Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:
[tex]16^2=256[/tex]
Sum of the squares of the two smaller sides is:
[tex]6^2+11^2=36+121[/tex]
[tex]6^2+11^2=157[/tex]
Since [tex]6^2+11^2\neq 16^2[/tex], therefore the given triangle is not a right angle triangle.
Help this is due in 2 minutes
Answer:
6% growth
Step-by-step explanation:
The equation =
A = 2300(1.06)⁷
What does 0.06 represent in the equation?
The formula for Exponential growth =
y = a (1 +r)^t
Where
y = Size after time t
a = Initial size
r = Growth rate in Percentage
t = Time t
Equating both Equations together
y = a (1 +r)^t = A = 2300(1.06)⁷
1 + r = 1.06
r = 1.06 - 1
r = 0.06
Converting to percent
r = 0.06 × 100
r = 6% growth rate
I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here
A ball is thrown upward from a height of 15 feet with an initial velocity of 64 feet per second. Use indefinite integrals to write the position function of the ball at time t.
Answer:
The equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
Step-by-step explanation:
We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).
And we know that acceleration can be written as a second derivative:
[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)
Now, we can take the integral in each side:
[tex]\int gdt=\int y''dt[/tex]
[tex]\int y''dt=\int -9.81dt[/tex] (2)
Solving the integral in each side we have:
[tex]y'(t)=-9.81t+C[/tex] (3)
Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.
Now, the initial conditions are:
initial height y(0) = 15 feet
initial velocity y'(0) = v(0) = 64 feet/s
Using this condition we can find C. Let's evaluate equation (3) at t = 0.
[tex]y'(0)=-9.81(0)+C[/tex]
[tex]C=64\: feet/s[/tex]
So we have:
[tex]y'(t)=-9.81t+64[/tex] (4)
Now, we need to take the integral of equation (4) to get the position function:
[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]
Solving this new integral we have:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)
Using the same method above, we can find D evaluating (5) at t = 0, we have:
[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]
[tex]D=y(0)[/tex]
[tex]D=15\: feet[/tex]
Finally, the equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
I hope it helps you!
daily limit on the videos for free answers ....completely and utterly st up id.
Answer:
I was not aware of the "daily limit" thing for answers
Step-by-step explanation:
What is the following product
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
how do i solve for x and y?
Answer:
X= 8 and y= 138
Step-by-step explanation:
IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION
Carmen said that the probability of an event occurring is 100. Is this probability possible?
Answer:
maybe
Step-by-step explanation:
If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?
Answer:
10 more shawties
Step-by-step explanation:
30-20 = 10
Help me fast please
Answer:
The answer is the third option, 20.
Find the lower quartile (Q1).
55, 60, 65, 95, 90, 75, 75, 80, 85, 80, 85, 85
Answer:
Hi! The answer to your question is 65
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Is 0.8 bigger than 46.91?
Answer:
no
Step-by-step explanation:
A rectangle has a perimeter of 100. Its length is 5a+225a+22 and its width is \frac{1}{2}\left(a+1\right)
2
1
(a+1). What is the value of a?
Find the slope of each line.
plsssss help
the slope of this line is either A) 3 or C) 1
I think its 3
Find the perimeter of ten digits to the nearest hundredth. (I’ll mark brainliest if correct)
Will give brainliest. Pls help. The volume of a cylinder is 300 feet^3. Find the volume of a cone and a sphere that have the same height and radius as the cylinder.
Cone:
Sphere:
Answer:
Cone: 100ft^3
Sphere: 200ft^2
Step-by-step explanation:
Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:
[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]
So we can just instantly tell that the volume of the cone is 100feet^3.
Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]
[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]
So we can instantly tell that the volume of the sphere is 200feet^3
Determine if the graph of the function opens up or down. Explain how you know
Answer:
Opens up
Step-by-step explanation:
x^2+2x-15
Standard form: ax^2+bx+c
If a<0, then the graph opens down
If a>0, then the graph opens up.
In this case: 1x^2+2x-15
a=1
Since 1>0 then the graph opens up.
The equation of the line shown in the graph is y = ?.
PLZ helpppp
Explain where you would draw all lines of symmetry for each shape
Answer:
AT and H just straight down the middle from top to bottom. The x shape, from one point to is opposit point (an point works i think), and the heart, down the middle top to bottom, and the H can go middle from left to right
Step-by-step explanation:
Solve the equation lol 54x+6x-30=7(x+2)+3x
Answer: 22/25
Step-by-step explanation:
54x+6x-30=7(x+2)+3x
60x-30=7(x+2)+3x
60x-30=7x+14+3x
60x-30=10x+14
60x-10x-30=14
60x-10x=14+30
50x=14+30
50x=44
x=22/25
The growth rate of Las Vegas is about 3.5% per year. If the population in 2010 was 1.35 million, what would be the expected population in 2020?
Answer:
Expected population= 1,904,308 people
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,350,000
Number of periods (n)= 10 years
Growth rate (g)= 0.035 per year
To calculate Future Value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,350,000*(1.035^10)
FV= 1,904,308 people
45°
9
X
Find the value of x. Write your answer in simplest form.
9514 1404 393
Answer:
x = (9/2)√2 = 4.5√2
Step-by-step explanation:
We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:
9 = x·√2
9√2 = 2x . . . . multiply by √2
(9/2)√2 = x . . . divide by 2
if today is Wednesday what day of the week will it be after 39 days?
Answer:
Monday, may 31, 2021
Step-by-step explanation:
:)))
Can you please help me I am in a rush
The graph of x+y= -9 is shown. Use the Add Arrow
tool to graph the equation y = 2x + 3 on the same
coordinate plane. Use the Add Point tool to plot the
solution to this system of linear equations.
Answer:
Step-by-step explanation:
y = -x - 9
y = 2x + 3
Find point of intersection
2x + 3 = -x - 9
x = -4
Intersection: (-4,-5)
line e has a slope of 9/8. line f is parallel to line e. what is the slope of line f?
Answer: 9/8
Step-by-step explanation:
Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .
Answer:
4/5
Step-by-step explanation:
you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction
Cone is formed from 3200 ft of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone
Question :
Cone is formed from 3200 ft³ of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone
Answer:
11.3 feet
Step-by-step explanation:
The volume of a cone = πr²h/3
We are asked to find the radius
The formula is given as:
r = √3V/πh
V = 3200 ft³
h = 24 ft
r = √3 × 2400/π × 24
r = 11.28379 ft
Approximately = 11.3 ft
The radius in feet = 11.3 ft
Find the distance between the points (0, 4) and (10, 0).
Answer: there is no picture I will help if you repost it ? Brainliest if you can I need 4 more to rank up
Step-by-step explanation:
can someone help me with this... also can you do this on paper...
here you go hope this helps!
heyy dude just wanted points. so yeah.
Pete runs an ice cream stand that also sells snow cones served in paper cones. The paper cones he usually uses have a radius of 3 inches and a height of 4 inches, but his supplier is out of them. As a replacement, he purchases paper cones with a radius of 4 inches and a height of 3 inches. How do the volumes of the original and replacement cones compare? A. The replacement cone holds 3π cubic inches more than the original. B. The original and replacement cones have the same volume. C. The replacement cone holds π cubic inches more than the original. B. The original cone holds π cubic inches more than the replacement.
Answer:
The correct answer is;
The replacement cone holds 4·π cubic inches more than the volume of the original cone
Step-by-step explanation:
The given measurements of the cones are;
The radius of the original cone, r₁ = 3 inches
The height of the original cone, h₁ = 4 inches
The radius of the replacement cone, r₂ = 4 inches
The height of the replacement cone, h₂ = 3 inches
The volume of a cone, V = (1/3)·π·r²·h
The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁
∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³
The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂
∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³
The ratio of the volume of the two cones is given as follows;
Volume ratio = V₁/V₂
∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4
The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³
Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.