Answer:
Length=17
width=13
Step-by-step explanation:
W=width
L=length
Perimeter = 2w+2l since it's a rectangle
W=l-4 (given)
Plug into perimeter equation
Perimeter =(2l-8)+2l
=4l-8
60=4l-8
68=4l
17 =l
W=l-4=17-4=13
answer the following please answer! i'll mark brainliest!
Answer:
0.2x+1???
Step-by-step explanation:
2x/3x+1=-3
-3=2x/3x+1
-3 x 3x + 1
-9x + 1
2x/-9x+1
0.2x+1
Point M is the midpoint of FG. Can the value of variable a be determined? Explain F(b+1, a+2). M(3,5). G(2a, 3b+3)
Answer:
YES, the value of a is 2Step-by-step explanation:
Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;
M(X, Y) = (x₁+x₂/2, y₁+y₂/2)
X = x₁+x₂/2 and Y = y₁+y₂/2
From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5
Substituting the given parameters into the formula, we can get the value of a and b as shown;
3 = b+1+2a/2
6 = 2a+b+1
2a+b = 5 ............... 1
Similarly, for the Y coordinate;
5 = a+2+3b+3/2
10 = a+2+3b+3
a+3b = 10-2-3
a+3b = 5 ........ 2
Solving equation 1 and 2 simulatneously using elimination method
2a+b = 5 ............... 1 * 1
a+3b = 5 ........ 2 * 2
---------------------------------------------------------
2a+b = 5 ...........3
2a +6b = 10.......... 4
subtract 3 from 4
b - 6b = 5-10
-5b = -5
b = -5/-5
b = 1
substitute b =1 into equation 2 to get a;
a + 3b = 5
a + 3(1) = 5
a = 5-3
a = 2
From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2
Answer:
To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2
Step-by-step explanation:
Solve for x, where x is a real number.
√x+3=9
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Answer:
x=36
only 1 solution
what decimal or fraction goes in the box
Answer:
Your answer would be 7.
Step-by-step explanation:
Hope I helped!!!
Robert came in first for threefourths_large of his races. Express this fraction as a decimal. (1 point) 0.75 0.7 7.5 1.33
Answer:0.75 just divide us top number by bottom ez
Step-by-step explanation:
how many numbers are between 0 and 4
Answer:
3 numbers
Step-by-step explanation:
Answer:
infinite rational numbers
Step-by-step explanation:
There are infinite rational numbers between 0 and 4. Now,single decimal value change like 2.34 and 2.35 can change the total value of a rational number. And there are infinite combinations of this decimal value between just two numbers.
Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.
Someone alr told me the was $19 but I NEED the equation part
Answer:
B= Bill's money
T= Ted's money
B+T=32
T+6=B
Step-by-step explanation:
If you rearrange the first equation you get:
B=32-T
You can then substitute the B in that equation with T+6:
T+6=32-T
combine like terms to get T:
2T+6=32
2T=26
T=13
Then plug in 13 for T in either of the first equations to get B:
13+6=B
19=B
Answer:
Bill has 19$
Step-by-step explanation:
Bill = b
Ted = t
b = t + 6$
b - t = 6$------equation 1
b + t = 32$------equation 2
(equation 1 - equation 2)
(b - b) + (-t - t) = 6 - 32
0 - 2t = -26
-2t = -26
t = -26/-2
t = -26/-2
t= 13$
(put t = 13$ in equation 1)
b - (13) = 6
b - 13 = 6
b = 6 + 13
b = 19$ (Bill = 19$)
Ann, Emily, and Bob collect stickers. They have a total of 70 stickers in the ratio 2:3:5, respectively. How many stickers does each child have?
Answer:
The stickers are divided by groups of
2/10, 3/10 and 5/10
2/10 * 70 = 14
3/10 * 70 = 21
5/10 * 70 = 35
14 + 21 + 35 = 70
So, the stickers are allotted to the 3 children in a group of
14 to one child, 21 to another child, and 35 to the third child.
Step-by-step explanation:
Can I please get some help
Answer:
GHK and H
Step-by-step explanation:
Liam wants to buy a lead for his guitar.
It must be longer than 7.59 m.
Lead Type Length
Lead A
7.5 m
Lead B
7.8 m
Lead C
8.3 m
Lead D
0.75 m
Answer:
B: 7.8m
Step-by-step explanation:
7.8m is 21cm more than 7.59m so it is close.
8.3 meters would be a bit too long for his lead.
9/8m - 1/6m = -4 - 11/3
Answer:
m=-8
Step-by-step explanation:
im assuming the equation is: [tex]\frac{9}{8} m-\frac{1}{6} m=-4-\frac{11}{3}[/tex]
find common denominators i choose 24
9/8 = 27/24
1/6 = 4/24
11/3 = 88/24
4 = 96/24
now start solving:
(Note that because denominators are the same you can just ignore them and focus on the numerator)
simplify (27/24)m - (4/24)m to (23/24)m
simplify -(96/24) - (88/24) to -184/24
now you are left with 23/24 m = -184/24
get rid of denominators 23m=-184
Divide -184 by 23 to get m= -8
I NEED HELP FAST
Hawaiian monk seals dives to a dept of -4.13 meters. By how many meters does it need to change his position to get back to sea level?
Answer:
45
Step-by-step explanation:
solve the question x/-4 = 3/4 so 'x' is equal to?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 3 }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{x}{ - 4} = \frac{3}{4} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{x \times 4 = 3 \times ( - 4)}}[/tex]
[tex] \dashrightarrow{ \sf{4x = - 12}}[/tex] ( Multiplying a positive integer and negative integer gives a negative integer )
Divide both sides of the equation by 4
[tex] \dashrightarrow{ \sf{ \frac{4x}{4} = \frac{ - 12}{4} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = - 3}}[/tex]
Hope I helped!
Best regards! :D
A student puts $250 into an account that pays 2% simple interest every year. How much
money in total is in their account after 3 years?
Simply: -6 + (-1)
(7th grade math) I’m in 7th PLEASE HELP!
Answer:
-7
Step-by-step explanation:
i think it would be -7
Calculus (2) Master Needed to show steps of evaluating the integral b=0, a= pi/2 :[tex]\int\limits^a_b {(t^2-3t)sint} \, dt[/tex] I get stuck after applying integration by parts and simplified the negative, I get [tex](t^2-3t)*-cost |\frac{\pi /2}{0} + \int\limits^a_b {cost * (t-3)} \, dt[/tex] what am I supposed to do at this stage? Or did I do it wrong? Step by step is needed!
Answer:
[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin t\, dt = \pi -5[/tex]
Step-by-step explanation:
We want to evaluate the integral:
[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt[/tex]
Since this is a product of two functions, we can use Integration by Parts. Recall that:
[tex]\displaystyle \int u\, dv = uv - \int v\, du[/tex]
Let u be t² - 3t and let dv be sin(t).
Thus:
[tex]du = 2t - 3\, dt[/tex]
And:
[tex]\displaystyle v = \int \sin t\, dt = - \cos t[/tex]
So:
[tex]\displaystyle =\left(-\cos t\right)\left(t^2-3t\right)\Bigg|_0^{\pi/2}-\int_{0}^{\pi/2} \left(-\cos t\right)\left(2t-3\right)\, dt[/tex]
Simplify:
[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_{0}^{\pi /2}+\int\limits^{\pi/2}_ {0} \,\cos(t)(2t-3)\, dt[/tex]
We can use IBP once more.
Let u be 2t - 3 and let dv be cos(t). Therefore:
[tex]du = 2\, dt[/tex]
And:
[tex]\displaystyle v = \int \cos t\, dt = \sin t[/tex]
So:
[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_0^{\pi/2}+\left(\sin(t)(2t-3)\Bigg|_0^{\pi /2}-\int\limits^{\pi/2}_0 \, 2\sin(t)dt \right)[/tex]
Evaluate:
[tex]\displaystyle =-\left(\cos t\right)(t^2-3t)+\sin(t)(2t-3)+2\cos(t)\Bigg|_0^{\pi /2}[/tex]
Evaluate the first section:
[tex]\displaystyle \begin{aligned} &= -\cos\left(\frac{\pi}{2}\right)\left(\left(\frac{\pi}{2}\right)^2-3\left(\frac{\pi}{2}\right)\right)+\sin\left(\frac{\pi}{2}\right)\left(2\left(\frac{\pi}{2}\right)-3\right)+2\cos \left(\frac{\pi}{2}\right)\right) \\ \\ &= (0) + (1)(\pi -3) + (0) \\ \\ &= \pi -3 \end{aligned}[/tex]
And the second:
[tex]\displaystyle \begin{aligned} &= -\cos(0)((0)^2-3(0))+(\sin(0))(2(0)-3)+2\cos(0 ) \\ \\&=(0)+(0)+(2) \\ \\ &= 2\end{aligned}[/tex]
Therefore:
[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt = (\pi -3) -(2) = \pi -5[/tex]
Is the answer A B C D or E
Answer:
i think it might be D
if dm=50 what ia the value of r?
Answer:
r = 15
Step-by-step explanation:
Line segments DG and GM add up to DM:
r + 3 + 4r - 28 = 50
5r - 25 = 50
5r = 75
r = 15
Answer:
15
Step-by-step explanation:
Given:
DG = r + 3GM = 4r - 28DM = 50r = ?Solution:
DM = DG + GMr + 3 + 4r - 28 = 505r - 25 = 505r = 50 + 255r = 75r = 75/5r = 15y=x ^2+3 A) translate 3 units right B) translate 3 units right C) translate 3 units up D) translate 3 units down
Answer:
translate 3 units up
What are the coordinates of point B on AC such that the ratio of AB to AC is 1:3
Answer:
B) (2/3, 3 2/3)
Step-by-step explanation:
I think whoever write this problem thought the distance from A to C was 10. It’s not. It’s 10.77. (See below). But following what they did, the answer must be B) (2/3, 3 2/3)
First, find the distance from A to C.
4²+10²=c²
16+100=c²
116=c²
c=√116
10=10.77
The coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.
It is given that:
The line segment shown in the picture is in the ratio of AB to AC is 1:3
AB : AC = 1 : 3
m : n = 1 : 3
The coordinate of point A is (2, 7)
The coordinate of point C is (-2, -3)
Let the coordinate of the point B is (x, y)
m = 1
n = 2
x1 = 2
x2 = -2
y1 = 7
y2 = -3
x = (-2+4)/3
x = 2/3
y = (-3+14)/3
y =11/3
y = 3 2/3
B = (x, y) = (2/3, 3 2/3)
Thus, the coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.
The options are:
A. (1/3, 2 5/6)
B. (2/3, 3 2/3)
C. (-2/3, 1 1/6)
D. (-2/3, 1/3)
Learn more about the segment bisector here:
brainly.com/question/4137998
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what is equivalent to 48+12.
Answer:
60
Step-by-step explanation:
x=48+12 Find what x is
x=60 X is 60
I don't know so please help
there are five united states athletes, four russian athletes, three french athletes, and one german athlete. How many rankings of the 13 athletes are there
Answer:
There are 6227020800 possible rankings
Step-by-step explanation:
Given
[tex]Athletes= 13[/tex]
Required
Number of Rankings
Let the number of athletes be n;
Since each athlete can only take one position at any given instance, the number of rankings is [tex]n![/tex]
Where [tex]n = 13[/tex]
Substitute 13 for n
[tex]13! = 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 *3 * 2 *1[/tex]
[tex]13! = 6227020800[/tex]
Hence, there are 6227020800 possible rankings
help me, i will give a lot of points for this
180 degree angle take away 134 degree angle equal
Answer:
46 degree
Step-by-step explanation:
180-134=46
=>46 degrees
12,333 to the nearest hundred
Answer: 12,300
Step-by-step explanation: So you first locate the hinders a place. Then you look at the numbers behind it. If it is less than under 49 then you keep it at the hundred unit that it is at. In this case 300. That’s how you get it! Sorry I’m bad at explaining.
select the decimal that is equivalent to 29/37
Answer:
I googled it and it said that 29/37 as a decimal was 0.783783784
The required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].
An equivalent expression, equivalent to 29/37 is to determine.
Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.
Given fraction,
= 28/37
when dividing 28 by 37 the outcome is
= 0.783783783783.......
The above expression is a recurring decimal it can be transformed as [tex]0.\bar7\bar8\bar3[/tex] where the bars over the number show the repeating digits.
Thus, the required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].
More information about recurring decimal check it out here:
https://brainly.com/question/820308
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In Yakuna it was -13 degrees in the morning. The highest tempature was 29. Was was the total number the temp. increased
Answer:
42 degrees
Step-by-step explanation:
Use a number line.
-13 - 13 = 0.
Now, we are at the base, 0. Then, add 29.
13 + 29 + 42.
The answer is 42. Hope it helps!
pls pls help meee Provide the missing reasons for the proof.
Answer:
b. common sides
c. from statement a and b
d. from statement c
f. from statement e
g. by SAS axiom
h. from statement g
Use the given graph to determine the limit, if it exists. Find limit as x approaches three from the left of f of x. Please include an explanation in your answer, I don't really understand limits so I'll give brainliest to the best explanation.
Answer:
[tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Graphical Limits
Step-by-step explanation:
As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.
∴ [tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits