Solution :
From the triangle,
[tex]$x^2 = s^2 + 90^2$[/tex]
[tex]$x = \sqrt{s^2 + 90^2}$[/tex]
Now differentiating w.r.t "t", we get
[tex]$\frac{dx}{dt}=\frac{d}{dt}\left(s^2 +90^2 \right)^{1/2}$[/tex]
[tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{\frac{1}{2}-1} \cdot 2s \cdot \frac{ds}{dt}$[/tex] [chain rule]
[tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{-\frac{1}{2}} \cdot 2s \cdot \frac{ds}{dt}$[/tex]
[tex]$=\frac{s}{\left(s^2 + 90^2\right)^{\frac{1}{2}}} . \frac{ds}{dt}$[/tex]
But given that [tex]$\frac{ds}{dt}$[/tex] = 100 ft/s
When all the ball crosses the third base, this means that s = 90. So substituting the value of s and [tex]$\frac{ds}{dt}$[/tex] in [tex]$\frac{dx}{dt}$[/tex] , we get
[tex]$\frac{dx}{dt} = \frac{90}{\left(90^2 +90^2\right)^{1/2}} \times 100$[/tex]
[tex]$\frac{dx}{dt} = \frac{90}{\sqrt{8100+8100}} \times 100$[/tex]
[tex]$\frac{dx}{dt} = 50\sqrt2$[/tex]
= 70.710 ft/s
Find the slope of a line that passes through (4, 1) and (6, 5).
plssss show your work thx plssss
Answer:
Slope = 2
Step-by-step explanation:
Answer:
is this what youre looking for ?
Step-by-step explanation:
Input Data :
Point A ( x A , y A ) = (3, 2)
Point B ( x B , y B ) = (7, 10)
Objective : Find the slope of a line that passes through points A and B.
Formula : Slope m = y B − y A /x B − x A
Solution: Slope m = 10 − 2 /7 − 3 = 8 4
m = 2
A square has an area of 72 square inches. What is the side length?
Answer:
8.5
Step-by-step explanation:
:)
Which expression equals 2??
2.2.2.2.2.2.2
O 2+2+2
2 + 2 + 2 + 2
O 2+7
O 2.7
Answer:
That doesn't make sense to me but what does O means?
Step-by-step explanation:
Well maybe its 2.2.2.2.2.2.2
Answer:
if ur rounding then its 2.2.2.2.2.2.2
Step-by-step explanation:
Solve for x:
7x = 105
Answer:
X=15
Explanation: You have no like terms to combine and are at the last step of the algebraic equation. So, you would divide 7 on both sides. 7 by 7 cancels it out and 105 divided by 7 equals 15. Hope this helps ^-^.
The solution to the equation 7x = 105 is x = 15.
We have the equation: 7x= 105
To solve for x in the equation 7x = 105, we need to isolate x on one side of the equation.
Divide both sides of the equation by 7:
(7x)/7 = 105/7
Simplifying:
x = 15
Therefore, the solution to the equation 7x = 105 is x = 15.
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n-17 = 24
Step to step
Answer: 41
Step-by-step explanation: Add 24 plus 17
Can I get some help with this is the Last question
Answer:
x = 11
Step-by-step explanation:
Here, we want to get the value of x
Let’s start by looking at the point U
Now, we can see angles on a straight line at that point
Mathematically, angles on a straight line are supplementary
What this mean is that they add up to 180
Now, the value of the angle that falls into the triangle on that straight line will be;
180-(11x + 12)
Now, we have all the angles of the triangle
Mathematically, the sum of all is 180 as the a sum of the angles of a triangle is 180
5x + 10 + 58 + 180-(11x+2 )= 180
5x + 10 + 58 -11x-2 = 0
-6x+ 66 = 0
6x = 66
x = 66/6
x = 11
While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?
Answer:
I wnat to say its 19
Step-by-step explanation:
styles clash vs rko who will win
Answer:
rko
Step-by-step explanation:
Answer:
Step-by-step explanation:
styls clash baaaabyyy
When a system of linear equations has a
solution.... what am I actually finding when I
solve for x and y?
Answer:
You are finding the intersection point of the system of linear equations.
Step-by-step explanation:
You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.
can someone help please
If you tell me all the right answers I will mark you brainliest!!
Answer:
11 is natural, real, integer and whole number.
1% is irrational and real, integer.
√25 = 5 hence it's natural, real, integer and whole
√50 is rational and real, integer.
1.333… is natural, real and integer
2.3×10^5 is natural, real, integer and whole number.
Expand.
Your answer should be a polynomial in standard form.
(9+ m)(-m +9)=
Answer: -1m²+81
Step-by-step explanation:
correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient
of the first term in a polynomial in standard form.
FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81
answer -1m²+81
- Find the value of x for which ABCD must be a parallelogram.
9514 1404 393
Answer:
x= 5
Step-by-step explanation:
Sides BC and AD will be parallel when the two marked angles have the same measure:
5x -3 = 14x -48
45 = 9x . . . . . . . . . add 48-5x
5 = x . . . . . . divide by 9
Nyanna solved the equation
8(x – 3) + 7 = 2x(4 – 17) incorrectly.
Find the error in her solution. Use the sketch tool and
explain your reasoning.
Answer:
1/2
Step-by-step explanation:
Or, 8(x-3)+7= 2x(4-17)
Or, 8x-24+7=2x(-13)
Or, 8x-17= -26x
Or, 34x=17
x=1/2
on a certain day the temperature at midday was 14°c.By midnight the temperature had fallen by 17°c what was the temperature at midnight
Answer:
-3c
Step-by-step explanation:
Answer:
-3c
Step-by-step explanation:
according to my calculations this is right
The Nguyen family is traveling cross-country, driving 300 miles each day. Let 2 represent the number of days in the trip and let y represent the total number
of miles driven.
Write an equation to model their trip.
Enter the correct equation in the box.
Step-by-step explanation:
y = Total number of miles driven
= Number of days * Number of miles per day
= (x) * (300).
Therefore the equation is y = 300x.
When x = 2, y = 300(2) = 600.
The Nguyen family drove 600 miles during the 2 days.
y=4x + 1 what is the value of x=5 ?
Answer:
21
Step-by-step explanation:
Y=4x+1
y=4(5)+1
substitute and solve
Answer
21
Step-by-step explanation:
2.00llons is
equal to how
many liters
I want to know how to expand x(4 - 3.4y)
Answer:
X(4-3.4y)
= 4x - 3.4xy
Step-by-step explanation:
Item 6 A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters. Which equations could be used to determine the volume, V, of the prism? Select each correct answer. V = 12 × 5 V = 5 × 4 × 4 V = 8 × 4 × 5 V = 32 × 5
Answer:
I am 100% sure that the answer is 240.
Step-by-step explanation:
The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.
Since, the volume of the prism is given as the product of its length, width and sides.
For the given prism the volume can be obtained as,
V = 8 × 4 × 5
⇒ V = 160 m³
Hence, the correct equation is given as V = 8 × 4 × 5.
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HELP HELP HELP!!!!! Please help!
Answer:
Regular peanut butter - .23
Family Size Peanut Butter - .15
Answer:
#1: 0.23
#2: 0.15
Step-by-step explanation:
1.38/ 6= 0.23
6*0.23= 1.38
7.80/ 52= 0.15
0.15*52= 7.80
Carlos rode the elevator up 4 floors, then down 2 floors. He then rode down 5 more floors and got off on the first floor. Where was Carlos when he began his elevator ride?
Answer:
fourth floor
Step-by-step explanation:
Which of the following uses the reciprocal property to rewrite x/5 = 72/4
Please help me :)
Answer:
??You texted incomplete question.
By the way, x = 90
what is 9 : 45 = 6 : ?
Answer:6:45
Step-by-step explanation:
Answer:
x = 30
Step-by-step explanation:
a ratio is just a fraction
9:45 = 9/45
6:x = 6/x
now you have 9/45 = 6/x
cross multiply:
9 * x = 45 * 6
9x = 270
divide both sides by 9
9x/9 = 270/9
x = 30
Find the measure of each missing angle.
Answer:
m< 3 = 180 - 93
m< 3 = 87 degrees
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
m< 2 is vertically opposite to the 49 degree angle given
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
What are vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
We can determine angle 3 as;
m< 3 = 180 - 93
m< 3 = 87 degrees
Also,
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
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What is the following quotient?
Answer: A edge 2021
Step-by-step explanation:
7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answer:
10
Step-by-step explanation:
someone help!!!!!!!!
Answer:
1) given
2) alternate interior angles
3) given
4) definition of midpoint
5) vertical angles
6) ASA
Step-by-step explanation:
Find the x-intercept and y-intercept
from the following linear equation:
- 7x + 4y = 56
x-intercept ([?],[ ])
y-intercept ([?],[ ])
Consider the expression: 7+4(n 3)
1) Which math word would NOT be used to describe the given
expression?
A)
divisor
B)
difference
subtract
D) product