Mathematics High School

The bottom edge of a 16-foot long cantilever is given by the equation y = 2Vx, where y is the distance the

bottom edge is from ground height, in feet.

y

(a) What is the value of b, the height of the

cantilever, in feet?

b

T

y=2&x

b) To the nearest tenth of a foot, what is the

thickness, T, of the cantilever at x =6 feet?

Answers

Answer 1

Answer:

[tex](a)\ b = 8[/tex]

[tex](b)\ T = 3.1[/tex]

Step-by-step explanation:

Given

[tex]y = 2\sqrt x[/tex]

See attachment

Solving (a): Find b

At point b, [tex]x = 16[/tex]

So, the value of b is:

[tex]b = 2 * \sqrt{16[/tex]

[tex]b = 2 * 4[/tex]

[tex]b = 8[/tex]

Solving (b): Find T

First, we calculate the value of y at point T

[tex]y = 2\sqrt x[/tex]

At point T, [tex]x = 6[/tex]

So:

[tex]y = 2 * \sqrt 6[/tex]

[tex]y = 2 * 2.45[/tex]

[tex]y = 4.9[/tex]

To calculate T, we subtract the calculated height (y) from the value of b

[tex]T =b - y[/tex]

[tex]T = 8 - 4.9[/tex]

[tex]T = 3.1[/tex]

The Bottom Edge Of A 16-foot Long Cantilever Is Given By The Equation Y = 2Vx, Where Y Is The Distance

Related Questions

Translate "Five more than a number is twenty-two"
help!!​

Answers

Let n = a number.

Five more than a number means to add.

This becomes n + 5.

The word "is" means equal in math.

Let's put it all together now.

n + 5 = 22

Done!

Answer:

Step-by-step explanation:

First, let's call "a number": n

Then, "five more than" means to add 5 to what follows or:

n+5=22

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

15 ⁵⁴ this is he answer

Step-by-step explanation:

Because

15= ⁶×⁹ = 53

Answer:

A=15^-54 is the answer to the question

subtract 4 4/6 - 3 2/9

Answers

Answer:

The answer is 1.4

Step-by-step explanation:

Hope this helps Uwu

once subtracted = 14/3 = 29/9

Solve the simultaneous equations

y – x = 3
y = 7x

Answers

Answer:

x=1/2, y=3 1/2

Step-by-step explanation:

substitute y=7x into y-x=3

7x - x = 3

6x = 3

x=1/2

y=7(1/2)

y=3 1/2

The point of tangency is the point where a secant intersects a circle. true or false

Answers

Answer:

False

Step-by-step explanation:

The point of tangency is the point where a tangent intersects a circle.

f(x) = 2x2 + 12x + 1
Determine the vertex !

Answers

Answer:

(-3, -17)

Step-by-step explanation:

The best way to find the vertex is to rewrite the given quadratic in vertex form:  y - k = a(x - h)^2.

The given quadratic is f(x) = 2x2 + 12x + 1.  We will focus on the first two terms and "complete the square."  f(x) = 2x2 + 12x + 1 can be rewritten as

f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is

f(x) = 2(x^2 + 6x + 9 - 9) + 1, or

f(x) = 2( (x + 3)^2  - 9 ) + 1, or

f(x) = 2(x + 3)^2 - 17

Comparing this to

f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k):  (-3, -17)

A 20-ounce soft drink costs $1.80. A 12-ounce soft drink costs $1.32.

Answers

Answer:

Where do you get this soft drink?

For which of the funds shown would you pay the most commission on the purchase of 100 shares?
a.
Green Energy
b.
TJH Small-Cap
c.
Upton Group
d.
WHI Health

Answers

Answer:A.Green Energy (took on endgenuity)

Please help me the question is in the picture and the answers are one of the below

Answers

40%
explanation: 40% of 75 is 30 and the difference between the two prices is $30
hope that helps!!

BRAINLIEST PLUS 30 points if correct! NO LINKS OR WILL REPORT

Answers

Answer:

Do the two data sets have approximately the same center? No.

Which data set has the greater spread? The first one.

Step-by-step explanation:

Hope it helps !!:)

Please help ASAP I’ll mark you as brainlister

Answers

The correct answer is 300!

a shark dove under water.First he dove 8 5/6 yards below sea level. Then he came up 5 1/2 yards. Finally, he dove 6 1/4 yards deeper. What was the sharks depth then?

A:8 1/2 yards
B:15 1/24 yards
C:8 17/24 yards
D:8 7/12 yards

Answers

I think the answer is A

Answer:

9 7/12

Step-by-step explanation:

you may have mis typed an answer or the answer choice has a typo

8 5/6 - 5 1/2 + 6 1/4 or 8.83333333 - 5.5 + 6.25 = 9.58333333 or 9 7/12

DID I GET THESE TWO RIGHT? I WILL MARK YOU BRAINIEST ASAP
1) what is 32% of 50 pounds. the answer i got 16

2) what is 16% of $8?
answer i got was 1.28

Answers

Answer:

1 is 16 and 2 is 1.28

Step-by-step explanation:

you got them correct

The table below shows the relationship between the side length of a polygon and its perimeter. Which of the following is the constant of proportionality for this relationship?
A.125
B.8
C.1
D.4

Answers

Answer:

A is the correct answer

Step-by-step explanation:

WORTH 50 POINTS please help

Answers

Answer:

See below.

Step-by-step explanation:

Part A

Function A.

x  y

3  3

5  7

6  9

slope = (9 - 7)/(6 - 5) = 2

y = 2x + b

3 = 2(3) + b

b = -3

y = 2x - 3

Function A is y = 2x - 3

Function B.

(0, 3)

(-5, 0)

slope = (0 - 3)/(-5 - 0) = -3/-5 = 3/5

b = 3

Function B is y = 3/5 x + 3

Function C is 3x + 1

Part B

The rate of change of a linear function is the slope.

Answer:

Function B

Function A

Function C

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer:

3 tens

2 hundreds

5 thousands

7 thousands

Write the following statement in if-then form.

All cats chase mice.

Answers

if cats like playing with mice then they will chase them

Find the area of the square pyramid represented by this net. 6 cm 4 cm​

Answers

64 cm

(Pls brainliest)

A hexagon is inscribed in a circle As see in the picture.Find the length of an arc between consecutive vertices. Round to the nearest hundred

Need help homework

Answers

Answer:

The length of the arc between consecutive vertices is:

[tex]S=8.38\: in[/tex]

Step-by-step explanation:

The angle between consecutive vertices is 60°, it is because it forms an equilateral triangle.

Now, the length arc is defined as:

[tex]S=R\theta[/tex]

Where:

R is the radius (R = 8 in)θ is the angle of the arc

We see the angle is in grades, but we need to convert it to radians.

[tex]\theta=\frac{60^{\circ}}{360^{\circ}}(2\pi)[/tex]

[tex]\theta=1.05\: rad[/tex]

Finally, the length of the arc between consecutive vertices will be:

[tex]S=8*1.05[/tex]

[tex]S=8.38\: in[/tex]  

I hope it helps you!

Find the perimeter and area of this figure. Plz show work

Answers

Answer:

perimeter = 30.56 units

Step-by-step explanation:

perimeter of full circle = 2(4)(3.14) = 25.12

perimeter of semi circle = (25.12)(0.5) = 12.56

perimeter = 12.56 + 10 + 8 = 30.56

question 1) 25of a number is 80. What is 34of the same number?

Answers

Answer:

55 stamps, 24 girls, and 60cm

Step-by-step explanation:

Big Brain

4) TRUE OR FALSE: Logarithms and Exponentials are inverses of each other 1 point
if their bases are the same!*
True
False

Answers

Answer:

True

Step-by-step explanation:

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay.

PLZ HELP QUICK WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

12.

the formula for the volume of a cone is V=1/3hπr²

549.5 = 1/3(21)(3.14)(x)^2

549.5 = 7(3.14)(x)^2

549.5 = 21.98(x)^2

549.5 = 21.98(x)^2

divide by 21.98 on both sides

25 = (x)^2

sqrt 25 = sqrt x^2

5 = x

13.

the formula for the volume of a sphere is V=4/3πr^3

v=4/3(3.14)9^3

v=4/3(3.14)729

v=(4.186)729

v=3052.08

14.

the formula for the volume of a sphere is V=4/3πr^3

523=4/3(3.14)r^3

523=4/3(3.14)r^3

523=(4.186)r^3

divide by 4.186 on both sides

124.92=r^3

cube root on both sides

4.998=r

round

5=r

Please mark brainliest this took me a while

How many different outfits can I make with 6 shirts 4 pants and 3 pairs of shoes ?

Answers

Answer:

72

Step-by-step explanation:

(6x4)x3

24x3

72 there you go

(HELP PLEASE)
The legs of a right triangle measure 7 inches and 12 inches.
What is the length, in inches, of the hypotenuse?
(The answer choices are in the picture)

Answers

Answer:

ASnwer is D

Step-by-step explanation:

13.89244 x  13.89244

ill mark brainliest, question is attached

Answers

Answer:

y = 10

Step-by-step explanation:

2 (4y - 7) = 66

8y - 14 = 66

8y = 80

y= 10

Jake makes nine loads of all the bread. He uses 30 grams of olives in each loaf. He started with 1 kg of olives how many grams of olives does Jake have left

Answers

9514 1404 393

Answer:

  730 grams

Step-by-step explanation:

1 kg is 1000 g.

The amount remaining is ...

  1000 g - 9(30 g) = (1000 -270) g = 730 g

Jake has 730 grams of olives left.

Please please please help me fast

Answers

The answer is A, because if you look, it 55 is the mid range.

Answer:

I would choose A as the right answer

What is the name ?
I need help please

Answers

Answer:

chord

Step-by-step explanation:

How many solutions does this equation have?

–2 + 2s = –3s + 8

Answers

Answer:

Step-by-step explanation:

-2 + 2s = - 3s + 8

-2 - 8 = - 3s - 2s

-10 = - 5s

-10/-5 = s

2 = s

Answer:

2

Step-by-step explanation:

-2+2s=-3s+8

-2+2s-(-3s)=8

-2+2s+3s=8

-2+5s=8

5s=8-(-2)

5s=8+2

5s=10

s=10/5

s=2

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