine side b, we have:
[tex]\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]
[tex]\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }[/tex]
[tex]\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}[/tex]
[tex]\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}[/tex]
[tex]\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}[/tex]
[tex]\mathtt{ b = \dfrac{0.174265071}{0.33397}}[/tex]
b = 0.522 m
For side a, we have
[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }[/tex]
[tex]\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }[/tex]
[tex]\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}[/tex]
[tex]\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}[/tex]
[tex]\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}[/tex]
a = 17.34 m
Show the conjecture is false by finding a counterexample.
m If m does not equal -1, then < 1.
Dividing any positive number m over (m+1) leads to a positive result that is smaller than one. This is because the denominator is larger than the numerator.
However, if m is negative, then it's a different story. Consider m = -2
If m = -2, then m+1 = -2+1 = -1
Meaning that [tex]\frac{m}{m+1} = \frac{-2}{-1} = 2[/tex] but this result is not less than 1
So m = -2 is one counterexample of infinitely many to show that [tex]\frac{m}{m+1} < 1, \text{ with } m \ne -1[/tex] is not always true. If you restricted m to be positive, then the inequality would be true.
Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough calories to lose 4 pounds per week, then how many weeks will pass before Mr. Andrews weigh 228 pounds ?
Answer: bruv what’s the a answer
Step-by-step explanati
Show that y2+ x-3 =0 is an implicit solution to dy/dx =-1/ (2y) on the interval (- [infinity] , 3)
Answer:
Implicit function
[tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]
Step-by-step explanation:
Explanation:-
Given y² + x - 3=0 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]2 y \frac{d y}{d x} +1 = 0[/tex]
⇒ [tex]2 y \frac{d y}{d x} = -1[/tex]
⇒ [tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]
[tex]\frac{d y}{d x} = \frac{-1}{2 (3)}[/tex]
[tex]\frac{d y}{d x} = \frac{-1}{6}[/tex]
Write the equation of the line that has the slope m= –2 and contains the point P = (-1,6).
Equation:
What is the y-intercept b of this line?
Answer: b =
Step-by-step explanation:
Y = M X + C
6 = -2 × -1 + C
6 = 2 + C
6 - 2 = C
4 = C
Answer:
b = 8
Step-by-step explanation:
6 = 2(-1) + b
6 = -2 + b
8 = b
f(x)=-3(9+x) for x=7
Answer:
f(7)= -48
Step-by-step explanation:
Evaluate f(x)= -3(9+x) for x=7.
Substitute 7 for x in f(x)=-3(9+x), obtaining f(7)= -48
A farmer's land is separated into sections of size 2 1/3 acres. Suppose there are 4 1/5 such sections. How many acres of land does the farmer own?
Write your answer as a mixed number in simplest form.
Step-by-step explanation:
[tex]2 \frac{1}{3} = \frac{7}{3} [/tex]
[tex]4 \frac{1}{5} = \frac{21}{5} [/tex]
[tex] \frac{7}{3} \times \frac{21}{5} = \frac{147}{15} = 9 \frac{12}{15} [/tex]
Given f(x)=13(4−x)2, what is the value of f(16)?
Answer:
1872
Step-by-step explanation:
Plug is 16 for x
f(x)=13(4−x)^2
f(16)=13(4−16)^2
f(16)=13(-12)^2
-12^2=144
f(16)=13(144)
f(16)=1872
Hope this helps! Plz award Brainliest : )
The value of function f(x)= 13(4 - x)² at x= 16 is 1872.
To find the value of f(16), we substitute x = 16 into the expression for f(x) and evaluate it.
f(x) = 13(4 - x)²
Substituting x = 16:
f(16) = 13(4 - 16)²
Now, let's calculate:
f(16) = 13(-12)²
= 13(144)
= 1872
Therefore, the value of f(16) is 1872.
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You created a playlist, and 100 of your friends listened to it and shared if they
liked it or not. Mario said the ratio of the number of people who liked the playlist
to the number of people who did not like the playlist is 75:25. Lila said that for
every three people who liked the playlist, one person did not. Do they agree? *
Answer:
its yes
Step-by-step explanation:
Find the perimeter of the figure below , composed of a rectangle and two semicircles .round to the nearest tenths place
Answer:
74
Step-by-step explanation:
22/7 × 14 × ½ × 2 = 44
15 + 15 = 30
30 + 44 = 74
a.
2 • (3(5 + 2) - 1)
Step-by-step explanation:
2(3(7)-1)
= 2(21-1)
=2(20)
=40
Which models show 40%?
Check all that apply.
A,B or C??
Answer:
A and B
A is 4/10 which is equivalent to 40/100 (40% in fraction form)
and B is 40/100
(the shortcut is to count the blocks going across and then going down and multiply in this case it gives you 100 for the whole square and 40 shaded)
C is 2/10 or 20%
Select the equivalent expression.
3-5 = ?
Choose 1 answer:
A (-3)
B
-35
1
35
Answer:
[tex]\boxed{\bold{[C] \ \ \ \ \frac{1}{3^5} } }}[/tex]
Explanation:
Apply Exponent Rule: [tex]\bold{\:a^{-b}=\frac{1}{a^b}}[/tex]
[tex]\bold{3^{-5}: \ \frac{1}{3^5} }[/tex]
The equivalent expression for [tex]3^{-5[/tex] using exponent is [tex]\( \dfrac{1}{3^5} \)[/tex].
Explanation:
When we have a negative exponent, it indicates the reciprocal of the base raised to the positive exponent.
In this case, [tex]3^{-5[/tex] means the reciprocal of [tex]3^5[/tex].
To compute [tex]\( 3^5 \)[/tex] raise 3 to the power of 5, which gives us
[tex]\( 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \)[/tex]
Now, to get the reciprocal of 243,
simply take [tex]\( \dfrac{1}{243} \)[/tex], which is the same as [tex]\( \dfrac{1}{3^5} \)[/tex].
So, [tex]\( 3^{-5} = \dfrac{1}{3^5} = \dfrac{1}{243} \)[/tex].
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RS = 5x, ST = 3x, and RT = 48
Answer:
[tex]x= 6[/tex]
Step-by-step explanation:
RT = RS + ST
[tex]48=5x+3x[/tex]
[tex]48=8x[/tex]
Swap sides:
[tex]8x=48[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8} =\frac{48}{8}[/tex]
[tex]x=6[/tex]
f(x)=x 2 −6x+3 g(x)= x−2 f ( g ( 11 ) ) = f(g(11))
Answer:
30
Step-by-step explanation:
g(11)= 11-2=9
f(9)= 9²-54+3= 30
If shown,
AB
and
CD
are straight lines. Find x in each case.
WILL MARK BRAINLISIT
Answer:
x=60
Step-by-step explanation:
here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.
x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90
and 30+2x+y = 180 ,
2x+y=150, (180-30)
then two equations can be made.
x+y=90
2x+y=150
simplifying these two simultaneous equations
can get x as 60. and 2x is 120.
The value of x is 60°
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.
Here, DOB and AOC have equal values and are at vertically opposed angles. Let's use y to represent the two angles.
Since EOA is 90 and the total of the angles in a straight line is 180, x+DOB equals 90 and can be written as x+y=90.
And 30 + 2x + y = 180 ,
⇒ 2x+y = 180-30
⇒ 2x + y = 150,
After which two equations can be created.
⇒ x+y=90
⇒ 2x+y=150
We have the two simultaneous equations made simpler.
We can get x as 60. and 2x as 120.
Thus, the value of x is 60°
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A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order of preference. A matching is defined as the separation of the students into two disjoint pairs. A matching is stable if no two separated students prefer each other to their current roommates. Does a stable matching always exist
Answer:
Each student ranks the other three in strict order of preference.
Step-by-step explanation:
When 4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.
PLEASE ANSWER 100 PTS AND WILL MARK BRAINLIEST.
Answer:
1
Step-by-step explanation:
We have the graph of f(x).
In order to find f(0), we simply need to find the y-coordinate of the coordinate when x is 0.
From the graph, we can see that there is a point at (0,1).
In other words, when x is 0, f(x) is 1.
Therefore:
[tex]f(0)=1[/tex]
1.4-1.2
Carry division to
nearest hundredths
place.
Answer:
To the nearest Hundredth = 1.17
Step-by-step explanation:
CARRYING THE DIVISION OF 1.4 / 1.2 to the nearest hundredths place
= 1.4 / 1.2
= 1.16666667
≈ 1.17
rounding off to the nearest hundredth means rounding off your answer to only two decimal places
Help help help hel help
Answer:
[tex]\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}[/tex]
Step-by-step explanation:
We can simplify this expression down so that we have x isolated on one side of the equation.
So we can take the square root of both sides.
[tex]x = \sqrt{\frac{1}{100}}[/tex]
The square root of [tex]\frac{1}{100}[/tex] will be the number that, when multiplied by itself, will get us [tex]\frac{1}{100}[/tex].
In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.
[tex]1^2 = 1[/tex]
[tex]10^2 = 100[/tex]
This means that we have the values 1 and 10. Therefore one of our fractions is [tex]\frac{1}{10}[/tex].
HOWEVER: A negative number squared is a positive. So this also works:
[tex]-1^2 = 1\\\\-10^2=10[/tex]
So we have [tex]-\frac{1}{10}[/tex] along with [tex]\frac{1}{10}[/tex].
Hope this helped!
Which set of angle measures could be the interior angles of a triangle?
OA. 15°, 48°, 27°
OB. 56°, 45°, 46°
OC. 42°, 84°, 64°
D. 93°, 29°, 58°
PLEASE HURRYYYYY
Answer:
C
Step-by-step explanation:
81 less than f equals 197
Answer:
[tex]f=278[/tex]
Step-by-step explanation:
[tex]f-81=197[/tex]
Add 81 to both sides:
[tex]f-81+81=197+81[/tex]
[tex]f=278[/tex]
