Tell whether the given side lengths form a right triangle.
6, 11, 16

Answers

Answer 1

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.


Related Questions

45°
9
X
Find the value of x. Write your answer in simplest form.

Answers

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

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?

Answers

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

The equation of the line shown in the graph is y = ?.

Answers

equation if the line for the graph is
y = -2x+1

Find the distance between the points (0, 4) and (10, 0).

Answers

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:

Help this is due in 2 minutes

Answers

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

Determine if the graph of the function opens up or down. Explain how you know

Answers

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.

Help me fast please

Answers

Answer:

The answer is the third option, 20.

20
It proportional
12/15 = x/25
Solve for x
4/5 = x/25
100 = 5x
20 = x

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.

Answers

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!

What is the following product

Answers

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

Find the lower quartile (Q1).

55, 60, 65, 95, 90, 75, 75, 80, 85, 80, 85, 85

Answers

Answer:

Hi! The answer to your question is 65

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

PLZ helpppp
Explain where you would draw all lines of symmetry for each shape

Answers

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:

Is 0.8 bigger than 46.91?

Answers

Answer:

no

Step-by-step explanation:

no it’s not 0.8 isn’t even bigger than 1

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

Answers

So, honestly if its allowed you can just graph the equation ti prove the y intercept is five

If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?

Answers

Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

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?

Answers

Possibly value of a would be 0

Find the perimeter of ten digits to the nearest hundredth. (I’ll mark brainliest if correct)

Answers

18.85 + 10 + 8 + 6 = 42.85

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.

Answers

Answer:

Step-by-step explanation:

y = -x - 9

y = 2x + 3

Find point of intersection

2x + 3 = -x - 9

x = -4

Intersection: (-4,-5)

how do i solve for x and y?

Answers

Answer:

X= 8 and y= 138

Step-by-step explanation:

IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION

can someone help me with this... also can you do this on paper...

Answers

here you go hope this helps!

heyy dude just wanted points. so yeah.

daily limit on the videos for free answers ....completely and utterly st up id.

Answers

Answer:

I was not aware of the "daily limit" thing for answers

Step-by-step explanation:

Solve the equation lol 54x+6x-30=7(x+2)+3x

Answers

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


Find the slope of each line.
plsssss help

Answers

the slope of this line is either A) 3 or C) 1

I think its 3


Can you please help me I am in a rush

Answers

16 floors, because you divide 193.6 by 12.1 to give you 16

line e has a slope of 9/8. line f is parallel to line e. what is the slope of line f?

Answers

Answer: 9/8

Step-by-step explanation:

Carmen said that the probability of an event occurring is 100. Is this probability possible?

Answers

Answer:

maybe

Step-by-step explanation:

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.

Answers

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.

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:​

Answers

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

if today is Wednesday what day of the week will it be after 39 days?​

Answers

Answer:

Monday, may 31, 2021

Step-by-step explanation:

:)))

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

Answers

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

Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .

Answers

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

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