Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
https://brainly.com/question/12559989
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?
Answer:
The store sold 21 T-shirts and 18 pairs of shorts.
Step-by-step explanation:
x = the number of T-shirts sold
y = the number of pairs of shorts sold
x + y = 53
12x + 9y = 570
x = 21 T-shirts
y = 18 shorts
Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.
No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)
what is the solution set of the equation set 3|5-x|+2=29 ?
Answer:
Answer: x = - 4 or x = 14.
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.
Q8. the distance between two villages is 12875km. Express the distance in standard form.
Answer:
1.2875 × 10^4
Step-by-step explanation:
Due in an hour help me
Please I have to pass
Answer:
A is answer
Step-by-step explanation:
find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17
Answer:
I think these are the answers
a) 3
b) 1
c) 1
Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
Hope this helps <3
The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.
A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes
Answer:
29.4 minutes represents the 60th percentile
Step-by-step explanation:
Given : The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.
To Find : Which time represents the 60th percentile?
19.6 minutes
26.6 minutes
29.4 minutes
36.4 minutes
Solution:
time represents the 60th percentile
Means 60 % data = 0.6 below this
from z table , z score for this = 0.253
z score = ( Value - Mean ) / SD
=> 0.253 = ( Value - 28 ) /5.4
=> 1.3662 = Value - 28
=> Value = 29.3662
=> Value = 29.4
29.4 minutes represents the 60th percentile
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
vertical angles theorem#3
Third angle therom#4
Definition of congruence#5
Reflexive#6
Definition of bisect#7
SASStep-by-step explanation:
Missing reasons:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSS35 is 25% of what percent
Answer:
140
Step-by-step explanation:
35 ÷25%
35 ÷ 25/100
140
ok I am a little confused here but I think I may know what your asking.
What is 25% of 35? or you could be asking 35 is 25% of what number?
I'll answer both just in case.
What is 25% of 35?: 35 ÷ 4 = 8.75%
35 is 25% of what number?: 35 x 4 = 140
Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Answer:
7.3*
Step-by-step explanation:
do the inverse:
22/3=7.3*
*=recurring
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
3/8*(-36)
Answer:
-27/2
Step-by-step explanation:
3/8 × -36
(3×-36)/8
-108/8
-27/2
Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?
write and expression
Answer:
T= total # of jerseys to order
y= # of players
T= 4*y
Total equals 4 times # of players
T= 4y
Here is an inequality -10+x÷4+5>7x-5÷3
Answer:
here is the answer x>1/2
What is the slope intercept equation from the graph?
Please help me thank u!
Answer:
y = -3/2x+3
Step-by-step explanation:
Pick two points on the line
(0,3) and (2,0)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-3)/(2-0)
= -3/2
The y intercept is 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+3
Find the slope of the line x=+6
Step-by-step explanation:
x = 6
is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).
it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).
Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT
Answer:
the answer would be c brainlest if right :0
Step-by-step explanation:
Hello!
-----------------------------------------------------------------------------------------------------------------
I presume the answer is Option C.
It's much easier to evaluate this expression than the other ones.
Hope it helps!
~SparklingFlower
-----------------------------------------------------------------------------------------------------------------
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55
Answer:
I have difficulty understanding the question. I read it as "What is the value of a number that when multiplied by 0.3 times (8/4) is equal to 34.55. This doesn't seem correct, but if it is:
Step-by-step explanation:
(0.3)*(8/4)x = 34.55
(8/4)x = 115.17
x = (4/8)*(115.17)
x = 57.58
21 is the correct answer.
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
100 POINTS IF U GET THIS RIGHT!
[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]
Answer:
Slope: 3/2
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -3x/2 - 3/8
=> Now, let's compare:
=> y = mx + b = y = -3x/2 - 3/8
We can tell that slope = m, which is 3/2.
Hoped this helped.
the decimal equivalent of 14/26
Answer: 0.53846153846154
Step-by-step explanation: you do
= 14/26
= 14 ÷ 26
= 0.53846153846154
If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p
Answer:
Angle 1 = 110
Angle 2 = 110
Angle 3 = 70
Angle 4 = 70
Step-by-step explanation:
Angles 1 and 2 are corresponding angles, and therefore congruent
Angles 2 and 3 are same-side interior angles, and therefore supplementary
Angles 3 and 4 are alternate interior angles, and therefore congruent.
Answer:
Angle 2: 110
Angle 3: 70
Angle 4: 70
-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=
Answer: (1,10)
Step-by-step explanation:
Assuming these are the correctly written equations:
-x + 5y = 49, and
x - 4y = -39
I'll rewrite them:
5y = x + 49
y = (1/5)x + (49/5)
-4y = -x -39
y = (1/4)x + (39/4)
=====
I'll assume the question is to find the point these two lines intersect (?).
See the attached graph. They intersect at (1,10).
find the slope of the line
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
What is determinant ?
Answer:
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.
Answer:
It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.
What is the degree of angle o?
Show work
