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.
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Answer:
For (a)
Well let “x” be amount of sales
And let ”y” be total pay
so 1200 is the base pay/ weekly
And a 5 percent commission on amount of sales
5 percent can be written as 0.05
Now we can make an equation
1200+0.05x = Y
So that would be your equation
Now for (b)
If she sold 10,000 that week as commission we can just plug it into our equation
1200+0.05(10,000)=y
Now solve
5 percent of 10,000 is 500 dollars.
Now 1200+500=1700
(b) is 1700 earned that week
Now for (c)
We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.
So same equation
1200+0.05x=3000
x=36,000 have to be solve in order to make 3,000 income Per week.
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x + y = 3
2x + 2y = 6
Answer:
x = Infinite answers.
y = Infinite answers.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
2x + 2y = 6
2x + 2y = 6
=> Therefore, x and y have infinite values that can fit the equation.
Hoped this helped.
5. Look at the shaded products. What pattern do you see?
Answer:
8+6+4
Step-by-step explanation:
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
Lee is creating a garden with the dimensions shown.
Lines are drawn inside a large triangle at each point to create smaller triangles. Line A B is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to A B is 36 degrees. Line Z Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to Z Y is 65 degrees. Line X Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to X Y is 79 degrees.
He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?
The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.
Mark this and return
 Find the perimeter. Simplify the answer
Answer:
20v + 6
Step-by-step explanation:
Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7
Perimeter = 2v + 18v + 20 - 14
Perimeter = 20v + 6
-Chetan K
Answer:
Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10
= 20v + 6...ans
Step-by-step explanation:
Hope i lt Helps you!!−6/7 m = −84
what does m =
Answer:
m=98
Step-by-step explanation:
-6/7m=-84 - Divide both sides by -6/7
-84/(-6/7)=84*7/6=98
Answer:
m = 98
Step-by-step explanation:
First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.
Hope this helps you :)
- You find a recipe for cookies. You want
to know how much sugar is in each cookie.
The recipe uses 3/4 cup of sugar and makes
one-dozen cookies. Find the amount of sugar
per cookie. Show unit rate work. Use fractions
not decimals.
Answer:
1/16
Step-by-step explanation:
3/4 ÷ 12
3/4 x 1/12
3/48 or 1/16
Hope this helps!
Answer:
1/16
Step-by-step explanation:
recipe uses 3/4 cup of sugar for one dozen cookies
3/4 cup ------ 12 cookies
x ------- 1 cookie
x * 12 = 3/4
x = 3/4 / 12
x = 3 / (4*12)
x = 1 / 4*4
x = 1/16
find the equation of a line perpendicular to y=x-3 that contains the point (2,1)
Answer:
y = -x + 3
Step-by-step explanation:
y = x - 3 This equation has a slope of 1
A line that would be perpendicular to the above line would then need a slope of -1
If the line has a slope of -1 and passes through (2, 1) then we can plug into
y = mx + b to get the 'b' value
1 = (-1)(2) + b
1 = -2 + b
3 = b
Equation would be y = -x + 3
Help me please!!!!!!!!!!!!!!!!!!
Answer:
d.
took the test
Step-by-step explanation:
A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards before lifting off the ground to travel another 705 yards after which point the plane will be directly over the tower. If the plane had continued on the runway, it is another 700 yards to the control tower, which is 250 feet high.
Answer:
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Step-by-step explanation:
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
h = √(R² - x²)
We have;
R = 705 yards
x = 700 yards
∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281
The height of the control tower, h = 5·√281 yards
1 yard = 3 feet
∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
pls help asap! i will
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Answer:
m∠ABC = 40°
Step-by-step explanation:
(4x - 4)° = 2(x + 9)°
4x - 2x = 18 + 4
2x = 22
x = 11
m∠ABC = (4(11) - 4)° = 40°
Find the perimeter. Simplify your answer.
add all the sides!
[side one] + [side two] + [side three]
[7y + 10] + [7y + 10] + [y - 4]
= 14y + 20 + y - 4
= 15y + 16
hope this helps :) !!
Answer:
15y + 16
Step-by-step explanation:
2(7y + 10) + y - 4
14y + 16 + y
15y + 16
60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answer:
31800000
Step-by-step explanation:
Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.
Answer:
it does have a solution x=0
Step-by-step explanation:
9x+15=3x+15
6x+15=15
6x=0
x=0
Answer:
I agree.
Step-by-step explanation:
Here is my explantion:
[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]
A parallelogram has an angle whose measure is 4 times the measure of
another angle of the parallelogram. What are the measures of the angles
of the parallelogram?
Answer:
The measures are 36 and 144 and similarly 36 and 144
Which expressions are equivalent to
-1/3(12-9+6x)
Answer:
-2x-1
Step-by-step explanation:
first you simplify what is inside the parenthesis to get: -1/3(6x+3)
then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1
Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
I dont know what this is no links please
Answer:
Hamm i think si r or q mm sorry if it's wrong
Step-by-step explanation:
I think the answer would be q
Complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
DEF
Step-by-step explanation:
If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.
4.It is your first day on the job. Your supervisor asks you to distribute materials to three job sites. She asks you to take the following to each site: How much of each material do you load on the truck?
Answer:
27 boxes of nails, 26 boxes of drywall, 46 rolls of insulation, 30 bags of mortar mix
Step-by-step explanation:
Boxes of nails = 4 + 13 + 10 = 27
Boxes of drywall = 6 + 9 + 11 = 26
Rolls of insulation = 18 + 23 + 5 = 46
Bags of mortar mix = 12 + 4 + 14 = 30
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?
taking math test plz help
Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
To learn more about nearest tenth refer to:
https://brainly.com/question/859948
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find three positive consecutive integers such that the product of the smallest and the largest is 26 more than six times the middle integer
Answer:
8, 9, 10
Step-by-step explanation:
three positive consecutive integers
x, x + 1, x + 2
the product of the smallest and the largest is 26 more than six times the middle integer
x(x + 2) = 6(x + 1) + 26
Expand
x^2 + 2x = 6x + 6 + 26
Combine like terms
x^2 + 2x = 6x + 32
Subtract 6x + 32 from both sides
x^2 - 4x - 32 = 0
Factor
(Alternately use the quadratic formula or complete the sqaure)
(x - 8)(x + 4)
x = {-4, 8}
-4 is extraneous because the integers must be positive
x = 8
x + 1 = 9
x + 2 = 10
8, 9, 10
Answer:
[tex]8,9,10[/tex]
Step-by-step explanation:
We can make this an equation and use the variable n to represent our numbers
[tex]n-1(smallest)[/tex]
[tex]n(middle)[/tex]
[tex]n+1(largest)[/tex]
[tex](n-1)\cdot (n+1)=6n+26[/tex]
[tex]n^2-1 = 6n+26[/tex]
[tex]n^2 - 6n - 27 = 0[/tex]
After we factorize we get
[tex]n=9[/tex]
since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]
brainliest please :)
will give brainliest
Answer:
y=-2x+9
Step-by-step explanation:
You can eliminate one by one. Since it needs to go downward, it is negative, so B and C are eliminated. y=-5x+11 will have a completely different course, so it is y=-2x+9
Which expression shows the number 19.65 correctly decomposed?
19 + 0.6 + 0.05
10 + 9 + 0.6 + 0.05
10 + 0.6 + 0.05
19 + 9 + 0.6 + 0.05
Answer: 10 + 9 + 0.6 + 0.05
Answer:
..............................................................
Step-by-step explanation:
..........................................................................
..........................................................................
(4 x 100,000) + (6 x 10.000) =
Answer:
answer is 400060
have a good day!!
If it's help pls give me Brainliest
tysm
Answer:
4000,060
answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060
-----------------------------------------------------------
Standard form / Slope intercept form
_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------
Answer:
1.) y=3x-7
2.) 2=5x-y
3.) y=-4-2x
4.) 1=3/4x+y
5.) y=4x+8
6.) 9=3/4x+8
7.) 9=y+x
8.) y=-2/6x+2
9.) 5=-2/3x+y
Step-by-step explanation:
Standard form is Ax=By=C and Slope form is y-mx+b
for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:
3x-y=7
+7 -7
3x-7=y
then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8
Hi I really need help with this question please 15 POINTS!!
What effect does replacing x with x + 6 have on the graph for the function f(x) ? f(x)=|x+3|−2
The graph is shifted down 6 units.
The graph is shifted up 6 units.
The graph is shifted right 6 units.
The graph is shifted left 6 units.
Answer:
answer attached
Step-by-step explanation:
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer: 89 cm^2/minute
Step-by-step explanation:
Initial Area: 11 x 5 = 55 cm^2
Area after 1 minute: 18 x 8 = 144 cm^2
The area of the triangle is increasing by
